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chubhunter [2.5K]
3 years ago
12

What is the y-intercept of a line with the slope of 7 and containing point (5,-9)

Mathematics
1 answer:
melomori [17]3 years ago
5 0

The y-intercept is:  y = 7x - 44

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The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.
Anuta_ua [19.1K]

Answer:

perimeter=90

Step-by-step explanation:

We know that the length is four times the width, so:

l=4w

We also know the area, which is 324 m². The formula for area:

A=l*w

Insert the known values:

324=(4w)*w

Solve for w. Simplify by removing parentheses:

324=4w*w\\324=4w^2

Divide 4 from both sides to isolate the variable:

\frac{324}{4}=\frac{4w^2}{4}  \\\\81=w^2

Find the square root of both sides:

\sqrt{81} =\sqrt{w^2} \\\\w=9

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

324=l*9

Solve for l. Divide both sides by 9:

\frac{324}{9}=\frac{l*9}{9}\\\\  l=36

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

P=2l+2w

Insert values:

P=2(36)+2(9)\\\\P=72+18\\\\P=90

The perimeter is 90 m.

5 0
3 years ago
Which shows how to calculate the area of the<br> playground?
Korolek [52]

Answer:

Length (X) width

Step-by-step explanation:

7 0
3 years ago
A certain region of a country houses 1/178 of the total number of libraries in the country. If there are about 10680 libraries i
expeople1 [14]

Answer:

poop

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What’s the slope of the equation y= -5x +1
slava [35]

Answer:

slope is -5

Step-by-step explanation:

y=-5x+1

This equation is in slope-intercept form:

y=mx+b

where m is the slope and b is the y-intercept.

In the given equation, the slope is -5 and the y-intercept is 1.

8 0
2 years ago
Read 2 more answers
Si un buzo se sumerge 4 metros luego sube 2 metros y finalmente desciende 5 metros más, ¿a qué profundidad se encuentra al final
wolverine [178]

Así, concluimos que la posición final del buzo será 7 metros bajo la superficie del agua.

<h3 /><h3>¿a qué profundidad se encuentra al final de su recorrido?</h3>

Primero, vamos a definir la superficie del agua como el 0 metros.

Sí sabemos que primero el buzo se sumerge 4 metros, entonces en este punto la posición del buzo es:

P = 0m - 4m = -4m

Luego el buzo sube 2 metros, entonces la nueva posición será:

P = -4m + 2m = -2m

Finalmente, el buzo desciende otros 5 metros, entonces la posición final del buzo será:

P = -2m - 5m = -7m

Así, concluimos que la posición final del buzo será 7 metros bajo la superficie del agua.

Sí quieres aprender mas sobre posiciones:

brainly.com/question/21853903

#SPJ1

7 0
2 years ago
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