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Oduvanchick [21]
2 years ago
14

Graph the line of the equation 8x/5 - 2y = -8 using its slope and y-intercept

Mathematics
1 answer:
satela [25.4K]2 years ago
5 0

Answer:

y=\frac{4}{5}x+4

Step-by-step explanation:

You'll need to get this equation in slope-intercept form by solving for y. I do a little extra here to get it in the correct form, but I think it's pretty clear. Let me know if I need to clarify.

\\\\\frac{8x}{5}-2y=-8\\\\-2y=-\frac{8x}{5}-8\\\\2y=\frac{8x}{5}+8\\\\y=\frac{4}{5}x+4

Once it's in slope-intercept form, both the slope and the y-intercept are readily available so you can easily graph it. I graphed both of them in the attached image so you can see that they are the same line.

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3. Solve the inequality –2(z + 5) + 20 > 6.
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\boxed{-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z

<em><u>Solution:</u></em>

<em><u>Given inequality is:</u></em>

-2(z+5)+20>6

We have to solve the given inequality

-2\left(z+5\right)+20>6\\\\\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\\\-2\left(z+5\right)+20-20>6-20\\\\\mathrm{Simplify}\\\\-2\left(z+5\right)>-14

Multiply\ both\ sides\ by\ -1\ \left(reverse\:the\:inequality\right)

Whenever we multiply or divide an inequality by a negative number, we must flip the inequality sign

\left(-2\left(z+5\right)\right)\left(-1\right)

<em><u>Thus the solution to inequality is:</u></em>

-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z

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3 years ago
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vagabundo [1.1K]
Its absolute value so the negative on the inside would change to positive, so the answer would remain -7 and 3/5. same with the other one, except you multiply the 3 to the -1, making it -3
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Step-by-step explanation:

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drek231 [11]

Answer:

a:c = 35:24

a:c = 20:27

a:c = 35:22

a:c = 28:27

Step-by-step explanation:

a:b = 7:3

Using cross products

3a = 7b

Divide by 7

3a/7 = b

Now we want

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Substitute in 3a/7 for b

8 (3a/7) = 5c

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Substitute in 14c/3 for b

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Divide by c

27 a/c = 28

Divide by 27

a/c = 28/27

a:c = 28:27

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