When reflected over the x-axis and then dilated by a scale factor of 2 the points become (0,8), (-4,8), (-2,14) and (2,14). We need to know about reflection about axes and dilation.
When a point is reflected about the x-axis the x-coordinate remains same but the sign of the y-coordinate changes.When a point is reflected about the y-axis the sign of the x-coordinate changes while the y-coordinate remains same.When a point is reflected about the origin the sign of both the x-coordinate and the y-coordinate changes. Dilating a figure means changing it's shape or size by a scaling factor, the points are multiplied by the corresponding scaling factor. In this question we have to reflect the points about x-axis and dilate by a scale factor of 2. When the points will be reflected about the x-axis the new points will be (0,4) , (-2,4) , (-1,7) and (1,7). Then we have to dilate by a factor of 2, the final points will be (0,8), (-4,8) ,(-2,14) and (2,14).
After reflecting over x-axis and then dilating by a scale factor of 2 the points (0,-4), (-2,-4), (-1,-7) and (1,-7) become (0,8), (-4,8), (-2,14) and (2,14).
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The table represents a proportional relationship between the number of hours it shows h, and the number of inches of snow, s on the ground. Find the constant of proportionality
The constant of proportionality is.
The constant of proportionality is 4, and the relationship is given by s = 4h.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
Let h represent the number of hours and s represent the number of inches of snow on the ground. Since both variables are proportional, hence:
s = hk; where k is the constant of proportionality
Let us assume in the table, when h = 1, s = 4 hence:
s = hk
4 = k(1)
k = 3
s = 4h
The constant of proportionality is 4, and the relationship is given by s = 4h.
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What is f(g(13))? A. 16 B.26 C. 32 D. The function is undefined
The answer is 32 and there’s a diagram but I need to know how to get there without said diagram.
Answer:
See explanation
Step-by-step explanation:
f(g(13))=
f(16)=32
**The diagram is the only reference to solving f(g(13)). f(x) or g(x) isn't provided for you, so just use the diagram.
A boy scout troop is selling bags of popcorn and boxes of cookies to fund their troops next trip. The popcorn sells for 10 dollars a bag and the cookies sell for 5 dollars a box. The troop sells 32 items and makes 210 dollars. Write a system that could be used to determine how much popcorn and cookies the troop sold.
Answer:
c + p = 32
5c + 10p = 210
Step-by-step explanation:
Given that :
Cost of popcorn per bag = $10
Cost of. Cookies per box = $5
Total items sold = 32
Total.amout made = $210
Let number of cookies = c ; number of popcorn = p
c + p = 32
5c + 10p = 210
c = 32 - p
5(32 - p) + 10p = 210
160 - 5p + 10p = 210
5p = 50
p = 10
c = 32 - p
c = 32 - 10
c = 22
What is the slope of a line perpendicular to y - 2x + 4 = 0?
Answer: 1/2
Step-by-step explanation:
Opposite reciprocal
Given CAD is a right angle and AB is bisecting CAD and if DAB=(7x-4) find X
Answer:
x = 7
Step-by-step explanation:
∠CAD is a right angle, right angles has 90° measurement.
m∠DAB = 7x - 4 AB bisects ∠CAD this means it divides the angle into two equal parts.
So it's safe to write the following equation:
7x - 4 = 45 (half of 90°)
add 4 to bot sides
7x = 49 divide both sides by 7
x = 7
This is a personal question what does 61.5 mean in height i wanna know for math class
hurry this is urgent im on a timer
Answer:
So 61.5 inches I'm guessing in feet would be 5.125 feet. You just divide 61.5 by 12 to get your answer.
Step-by-step explanation:
Solve for all values of x by factoring.
x^2– 25 = 0
Answer:
Step-by-step explanation:
a²-b²=(a+b)(a-b)
x²-25=0
x²-5²=0
(x+5)(x-5)=0
x=-5,5
Ahmad rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 88 cents for each mile driven. Ahmad had to pay
$144.71 when he returned the truck. For how many miles did he drive the truck?
mile.
Answer:
266 miles
Step-by-step explanation:
(244.09-17.99)/0.85=266
If there are 800 students and 17/50 wear a green shirt, how many students are wearing a green shirt?
Answer: 272 students are wearing a green shirt.
Step-by-step explanation:
800/50 = 16
16*17 = 272
I WILL GIVE BRAINLIEST
Select all the correct locations on the image.
Consider function f.
F(x) = x^3 + 2x^2 - 5x – 6
Select the locations of the zeros of function fon the coordinate plane. Then select the end behavior of its graph.
Answer:
C.
Step-by-step explanation:
A x approach positive infinity. f(x) approach positive infinity
Answer:
a bit late
use desmos, seriously a life saver
Step-by-step explanation:
A median of a triangle always bisects the angle of the triangle that it intersects. true or false
Answer: True
Step-by-step explanation: Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid. In the case of isosceles and equilateral triangles, a median bisects any angle at a vertex whose two adjacent sides are equal in length. The concept of a median extends to tetrahedra.
Answer:
True
Step-by-step explanation:
y=2,y=-1/2 thats the equation but it told me to write more idk why
More information is needed.
which is the graph of x-y=1
I need help solving this ASAP
find the amount of hardener needed for 600g of carbon fiber if the ratio of the composite is 40% matrix to 60% fiber and the ratio of the matrix is 100 parts resin to 27 parts of hardener
The hardener needed for 600 g of carbon fiber is 85.04 g.
We are given that the ratio of the composite is 40 % matrix to 60 % fiber.
This can be written as:
Matrix : fiber = 40 % : 60 %
Matrix : fiber = 40 : 60
Matrix : fiber = 2 : 3
Now, we know that the carbon fiber = 600 g
Matrix : 600 g = 2 : 3
Matrix / 600 = 2 / 3
Matrix = 1200 / 3 g
Matrix = 400 g
Also, we are given that the ratio of the matrix is 100 parts resin to 27 parts of hardener.
This means that:
Hardener = 27 / 127 of matrix.
Hardener = 27 / 127 × ( 400 g )
Hardener = 85.04 g
Therefore, the hardener needed for 600 g of carbon fiber is 85.04 g.
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6th grade math help me plzz
Answer:
A-B really simple.
Step-by-step explanation:
An item is regularly priced at %59 . It is on sale for 35% off the regular price. what is the sales price
Answer: 38.35%
Step-by-step explanation:
59%=59/100=0.59
0.59-0.35(0.59)=
0.59-0.2065=
0.5900-0.2065=
0.3835=38.35%
While playing basketball, Jada’s heart rate goes up to 140 beats per minute. While jogging, her heart beats 40 times in 15 seconds. Assuming her heart beats at a constant rate while jogging, which of these activities resulted in a higher heart rate? Explain your reasoning.
Answer:
Basketball
^^
Step-by-step explanation:
10 x 6 = 60 (there are 60 seconds in a minute)
25 x 6 = 150
jogging = 150
basketball = 160
^^
Hope this helped!! <3
Evaluate each expression if a = 2, b = -34
3. - 9 (a-6)
Answer:
36
Step-by-step explanation:
I'm assuming the expression we're solving here is -9(a-6).
-9(2-6)
(-9*2)-(-9*6)
(-18)-(-54)
Simplify.
-18+54
It equals 36.
Hope this helps.
what did he do wrong
Answer:
I think step 1 because 0.5m + 6 does not equal 20 which messed up the solution.
A 20 meter long cable is used to support a telephone, holding it perpendicular to the ground. If the cable forms a 60 degree angle with the ground, how high up the pole should the cable be attached?
Solve for x please... it's for a test and it's really hard
I'll give you all my points, thanks
4(x - 1) - 3 (x - 2) = - 8
Uma tecelagem fabrica 2000 metros de comprimento de tecido com 2 metros de largura em uma semana, com 4 teares funcionando 8 horas por dia cada. Se duas máquinas forem desligadas, em quanto tempo ela fabricará 1500 metros de comprimento de tecido com 3 metros de largura e com as máquinas trabalhando 6 horas por dia cada?
A
15 dias
B
18 dias
C
21 dias
D
28 dias
hellppp
plsssssssssss
Ramon places a mirror on the ground 45 ft from the base of a geyser. He walks backwards until he can see the top of the geyser in the middle of the mirror. at that point, Ramon eyes are 6 ft above the ground and he is 7.5 ft from the mirror. Use similar triangles to find the geyser
Answer:
36 ft
Step-by-step explanation:
6/x=7.5/45
270=7.5x
x=36
In this exercise we have to have knowledge of triangles, so we can use the theory of similar triangles to find the value of X, like:
[tex]36 ft[/tex]
To use similar triangle theory, we have to make a rule of 3, that is:
[tex]6/x=7.5/45\\270=7.5x\\x=36[/tex]
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Find angles in triangles
Find the value of x in the triangle shown below.
o
X =
53°
20
970
Answer:
x = 30°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
53° + 97° + x° = 180°
Step 2: Solve for x
Combine Like Terms: x° + 150° = 180°Isolate x: x = 30°Which of the following equations has an infinite number of solutions?
A. 3x – 3 = –4x
B. 2y + 4 – y = 16
C. 7x + 5 = 4x + 5 + 3x
D. 6y – 2 = 2(y – 1)
The equation 7x + 5 = 4x + 5 + 3x has an Infinite number of solutions. which is the correct answer would be option (C).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have to determine which equation has an infinite number of solutions
As per option (C),
⇒ 7x + 5 = 4x + 5 + 3x
Combine comparable terms to simplify both sides of the problem.
You have become left with 7x+5 = 7x+5.
On both sides, subtract 7x.
This gives you 5=5.
Subtraction 5 from both sides
⇒ 0 = 0
Thus, this equation has an Infinite number of solutions.
Hence, the correct answer would be an option (C).
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Juan hires an electrician. • Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. How much will Juan pay if it takes the electrician 6.5 hours to complete the job?
Answer: 322.50
Step-by-step explanation:
45 * 6.5 = 292.5
292.5 + 30 = 322.5
What is the diameter of a sphere with a volume of 15276 cm", to the nearest tenth
of a centimeter?
Answer:
15.4
Step-by-step explanation:
15276 = 4/3 πr³
11457 = πr³
3646.88 = r³
15.4 = r
Answer:
30.8
Step-by-step explanation:
please helppppppppp!!!!