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Vikki [24]
3 years ago
11

What is the image of the point (3,-8) after a rotation of 90° counterclockwise about the origin?

Mathematics
1 answer:
yuradex [85]3 years ago
6 0
Answer:
(8,3)
Step-by-step explanation:
When we rotate a point 90° counterclockwise around the origin, it's the same as rotating it 270° clockwise around the origin.
When we rotate something 270° clockwise around the origin, the original coordinates (x, y) becomes (-y, x).
y is -3, and -(-3) is just 3, since two negatives make a positive.
x just remains x, but it's in a different position.
This makes the new coordinate .
Hope this helped!
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Y=2x-2 and 4x+2y=12. solve the equation PLEASE SHOW WORK​
diamong [38]
<h3>The solution as an ordered pair is (x,y) = (2,2)</h3><h3>x = 2 and y = 2 pair up together.</h3>

===============================

Work Shown:

4x+2y = 12

4x+2( y ) = 12

4x+2( 2x-2 ) = 12 ... replace y with 2x-2

4x+2( 2x ) + 2( -2 ) = 12 ... distribution rule

4x+4x-4 = 12

8x-4 = 12

8x-4+4 = 12+4 ... add 4 to both sides

8x = 16

8x/8 = 16/8 ... divide both sides by 8

x = 2 is the first part of the answer

Use x = 2 to find y

y = 2x-2

y = 2(2)-2 ... replace x with 2

y = 4-2

y = 2 is the second part of the answer

8 0
3 years ago
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Bruce collects stamps. He collected a total of 250 stamps. If 72% of the stamps he collected were foreign, how many other stamps
mestny [16]

Answer:

He collected 180 other stamps

Step-by-step explanation:

Sorry if it's wrong

5 0
3 years ago
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First we need to find the radius of the cylindrical tree trunk if the circumference C=4 feet: C=2rπ, r=4/(2π)=2/π. Now we find the volume V: V=r^2π*h, where h=20 feet is the height. So we input the numbers: V=(2/π)^2*π*20=(4/π²)*π*20. π in the nominator and the denominator cancel out: V=(4/π)*40=80/π. The volume of the cylindrical tree trunk is V=80/π feet^3
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notsponge [240]

Answer:

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Step-by-step explanation:

I assume the problem ask to maximize the profit of the company.

Let's define the following variables

v: ventilator

m: mask

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10 ≤ m ≤ 50

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Profit function:

P = 10*m + 65*v

The system of restrictions can be seen in the figure attached. The five points marked are the vertices of the feasible region (the solution is one of these points). Replacing them in the profit function:

point          Profit function:

(10, 100)    10*10 + 65*100 = 6600

(20, 100)    10*20 + 65*100 = 6700    

(50, 70)      10*50 + 65*70 =  5050

(50, 40)     10*50 + 65*40 = 3100

(10, 40)      10*10 + 65*40 =  2700

Then, the profit maximization is obtained when 20 masks and 100 ventilators are produced.

4 0
3 years ago
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Answer:

D. ASA

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