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Sophie [7]
3 years ago
7

Write the equation in slope-intercept form (y = mx + b).

Mathematics
1 answer:
Fofino [41]3 years ago
4 0

y=mx+b

3x+4y=8

move 3x to the other side

sign changes from +3x to -3x

3x-3x+4y=-3x+8

4y=-3x+8

divide both sides by 4 to get y by itself

4y/4=-3x/4+8/4

y=-3x/4+2

y=-3/4x+2

answer:

-3/4x+2

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In the diagram shown, m 1= 50 and m2 = (2x-20)
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Answer:

x = 35

Step-by-step explanation:

Since m1=m2 :

2x - 20 = 50 \\ 2x = 70 \\ x = 35

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2 years ago
If -4/3y=-3/4, then y =?
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y=-3/4 ÷ -4/3

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The image of (-9,-4) after a reflection over the y-axis?
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Answer:

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Step-by-step explanation:

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The perimeter of the following figure consists of ___ line segment(s) and one semicircle.
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Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66
Ipatiy [6.2K]

Answer:

Summation notation is:

\sum_{n=1}^{16}[5(x-1)-9]

If you prefer it a little more simplified:

\sum_{n=1}^{16}(5x-14)

Step-by-step explanation:

First my favorite part, finding a pattern between the consecutive terms.

This is an arithmetic series because the terms are going up by 5 each time.

So arithmetic sequence, think linear equations:

x     |      y

1            -9

2           -4

3             1

4             6

..................

n             66

We are going to have to find that n but will will eventually...

The equation for a line in point slope form is y-y_1=m(x_x_1) where (x_1,y_1) is a point on the line and m is the slope.

We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).

I'm going to use the first point (1,-9).

So the equation in point slope form is y-(-9)=5(x-1)

Subtract 9 on both sides:

y=5(x-1)-9

Now we need to know how many terms we are adding so what is x if y=66.

66=5(x-1)-9

Add 9 on both sides:

75=5(x-1)

Divide both sides by 5:

15=x-1

Add 1 on both sides:

16=x

We have 16 terms in this sequence where the 16th term is 66.

Summation notation is:

\sum_{n=1}^{16}[5(x-1)-9]

You could simplify the 5(x-1)-9.

Distribute:  5x-5-9

Add like terms:  5x-14

3 0
3 years ago
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