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AysviL [449]
2 years ago
8

1. Triangle ABC with coordinate points A(-2,3); B(-1,0); C(5,-4) is rotated 90 degrees clockwise. What

Mathematics
1 answer:
Reil [10]2 years ago
6 0

Answer: A'(3,2),  B'(0,1)  and C'(-4, -5).

Step-by-step explanation:

When we rotate (a,b) 90 degrees clockwise, the new point will be (b,-a).

i.e. rotation rule for 90 degrees clockwise : (x,y) → (y,-x)

Given: Triangle ABC with coordinate points A(-2,3); B(-1,0); C(5,-4) is rotated 90 degrees clockwise.

Then, the new image points for triangle A'B'C' will be :

A(-2,3) → A'(3,-(-2)) =A'(3,2)

B(-1,0)→ B'(0,-(-1)) = B'(0,1)

C(5,-4) → C'(-4, -5)

Hence, the new image points for triangle A'B'C' are A'(3,2),  B'(0,1)  and C'(-4, -5).

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Please explain how to do this one as well ...
kirza4 [7]

Answer:

x = 13

Step-by-step explanation:

Step 1: Define

f(x) = (x - 1)/2

f(x) = 6

Step 2: Substitute and solve for <em>x</em>

6 = (x - 1)/2

12 = x - 1

x = 13

4 0
3 years ago
In rectangle ABCD, AC = -x + 21, BP = -9x + 19, and DP = -y + 5. Find the value of y.
creativ13 [48]

Answer:

y=-5

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are equal and bisect each other

so

BP=\frac{1}{2}AC

DP=BP

step 1

Find the value of x

BP=\frac{1}{2}AC

substitute the given values

(-9x+19)=\frac{1}{2} (-x+21)

solve for x

Multiply by 2 both sides

-18x+38=-x+21

18x-x=38-21\\17x=17\\x=1

step 2

Find the value of y

DP=BP

we have

BP=-9x+19

DP=-y+5

substitute

-y+5=-9x+19

substitute the value of x

-y+5=-9(1)+19\\-y+5=10\\y=5-10\\y=-5

5 0
3 years ago
Mikkel pays a 4 percent state income tax on his earnings. If he earns $1,867, how much state income tax can he expect to pay? $4
lisabon 2012 [21]

Answer:

$74.68

Step-by-step explanation:

Convert the percent to a decimal.

4% = 0.04

Multiply his income by the percentage to find the tax.

$1,867 × 0.04 = $74.68

He can expect to pay $74.68.

3 0
3 years ago
Read 2 more answers
Helpppppp!!!!!!!!!!!!!!!
lions [1.4K]
Your answer is D. Hope this helps!


6 0
3 years ago
24. The relative frequency of getting a HEAD when tossing a coin is ⅜. How many HEADS would you expect if the coin is tossed 400
Finger [1]
3/8 probability × 400 times = 150 heads
5 0
3 years ago
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