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3 years ago

12

Hi Brainly users! I have an 8th grade math problem for you. 15 points plus Brainiest for the person with the most helpful answer

!
Please view the screenshot of my question........

1 answer:

RUDIKE [14]3 years ago

6 0

Answer:

The answer is D. 14

Step-by-step explanation:

If you were to plug in 14 for x, it would look something like this:

$\frac{14-4}{14}$ = $\frac{5}{7}$

Solve 14-4

$\frac{10\\}{14}$ = $\frac{5}{7}$

if you were to multiply 5 and 7 by 2, you would get

$\frac{10}{14}$ .

This makes the equation true, because

10/14 does equal itself (10/14)

Have a nice day!

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Tina earned $300. This amount represented 40% of the money she needed to pay for her senior trip. What is the cost of the senior

ludmilkaskok [199]

Answer:

she needed $480 to pay for her trip

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3 years ago

(a) Find the equation of the normal to the hyperbola x = 4t, y = 4/t at the point (8,2).

gtnhenbr [62]

The slope of the tangent line to the curve at (8, 2) is given by the derivative $\frac{dy}{dx}$ at that point. By the chain rule,

$\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}$

Differentiate the given parametric equations with respect to $t$ :

$x = 4t \implies \dfrac{dx}{dt} = 4$

$y = \dfrac4t \implies \dfrac{dy}{dt} = -\dfrac4{t^2}$

Then

$\dfrac{dy}{dx} = \dfrac{-\frac4{t^2}}4 = -\dfrac1{t^2}$

We have $x=8$ and $y=2$ when $t=2$ , so the slope at the given point is $\frac{dy}{dx} = -\frac14$ .

The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation

$y - 2 = 4 (x - 8) \implies \boxed{y = 4x - 30}$

Alternatively, we can eliminate the parameter and express $y$ explicitly in terms of $x$ :

$x = 4t \implies t = \dfrac x4 \implies y = \dfrac4t = \dfrac4{\frac x4} = \dfrac{16}x$

Then the slope of the tangent line is

$\dfrac{dy}{dx} = -\dfrac{16}{x^2}$

At $x = 8$ , the slope is again $-\frac{16}{64}=-\frac14$ , so the normal has slope +4, and so on.

5 0

1 year ago

Every day, Katie looks for seashells on the beach. She has 28 shells in her collection. Katie finds 12 more shells each day. Wri

Mashcka [7]

100<28+12d

If she wants to collect over 100 then the 100 would be less than (<) what she collects. She is starting with 28 so whatever she collects is added on. Because she collects 12 a day, you would multiply 12 by however many days, d, she collects.

8 0

3 years ago

Read 2 more answers

Reduce to simplest form.<br> -5/8+(-8/5)=?

lara31 [8.8K]

Answer:

$-2\frac{9}{40}$

Step-by-step explanation:

$-\frac{5}{8}+(-\frac{8}{5}) = -\frac{25}{40}-\frac{64}{40}$ (find common denominator)

$=-\frac{89}{40}$

$=-2\frac{9}{40}$ (reduce to simplest form)

Hope this helps :)

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3 years ago

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Step-by-step explanation:

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2 years ago