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3 years ago

Write the slope-intercept form of the line that passes through the point (-3,-1) and

Mathematics

1 answer:

crimeas [40]3 years ago

8 0

Answer:

y = 3x + 8

Step-by-step explanation:

y = 3x + b

-1 = 3(-3) + b

-1 = -9 + b

8 = b

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len

Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

$Area = 135yd^2$

$L=3W - 12$

Required

Determine the length of the rectangle:

Area is calculated as thus:

$Area = L * W$

Substitute 3W - 12 for L and 135 for Area

$135= (3W - 12) * W$

$135= 3W^2 - 12W$

Reorder:

$3W^2 - 12W - 135= 0$

Divide through by 3

$W^2 - 4W - 45 = 0$

Expand:

$W^2 - 9W + 5W - 45 = 0$

$W(W - 9) + 5(W - 9) = 0$

$(W + 5)(W-9) = 0$

$W + 5 = 0$ or $W - 9 = 0$

$W = -5$ or $W = 9$

But width can't be negative

So:

$W = 9$

Recall that: $L=3W - 12$

$L = 3 * 9 - 12$

$L = 15$

<em>Hence, the length 15 yards</em>

4 0

3 years ago

A rectangle has a perimeter of 26 cm and one of its sides has length of 5 cm

otez555 [7]

Answer:5 by 8 by 5 by 8

Step-by-step explanation: the perimeter is 26 and one side if 5 so you know that another side is also 5. So add 5 and 5 together you get 10. Then subtract 10 from the perimeter(witch we know is 26) and you end up with 16. we know that the last two side lengths are the same so divide 16 by two and the sidle length is 8.

8 0

3 years ago

Evaluate the expression when m=6 and n=39

IRINA_888 [86]

Answer: 639

Step-by-step explanation:

7 0

3 years ago

Number 1 les goooooooo

chubhunter [2.5K]

Answer:

Hi thank you so muchhhhh

Step-by-step explanation:

I wish you a great day

5 0

3 years ago

Read 2 more answers

Find the measure of angle 3. measure of angle 1 = x measure of angle 2 = x-6

andrew11 [14]

The value of x would equal to 8

5 0

3 years ago