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3 years ago

NEED THE ANSWER ASAP, PLEASE HELP!! What are the coordinates of the focus of the parabola?

Mathematics

1 answer:

qwelly [4]3 years ago

8 0

Answer:

Vertex is (-8, 4) not one of the answers offered!

Step-by-step explanation:

Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.

$y=-\frac{1}{8}(x^2 + 16x + \text{-----})-4$

Complete the square by squaring half the coefficient of x and adding it in the space.

$(\frac{16}{2})^2=64$

Add 64 in the space you made, then compensate for that at the end of the expression by subtracting $-\frac{1}{8}(64)=-8$

$y=-\frac{1}{8}(x^2+16x+64)-4+8\\y=-\frac{1}{8}(x+8)^2+4$

The x-coordinate of the vertex is the opposite of +8, the number inside the parentheses. The y-coordinate of the vertex is the number at the end of the expression.

V(-8, 4)

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I need help please I would really appreciate it

Alchen [17]

Answer:

Your answer to the fig. would be 14cm^2.

Adding area of both rectangles,

(8+6) cm^2

= 14cm^2

Hope it helps!!

6 0

3 years ago

Read 2 more answers

P(n)=2n^2-6n find p(4)

Igoryamba

let's solve for p(4) :

$2 {n}^{2} - 6n$

$2 \times (4) {}^{2} - (6 \times 4)$

$(2 \times 16) - 24$

$32 - 24$

4 0

3 years ago

A retail shop is replacing their flooring with new tile. New tile will go in the point shaded area below. Determine the total sq

galben [10]

Answer:

137 ft²

Step-by-step explanation:

The shop is rectangular in shape. The area of a rectangle is given by:

Area = length * width

Since the length of the shop = 20 ft and the width = 10 ft, therefore:

Area of the shop = length * width = 20 ft * 10 ft = 200 ft²

The part that would not be tiled is of triangular shape. The area of a triangle is given as:

Area = (1/2) * base * height

The base of the triangle = 18 ft, the height = 7 ft. Hence:

Area of non tiled part = (1/2) * base * height = (1/2) * 18 ft * 7 ft = 63 ft²

The total square feet of tile needed to complete the job = Area of shop - Area of non tiled part

The total square feet of tile needed to complete the job = 200 ft² - 63 ft² = 137 ft²

8 0

3 years ago

Helwp please thank uuu!

Minchanka [31]

Step-by-step explanation:

<h3>Given,</h3>

GRAM is a parallelogram
m<GMA = 66°
m<GRP = 32°
m<PAM = 41°

<h3>Solutions:</h3>

i) Since,

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

<RGM + <GMA = 180°

=> <RGM = 180° - <GMA

=> <RGM = 180° - 66°

=> <RGM = 114° (Ans)

ii) Since,

Opposite angles of a diagonal as a transversal (here RM) are equal so,

<GRP = <PMA = 32°

As we have <GMA = 66° so,

=> <GMP = <GMA - <PMA

= 66° - 32°

=> <GMP = 34° (Ans)

iii) Since,

Opposite angles of a parallelogram are equal so,

<RGM = <RAM = 114°

As we have <PAM = 41° so,

=> <GAR = <RAM - <PAM

= 114° - 41°

=> <GAR = 73° (Ans)

iv) Since,

We got <PMA = 32° and <PAM = 41°, so by angle sum property of a triangle PMA,

=> <MPA = 180° - 32° - 41°

=> <MPA = 107° (Ans)

7 0

2 years ago

The expression(x 12) (y-13) (x-5) (y 4) is equivalent to xmxy. what is the value of n?

ANTONII [103]

Answer:

-9

Step-by-step explanation:

The applicable exponent rule is ...

a^b·a^c = a^(b+c)

___

For the y factor, ...

y^-13 · y^4 = y^(-13+4) = y^-9 . . . . . exponent of -9

3 0

3 years ago