The height of the rectangular pyramid is 7 ft.
How to get the height of the rectangular pyramid?
First, we know that the volume of a rectangular pyramid is given by:
[tex]V = B*H/3[/tex]
Where B is the base, H is the height.
First, we know that the volume is 56 ft³, and the base is 24ft², then we can replace these two in the volume equation to get:
[tex]56 ft^3 = 24ft^2*H/3[/tex]
Solving that for H, we get:
[tex]H = 3*(56ft^3/24ft^2) = 7ft[/tex]
The height of the rectangular pyramid is 7 ft.
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What is the slope of the line represented by the equation y = x-3?
O-3
های د
Answer:
1
Step-by-step explanation:
The slope of a function is equal to the coefficient of x when the equation is in standard form (y=mx+c)
In this case the equation is already in standard form and thusly we can see that the coefficient of x is 1 (the constant has no effect on the slope)
im pulling my hair out with this problem my calculator simplified it to [tex]\frac{1+/-\sqrt{14}}{10}[/tex]
What am i doing wrong?? :')
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{-5} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(-5)}}{2(3)} \implies x = \cfrac{ -2 \pm \sqrt { 4 +60}}{ 6 } \\\\\\ x= \cfrac{ -2 \pm \sqrt { 64 }}{ 6 }\implies x=\cfrac{ -2 \pm 8}{ 6 }\implies x= \begin{cases} ~~ 1\\ -\frac{5}{3} \end{cases}[/tex]
Answer:
-5/3 and -1
Step-by-step explanation:
I am not sure what you mistake is, but here is my solution. I hope that it helps. I am sorry that you are frustrated. We have all been there.
5.
A section of a tessellated plane is shown. Which type of symmetry does the tessellated plane have?
The tessellated plane has translational symmetry option (A) translational symmetry is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
A geometric figure is given:
As we know, from geometric transformation, geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, etc.
Without any further changes, the tessellated plane is moved a few units to the right. If the translated plane is again moved left by the same amount of units, we will once more obtain the original plane. Translational symmetry is present as a result.
Thus, the tessellated plane has translational symmetry option (A) translational symmetry is correct.
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pllllllllllllllllllllleasee one guys i neeed ur help one
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve ~
Calculate discriminant :
[tex]\qquad \sf \dashrightarrow \: 3 {x}^{2} + 6x - 1[/tex]
a = 3b = 6c = 1[tex]\qquad \sf \dashrightarrow \: discriminant = {b}^{2} - 4ac[/tex]
[tex]\qquad \sf \dashrightarrow \: d = (6) {}^{2} - (4 \times 3 \times 1)[/tex]
[tex]\qquad \sf \dashrightarrow \: d = 36 - 12[/tex]
[tex]\qquad \sf \dashrightarrow \: d = 24[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt {d} = 2 \sqrt{6} [/tex]
Now, let's calculate it's roots ( x - intercepts )
[tex]\qquad \sf \dashrightarrow \: x = \cfrac{ - b \pm \sqrt{d} }{2a} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{2 \times 3} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{6} [/tex]
So, the intercepts are :
[tex]\qquad \sf \dashrightarrow \: x = \cfrac{ - 6 - 2 \sqrt{6} }{6} [/tex]
and
[tex]\qquad \sf \dashrightarrow \: x = \cfrac{ - 6 + 2 \sqrt{6} }{6} [/tex]
Answer:
[tex]\left( \dfrac{ -3 + 2\sqrt{3}}{ 3}, \ 0\right), \ \left(\dfrac{ -3 - 2\sqrt{3}}{ 3}, \ 0\right)[/tex]
Explanation:
Given expression:
f(x) = 3x² + 6x - 1
To find x intercepts, set f(x) = 0Use quadratic formula:
[tex]\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ where \ ax^2 + bx + c = 0[/tex]
Here after finding coefficients:
a = 3, b = 6, c = -1Applying formula:
[tex]x = \dfrac{ -6 \pm \sqrt{6^2 - 4(3)(-1)}}{2(3)}[/tex]
[tex]x = \dfrac{ -6 \pm \sqrt{48}}{6}[/tex]
[tex]x = \dfrac{ -6 \pm 4\sqrt{3}}{6}[/tex]
[tex]x = \dfrac{ -6 \pm 4\sqrt{3}}{2 \cdot 3}[/tex]
[tex]x = \dfrac{ -3 \pm 2\sqrt{3}}{ 3}[/tex]
[tex]x = \dfrac{ -3 + 2\sqrt{3}}{ 3}, \ \dfrac{ -3 - 2\sqrt{3}}{ 3}[/tex]
f(x)
Which type of function describes f(x)?
•
Rational
Polynomial
O Logarithmic
• Exponential
Answer:
Exponential function
[tex]y=1.25(2)^x[/tex]
Step-by-step explanation:
Definitions
Asymptote: a line that the curve gets infinitely close to, but never touches.
Hole: a point on the graph where the function is not defined.
Polynomial Function[tex]f(x)=a_nx^n+a_{n-1}x^{n-1}+...+a_2x^2+a_1x+a_0[/tex]
An equation containing variables with non-negative integer powers and coefficients, that involves only the operations of addition, subtraction and multiplication.
A continuous function with no holes or asymptotes.
Rational Function[tex]f(x)=\dfrac{h(x)}{g(x)}[/tex]
An equation containing at least one fraction whose numerator and denominator are polynomials.
A rational function has holes and/or asymptotes.
A rational function has holes where any input value causes both the numerator and denominator of the function to be equal to zero.A rational function has vertical asymptotes where the denominator approaches zero.If the degree of the numerator is smaller than the degree of the denominator, there will be a horizontal asymptote at y = 0.If the degree of the numerator is the same as the degree of the denominator, there will be a horizontal asymptote at y = ratio of leading coefficients.If the degree of the numerator is exactly one more than the degree of the denominator, slant asymptotes will occur. Logarithmic Function[tex]f(x) =\log_ax[/tex]
A continuous function with a vertical asymptote.
A logarithmic function has a gradual growth or decay.
Exponential Function[tex]f(x)=ab^x[/tex]
The variable is the exponent.
A continuous function with a horizontal asymptote.
An exponential function has a fast growth or decay.
Answer: exponential
Step-by-step explanation:
The following table represents a relation. X Y -3 0 0-2 5 -3 11-2 Does the table represent y as a function of c? Why or why not? No, because a number in the input is the same as a number in the output. Yes, because there are no x-values with more than one y-value. Yes, because every x-value has at least one y-value. No, because there are two inputs that have the same output.
The table represent y as a function of c, Yes because every x-value has at least one y-value.
According to the question,
X -3 0 5 11
Y 0 2 -3 -2
In order to find the table represent y as a function of c, When x = -3; y=0; x= 0 ;y=2; x= 0 y=2; x= 5 y=-3; x= 11 y=-2.
No, because a number in the input is the same as a number in the output.⇒ Above option is wrong, because a number in the input is not same as a number in the output.
Yes, because there are no x-values with more than one y-value.⇒ Above option is wrong, because there are many x-values with more than one y-value.
Yes, because every x-value has at least one y-value.⇒ Above option is correct, because every x-value has at least one y-value.
No, because there are two inputs that have the same output.⇒ Above option is wrong, because there are not two inputs that have the same output
Hence, the table represent y as a function of c, Yes, because every x-value has at least one y-value. Above option is correct, because every x-value has at least one y-value.
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Draw at least six different sized rectangles that have an area of 64 square units then find the perimeter of each rectangle.
Six different sized rectangles that have an area of 64 square units:
1) 64 units x 1 unit
2) 32 units x 2 units
3) 16 units x 4 units
4) 40 units x 1.4 units
5) 20 units x 3.2 unit
6) 10 units x 6.4 units
For given question,
Let l be the length of the rectangle and w be the width of the rectangle.
We know that, the area of a rectangle is equal to
A = l × w
Here, A = 64 square units
So, we get an equation
l × w = 64 ...............................(1)
let's assume different values of l to get the different values of w.
Case 1) For l = 64 units
substitute in the equation 1
⇒ 64 × w = 64
⇒ w = 64/64
⇒ w = 1 units
The dimensions of the rectangle are 64 units x 1 unit
See the draw in the attached figure 1
Case 2) For l = 32 units
substitute in the equation 1
⇒ 32 × w = 64
⇒ w = 64/32
⇒ w = 2 units
The dimensions of the rectangle are 32 units x 2 unit
See the draw in the attached figure 2
Case 3) For l = 16 units
substitute in the equation 1
⇒ 16 × w = 64
⇒ w = 64/16
⇒ w = 4 units
The dimensions of the rectangle are 16 units x 4 unit
See the draw in the attached figure 3
Case 4) For l = 40 units
substitute in the equation 1
⇒ 40 × w = 64
⇒ w = 64/40
⇒ w = 1.4 units
The dimensions of the rectangle are 40 units x 1.4 unit
See the draw in the attached figure 4
Case 5) For l = 20 units
substitute in the equation 1
⇒ 20 × w = 64
⇒ w = 64/20
⇒ w = 3.2 units
The dimensions of the rectangle are 20 units x 3.2 unit
See the draw in the attached figure 5
Case 6) For l = 10 units
substitute in the equation 1
⇒ 10 × w = 64
⇒ w = 64/10
⇒ w = 6.4 units
The dimensions of the rectangle are 10 units x 6.4 unit
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3. If the geometric mean of a and 25 is 20,
find the value of a.
Answer:
Value of a is 16.
Step-by-step explanation:
Solution Given:
we know that
Geometric mean=[tex]\sqrt{a*b}[/tex]
By using this formula
20=[tex]\sqrt{a*25}[/tex]
20=5[tex]\sqrt{a}[/tex]
dividing both side by 5, we get
20/5=5/5* [tex]\sqrt{a}[/tex]
4=[tex]\sqrt{a}[/tex]
squaring both side
4²=a
:. a=16
Please answer correctly
Answer:
Option (1)
Step-by-step explanation:
We need a recursive formula.
Eliminate option 3.The common ratio is 2.
Eliminate options 2 and 4.So, the answer is option 1.
please help im sorry it is late but please i dont understand
Answer:
416 people
Step-by-step explanation:
The way you get the answer is by adding up the number of people from the sample, which gives you 175 people. After finding that you take the number of people who like pretzels (26) and divide it by 175, giving you 0.16 or 16%.
This means 16% of people will like pretzels, so you apply this to the actual number of people coming, 2600, and find 16% of 2600 (0.16 x 2600) which is 416 people. I hope this makes sense :)
Identify the 7th term of the geometric sequence in which a2 = 324 and a4 = 36.
Answer:
a7=4/3 or a7=-4/3
Step-by-step explanation:
using the geometric sequences formula
an=ar^n-1
a2=ar
a4=ar³
when a2=324 and a4=36
324=ar...........(1)
36=ar³............(2)
from equation (1) a=324/r substitute in equation (2)
we have :
36=324/r *r³
36=324r²
r²=36/324
r²=1/9
r=±1/3
substitute when r=±1/3 in (1)
324=a(±1/3)
a=±972
so the 7th term is
when r=±1/3
we have
a7=ar^6
a7=±972(±1/3)^6
a7=972/729
a7=4/3 or a7=-4/3
Which of these expressions demonstrates the identity property? 25(0) = 25 25(1) = 25 25 + 0 = 25 25 + 1 = 25
The expressions which demonstrates the identity property of multiplication is; 25(1) = 25 option B
Identity Property
Identity Property of Multiplication states that any number multiplied by 1 does not change, that is, it is constant or remains the same
Check all options
25(0) = 25
0 = 25
Not true
25(1) = 25
25 = 25
True (identity property of multiplication holds)
25 + 0 = 25
25 = 25
True (Not identity property of multiplication)
25 + 1 = 25
26 = 25
Not true
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PLEASE HELP!!!!!!!!!!!!!!!!!!
Answer:
[tex]\sin\left(x+\frac{\pi}{7} \right)[/tex]
Step-by-step explanation:
[tex]\sin\left(x+\frac{\pi}{7} \right)=\sin \frac{\pi}{7}\cos x +\cos \frac{\pi}{7} \sin x[/tex]
An ellipse has a center at the origin, a vertex along the major axis at (10, 0), and a focus at (8, 0).
Which equation represents this ellipse?
Answer:
In standard form x^2/64 + y^2/100 = 1
Step-by-step explanation:
The major axis is the y axis because 10 has a larger value than 8.
8x8 = 64
10 x10 = 100
Oscar corporation is planning to construct an elliptical gate at its headquarters. the width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. the company wants to place two bright spots at the foci of the ellipse. how far from the center of the ellipse will the spots be located?
The distance from the center of the ellipse to where the spots are located will be 2 feet.
What is Distance?
Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.The distance from the center of the ellipse to where the spots are located will be -
= 5 - 3
= 2 feet.
Therefore, the distance from the center of the ellipse is 2 feet.
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Help me, 50 pts, I'll give brainliest, *take your time answering if you need *
1. how many groups of 5/7 are in 1
2. 8 divided by 5/7
3. The tape diagram shows that Ehecatl's hair, which is now 12cm long is 60% as long as it was before his haircut.
Complete the table to show different percentages of Ehecatl's hair length before the haircut. (table is the file)
There are 1.40 groups of 5/7 in 1.
8 divided by 5/7 is 11 1/5.
Here is the completed table:
Length (cm) Percentage
12 60% of Ehecatl's old hair
4 20% of Ehecatl's old hair
20 100% of Ehecatl's old hair
How do we carry out division?Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
In order to determine how many groups of 5/7 are in 1, divide 1 by 5/7
1 ÷ 5/7
1 x 7/5 = 7/5 = 1.40
8 ÷ 5/7
8 x 7/5
= 56 / 5
= 11 1/5
What are the lengths of Ehecatl's hair ?
The first step is to determine the length of her hair before she cut it
Length of the hair before it was cut = new length / 60%
12 / 0.6 = 20
60% x 20 = 12cm
20% x 20 = 4cm
100% x 20 = 20cm
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Pick the correct answer
Help me please thanks so much
Answer:
E
Step-by-step explanation:
line I slopes downwards from left to right and has a negative slope.
line K is a horizontal line and has a slope of zero
line J slopes upwards from left to right and has a positive slope
slopes from least to greatest are therefore I, K, J
Find the solution for the system of linear equations by substitution: 2x - y = 3 y − x = 1
The solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
2x- y = 3
y - x = 1
Make y the subject in the second equation, by adding x to both sides of the equation
y - x + x = x + 1
This gives
y = x + 1
Substitute y = x + 1 in 2x- y = 3
2x- x - 1 = 3
Evaluate the like terms
x = 4
Substitute x = 4 in y = x + 1
y = 4 + 1
Evaluate
y = 5
Hence, the solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5
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In mr. wilson's geometry class, 12 of the students received a's and 20 received b's. in his statistics class, 11 of the students got a's and 15 got b's. in which class did mr. wilson's students earn a higher ratio of a's to b's? a. statistics b. neither, the ratios are equivalent c. geometry d. not enough information
In (A) statistics class Wilson's students earn a higher ratio of a's to b's.
What are ratios?A ratio in mathematics describes how many times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.To find the higher ratio:
Given -
Geometry class = a:b = 12:20 = 3:5Statistics class = a:b = 11:15As we can observe that 3:5 < 11:15.
Therefore, in (A) statistics class Wilson's students earn a higher ratio of a's to b's.
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Find the value of Theta in these diagrams (a and b)
a. θ = 36. 9°
b. θ = 114. 2°
How to determine the value of theta
a. We use the cosine identity
cos θ = adjacent/hypotenuse
Adjacent = 4cm
Hypotenuse = 5cm
cos θ = 4/ 5
cos θ = 0. 8
Now, we have the inverse of the cosine value
θ = cos^-1 (0. 8)
θ = 36. 9°
b. We use the tangent identity
tan a = opposite / adjacent
tan a = 3. 8/1. 7
tan a = 2. 23
a = tan^-1 ( 2. 23)
a = 65. 8
We have;
a + θ = 180 °; angles on a straight line
θ = 180 - 65. 9
θ = 114. 2°
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The area of a circle is 9pi cm². Find its radius.
Please do this question with full solution:)
Answer:
3 cm
Step-by-step explanation:
The formula for the area of a circle is:
[tex]A = \pi r^2[/tex]
Where "r" represents the radius of the circle. We can substitute the given value for Area into the equation to solve for the radius.
Solve for Radius[tex]A=\pi r^2\\9\pi = \pi r^2[/tex]
Divide both sides by π
[tex]9=r^2[/tex]
Take the square root of both sides
[tex]\sqrt9=\sqrt {r^2}\\r=3[/tex]
The radius of the circle is 3 cm.
A square of sides 6cm has been removed from regular pentagon of sides 12cm. Calculate the perimeter of the shape
The perimeter of the shape is 52 cm
How to determine the perimeter of the shape?The shape is given as:
Regular pentagon
The length of the sides are
Length = 12 cm
So, the perimeter of the regular pentagon is
P = 5* Length
This gives
P = 5 * 12cm
Evaluate
P = 60 cm
When the square of sides 6cm is removed from the regular pentagon, the perimeter becomes
P = 60cm - 6cm
Evaluate the difference
P =52 cm
Hence, the perimeter of the shape is 52 cm
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John, Jim and Joe each went for a medical examination. Their combined height was 5.25 m. If John was 12 cm shorter than Jim and Jim was 0.09 m taller than Joe, how tall, in metres, was Joe?
The 5.25 m combined height of John, Jim, and Joe, the 12 cm height difference between John and Jim and the 0.09 m difference in height between Jim and Joe, indicates that solution to the word problem is Joe was 1.73 meters tall
What is a word problem?A word problem is a presentation of a math problem using verbal description rather than numbers, variables and operators.
The combined height of John, Jim and Joe = 5.25 m
John's height = Jim's height - 12 cm = Jim's height - 0.12
Jim's height = Joe's height + 0.09 m
Let h represent Joe's height, we get;
Jim's height = h + 0.09
John's height = h + 0.09 - 0.12 = h - 0.03
John's height = h - 0.03
The sum of the heights is therefore; h + h + 0.09 + h - 0.03 = 3·h + 0.06
The sum of their heights = Their combined height = 5.25 meters
Therefore; 3·h + 0.06 = 5.25
h = (5.25 - 0.06)/3 = 1.73
Joe's height, h = 1.73 meters
Jim's height = 1.73 + 0.09 = 1.82
Jim's height = 1.82 meters
John's height = 1.73 - 0.03 = 1.7
John's height is 1.7 meters
Joe was 1,73 meters tall
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HELPPPP!!!!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each given function with the description of its graph.
Answer:
y = 2(1/2)^x --> Second choice
y = (1/4)^x --> First choice
y = 3^x --> Third choice
Step-by-step explanation:
Take a look at the images uploaded for the reasons why.
y = 2(1/2)ˣ is y intercept (0,2) second choice, y = (1/4)ˣ is y intercept (0,1) first choice, y = 3ˣ is y intercept (0,1), fourth choice.
Let's break down each of the given exponential functions and understand their y-intercepts:
y = 2(1/2)ˣ :
When x = 0, the value of (1/2)ˣ is 1, since any number raised to the power of 0 is 1. Therefore, y = 2 * 1 = 2 when x = 0. This gives us the y-intercept (0, 2).
y = (1/4)ˣ :
Similarly, when x = 0, the value of (1/4)ˣ is 1, since any number raised to the power of 0 is 1. Therefore, y = 1 when x = 0. This gives us the y-intercept (0, 1).
y = 3ˣ :
Again, when x = 0, the value of 3ˣ is 1. Therefore, y = 1 when x = 0. This gives us the y-intercept (0, 1).
The y-intercept is the point where the graph of the function intersects the y-axis, which occurs when x is zero. In all three cases, when x = 0, the exponent becomes zero, resulting in the base being raised to the power of zero, which is always equal to 1. The graph is given below.
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A kite has vertices at (2, 4), (5, 4), (5, 1), and (0, –1).
What is the approximate perimeter of the kite? Round to the nearest tenth.
11.3 units
13.6 units
16.8 units
20.0 units
Answer:
16.8
Step-by-step explanation:
here is that kite on a graph. you can see there are 2 sides of length 5, and 2 sides of length 3, so closest perimeter is 16.8
Write (9 + 6i) − (1 + 3i) as a complex number in standard form.
A.
10 + 9i
B.
8 − 3i
C.
8 + 3i
D.
7 − 12i
The sum of the complex number in standard form is 8 + 3i
Complex numbersComplex numbers are square roots of negative numbers. The square root of -1 for example is equal to "i" as shown;
√-1 = i
The complex number is written as x + iy. Given the expression
(9 + 6i) − (1 + 3i)
Expand to have:
9 + 6i − 1 - 3i
Collect the like terms
9-1 + 6i - 3i
Group into real and imaginary parts
(9-1) + (6i-3i)
8 + 3i
Hence the sum of the complex number in standard form is 8 + 3i
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Use the ratio test to determine whether the series is convergent or divergent. 2 4/2^2 8/3^2 16/4^2 ......
I assume the given series is
[tex]\displaystyle 2 + \frac4{2^2} + \frac8{3^2} + \frac{16}{4^2} + \cdots = \frac{2^1}{1^2} + \frac{2^2}{2^2} + \frac{2^3}{3^2} + \frac{2^4}{4^2} + \cdots = \sum_{n=1}^\infty \frac{2^n}{n^2}[/tex]
By the ratio test, the series diverges, since
[tex]\displaystyle \lim_{n\to\infty} \left|\frac{2^{n+1}}{(n+1)^2} \cdot \frac{n^2}{2^n}\right| = 2 \lim_{n\to\infty} \frac{n^2}{(n+1)^2} = 2 > 1[/tex]
Tim, paco, maria, and jenny are standing in line for lunch. jenny is standing between paco and maria, and paco’s position in line is an odd number. tim is not standing on either end of the line, and he is in front of jenny. which friend is standing third in line?
Answer:
the order is Paco, Tim, Jenny, Maria
Step-by-step explanation:
Answer:
b.
Paco, Tim, Jenny, Maria
Step-by-step explanation:
s in
Squaring both sides of the equation
√√x+1=√x+6-1 and simplifying, the equation
becomes 3 = √√x+6.
The solution of the equation is
The value of x in given linear equation is x = 3.
According to the statement
we have given that the equation and we have to find the solution of that equation.
So, For this purpose,
The given equation is :
[tex]\sqrt{ x+1} = \sqrt{ x+6} -1[/tex]
From this equation it is clear that the it is a linear equation.
So, for find the value of x
To solve this equation squaring on both sides then equation become
x+1 = x+6 +1 -2√x+6.
Then
-2√x+6 = -6
then
[tex]\sqrt{x + 6} = 3[/tex]
Now remove the square by S.B.S.
Then the equation become
x +6 = 9
x = 3.
In this equation the value of x is 3.
So, The value of x in given linear equation is x = 3.
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What is the slope of the line that passes through the points (1, 1) and (4, 4)?
Write your answer in simplest form.
Answer:
The answer is 1
Step-by-step explanation:
Formula for finding the slope: [tex]\frac{y2-y1}{x2-x1}[/tex]
Take y2 and y1 from (4,4) (1,1)
Take x2 and x1 from (4,4) (1,1)
[tex]\frac{y2-y1}{x2-x1} = \frac{4-1}{4-1} = \frac{3}{3} = 1[/tex]
This is how the answer is 1
Hope it helps :)