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fiasKO [112]
3 years ago
9

What is the y-intercept of the line represented by the equation? y = –6x – 1

Mathematics
1 answer:
bearhunter [10]3 years ago
8 0
Y= -6x-1
this is in the form y=mx+b
where m=slope and b= y intercept 
so y intercept= -1 
the y intercept is where the equation cuts the y-axis
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The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h
Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0
3 years ago
Please help me. right answer will get brainliest
Harman [31]

Answer:

I attached the answers :)

Step-by-step explanation:

hope this helps :)

(Its a bit messy becuz i used a mouse to write, sry about that)

8 0
3 years ago
2,4,6,8...<br> What is the 32nd term of this sequence?
Elza [17]

Answer:

omg im dum i said all the numbers up to 64 i could have just multiplied its 64 xD

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
the basement has an area of 864 square feet. the width of the basement is two thirds its length. What is the length of the basem
Leno4ka [110]
A = 864
w = 2/3l

A = lw

Plug in what we know:

864 = l(2/3l)

Multiply:

864 = 2/3l^2

Divide 2/3 to both sides or multiply by its reciprocal, 3/2:

864 * 3/2 = l^2

2592/2 = l^2

1296 = l^2

Find the square root of both sides:

l = 36

So the length of the basement is 36 feet.
7 0
3 years ago
Read 2 more answers
Simplify <br>99=2(-7b-3)+7​
Arisa [49]

Answer:

b=-7

Step-by-step explanation:

Simplifying

99 = 2(-7b + -3) + 7

Reorder the terms:

99 = 2(-3 + -7b) + 7

99 = (-3 * 2 + -7b * 2) + 7

99 = (-6 + -14b) + 7

Reorder the terms:

99 = -6 + 7 + -14b

Combine like terms: -6 + 7 = 1

99 = 1 + -14b

Solving

99 = 1 + -14b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '14b' to each side of the equation.

99 + 14b = 1 + -14b + 14b

Combine like terms: -14b + 14b = 0

99 + 14b = 1 + 0

99 + 14b = 1

Add '-99' to each side of the equation.

99 + -99 + 14b = 1 + -99

Combine like terms: 99 + -99 = 0

0 + 14b = 1 + -99

14b = 1 + -99

Combine like terms: 1 + -99 = -98

14b = -98

Divide each side by '14'.

b = -7

Simplifying

b = -7

5 0
3 years ago
Read 2 more answers
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