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3 years ago

9

△ABC has vertices at (-4,0), (-1,6), and (3,-1). What is the perimeter of \displaystyle \triangle ABC△ABC rounded to the nearest

tenth?

1 answer:

nydimaria [60]3 years ago

8 0

hope it helps and sry it's not the appropriate answer :(

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Find the formula for an exponential function that passes through the two points give.

Ksenya-84 [330]

Answer:

$y=3(2)^{x}$

Step-by-step explanation:

Given.

Two points are given.

$(x, y)=(-1,\frac{3}{2})$ and $(x, y)=(3,24)$

An exponential function is in the general form.

$y=a(b)^{x}$ -------(1)

We know the points $(-1,\frac{3}{2})$ and $(3,24)$

put the first point value in equation 1

$\frac{3}{2}=a(b)^{-1}$

$\frac{3}{2}=\frac{a}{b}$

$a=\frac{3}{2}\times b$ --------(2)

put the second point value in equation 1

$24=a(b)^{3}$ ----------(3)

Put the a value from equation 2 to equation 3

$24=\frac{3}{2}\times b(b)^{3}$

$b^{3+1}=\frac{24\times 2}{3}$

$b^{4} = 16\\b=\sqrt[4]{16} \\b=2$

Put the b value in equation 2

$a=\frac{3}{2}\times 2$

$a=3$

Put the a and b value in equation 1

$y=3(2)^{x}$

So, the exponential function that passes through the points $(-1,\frac{3}{2})$ and $(3,24))$ are $y=3(2)^{x}$ .

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A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all th

Zinaida [17]

Answer:

4/25 = 0.16

Step-by-step explanation:

The shortest stick must be between 0 and 5/3. The probability that it is longer than 1 is therefore:

(5/3 − 1) / (5/3 − 0)

(2/3) / (5/3)

2/5

So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.

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In the rectangular prism shown below, which lines are parallel?

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Answer:

JN and LP...............

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Hence, the number of gallons in 50 litres is 50/3.785 ≈ 13.2.

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California is at higher risks for earthquakes, because it near the Pacific Ocean

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