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kirill [66]
3 years ago
15

What transformation did Ben perform to create P'Q'R'S'? (6 points)

Mathematics
2 answers:
hammer [34]3 years ago
6 0

Answer:

Rotation of 90° counterclockwise about the origin

nata0808 [166]3 years ago
4 0

Answer:

90 degree counterclockwise rotation

Step-by-step explanation:

a reflection doesn't change the position of the points and 270 degrees counterclockwise is to much and the will take you to the wrong quadrant

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A surveyor starts at the southeast corner of a lot and
elena-s [515]

Find the difference vertically( North and South) and the difference horizontally ( East and West)

Then use  the Pythagorean Theorem.

600 North - 200 South = 400 m

400 West - 100 East = 300 m

Now using the Pythagorean Theorem;

400^2 + 300^2 = total displacement^2

Total displacement^2 = 160,000 + 90,000

Total displacement^2 = 250,000

Total displacement = √250,000

Total displacement = 500 m

7 0
3 years ago
What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

y=x^{2}-8x+15

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

x^{2}-8x+15=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-8x+15=0  

so

a=1\\b=-8\\c=15

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}

x=\frac{8\pm\sqrt{4}} {2}

x=\frac{8\pm2} {2}

x=\frac{8+2} {2}=5

x=\frac{8-2} {2}=3

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0
3 years ago
john spent $201 for shirts and pants for work. shirt cost $27 dollars and pants cost $22. if he bought a total of 8 articles of
skelet666 [1.2K]
So you subtract, 27-22. 27-22 is equal to 5. So, John will buy 5 kinds of T- Shirts.
4 0
3 years ago
Read 2 more answers
What is the area of the triangle
ehidna [41]

Answer:

45.1 km^2

hope this helps

have a good day :)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If 12% of the air leaks out of Brian's bicycle tire every day, what percent of the air will be left after 2 days? After a week?
Leni [432]

Answer:

77.44%

49.87%

Step-by-step explanation:

If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air

on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056

Air left on the second day = 88% - 10.56% = 77.44%

After a week = (100 - 12%)^7 = 49.87%

6 0
3 years ago
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