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sattari [20]
3 years ago
6

Find the distance between the points A(-6,8) and B(12, - 7) by using the distance formula or Pythagorean Theorem. Leave your ans

wer under the radical unless it is a a perfect square. Or, round your decimal answer to the nearest tenth.
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0

Answer:

d=23.43

Step-by-step explanation:

Given data

A(-6,8)

X1=-6

Y1=8

B(12, - 7)

X2=12

Y2=-7

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²

Substitute

d=√((12+6)²+(-7-8)²

d=√((18)²+(-15)²

d=√324+225

d=√549

d=23.43

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A train traveling nonstop to its destination is able to make the trip at an average speed of 70 miles per hour. On the return tr
larisa86 [58]

Answer:

Return trip travel time: 7h

Step-by-step explanation:

Let d be the distance.

Index 1 refers to initial trip, index 2 refers to the return trip.

v1=70mi/h

v2=40mi/h

t2=t1+3h, or t1=t2-3h (travel times)

d=v1×t1=v2×t2

v1×(t2-3)=v2×t2

v1 t2 -3 v1=v2 t2

v1 t2 - v2 t2=3 v1

t2(v1-v2)=3v1

t2=3v1/(v1-v2)

Or

t2=3×70/(70-40)=3×70/30=7h

3 0
4 years ago
Write the equation for a line that has an initial value of 3 and 3/4 as it’s rate of change
frutty [35]

the slope goes by several names

• average rate of change

• rate of change

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however, is the same cat wearing different costumes.

initial value of 3, namely when x = 0, y = 3, so we have the point (0 , 3) and it has a rate or slope of 3/4.

(\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{3}{4}}(x-\stackrel{x_1}{0})\implies y=\cfrac{3}{4}x+3

3 0
3 years ago
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Y_Kistochka [10]

Answer: 2.5$

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5$/2 Hours = 2.5$ per hour

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Luba_88 [7]
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kirill [66]

Answer:

v = − 3 ± √ 6/ 3

Step-by-step explanation:

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