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kolbaska11 [484]
3 years ago
15

if the vertex of a parabola is (-4,6) and another point on the curve is (-3,14), what is the coefficient of the squared expressi

on in the parabola's equation?
Mathematics
1 answer:
Softa [21]3 years ago
3 0

Answer:

8

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, 6 ), thus

y = a(x + 4)² + 6

To find a substitute (- 3, 14) into the equation

14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )

8 = a

Thus the coefficient of the x² term is a = 8

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Which number is divisible by both three and nine?
horrorfan [7]

Answer:

765 is divisible by 3 and 9 I hope that this helps

Step-by-step explanation:

765÷9=85

765÷3=255

7 0
2 years ago
Tan(2 sin^-1 0.4)<br> Find the Exact value
stiv31 [10]

Answer:

tan(2u)=[4sqrt(21)]/[17]

Step-by-step explanation:

Let u=arcsin(0.4)

tan(2u)=sin(2u)/cos(2u)

tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]

If u=arcsin(0.4), then sin(u)=0.4

By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.

This also implies cos(u)=sqrt(0.84) since cosine is positive.

Plug in values:

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]

tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]

tan(2u)=[(40)(sqrt(0.84)]/[34]

tan(2u)=[(20)(sqrt(0.84)]/[17]

Note:

0.84=0.04(21)

So the principal square root of 0.04 is 0.2

Sqrt(0.84)=0.2sqrt(21).

tan(2u)=[(20)(0.2)(sqrt(21)]/[17]

tan(2u)=[(20)(2)sqrt(21)]/[170]

tan(2u)=[(2)(2)sqrt(21)]/[17]

tan(2u)=[4sqrt(21)]/[17]

7 0
3 years ago
Write an equation for this situation.
kirza4 [7]
Answer: A) y = 3x + 2

Step-by-Step Explanation:

Let ‘x’ be the number of months
Let ‘y’ be the total no. of books he read

Given:

He read 2 books before joining (+2)
He plans to read 3 books per month (3x)

Equation:

= Total no. of books = 3 multiplied by the no. of months + 2 books he had read

=> y = 3x + 2

3 0
2 years ago
Please help immediately
Mila [183]
Add all of the scores together which gives you

550+-1500+-2200+400+-600+-300

= -3650

Hope this helps! (:
5 0
3 years ago
Read 2 more answers
Anyone know the answer?
sdas [7]

Answer:

17

Step-by-step explanation:

14+3 it asked for total yards traveled

4 0
3 years ago
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