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dalvyx [7]
2 years ago
8

Which equation represents a parabola with a vertex at (7,-3)

Mathematics
1 answer:
Agata [3.3K]2 years ago
8 0

Answer:

See Below

Step-by-step explanation:

y = a (x-7)^2 -3       where 'a'  is any number except 0

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What is the slope that passes through the points : (-2,9) and (4,-7)
Westkost [7]

Use the slope formula below:

\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

The m-term represents the slope.

The formula is the changes of two y-points over the changes of two x-points. We are given two points. Substitute both points in the formula.

\large{m =  \frac{9 - ( - 7)}{ - 2 - 4} } \\  \large{m =  \frac{9 + 7}{ - 6}  \longrightarrow  \frac{16}{ - 6} } \\  \large{m =  \frac{8}{ -3 }  \longrightarrow  -  \frac{8}{3} }

Therefore the slope is -8/3

Answer

  • the slope is -8/3

Hope this helps! Let me know if you have any doubts.

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PLEASE HELP ASAP!:<br><br> Solve for a and b<br> 6a-b=-5<br> 4a-3b = -8
klemol [59]

Answer:

a = -1/2

b = 2

Step-by-step explanation:

Step 1: Rewrite 1st equation

-b = -5 - 6a

b = 5 + 6a

Step 2: Substitution

4a - 3(5 + 6a) = -8

Step 3: Solve

4a - 15 - 18a = -8

-14a - 15 = -8

-14a = 7

a = -1/2

Step 4: Plug in <em>a</em> to find <em>b</em>

6(-1/2) - b = -5

-3 - b = -5

-b = -2

b = 2

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X and y are proportional with d and f
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