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3 years ago

Which of the following equations is of a parabola with a vertex at (1, -2)?

1 answer:

8 0

The general eaquation of a parabola in terms of its vertex is:

y = a(x - h)^2 + k

where the vertex point is (h, k)

therefore, an equation of a parabola with vertex (1, -2) is:

y = 5(x - 1)^2 - 2

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Which expresión represents, five times the quotient of two numbers?

MAXImum [283]

Let the numbers be m and n. Then "<span>five times the quotient of two numbers" would be 5m/n.

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6 0

4 years ago

Write the equation of the line perpendicular to 4x – 5y = -10 through the point (2, 3). explain please

Snezhnost [94]

Answer:

y =-5/4x +11/2

Step-by-step explanation:

First we need to find the slope of the line

4x-5y = 10

Solve for y

Subtract 4x from each side

4x-4x-5y =-4x-10

-5y = -4x-10

Divide by -5

-5y/-5 = -4x/-5 -10/-5

y = 4/5x +2

The slope is 4/5

The slope of a line that is perpendicular is the negative reciprocal

m perpendicular = - (5/4)

We know have a slope = -5/4 and a point (2,3)

We can use the point slope form of a line

y-y1 = m(x-x1)

y-3 = -5/4 (x-2)

Distribute

y-3 =-5/4x +10/4

Add 3 to each side

y-3+3 = -5/4 x +5/2 +3

Get a common denominator

y = -5/4x +5/2 +6/2

y =-5/4x +11/2

3 0

3 years ago

Mr. Gill is draining his pool. The pump he is using changes the water level by −2 1/4 inches per hour. A stronger pump would dra

professor190 [17]

Answer:

-5.625 in/hour

Step-by-step explanation:

−2 1/4 * 2 1/2 = -5.625 in/hour

7 0

3 years ago

How do you get the answer

lilavasa [31]

Answer:

(x + 2)(x - 4)

Step-by-step explanation:

Given the zeros of a function, say x = a and x = b, then

the factors are (x - a) and (x - b)

From the graph

The zeros are x = - 2 and x = 4, thus the factors are

(x - (- 2)) and (x - 4), that is (x + 2) and (x - 4)

7 0

3 years ago

1. The diagram shows a semicircle OABC. If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) the length

Semenov [28]

Step-by-step explanation:

— If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) ... the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A .

4 0

3 years ago