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Degger [83]
4 years ago
11

Help and thx for helping

Mathematics
1 answer:
pantera1 [17]4 years ago
7 0

"x" the bottom side and the top side


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Suppose a parabola has vertex (5,-3) and also passes through the point (6, 1). Write the equation of the parabola in vertex form
Alchen [17]

General form for vertex form is:

y = a(x - h)² + k

Where the vertex is the point (h, k). We know this to be (5, -3), so we can substitute the values for h and k to get:

y = a(x - 5)² - 3

We then also have another point (6, 1) that gives us an x and y. Substitute those in to leave one unknown which we can solve for:

1 = a(6 - 5)² - 3

1 = a(1)² - 3

1 = a(1) - 3

1 = a - 3

4 = a

So the equation of this parabola in vertex form is:

y = 4(x - 5)² - 3


can i have brainlist

7 0
3 years ago
4.. Please help. Is DE←→ perpendicular to FG←→? Why or why not?
olya-2409 [2.1K]

Given:

DE contains the points D(1, -2) and E(3, 4).

FG contains the points F(-1, 2) and G(4, 0).

To find:

Is DE perpendicular to FG.

Solution:

Slope of DE:

$m=\frac{y_2-y_1}{x_2-x_1}

Here x_1=1, y_1=-2, x_2=3, y_2=4

$m=\frac{4-(-2)}{3-1}

$m=\frac{6}{2}

m = 3

Slope of FG:

$m=\frac{y_2-y_1}{x_2-x_1}

Here x_1=-1, y_1=2, x_2=4, y_2=0

$m=\frac{0-2}{4-(-1)}

$m=\frac{-2}{4+1}

$m=\frac{-2}{5}

<em>Two lines are perpendicular if product their slopes are -1.</em>

Slope of DE × Slope of FG

         $=3\times \frac{-2}{5}

         $= \frac{-6}{5}

         ≠ -1

The solution is no, because the product of the slopes is not -1.

3 0
3 years ago
Read 2 more answers
A jacket's original price is $65.00. It on sale for 40% off. You have to pay 5% sales tax what is the final price for the jacket
ohaa [14]

Answer: $40.95

Step-by-step explanation:

65 times 40%=26

So 40% off is 26 dollars off

The price is $39

Then when you add the sales tax by  doing 39 times 5%, you see that the sale tax is $1.95

39+1.95= $40.95 for the jacket

3 0
3 years ago
Find the value of b in the graph of y=3x+b if it is known that the graph goes through the point: N(0,5)
tino4ka555 [31]

Answer:

I believe b is 5.

Step-by-step explanation:

When you place the points in the values, you get 5=3(0)+b. When you simplify it, you get 5=b. I really hope this is correct, I apologize if it isn't! I hope this helps! :)

4 0
4 years ago
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Why do you think rates are usually written as unit rates?
SVEN [57.7K]
Rates are usually unit rates since unit rates are only for one amount for example: $35/1 video game. Rates are also written like 35 dollars per video game. a problem would ask how much would it be for 6 video games
5 0
3 years ago
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