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3 years ago

7+(-3)+(-5)-10how do i simplify

Mathematics

1 answer:

4vir4ik [10]3 years ago

8 0

Answer:

-11

Step-by-step explanation:

7 - 3 - 5 - 10

4 - 5 - 10

- 1 - 10

-11

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6 points

kodGreya [7K]

Answer:

$y=-2\,(x+3)^2-3$

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex $(x_v,y_v)$ in the expression:

$y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v$

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter $a$ :

$y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2$

So, now we can write the full expression for the parabola:

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3 years ago

Solve (x + 5)2 = 48.

natita [175]

Answer:

x = -5 ±4sqrt(3)

Step-by-step explanation:

(x + 5)^2 = 48

Take the square root of each side

sqrt((x + 5)^2) = ±sqrt(48)

x+5 = ±sqrt(16*3)

x+5 = ±4sqrt(3)

Subtract 5 from each side

x = -5 ±4sqrt(3)

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3 years ago

7+(-3)+(-5)-10how do i simplify ​

7+(-3)+(-5)-10how do i simplify