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3 years ago

Write an equation of the line that passes through point (-1, 5) and has the slope m = 4.

Mathematics

1 answer:

hram777 [196]3 years ago

5 0

You want to find the equation for a line that passes through the point (-1,5) and has a slope of 4.
First of all, remember what the equation of a line is:

y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 4. So you can right away fill in the equation for a line somewhat to read:
y=4x+b.
Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:
(-1,5). When x of the line is -1, y of the line must be 5.

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netineya [11]

Answer:

Part A) The diameter of the rug is $10\ ft$

Part B) The radius of the rug is $r=5\ ft$

Part C) The area of the rug is $78.5\ ft^{2}$

Step-by-step explanation:

Part A) Find the diameter of the rug

we know that

The circumference of a circle (circular rug) is equal to

$C=\pi D$

where

D is the diameter

we have

$C=31.4\ ft$

$\pi=3.14$

substitute the values and solve for D

$31.4=(3.14)D$

$D=31.4/(3.14)=10\ ft$

Part B) Find the radius of the rug

we know that

The radius of a circle (circular rug) is half the diameter

we have

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$r=D/2$

substitute

$r=10/2=5\ ft$

part C) What is the area the rug is covering?

The area of the circle (circular rug) is equal to

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we have

$r=5\ ft$

$\pi=3.14$

substitute

$A=(3.14)(5)^{2}$

$A=78.5\ ft^{2}$

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4 years ago

the town of lantana needs 14,000 for a new playground. Lantana elementary school raised 5,358, Lantana middle school raised 2,83

Alecsey [184]

Assuming the question is "how much more money needs to be raised..."

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14,000 - 12,324 = 1,676

Answer: $1,676 is still needed in order to create the playground.

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