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Elena-2011 [213]
3 years ago
11

I don't know how to do question 12(b)

Mathematics
1 answer:
Virty [35]3 years ago
5 0
Amy: x skirts Betty: 2x skirts Carol: (2x) + 7 skirts If Amy has 18 less than Carol, than Carol's equation minus 18 equals Amy's equation: [(2x) + 7] - 18 = x +18 +18 (2x) + 7 = x + 18 - 7 -7 2x = x + 11 -x -x x = 11 Input the solution for x into the girls equation to double check. Amy: 11 Betty: 2(x) 2(11) =22 Carol: (2x) + 7 22 + 7 =29 Does Amy have 18 less than Carol? Carol - Amy = 18 29 - 11 = 18 18 = 18 the problem is solved
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Choose the rule to describe the transformation:
butalik [34]
<h3><u>We are given:</u></h3>

The initial points:             T(2 , 3)      U(5, 4)       V(2, 0)

The transformed points: T'(-1, 2)       U'(2,3)          V'(-1, -1)

<h3><u>Identifying the Transformation rule:</u></h3>

Since all these points will follow the same rule, we will take a pair of initial and transformed points and compare them

T(2, 3) → T'(-1, 2)

We can see that these points are not reflected across the y-axis

<u>Checking if they have a dilation of 0.25 about the origin:</u>

Dilation of 0.25 about the origin basically means if the Initial x and y coordinates are multiplied by 0.25 to form the transformed points

So, if the points have a dilation of 0.25:

x (initial) * 0.25 = x(final)

2*0.25 = -1

0.5 ≠ -1

Hence, there is no dilution of 0.25

<u>Checking if the given points are translated:</u>

To check this, we will take 2 pairs of initial and transformed points

T(2,3) →  T'(-1,2)

U(5,4) → U'(2,3)

To check if there is transformation, we need to check if the difference between the x and y coordinates of initial and transformed points is equal

<u>Change in coordinates of T:</u>

x-coordinates:

x(final) - x(initial) = x(change)

x(change) = -1 - (2)

x(change) = -3

y-coordinates:

y(change) = y(final) - y(initial)

y(change) = 2 - (3)

y(change) = -1

<u>Change in coordinates of U:</u>

x-coordinates:

x(change) = x(final) - x(initial)

x(change) = 2 - 5

x(change) = -3

y-coordinates:

y(change) = y(final) - y(initial)

y(change) = 3 - 4

y(change) = -1

Since there is the same change in x and y coordinates of the initial and transformed points, we know that Translation took place

Since the change in x is -3 and the change in y is -1, the translation will look like:

(x-3 , y-1)

Which is also option d.

Hence, option d is the correct answer

3 0
3 years ago
+8.2+​(−7.9​)=
vichka [17]

Answer:

Step-by-step explanation:

7

6-

Progr

5

4-

Introdu

3

С

2

1+

1

20

Transla

-7 -6 -5 -4

-32

1

À 3 4 5 6 7

-2

-3

Quiz 1

-4+

A

-5

Unit

Do 5 problems

8 0
3 years ago
The sum of x and 3 is divided by 2
Ganezh [65]
The mathematical expression in this case is
(x+3)/2
6 0
3 years ago
What’s the slope of a line that’s perpendicular to y = 2 x + 7
Zina [86]

Answer:The slopw is -1/2

Step-by-step explanation

A slope that is a opposite reciprocal of another slope is always perpendicular. Make sure it is a opposite reciprocal. Not just a regular reciprocal.

8 0
3 years ago
A ramp is at an angle of elevation of 15°. The distance from the top of the ramp to the ground is 20 feet. What is the length of
Natasha_Volkova [10]
77.27 ft rounded to the nearest tenth is 77.3 ft
6 0
2 years ago
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