Answer:
y = 2x + 7
Step-by-step explanation:
When a line is parallel to another line, then the slopes of the lines are equal. If line A has an equation y = 3x + 5, then line B, parallel to line A, must also have a slope of 3. Therefore, we know that m (slope) is 2 in this case.
Next, let’s substitute the x and y coordinates and the slope value into y - y1 = m(x - x1). In this case, -4 is x1, and -1 is y1.
y - y1 = m(x - x1)
y + 1 = 2(x + 4)
Finally, simplify the equation and transform it into the slope intercept form, y = mx + b.
y + 1 = 2(x + 4)
y + 1 = 2x + 8
y = 2x + 7
14. Suppose the diameter of circle B were 18 inches instead of 8 inches. What is the
total cost of the glass for your window now?
The total cost of the glass for your window now $174.8
How to determine the total cost of the glass for your window now?The complete question is added as an attachment
From the attached figure, we have the following parameters:
Square of side length 24 inchesCircle B of diameter 20 inchesCircle A of diameter 18 inchesThe area of region 1 is calculated using:
Region 1 = Area of square - Area of circle B
This is calculated as
Region 1 = L^2 - π(d/2)^2
So, we have:
Region 1 = 24^2 - 3.14 * (20/2)^2
Evaluate the quotient
Region 1 = 24^2 - 3.14 * 10^2
Evaluate the exponent
Region 1 = 576 - 3.14 * 100
Evaluate the product
Region 1 = 576 - 314
Evaluate the difference
Region 1 = 262
The cost per square inch of this region is $0.10.
So, we have:
Total cost of region 1 = 262 * $0.10
Total cost of region 1 = $26.10
The area of region 2 is calculated using:
Region 2 = Area of circle B - Area of circle A
This is calculated as
Region 2 = π(D/2)^2 - π(d/2)^2
So, we have:
Region 2 = 3.14 * (20/2)^2 - 3.14 * (18/2)^2
Evaluate the quotient
Region 2 = 3.14 * 10^2 - 3.14 * 9^2
Evaluate the exponent
Region 2 = 3.14 * 100 - 3.14 * 81
Evaluate the product
Region 2 = 314 - 254.34
Evaluate the difference
Region 2 = $59.66
The cost per square inch of this region is $0.15.
So, we have:
Total cost of region 2 = 59.66 * $0.15
Total cost of region 2 = $8.949
The circle B is divided into sectors.
And the angles of the sectors are 90 and 270 degrees
The area of each sector is
Area = ∅/360 * π(d/2)^2
So, we have:
Circle B = ∅/360 * π(d/2)^2 + ⊕/360 * π(d/2)^2
So, we have:
Circle B = 90/360 * 3.14 * (18/2)^2 + 270/360 * 3.14 * (18/2)^2
Evaluate the quotient
Circle B = 0.25 * 3.14 * 9^2 + 0.75 * 3.14 * 9^2
Evaluate the exponent
Circle B = 0.25 * 3.14 * 81 + 0.75 * 3.14 * 81
Evaluate the product
Circle B = 63.585 + 190.755
The cost per square inch of this region is $0.80 for 1 sector and $0.20 for the rest
So, we have:
Total cost of circle B = 63.585 * 0.80 + 190.755 * 0.20
Total cost of circle B = 89.019
Add the total costs
Total cost of the glass for your window = Region 1 + Region 2 + Circle B
Total cost of the glass for your window = $26.10 + $59.66 + $89.019
Evaluate the sum
Total cost of the glass for your window = $174.779
Approximate
Total cost of the glass for your window = $174.8
Hence, the total cost of the glass for your window now $174.8
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X=
Help me please asap! Thanks so much :)
an irrational number is one that simply can not be worked into any equation.
true or false
Answer:
it can be use in equation
An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic.
Coordinates of G=(,),() and H=(,)(,)
Help Me please! Thankss
The coordinates of the missing points G. and H are G(a, y) and H(a,0) respectively
What is a right angles triangle?A right angled triangle is a triangle that has 3 sides and angle with one of its angles to be 90 degrees.
From the given triangle, the measure of the x-coordinate point of G and H will be equal.
Since the line GH intersects the x-axis and the point where the line intersects the x-axis is where y = 0, hence the coordinate H is (a, 0) and the measure of G is (a, +y)
The y-value of G can be any positive value on the y-axis
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50 points to whoever can answer!
Answer:
10724.29
Step-by-step explanation:
mean means average
so to find an average you add everything together then divide it by the amount of variables
m = (10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477)/7
m = 75070/7
m = 10724.2857143
m = 10724.29
2. Five times a number is equal to the same number increased by 8.
Answer:
the number is 2
Step-by-step explanation:
5x = x + 8
5x - x = 8
4x = 8
x = 8/4
x = 2
M angle JKL=
Help me please thank u so much
Answer:
22°
Step-by-step explanation:
Since IJ is a diameter, arc LJ measures 68 degrees.
Therefore, the measure of angle JKL is (112-68)/2=22°
in how many ways can 20 identical balls be distributed among 5 distinct bins?
Answer:
put four balls in each been
Step-by-step explanation:
Which answer choice has the set of numbers ordered correctly from least to greatest
Its 1.71, 1 3/4, pie, 16/9
Answer: 1.71, 1 3/4, 16/9, pie
Step-by-step explanation: We convert all the numbers to improper fractions. 1.71 = 171/100. 1 3/4 = 175/100 because 3/4 is 0.75. pi is 3.14... which is larger than all of the other numbers. So, pi is the largest. For 16/9, we can just divide to find the solution. Once you divide, you will notice that the answer is 1.77777777... This means that it is larger than 1.71 and 1.75 so 16/9 is the second largest. 1.71 is smaller than 1.75 so the order is 1.71, 1 3/4, pie, 16/9
What is the equation of the line through (1, 6) and (0, 2)?
Y=4x - 2
Y= -4x - 2
Y= -4x + 2
Y= -4x + 2
Answer: Y = 4x + 2
(It would be either the third or fourth choice since they are the same, one of them must be mistaken)
Step-by-step explanation:
Given information
(x₁, y₁) = (1, 6)
(x₂, y₂) = (0, 2)
Find the slope through the formula
[tex]Slope~=~\frac{y_2~-~y_1}{x_2~-~x_1}[/tex]
[tex]\Large Slope~=~\frac{2~-~6}{0~-~1}[/tex]
[tex]\Large Slope~=~\frac{-4}{-1}[/tex]
[tex]\Large Slope~=~4[/tex]
Substitute values into the linear form
Equation: y = mx + b
Point (0, 2)
y = mx + b
(2) = (4) (0) + b
2 = 0 + b
b = 2 - 0
b = 2
Therefore, the equation is [tex]\Large\boxed{y=4x+2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
y = 4x+2
Step-by-step explanation:
The first step is to find the slope
m = ( y2-y1)/(x2-x1)
m = ( 2-6)/(0-1)
= -4/-1
= 4
The slope intercept form of the equation is
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
The y intercept is where x is equal to 0
The y intercept is 2
y = 4x+2
What is the slop of the line?
34.
The drawing shows parallel lines L and m intersected by transversal t.
Which statement best describes angles 1 and 5?
A They are interior angles.
B They are vertical angles.
C They are complementary angles.
D They are corresponding angles.
Answer:
D
Step-by-step explanation:
1=5 ( being corresonding angle)
Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.
The direction of the parabola is determined by the leading coefficient of the polynomial (a > 0 - Upwards, a < 0 - Downwards). The y-intercept of the polynomial is c and the two zeros of the polynomial are x = - b / (2 · a) ± [1 / (2 · a)] · √(b² - 4 · a · c).
What are the characteristics of quadratic equations?
Herein we have a quadratic equation of the form f(x) = a · x² + b · x + c. To determine the direction of the parabola, we must transform this expression into its vertex form and looking for the sign of the vertex constant:
f(x) = a · x² + b · x + c
f(x) = a · [x² + (b / a) · x + (c / a)]
f(x) + b² / (4 · a) - c = a · [x² + (b / a) · x + b² / (4 · a²)]
f(x) + b² / (4 · a) - c = a · [x + b / (2 · a)]²
If a > 0, then the direction of the parabola is upwards, but if a < 0, then the direction of the parabola is downwards.
The y-intercept is found by evaluating the quadratic equation at x = 0:
f(0) = a · 0² + b · 0 + c
f(0) = c
And the zeros are determined by the quadratic formula:
x = - b / (2 · a) ± [1 / (2 · a)] · √(b² - 4 · a · c)
The direction of the parabola is determined by the leading coefficient of the polynomial (a > 0 - Upwards, a < 0 - Downwards). The y-intercept of the polynomial is c and the two zeros of the polynomial are x = - b / (2 · a) ± [1 / (2 · a)] · √(b² - 4 · a · c).
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Algebra 3, in the excercise size the graphs to determine the functions domain and range, x and y intercepts if any, and the functions values indicated below the graphs
Answer:
f(-4)= 3
f(3) = 4
Step-by-step explanation:
y= f(x)
which means y is a function of x
or, in simpler words what is the value of y w.r.t to x
On obseving the graph carefully, you'll see the for the x= -4 the value of y is 3
similarly, for x= 3 , y - coordinate is 4
x = 2, y = 7
x = 5, y = 2
x = 3, y = 5
x = 7, y = 3
Number
8.6134
5.5218
...to the nearest tenth ...to the nearest hundredth
..to the nearest thousandth
Concepts and Applicati
The following numbers are rounded up as follows:
8.6134
nearest tenth = 8.6nearest hundredth = 8.61nearest thousandth = 8.6135.5218
nearest tenth = 5.5nearest hundredth = 5.52nearest thousandth = 5.522How to round up?Rounding up a number means to round a number to the smallest integer that is not less than it, or to some other greater value.
Thousandth, hundredth and tenth are used after the decimal point.
nearest tenth means one number after the decimal pointnearest hundredth means two numbers after the decimal pointnearest thousandth means three numbers after the decimal point8.6134
nearest tenth = 8.6nearest hundredth = 8.61nearest thousandth = 8.6135.5218
nearest tenth = 5.5nearest hundredth = 5.52nearest thousandth = 5.522Learn more about round up at: https://brainly.com/question/10340128
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18
Which point is located at (-0.5.0.75)?
N
00
M
Opoint B
point G
point M
G
B
X
Answer:
Point Z
Step-by-step explanation:
Since the scale is one, first you go 0.5 to the left (-0.5 X) then you go 0.75 up (0.75 Y) then you have your answer.
A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm.which expression represents the volume of the pyramid?(5.2)h cm3(5.2)h cm3(5.2)h cm3(5.2)h cm3
volume of pyramid = 1/3(5.2)h cm3
What is a Prism?Prism is a three dimensional figure. A prism is a 3-dimensional shape with two identical shapes (bases) facing each other.
we know that,
The volume of the pyramid is equal to
volume = (1/3) × base area × height
we have height = h cm
area of base = 5.2 cm^2
substitute in the formula
v = 1/3 × 5.2 × h
volume = 1.73h cm^3
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Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
109x
Step-by-step explanation:
We know that there are 109 students in the fourth grade, who each have x cupcakes. In order to find the total amount of cupcakes, we could add all of the cupcakes together to get:
x + x + x + x + .... x
109 times because there are 109 students.
This can be simplified to become 109x.
i cant get this wrong or i fail
Answer: x < -2
Step-by-step explanation:
[tex]\frac{1}{2} x-7 < -8[/tex]
First add 7 to both sides
[tex]\frac{1}{2} x-7 +7 < -8+7[/tex]
[tex]\frac{1}{2} x < -1[/tex]
Now multiply by 2 to cancel out 1/2 and leave you with x
[tex]2*\frac{1}{2} x < -1(2)[/tex]
[tex]x < -2[/tex]
Rearrange the equation so w is the independent variable.
u-5=-4(w-1)u−5=−4(w−1)u, minus, 5, equals, minus, 4, left parenthesis, w, minus, 1, right parenthesis
u=u=
u = - 4w + 9 is the rearranged equation so that w is the independent variable given that the equation is u - 5= - 4(w - 1). This can be obtained by simplifying the equation and taking w to one side of the equation with other constants.
Find the rearranged equation:Simplifying an equation can be done by using the following steps:
Add/subtract the terms from the equation on both sides Multiply/divide the coefficients of the variable in order to isolate the variable Solve for the variable Substitute the variable in the original equation for finding other variables (if any)Here it is given that the equation is,
⇒ u - 5= - 4(w - 1)
We have to find an equation in which w is taken to one side of the equation with other constants.
First by adding both side of the equation with 5 we get,
⇒ u - 5 + 5 = - 4(w - 1) + 5
By opening the bracket we get,
⇒ u = - 4w + 4 + 5
Finally by adding the constants we get,
⇒ u = - 4w + 9
Hence u = - 4w + 9 is the rearranged equation so that w is the independent variable given that the equation is u - 5= - 4(w - 1).
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what is the component form of the vector that translates the top triangle to the bottom triangle
The component form of the vector that translates the top triangle to the bottom triangle is (3, -5). This is further explained below.
What is a vector?Generally, a number with both direction and magnitude, especially when used to map out where one point in space is in relation to another.
In conclusion, The vector that converts the top triangle to the bottom triangle has the following component form: (3, -5).
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Differentiation of x raised to the power of x
Answer:
[tex] {x}^{x} (1 + log(x)) [/tex]
I hope this helps you.
The volume of the fish tank needs to be tripled. What scale factor should be applied to the dimensions to produce a fish tank with three times the volume
Answer:
assuming it's a perfect world and that the fish lives in a 1 cubic meter fish tank 1*1.4422 will increase the volume my a factor of 3
Help me! mark brainliest 10 pts please!
Answer:
A) the fraction of the week that Jamaar spent in this garden.
Consider the sets below.
A {xlx is a polygon}
B {x|x is a triangle}
Which is true?
A = B
B =A
Ac= B
Bc = A
The following two points are on a line: (2,3), (-2,5). What is the slope of the line?
Answer:
D
Step-by-step explanation:
slope = rise / run
slope = (5 - 3) / (-2 - 2)
slope = 2 / -4
slope = -2 / 4
slope = -1/2
PLS HELP pq has endpoints at p(-5,4) and q(7,-5).what is the midpoint of pq? what are the cordinates of the point 2/3 of the way from p to q?
The midpoint of PQ is (1, -0.5)
The coordinates of the point 2/3 of the way from p to q are (-0.2, 0.4)
What is the midpoint of a line segment?
the midpoint is the middle point of a line segment. It is equidistant from both endpoints.
The midpoint of PQ
To calculate this, we use the midpoint formula;
(x,y) = {(x1 + x2)/2 , (y1 + y2)/2}
From the question; (x1,y1) = (-5,4) and (x2,y2) = (7,-5)
So (x,y) = (-5+7)/2 , (4-5)/2 = 2/2, -1/2 = (1,-0.5)
The coordinates of the midpoint of PQ are (1,-0.5)
What is the internal division of the line segment?
we will use here the internal division formula of the section formula;
Mathematically the coordinates can be calculated using the formula;
(x,y) = (mx2 + nx1)/m+ n , (my2 + ny1)/m + n
in this case, m = 2 and n = 3
(x1,y1) = (-5,4)
(x2,y2) = (7,-5)
So substituting these values, we have;
(x,y) = (2(7)+ 3(-5))/(2+3) , 2(-5) + 3(4)/(2+3)
(x,y) = (14 -15)/5 , (-10 + 12)/5
= (-1/5, 2/5) = (-0.2, 0.4)
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HELP!
(08.07 HC)
An expression is shown below:
f(x) = 4x² - 7x - 15
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the
coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers
obtained in Part A and Part B to draw the graph. (5 points)
(10 points)
Part A
[tex]4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3[/tex]
So, the x-intercepts are [tex]\boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}[/tex]
Part B
The vertex will be a minimum because the coefficient of [tex]x^2[/tex] is positive.
The x-coordinate of the vertex is [tex]x=-\frac{-7}{2(4)}=\frac{7}{8}[/tex]
Substituting this back into the function, we get [tex]f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}[/tex]
So, the coordinates of the vertex are [tex]\boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}[/tex]
Part C
Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.
The graph is shown in the attached image.
My brain stopped. I need help
Answer:
x = 99°
y = 91°
Step-by-step explanation:
For Cyclic quadrilateral, the sum of the opposite angles = 180°
Let's find x :-
x + 81° = 180°
x = 180 - 81
x = 99°
Let's find y :-
y + 89° = 180°
y = 180 - 89
y = 91°
Hope this helps you !