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elena-s [515]
3 years ago
7

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula o

f y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line
y = –x?

A. (–1, –3)
B. (3, –1)
C. (1, 3)
D. (–3, 1)

Mathematics
1 answer:
suter [353]3 years ago
7 0

Answer:

  B.  (3, –1)

Step-by-step explanation:

Reflection in the line y=-x is described by the transformation ...

  (x, y) ⇒ (-y, -x)

Then the point of interest becomes ...

  F(1, -3) ⇒ F'(3, -1) . . . . matches choice B

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If you reflect the image over the x - axis, what are the new coordinates of the shape?
lutik1710 [3]

Greetings!

When reflecting a shape over the x-axis, you simply change the number to its opposite positive/negative equivalent.

This means that the new co-ordinates would be (-5,1) , (-5,4) and (-2,4).


Hope this helps!

8 0
3 years ago
The standard form of an absolute value function is f(x)-a|x-h|+k. Which of the following represents the vertex?
Len [333]

Answer:

(h, k )

Step-by-step explanation:

given the standard form of an absolute function

f(x) = a| x - h | + k , then

vertex = (h, k )

6 0
2 years ago
Solve the following equation for W: 5(w-2)+10=3(2w-9)+5​
storchak [24]

Answer:

w=22

Step-by-step explanation:

5(w-2)+10=3(2w-9)+5

1) Use the Distributive Property for 5(w-2) and 3(2w-9):

5w-10+10=6w-27+5

2) Combine alike terms:

5w=6w-22

3) Add a 22 to both sides:

22+5w=6w

4)Subtract 5w from both sides:

w=22

5 0
3 years ago
A solid plastic ball is a sphere with a radius of 8 inches. How much plastic does it take to make one ball
mihalych1998 [28]

Answer:

2144.66in³

Step-by-step explanation:

Radius = 8 inches.

To determine the amount of sphere to make the ball, we'll have to find its volume.

Volume of a sphere = 4/3 * Πr³

V = 4/3*Πr³

Π = 22/7

V = 4/3 * 22/7 * 8³

V = 2144.66inches³

V = 2144.66in³

The amount of plastic required is 2144.66in³.

7 0
3 years ago
Here's the rest of the math questions 17 and 18
Lelu [443]

17. On average, Nestor works 7.5 hours of overtime in 4 weeks, so works an average of 7.5/4 = 1.875 overtime hours per week.

On average, each week Nestor gets paid for 7.5×5 + 2×1.875 = 41.25 hours, so is paid*

... (41.25 h)×($7.42/h) = $306.075

Each week Rita gets paid for 8×5 + 1.5×3 = 44.5 hours, so is paid

... (44.5 h)×($7.64/h) = $339.98

Their combined earning for a week are $306.075 + 339.98 = $646.055, so over a period of 12 weeks, they are paid a total of

... (12 weeks)×($646.055/week) = $7,752.66

18. Assuming Robin is paid time and a half for overtime, she was paid for

... 40 + 1.5×6 = 49 . . . hours

Then her hourly pay was ($392/week)/(49 hours/week) = $8.00 per hour

___

* The half-cent that shows up in Nestor's average weekly pay does not actually show up in Nestor's paycheck. Here, it is an artifact of dividing his monthly hour total by 4 to get a weekly average. Nestor's total pay for any given week is whole number of cents.

7 0
3 years ago
Read 2 more answers
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