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jok3333 [9.3K]
1 year ago
9

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)

Read more about transformation at:

brainly.com/question/4289712

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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 =

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&amp;M and peanut trail mix for a future hike. The M&amp;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
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