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zloy xaker [14]
3 years ago
7

(5,12) with a slope m=10 the equation of the line is

Mathematics
1 answer:
motikmotik3 years ago
8 0

Answer:

y= 10x-38

Step-by-step explanation:

Equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

Given that m=10,

y= 10x +c

Now substitute the coordinates into the equation.

When y=12, x=5,

12= 10(5) +c

12= 50 +c

c= 12 -50

c= -38

Thus the equation of the line is y= 10x -38

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The length of a rectangle is twice its width. Find its area, if its perimeter is 7 1/3 cm The area of the rectangle is _sq. cm.
Harman [31]

Answer:

The area of rectangle is 2\frac{80}{81}\ cm^2

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

P=2(L+W)

we have

P=7\frac{1}{3}\ cm=7+\frac{1}{3}=\frac{22}{3}\ cm

so

\frac{22}{3}=2(L+W)

\frac{11}{3}=(L+W) ----> equation A

Remember that

The length of a rectangle is twice its width.

so

L=2W ----> equation B

substitute equation B in equation A

\frac{11}{3}=(2W+W)

solve for W

W=\frac{11}{9}\ cm

Find the value of L

L=2(\frac{11}{9})

L=\frac{22}{9}\ cm

<em>Find the area of rectangle</em>

A=LW

substitute the values

A=(\frac{22}{9})(\frac{11}{9})

A=\frac{242}{81}\ cm^2

Convert to mixed number

\frac{242}{81}\ cm^2=\frac{162}{81}+\frac{80}{81}=2\frac{80}{81}\ cm^2

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Answer:

Step-by-step explanation:

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What is the surface area of the cylinder with height 8 ft and radius 5 ft? Round your answer to the nearest thousandth.
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A student is 7 years old. If you triple the teachers age and add the student's age the answer is 163. How old is the teacher?
pogonyaev

Answer:

52

Step-by-step explanation:

We can write this out as an equation. Let's say that the teacher's age is x. Triple the teachers age plus the students age is 163, which can be written out as:

3x + 7 = 163

We want to isolate the variable, so subtract 7 from both sides. This gives us:

3x = 156

Finally, we divide both sides by  3, giving:

x=52

So the teacher is 52 years old.

Hope this helps!

4 0
3 years ago
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D: (-infinity, 0) U (0, infinity) because you cant have a zero in the bottom of the fraction
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