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Viktor [21]
3 years ago
12

How do you Rewrite f(x) = −(x + 3)2 − 1 from vertex form to standard form?

Mathematics
1 answer:
wel3 years ago
5 0
Expand it

-(x+3)^2-1
-(x+3)(x+3)-1
-1(x^2+3x+3x+9)-1
-1(x^2+6x+9)-1
-x^2-9x-9-1
-x^2-9x-10

f(x)=-x^2-9x-10
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Find the area of the figure. Use 3.14 as π.
Karolina [17]

Answer: D. 94.25 in²

Step-by-step explanation:

To find the total area, we will break the shape up into two different parts.

[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.

      Area of a circle:

A = πr²

      Use 3.14 for pi:

A = (3.14)r²

      Find the radius:

d / 2 = r, 10 / 2 = 5 in

      Subsittue:

A = (3.14)(5)²

A = 78.5 in²

      Divide by 2 since it is only half:

78.5 in² / 2 = 39.25 in²

[] The triangle is 55 in².

      Area of a triangle:

A = b*h/2

A = 11 * 10 / 2

A = 110 / 2

A = 55 in²

[] Total area. We will add the two parts together.

55 in² + 39.25 in² = 94.25 in²

7 0
2 years ago
Read 2 more answers
4(x+6)≤−56 it says Solve the inequality.
vlabodo [156]

\tt \: 4(x + 6) \leqslant  - 56

Divide both sides of the inequality by 4

\sf \: x + 6 \leqslant  - 14

Move the constant to the right-hand side and change its sign

\bf \: x \leqslant  - 14 - 6

Calculate the difference

\rm \: x \leqslant  - 20

And we are done solving!!~

8 0
2 years ago
Read 2 more answers
Simplify the product -3x(x^2+3x-1)
stepladder [879]

Answer:

Hii, okay so the answer is, -3x^3-9x^2-1

Hope this helps!

Step-by-step explanation:

7 0
2 years ago
What is the reflection image of P(0, 0) after two reflections, first across x = 4 and then across y = -3?
jek_recluse [69]

Answer:

The reflection image of P(0, 0) after two reflections is (8,-6)

Step-by-step explanation:

step 1

Find the coordinates of point P after reflection across x=4

we know that

The distance from point P to the line x=4 is equal to 4 units

so

(0,0) -----> (4+4,0) ----> (8,0)

The reflection image of P is (8,0)

step 2

Find the coordinates of point (8,0) after reflection across y=-3

The distance from point (8,0) to the line y=-3 is equal to 3 units

so

(8,0) -----> (8,-3-3) ----> (8,-6)

3 0
3 years ago
What is the equation of the parabola, in vertex form, with vertex at (-2,-4) and
Arlecino [84]

Answer:

Step-by-step explanation:

The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation

(y-k)^2=4p(x-h) and h and k are the coordinates of the vertex. Filling in:

(y+4)^2=4(4)(x+2) which simplifies to

(y+4)^2=16(x+2) choice C

8 0
3 years ago
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