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3 years ago

Solve the equation. -8(x+1) + 2x = -32

Mathematics

1 answer:

sdas [7]3 years ago

5 0

X= 4

Step-by-step explanation:

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)Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the

konstantin123 [22]

Answer:

$a=\sqrt{7}$

$\text{tan}(A)=\frac{\sqrt{7}}{3}$

Step-by-step explanation:

Please find the attachment.

We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.

To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.

$a^2+b^2=c^2$

Upon substituting our given values in Pythagoras theorem, we will get:

$a^2+3^2=4^2$

$a^2+9=16$

$a^2+9-9=16-9$

$a^2=7$

Take square root of both sides:

$a=\sqrt{7}$

Therefore, the length of side 'a' is $\sqrt{7}$ units.

We know that tangent relates opposite side of a right triangle with adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

We can see that 'a' is opposite side of angle A and 'b' is adjacent side.

$\text{tan}(A)=\frac{a}{b}$

$\text{tan}(A)=\frac{\sqrt{7}}{3}$

Therefore, the value of tan(A) is $\frac{\sqrt{7}}{3}$ .

3 0

3 years ago

Solve for the rational equation 1/x = x/x+1

babymother [125]

Answer:

the answer is x=1/2

Step-by-step explanation:

hope this helps if not let me know have a blessed day

8 0

2 years ago

When will the human population stop growing:Please answer asap

VMariaS [17]

Answer:

Very soon

Step-by-step explanation:

When there are no more humans then human population will stop growing

I truly tried my best

6 0

3 years ago

PLEASE HELP. Select the two roots of (3x+7)(2x-5)=0

bixtya [17]

Answer:

-7/3 & 5/2

Step-by-step explanation:

3x +7 = 0

3x = -7

x = -7/3

2x-5=0

2x = 5

X = 5/2

5 0

3 years ago

18. Emma works 16 hours per week during the summer. At this rate, how many hours will she work in 12 weeks? * A. 192 hours B. 18

miskamm [114]

$\dfrac{16 \textrm{ hours} }{ \textrm{week}} \times 12 \textrm{ weeks} = 192 \textrm{ hours}
$
Choice A

3 0

3 years ago