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ZanzabumX [31]
2 years ago
12

Find the equation of the line

Mathematics
2 answers:
Kaylis [27]2 years ago
7 0

Step-by-step explanation:

Use photo math in the AppStore

Vladimir [108]2 years ago
6 0

Answer: y=1/4x-6

Step-by-step explanation:

The slope formula is y=mx+b

M- represents the rise over run.

B- represents where the line crosses over the y-axis.

So once you input the numbers you get 1/4 for m and -6 for b.

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Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

3 0
3 years ago
HELP... <br> Find the Product<br> -8b(2-5b)
IrinaVladis [17]

Answer:

-16b+40b^2

Step-by-step explanation:

-8b*2=-16b

(-8b)(-5b)=40b^2

3 0
3 years ago
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Alex73 [517]
As a fraction,
35/42, simplified, 5/6
answer=5/6
hope this helps....
4 0
3 years ago
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Please Help! Which statement best demonstrates why the following is a non-example of a polynomial?
Mama L [17]
I agree with you on this problem. It is A. If that is the final answer, the negative exponent must be flipped in order to be positive. According to the equation, it is not positive so it is not a simpflied polynomial.
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A cylinder has a volume of 308 cubic inches and a height of 8 inches.What is the radius of the cylinder?Usr 3.14 for pie round t
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Answer: 3.5 inches

Step-by-step explanation:

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