What is the length of the hypotenuse of the right triangle defined by the points (–3, –1), (1, –1), and (1, 2)?

Answers

Answer 1

Answer:

First we have to see which is the right angle. This triangle has its legs oriented parallel to the axes. (-3,-1) and (1,-1) form the horizontal leg, (1,-1) and (1,2) the vertical leg.

So the right angle vertex is (1,-1) and the hypotenuse endpoints are (-3,-1) and (1,2)

The length is given by

$d = √( (1 - -3)^2 + (2 - -1)^2) = √(4^2+3^2)=√(25) = 5$

This is a 3/4/5 right triangle.

Answer: 5

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What is the solution to this equation?A. x=-4
B. x= 100
C. x= 4
D. x=-100

Answers

Answer:

D. x = - 100

Step-by-step explanation:

$\bold{\frac x5=-20}\n{}\ \ ^(\cdot5\qquad\cdot5)\n\bold{\frac x5\cdot\frac51=-20\cdot5}\n\n\bold{x=-100}$

-10 x 2 + 21x + 10 How do I factor this?

Answers

$-10x^2+21x+10=\n-10x^2+25x-4x+10=\n-5x(2x-5)-2(2x-5)=\n-(5x+2)(2x-5)$

If a rectangle is dilated by a scale factor of 2 what is the new perimeter

Answers

Step-by-step explanation:

the new perimeter is 8 because add all sides

Y varies directly with X. if y = y when X= -4, find the constant of of proportionality

Answers

y = kx
6=k(-4)
6/-4 = k
-3/2 = k

6. How could you check the answer to 27-15 12 using addition?A. 27 15 12B. 27 12 15C. 12 15 27D. 15-12 277. Which of the following uses estimation to check 267 -154 113?A. 300 200 100B. 113 154 267C. 270 150 120D. 300 150 1508. Subtract the quotient of 18 and 2 from the sum of 22 and 9.A. 5B. 23C.4D. 22LPFU

Answers

27 - 15 = 12
Adding 15 to both sides, we have,
27 - 15 + 15 = 12 + 15
i.e. 27 = 12 + 15
Answer: C [12 + 15 = 27]

To calculate by estimation, round each number to the nearest ten, hundred, ets as the case may be.
Here, rounding to the nearest ten, we have,
267 - 154 = 270 - 150 = 120.
Answer: C

Quotient of 18 and 2 = 18/2 = 9
Sum of 22 and 9 = 22 + 9 = 31
Subtracting the quotient of 18 and 2 from the sum of 22 and 9, we have:
31 - 9 = 22
Answer: D

Tweleve cows produce 224,988 pounds of milk. find the unit rate in rotations per second.

Answers

If we're working with pounds of milk, then either the top or the bottom of any
unit rate must have units of pounds. Rotations are on a different planet.

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55% of what number is 231

What is the answer? -5+(-4)=?