Answer:
(4 , -3)
Step-by-step explanation:
the points (3 , 5) and (3 , 7) have the same x-coordinates 3
then ,the line D joining them has the equation
D : x = 3
the image of the point A(2 , -3) under reflecting about The line D ,
lie on the line ∆ perpendicular to D and passes through A.
∆ perpendicular to D then the equation of ∆ is :
∆ : y = a ,where a is a real number.
Calculating ‘a’ :
∆ passes through A
Then
-3 = a
Therefore
the final equation of ∆ is :
∆ : y = -3
Obviously, the lines D and ∆ intersect at the point M(3 , -3)
FINAL STEP :
Calculating the coordinates of the point B(x , y) image of the point A(2 , -3)
M is the midpoint of the line segment AB :
Then
3 = (2 + x)/2 and -3 = (-3 + y)/2
Then
x = 4 and y = -3.
Solve this question with full working and explanation and I will mark you as brainliest.
Answer:
The hand moved [tex]\bf \frac{3}{4}[/tex] of a complete turn.
Step-by-step explanation:
The hand moved from 3 to 12, that is, it moved:
12 - 3 = 9 hours
In a clock, 12 hours represent a complete turn.
∴ Using the unitary method:
12 hours ⇒ 1 turn
1 hour ⇒ [tex]\frac{1}{12}[/tex] turns
9 hours ⇒ [tex]\frac{1}{12}[/tex] × 9 = [tex]\frac{9}{12}[/tex]
= [tex]\bf \frac{3}{4}[/tex] turns (simplified)
∴ The hand moved [tex]\bf \frac{3}{4}[/tex] of a complete turn.
The answer is [tex]\boxed{\frac{3}{4}}[/tex].
To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.
Hours covered between 3 and 12 : 12 - 3 = 9Hours covered in a complete turn = 12Fraction of a complete turn it moved : 9/12 = 3/4What is the location of point g, which partitions the directed line segment from d to f into a 5:4 ratio? a number line goes from negative 5 to positive 10. point d is at negative 2 and point f is at positive 7. a line is drawn from point d to point f.
the location of the g point is 3.
What is Proportion?Two ratios are set to be equal in an equation called a proportion. You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls.
According to the given Information:Point G Partition the directed line segment form d to f into a
5:4 ratio
so,
g - d = (5/9) x (f - d)
We have that d = -2 and f = 7, Therefore
g - d = (5/9) x (f - d)
g + 2 = (5/9) x (7 + 2)
g + 2 = 5
g = 3
Therefore the location of the g point is 3.
To know more about Proportion visit:
https://brainly.com/question/27733852
#SPJ4
Answer: OPTION D
Step-by-step explanation:
MULTIPLY (x^2-5x)(2x^2+x-3)
[tex]\bf{ (x^2-5x)(2x^2+x-3)}[/tex]
[tex]\bf{Distribute \ the \ sum \ group. }[/tex]
[tex]\boldsymbol{\sf{x^{2} (2x^{2} +x-3)-5x(2x^{2} +x-3) }}[/tex][tex]\bf{Expand \ the \ distribution \ of \ terms. }[/tex]
[tex]\boldsymbol{\sf{2x^{4}+x^{3}-3x^{2} -5x(2x^{2} +x-3) }}[/tex][tex]\boldsymbol{\sf{2x^{4}+x^{3}-3x^{2} -(10x^{3}+5x^{2} -15x) }}[/tex][tex]\bf{Remove \ parentheses. }[/tex]
[tex]\boldsymbol{\sf{2x^{4}+x^{3}-3x^{2} -10x^{3}+5x^{2} -15x }}[/tex][tex]\bf{Collect \ like \ terms. }[/tex]
[tex]\boldsymbol{\sf{2x^{4}+(x^{3}-10x^{3})+(-3x^{2} -5x^{2} )+15x }}[/tex][tex]\bf{Simplify}[/tex]
[tex]\boxed{\boldsymbol{\sf{2x^{4}-9x^{3}-8x^{2} +15x }}}[/tex]Help, please 20 points!
Answer:
The second choice is correct.
Step-by-step explanation:
As we go right on the number line, we are getting to larger and larger values.
D is greater than C because it is to the right of C, so the first choice is not correct.
The third choice is showing absolute value. This is saying that the letters C and D are both the same distance from zero. They are not.
The last choice says that A is to the right of B and it is not.
The second choice that is B≥ C is correct.
The basics of this question requires us to read the number line perfectly
As we go right on the number line, we are getting to larger and larger values.
D is greater than C because it is to the right of C, so the first choice is not correct.
The third choice is showing absolute value. This is saying that the letters C and D are both the same distance from zero. They are not.
The last choice says that A is to the right of B and it is not.
Thus option 2) is correct
Learn more about Number line here :
https://brainly.com/question/13189025
#SPJ1
Given the function w(x) = 9x + 8, evaluate w(5). Explain all steps.
The value of the function w(5) is 53
How to evaluate the function?The function is given as:
w(x) = 9x + 8
The expression w(5) implies that the value of x is 5
i.e. x = 5
Substitute the known values in the above equation
w(5) = 9 * 5 + 8
Evaluate the product
w(5) = 45 + 8
Evaluate the sum
w(5) = 53
Hence, the value of the function w(5) is 53
Read more about functions at:
https://brainly.com/question/2328150
#SPJ1
help me with this, correct answer get brainliest
Answer:
B
Step-by-step explanation:
If the function f(x)= 3ax+b, x>1 11. 5ax-2b, x = 1 is continuous at x = 1, then find the values of a and b x
It looks like the function might be defined by
[tex]f(x) = \begin{cases} 3a{}x + b & \text{if } x > 1 \\ 11 & \text{if } x = 1 \\ 5a{}x - 2b & \text{if } x < 1 \end{cases}[/tex]
To ensure continuity at [tex]x=1[/tex], we need both one-sided limits to exist and have the same value.
[tex]\displaystyle \lim_{x\to1^-} f(x) = \lim_{x\to1} (5a{}x - 2b) = 5a - 2b[/tex]
[tex]\displaystyle \lim_{x\to1^+} f(x) = \lim_{x\to1} (3a{}x + b) = 3a + b[/tex]
Both limit values must be equal to [tex]f(1) = 11[/tex], so that
[tex]\begin{cases} 5a - 2b = 11 \\ 3a + b = 11 \end{cases}[/tex]
Eliminating [tex]b[/tex], we have
[tex](5a - 2b) + 2 (3a + b) = 11 + 2\cdot11 \implies 11a = 33 \implies \boxed{a=3}[/tex]
Solving for [tex]b[/tex], we get
[tex]5\cdot3 - 2b = 11 \implies -2b = -4 \implies \boxed{b=2}[/tex]
Mike repairs televisions. his revenue, in dollars, can be modeled by the equation y = 25 30x, where x is the number of hours spent repairing televisions. his overhead cost, in dollars, can be modeled by the equation y=5x2−10, where x is the number of hours spent repairing televisions. after how many hours does he break even?
The number of hours spent repairing televisions. after how many hours does he break even is 7 hours
System of equationsThese are equations that contains several equations with unknowns. Given the function that modelled the revenue generated from television repair as;
y = 25 + 30x
where:
x is the number of hours spent repairing televisions.
If his overhead cost, in dollars, is modelled by the equation y=5x^2−10, the company breaks even when;
25 + 30x = 5x^2 -10
Divide through by 5
5 + 6x = x^2 - 2
Equate to zero to have:
x^2 - 6x -2 - 5 = 0
x^2 - 6x - 7 = 0
x^2 - 7x + x - 7 = 0
x(x-7)+1(x-7) =0
x = -1 and 7
Hence the number of hours spent repairing televisions. after how many hours does he break even is 7 hours
Learn more on break even point here: https://brainly.com/question/21137380
#SPJ1
if the perimeter of an equilateral triangle is 24cm, find the length of it's side
Answer:
it's side length equals to 8.
Step-by-step explanation:
Hello!An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle.
Perimeter: 3 x side of equilateral triangle
[tex]24 = 3 \times each \: sides[/tex]
divide both sides by 3
[tex]one \: of \: its \: side = 8[/tex]
Thus, as all the three sides equals to 8.
Hope it helps!
Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation one-halfx2 4x 8 = 0. which explanation could anderson provide?
Anderson could provide 0.5x2 + 4x + 8 = 0 has exactly one real root if the discriminant is 0,
What is quadratic equation?Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.
What is discriminant?A polynomial's discriminant is a quantity that depends on the coefficients and enables for some root attributes to be inferred without actually computing them. It is actually a polynomial function of the original polynomial's coefficients.
According to the given information:0.5x^2 + 4x + 8 = 0
The discriminant is computed utilizing:
d = b^2 - 4ac
Thus, we have:
d = 4^2 - 4 * 0.5 * 8
Evaluate
d = 0
The equation has only one real root since the discriminant is 0,
To know more about discriminant visit:
https://brainly.com/question/16369636
#SPJ4
PLEASE HELP ITS MATH
Answer:
y=[-4]x+[10]
Step-by-step explanation:
For a line to be perpendicular to another it must have the reverse reciprocal of the opposite line, to find the reverse reciprocal you take your slope, flip the numerator and denominator, and multiply it by -1.
The slope [tex]\frac{1}{4}[/tex] turns into [tex]\frac{4}{1}[/tex] and is then multiplied by -1 to become [tex]\frac{-4}{1}[/tex] which can be simplified down to: [tex]-4[/tex]
Now that we know the slope we need the line to pass through a point, so we will use point slope form:
[tex]y-y1=m(x-x1)[/tex]
Substitute in our slope and point values:
[tex]y-2=-4(x-2)[/tex]
Now solve for y:
[tex]y-2=-4(x-2)\\y-2=-4x+8\\y=-4x+10[/tex]
Then you will find that line [tex]y=-4x+10[/tex] runs perpendicular to [tex]y=\frac{1}{4}x-8[/tex] and intersects point (2,2).
Identify the elevation and the percentage of oxygen available at each elevation. 8,850 m 57% 33% 4,500 m 100%
1. Sea level (0 m) - 100%
2. Mid-level elevation (4,500 m) - 57%
3. Peak (8,850 m) - 33%
What does oxygen mean?Oxygen is a colorless, odorless, and tasteless gas necessary for all living things. Animals take it up and then change it into carbon dioxide, which plants then use as a carbon source to release oxygen back into the atmosphere.The energy-producing process that powers the metabolisms of most living organisms, respiration, depends heavily on oxygen. All living things, including humans, depend on oxygen in the air we breathe to survive. The process of photosynthesis is where plants and certain bacteria produce oxygen.Identify the elevation and the percentage of oxygen available at each elevation.
Elevation has a significant impact on the amount of oxygen in the atmosphere. The oxygen level increases with decreasing height and decreases with increasing elevation. Thus, we have a situation where the oxygen concentration is highest at sea level or 0 elevations. The oxygen level drops dramatically when we ascend to greater elevations, say 4,500 m, making breathing difficult. Even at higher altitudes, such as 8,850 m, the oxygen level will drop significantly, making it necessary for a person to undergo extensive training and carry oxygen to survive.
1. Sea level (0 m) - 100%
2. Mid-level elevation (4,500 m) - 57%
3. Peak (8,850 m) - 33%
To learn more about the percentage of oxygen, refer to:
https://brainly.com/question/27516407
#SPJ4
What is the equation of a line in point-slope form passing through (-4,6) and (2, 3)?
The answer is y - 3 = -1/2 (x - 2).
First, let's find the slope.
m = y₂ - y₁ / x₂ - x₁m = 3 - 6 / 2 + 4m = -3/6m = -1/2Then, the point slope form will be :
y - 3 = -1/2 (x - 2)Answer: y=-0,5x+4.
Step-by-step explanation:
[tex]A(-4;6)\ \ \ \ B(2;3)\\Straight \ line\ equation\ is:\\\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1}} \\\frac{x-(-4)}{2-(-4)}=\frac{y-6}{3-6} \\ \frac{x+4}{2+4}=\frac{y-6}{-3} \\\frac{x+4}{6}=\frac{y-6}{-3} \\ Multiply\ the\ left\ and\ right\ sides\ of\ the\ equation \ by\ -3:\\\frac{-(x+4)}{2} =y-6\\-0,5x-2=y-6\\y=-0,5x+4.[/tex]
. An ant is standing at the center of a perfectly circular plate. If the ant crawled in a straight line, he would have to crawl 6 inches to reach the edge of the plate. How many inches would he crawl if he crawled a full circle around the edge of the plate?
The size around the circular edge of the plate is 37.68 inches
How to find the circumference of a circle?The circumference of a circle can be solved as follows:
The ant is standing at the centre of a perfectly circular plate and it walks to the edge of the plate .
The centre of the plate to the edges is 6 inches. Therefore, the radius of the circular plate is 6 inches.
Hence, the distance around the edge of the plate is the circumference of the plate.
Therefore,
circumference of the circular plate = 2πr
circumference of the circular plate = 2 × π × 6
circumference of the circular plate = 12π
circumference of the circular plate = 12 × 3.14
circumference of the circular plate = 37.68 inches
learn more on circle here: https://brainly.com/question/9330354
#SPJ1
A 3 tonne mix of gravel contains blue
metal and gravel in the ratio 2:3.
How much gravel is in the mix?
Answer:
1.8 tonne
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 = 5 parts
divide the total mix by 5 to find the value of one part of the mix
3 tonne ÷ 5 = 0.6 tonne , then
3 parts = 3 × 0.6 = 1.8 tonne ← amount of gravel in the mix
Elliott is standing at the top of a store escalator that leads to the ground floor below. the angle of depression from the top of the escalator to the floor is 36.84°, and the escalator is 15 feet long. how far is the top of the escalator from the ground floor? round your answer to the nearest foot. 9 feet 12 feet 20 feet 36 feet
The top of the escalator exists 9 feet far from the ground floor.
How to estimate how far is the top of the escalator from the ground floor?
Let h denote the distance between the top of the escalator from the ground floor.
We have existed given that the angle of depression from the top of the escalator to the floor stands 36.84°, and the escalator exists 15 feet long.
The side h exists opposite side and 15 feet side exists hypotenuse of a right triangle.
[tex]$&\sin =\frac{\text { Opposite }}{\text { Hypotenuse }} \\[/tex]
[tex]$&\sin \left(36.84^{\circ}\right)=\frac{h}{15} \\[/tex]
[tex]$&\sin \left(36.84^{\circ}\right) * 15=\frac{h}{15} * 15 \\[/tex]
[tex]$&0.599582468446 * 15=h \\[/tex]
8.993737 = h
[tex]$&h \approx 9[/tex]
Therefore, the top of the escalator exists 9 feet far from the ground floor.
To learn more about the sides of a triangle refer to:
https://brainly.com/question/22562250
#SPJ4
Which of these tables represents a function?
Answer:
A. W
Step-by-step explanation:
Because their is a rhythm and pattern
Graph h(x)=−|x+2|+4.
The graph is in the attached image.
the price of a video game was reduced from 60 to 45. by what percentage was the price of the video game reduced
The percentage reduction of the price of the video game from 60 to 45 was 25%.
What is the percentage reduction?The percentage reduction refers to the fractional reduction in the price of the video game.
This implies that a percentage is a fraction of a value. Percentages are calculated over 100.
A percentage is, therefore, a number or ratio expressed as a fraction of 100, often denoted using the "%" sign.
Data and Calculations:The old price of the video game = 60
The new price of the video game = 45
Reduction in price = 15 (60 - 45)
Percentage reduction = 25% (15/60 x 100)
Thus, the percentage reduction of the price of the video game from 60 to 45 was 25%.
Learn more about percentages at https://brainly.com/question/24877689
#SPJ1
Among the 2302 respondents, 627 said that they only play hockey. what percentage of respondents said that they only play hockey?
The percentage of respondents who play only hockey is 27.24%.
According to the given question.
Total number of respondents = 2302
And, the number of reposdents who play only hockey = 627
Therefore,
The percentage of respondents said that they play only hockey
= (number of respondents who play only hockey/ total number of respondents) × 100
[tex]= \frac{627}{2302} \times 100[/tex]
= 27.237 %
≈ 27.24%
Hence, the percentage of respondents who play only hockey is 27.24%.
Find out more information about percentage here:
https://brainly.com/question/8191920
#SPJ4
Word Problem On Division
1. a cup can hold 2/9 ( fraction) litres of water. how many cups of water can be filled with 3 litre bottle?
Find all real numbers x such that x^2 < 4. Give your answer in interval notation.
Inequalities help us to compare two unequal expressions. For all real numbers x such that x²<4, the interval which will satisfy the given inequality is (-2,2).
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the inequality x²<4, whose solution can be calculated as shown below.
x² < 4
x² - 4 < 0
x² - 2² < 0
(x+2)(x-2)<0
x = (-2, 2)
Hence, for all real numbers x such that x²<4, the interval which will satisfy the given inequality is (-2,2).
Learn more about Inequality here:
https://brainly.com/question/19491153
#SPJ1
3. Ying Yu turned 22 this year. In 8 years, she will be three times as old as her little brother will be then. How old is her little brother now? Answer
Answer:
He is 2 years old.
Step-by-step explanation:
She is 22, in 8 years she will be 30. 30 is 3×10. At that time, her brother will be 10; that is 8 years from now. So now, the little brother is 10-8 = 2 years old.
If you must show algebra work:
x = brother's age now.
x+8=brother's age in 8 years.
YingYu's age in 8 years = 3 × brother's age in 8 years
22+8 = 3(x+8)
30 = 3x +24
6 = 3x
2 = x
The idea that group work theories are appropriate for all clients all the time is a(n)? empirical truth professional tenet myth lie
The idea that group work theories are appropriate for all clients all the time is a myth (Third option).
About Group Process:
The term "group process" describes how people collaborate within an organization to complete tasks. Typically, organizations invest a lot of time and effort into defining and achieving goals, but little thought is usually given to how those goals are affecting the most valuable resource of a group - its people.
Since different clients have different demands and priorities, group work might not be suitable for many, but not for all. Different types of clients require different types of collaboration, type of group or individuals, and working strategies that work for their goals the best.
Learn more about group here:
https://brainly.com/question/6174918
#SPJ4
I do not understand the question
Answer: D. 5 choose 3
Step-by-step explanation:
The 'C' stands for Choose
and you read left to right, leaving you with "5 choose 3"
la+xl/2 - la-xl/2, if a= -2, x= -6
HELP!!!
Answer: 2
Step-by-step explanation:
1) substitute
2) calculate the difference before the absolute value
3) calculate the absolute value
4) convert into whole numbers/reduce
5) subtract the whole numbers
this is what i think might be wrong
distance between −42 and −78
Answer:
36 units
Step-by-step explanation:
to find the distance take the absolute value of the difference, that is
| - 42 - (- 78) | = | - 42 + 78 | = | 36 | = 36
or
| - 78 - (- 42) | = | - 78 + 42 | = | - 36 | = 36
Answer:
-36
Step-by-step explanation:
-78 - (-42)
= -78 + 42
= -36
If a true-false test with 10 questions is given what is the probability of scoring?
Answer:50%
Step-by-step explanation: It doesn't matter how many questions there are because for each question, you have a 50% chance of getting it right. So, the probability is 50%.
A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.
4x + 5y = 30.50
11x + 14y = 84.50
The variable x represents the
✔ cost per pound of meat
.
The variable y represents the
cost per pound of cheese
.
The deli charges $
.
The quantity of meat and cheese sold by the deli according to the description accounts in the task content are; 4.5 and 2.5 pounds respectively.
What is the quantity of meat and cheese sold by the deli?The quantity of meat sold by the deli as represented by the variable X in the task content can be calculated by solving the systems of equations.
The quantity of cheese sold by the deli as represented by the variable y in the task content can be calculated by solving the systems of equations.
Consequently, solving the system of equations by means of substitution, we have;
y = (30.50-4x)/5
Hence, we have;
11x + 14((30.50-4x)/5) = 84.50
x = 4.5 pounds of meat and
y = 2.5 pounds of cheese.
Read more on system of equations;
https://brainly.com/question/13729904
#SPJ1
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 64 meters cubed.
A sphere with height h and radius r. A cylinder with height h and radius r.
What is the volume of the sphere?