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Naddik [55]
3 years ago
15

Calculate the distance between the points K = −1, −4 and L = −82 in the coordinate plane.

Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0

Answer:

√85

Step-by-step explanation:

The distance formula tells you the distance between (x1, y1) and (x2, y2) is ...

... d = √((x2-x1)^2 +(y2-y1)^2)

For your points (-1, -4) and (-8, 2), the distance is ...

... d = √((-8 -(-1))^2 +(2 -(-4))^2) = √((-7)^2 +6^2) = √(49 +36)

... d = √85

The distance between the two points is √85.

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Identify the angle measures of PQRS. I'm so confused, please help me! SHOW YOUR WORK!!
Dennis_Churaev [7]

10y + 7 + 3(3y + 7) = 180

10y + 7 + 9y + 21 = 180

19y + 28 = 180

19y = 180 - 28

19y = 152

y = 152/19

y = 8

Plug back into Q and S.

Q = 10y + 7

Q = 10(8) + 7

Q = 80 + 7

Q = 87

S = 3(3y + 7)

S = 9y + 21

S = 9(8) + 21

S = 72 + 21

S = 93

Without solving for x to find the other angles, we can easily see that the answer is choice C.

Answer:

P = 61°

Q = 87°

R = 119°

S = 93°

Done!

3 0
3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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