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3 years ago

What is the distance between the points (-4, 2) and (3,-5)?

1 answer:

4 0

Solution:
We are going to find the distance between points A -4; 2, B 3; -5 :
d = √ (xb - xa) 2 + (yb - ya) 2 =

= √ (3 - (-4)) 2 + (-5 - 2) 2 =

= √72 + (-7) 2 = √49 + 49 =
= √98
= 7√2 ≈ 9.899494936611665

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Determine whether is a right triangle for the given vertices. Explain. Q(7, –10), R(–3, 0), S(9, –8)

andriy [413]

Answer:

Yes, It is a right triangle for the given vertices.

Step-by-step explanation:

Given:

Q(7, –10),

R(–3, 0),

S(9, –8)

To Find:

determine whether is a rig ht triangle for the given vertices = ?

Solution:

QR= $\sqrt{(-3-7)^2+(0-(-10))^2}$

QR= $\sqrt{(-10)^2+(10)^2}$

QR= $\sqrt{100+100}$

QR= $\sqrt{200}$ --------------------------(1)

QR=14.142136

RS= $\sqrt{(9-(-3))^2+(-8-0)^2}$

RS= $\sqrt{(12)^2+(-8)^2}$

RS= $\sqrt{144+64}$

RS= $\sqrt{208}$ ---------------------------(2)

RS=14.422205

QS= $\sqrt{(7-9)^2+(-10-(-8))^2}$

QS= $\sqrt{(-2)^2+(-2)^2}$

QS= $\sqrt{4+4}$

QS= $\sqrt{8}$ -------------------------------------(3)

QS=2.828427

According to Pythagorean Theorem,

$RS^2 = QR^ +QS^2$

Substituting the values,

$(\sqrt{208})^2 = (\sqrt{200})^2 +(\sqrt{8})^2$

$208 = 200 +8$

208 = 208

Pythagorean theorem is satisfied. Hence it is a right triangle.

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3 years ago

Hannah works at Blooming Bouquets flower shop. She uses 2 roses for every 5 carnations in the Spring Medley bouquets. Today she

Lady_Fox [76]

Answer:

40 carnations

Step-by-step explanation:

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3 years ago

If 5X +5 equals 15/11 what does X equal

antiseptic1488 [7]

Answer: -8/11 or -.72727...

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3 years ago

What is the correct answer 3/4×1/4

dedylja [7]

The answer would be 3/16 since 3*1 equals 3 and 4*4 equals 16

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3 years ago

How can solving polynomial equations help you find dimensions?

S_A_V [24]

I can't really answer that. Sorry. But I know a YouTube account that can help you. Search up L. Moon and it will show you a list of videos.

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3 years ago