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3 years ago

Please help! Brainliest! How are the functions y = 2x2 and y = 2x2 + 7 related? How are their graphs related?

Mathematics

1 answer:

Leona [35]3 years ago

5 0

It’s should be B. The graphs will be identical in shape but the second one will be shifted up 7 units

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To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equati

murzikaleks [220]

Answer:

$x-4y+4=0$

$f(x)=\sqrt x$ and x=4

Step-by-step explanation:

We are given that a curve

$y=\sqrt x$

We have to find the equation of tangent at point (4,2) on the given curve.

Let y=f(x)

Differentiate w.r.t x

$f'(x)=\frac{dy}{dx}=\frac{1}{2\sqrt x}$

By using the formula $\frac{d(\sqrt x)}{dx}=\frac{1}{2\sqrt x}$

Substitute x=4

Slope of tangent

$m=f'(x)=\frac{1}{2\sqrt 4}=\frac{1}{2\times 2}=\frac{1}{4}$

In given question

$m=\lim_{x\rightarrow a}\frac{f(x)-f(a)}{x-a}$

$\frac{1}{4}=\lim_{x\rightarrow 4}\frac{f(x)-f(4)}{x-4}$

By comparing we get a=4

Point-slope form

$y-y_1=m(x-x_1)$

Using the formula

The equation of tangent at point (4,2)

$y-2=\frac{1}{4}(x-4)$

$4y-8=x-4$

$x-4y-4+8=0$

$x-4y+4=0$

8 0

3 years ago

What is the volume of the cone?

WARRIOR [948]

Answer:

70/3 πcm

Step-by-step explanation:

hope this helps

8 0

2 years ago

Are these ratios equivalent? 12 friends : 15 strangers AND 6 friends : 14 strangers

meriva

Answer:

Step-by-step explanation:

12:15 can be simplified to 4:5

6:14 can be simplified to 3:7

These two are not equivalent to eachother

6 0

3 years ago

A rectangular pyramid measures three feet by four feet at the base, and has a height of seven feet. Find its volume. A. 21 ft3 B

sweet-ann [11.9K]

Answer:

C. 28 ft³

Step-by-step explanation:

The general formula for the volume of a pyramid:

V = $\frac{1}{3}Bh$ , where B = the area of the base and h = height of the pyramid

Since the base is a rectangle, we can find area using the formula:

A = l x w or A = 3 x 4 = 12 ft²

Using B = 12 and h = 7:

V = $\frac{(12)(7)}{3}$

V = 28 ft³

3 0

3 years ago

A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the b

zaharov [31]

The distance between the building and the ladder is 34.876 foot.

<h3>What is a Right Triangle?</h3>

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base / Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

To learn more about trigonometric functions from the given link

brainly.com/question/24336684

#SPJ4

8 0

2 years ago