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Zarrin [17]
3 years ago
11

A parallelogram has coordinates A(1, 1), B(5, 4), C(7, 1), and D(3, -2). What are the coordinates of parallelogram A′B′C′D′ afte

r a 180° rotation about the origin and a translation 5 units to the right and 1 unit down?
A.
A′(-4, -2), B′(0, -5), C′(2, -2), D′(-2, 1)
B.
A′(4, -2), B′(0, -5), C′(-2, -2), D′(2, 1)
C.
A′(4, 2), B′(0, 5), C′(-2, 2), D′(2, -1)
D.
A′(-4, 2), B′(0, 5), C′(2, 2), D′(-2, -1)
Mathematics
1 answer:
andrezito [222]3 years ago
6 0

Answer:

C I think

Step-by-step explanation:

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A chemistry teacher needs to mix a 20% salt solution with an 80% salt solution to make 20 qt of a 40% salt solution. How many qu
Svetlanka [38]

Answer:

  • 6 2/3 qt 80%
  • 13 1/3 qt 20%

Step-by-step explanation:

It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.

__

We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...

  0.80x +0.20(20-x) = 0.40(20)

  0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify

  x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution

  (20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed

The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.

3 0
2 years ago
Will's band played 33 shows in three months. How many shows per month did they play?
GrogVix [38]

Answer:

11

Step-by-step explanation:

33÷3= 11

11 shows every month

5 0
3 years ago
A rain barrel is full of water and used to water the garden. The rain barrel loses water at the rate 2.5 gallons of water per mi
soldier1979 [14.2K]
Answer: <span>y - 37.5 = 2.5 ( x - 7)

Explanation:

1) The point-slope form is has this form:

 y - y1 = m (x - x1)

Where m is the slope or rate of change and x1, y1 are the coordinates of the point.

2) you are told that the the rate of change of water (m) is 2.5

m = 2.5

3) The point is given by that after 7 min the rain barrel contains 37.5 gallons. This is:

x1 = 7
y1 = 37.5

</span>4) Replace those value in the point-slope model:

y - 37.5 = 2.5 ( x - 7)

That is the point-slope model or equation.

4 0
3 years ago
What is the value of the expression i To the power of 1 times I to the power of 2 times I to the power of 3 times I to the power
nalin [4]

Answer:

-1

Step-by-step explanation:

i^1\cdot i^2\cdot i^3\cdot i^4= \\\\i^{1+2+3+4}= \\\\i^{10}= \\\\-1

Hope this helps!

6 0
3 years ago
Ally works in a shop for 18$ per hour. She is not allowed to work more than 40 hours a week but has to work atleast 20 hours. St
AleksAgata [21]

Answer:

Hi there!

The domain is:

20<=x<=40

Step-by-step explanation:

This states that:

x>=20

x<=40

Which fits the problem!

Hope this helps

8 0
3 years ago
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