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1 year ago

I need help with this question for my 8th grade math test

Mathematics

1 answer:

bezimeni [28]1 year ago

3 0

Transforming the points involves changing their coordinates

The image of the points are: (3, 6), (-11, 12) and (-3, -12)

<h3>How to complete the transformations?</h3>

The coordinates of the points are given as:

X(2, 4)

Y(5,-3)

Z(-7, 1)

<u>a) Rotate the points 90 degrees clockwise</u>

The rule of this transformation is:

(x, y) to (y, -x)

So, we have:

X' = (4, -2)

Y' = (-3, -5)

Z' = (1, 7)

<u>b) Dilation by a scaling factor of 2</u>

The rule of this transformation is:

(x, y) to (2x, 2y)

So, we have:

X'' = (8, -4)

Y'' = (-6, -10)

Z'' = (2, 14)

<u>c) Reflect across the x-axis</u>

The rule of this transformation is:

(x, y) to (x, -y)

So, we have:

X''' = (8, 4)

Y''' = (-6, 10)

Z''' = (2, -14)

<u>d) Translation 2 Up and 5 to the Left</u>

The rule of this transformation is:

(x, y) to (x -5, y + 2)

So, we have:

X'''' = (3, 6)

Y'''' = (-11, 12)

Z'''' = (-3, -12)

Hence, the image of the points are: (3, 6), (-11, 12) and (-3, -12)

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Mel works as a delivery person for Amazon. The graph shows a linear model for his delivery times on

lakkis [162]

Answer:

Point slope form: -9 = m(3)

Slope intercept form: y = -3x + 30

At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.

Step-by-step explanation:

We have 2 points to calculate the line.

(3, 21) x1 y1

(6, 12) x2 y2

First, we need to calculate the slope.

m =

m = -3

Point slope form is:

y - y1 = m(x - x1)

So for our case:

-9 = m(3)

And slope intercept form is:

y = mx + b

We need to solve for the y intercept (b)

y = -3x + b --- enter the slope

21 = -3(3) + b --- enter in any point on the line for x and y

21 = -9 + b

b = 30 --- solve for b

Now our slope intercept form of the line is:

y = -3x + 30

At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.

3 0

3 years ago

The clean up hitter on a baseball tean batted 1/3 of the runs the team scored. The hitter batted in 3 runs. Select the equation

Goryan [66]

The answer is :
a. 1/3 (n)=3
n=9

8 0

3 years ago

If (-1, y) lies on the graph of y=2^2x then y=

zubka84 [21]

Answer:

y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.

I believe the equation to be $y=2^{2x}$ . If you meant $y=2^2x$ , please let me know.

Thanks kindly.

Step-by-step explanation:

If (-1,y) lies on the graph of $y=2^{2x}$ , then by substitution we have:

$y=2^{2\cdot -1}$ .

We just need to simplify to determine y:

$y=2^{2 \cdot -1}$

Multiply the 2 and -1:

$y=2^{-2}$

Use reciprocal rule for exponents to get rid of the negative:

$y=\frac{1}{2^2}$

$2^2$ just means $2(2)$ :

$y=\frac{1}{2(2)}$

$y=\frac{1}{4}$ .

8 0

2 years ago

Nathan's boy scout troop is making M&M and peanut trail mix for a future hike. The M&M's cost $3 per pound and the peanu

sammy [17]

X - pounds of the M&M`s;
y - pounds of the peanuts
x + y = 30
3 x + 2 y = 74
----------------------
y = 30 - x
3 x + 2 ( 30 - x ) = 74
3 x + 60 - 2 x = 74
x = 74 - 60
x = 14
Answer:
They bought 14 pounds of M&M`s.

6 0

3 years ago

A shopkeeper sold a watch for Rs 810 at 10% loss. How much did he pay to buy the watch ? <br>

Svetlanka [38]

Answer:

Rupees 891

Step-by-step explanation:

If you multiply 810 times 0.1 which is the decimal of 10%, you get 81 which you can add to 810 to get 891 which is the price the shopkeeper payed to buy the watch.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

7 0

2 years ago