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2 years ago

Find the midpoint of the line segment

Mathematics

1 answer:

strojnjashka [21]2 years ago

5 0

Answer:

midpoint (5,4)

Step-by-step explanation:

The midpoint(M) of a segment with endpoints (x₁ , y₁) and ( x₂, y₂) is

where x₁ = 2 and x₂ = 8

y₁ = 0 and y₂ = 8

M = $\frac{x_1 + x_2}{2} ,\frac{y_1 + y_2}{2}$

M = $\frac{2 + 8}{2} ,\frac{0 + 8}{2}$

M = 5 , 4

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Which expressions are equivalent to 4b ?

aivan3 [116]

Answer:

They are b and c.

Step-by-step explanation:

Let's simplify each expression:

a. b+2 (b+2b)

= b + 2b + 4b = 7b.

b. 3b + b = 4b.

c. 2(2b) = 2 * 2b = 4b.

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3 years ago

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Which statement describes the volume of the watering

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Answer:

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3 years ago

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Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.

kumpel [21]

Answer:

Part 1) $sin(\theta)=\frac{2}{3}$

Par 2) $cos(\theta)=-\frac{\sqrt{5}}{3}$

Part 3) $tan(\theta)=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

step 1

Find the $sin(\theta)$

we have

$csc(\theta)=\frac{3}{2}$

Remember that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

$sin(\theta)=\frac{2}{3}$

step 2

Find the $cos(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$sin(\theta)=\frac{2}{3}$

substitute

$(\frac{2}{3})^{2} +cos^{2}(\theta)=1$

$\frac{4}{9} +cos^{2}(\theta)=1$

$cos^{2}(\theta)=1-\frac{4}{9}$

$cos^{2}(\theta)=\frac{5}{9}$

square root both sides

$cos(\theta)=\pm\frac{\sqrt{5}}{3}$

we have that

$cos(\theta) < 0$ ---> given problem

$cos(\theta)=-\frac{\sqrt{5}}{3}$

step 3

Find the $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=\frac{2}{3}$

$cos(\theta)=-\frac{\sqrt{5}}{3}$

substitute

$tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}$

Simplify

$tan(\theta)=-\frac{2\sqrt{5}}{5}$

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2 years ago

The sum of two consecutive odd integers is 188. list the numbers from smallest to largest:

mixer [17]

X and x+ 2 equal 188
add all the like terms to get 2x+2=188
subtract 2 from each side
2x=186
divide by 2
x=93
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3 years ago

Jenny asked 10 students how many courses they have taken so far at her collegeHere is the list of answers, 12, 10, 14, 7, 1, 19,

olga_2 [115]

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3 years ago