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3 years ago

8

What are the solutions

2 answers:

dalvyx [7]3 years ago

5 0

A and b are both correct

ella [17]3 years ago

5 0

X² + 10x + 25 = 8
(x + 5)(x + 5) = 8
(x + 5)² = 8
x + 5 = +-√8
x + 5 = +-(√4 × √2)
x + 5 = +-(2√2)

first solution
x + 5 = +2√2
x = -5 + 2√2
x = 2√2 - 5

second solution
x + 5 = -2√2
x = -5 - 2√2
x = -2√2 - 5

The answer is first option and second option

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melomori [17]

Answer:

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Step-by-step explanation:

The total amount spent $80.50 would be equal to the sum of the price of the ticket bought by the 6 individuals

total cost of the tickets for the 2 younger children = $12.50 x 2 = $25

let the price of each ticket for the three older children be represented by x. the total price of the 3 tickets would be 3x

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3 years ago

Wich ordered pair is the solution to the system of linear equations y=-7x+2 and y=9x-14?

nignag [31]

Set them up to equal each other
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3 0

3 years ago

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Varvara68 [4.7K]

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7 0

3 years ago

Read 2 more answers

1.) What is the value of cosθ given that (−5, −4) is a point on the terminal side of θ?

jeka57 [31]

Answer:

1) C

2) D

Step-by-step explanation:

1)

We want to find the value of cos(θ) given that (-5, -4) is a point on the terminal side of θ.

This is represented by the diagram below.

Recall that cosine is the ratio of the adjacent side to the hypotenuse.

Find the hypotenuse:

$\displaystlye \begin{aligned} a^2 + b^2 &= c^2 \\ c &= \sqrt{a^2 + b^2} \\ &= \sqrt{(4)^2 + (5)^2} \\ &= \sqrt{41}\end{aligned}$

The adjacent side with respect to θ is -5 and the hypotenuse is √41. Hence:

$\displaystyle \begin{aligned}\cos \theta &= \frac{(-5)}{(\sqrt{41})} \\ \\ &= - \frac{5\sqrt{41}}{41} \end{aligned}$

Our answer is C.

2)

We want to find the value of sin(θ) given that (-6, -8) is a point on the terminal side of θ.

This is represented in the diagram below.

Likewise, find the hypotenuse:

$\displaystyle c = \sqrt{(-6)^2 + (-8)^2} = 10$

Sine is given by the ratio of the opposite side to the hypotenuse.

The opposite side with respect to θ is -8 and the hypotenuse is 10. Hence:

$\displaystyle \begin{aligned}\sin \theta &= \frac{(-8)}{(10)} \\ \\ &= -\frac{4}{5} \end{aligned}$

Our answer is D.

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3 years ago

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andrezito [222]

Answer:

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Step-by-step explanation:

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3 years ago

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