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3 years ago

Please help: Triangle ABC is similar to triangle PQR where

Mathematics

1 answer:

andre [41]3 years ago

6 0

Explanation:

AB=7
AC=9
You are looking for R

7+9=16

So R is 16

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If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

step(i)

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

Step(ii):-

we know that

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

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

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

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

Final answer:-

$\frac{dy}{dt} = 34( 3 ) = 102$

8 0

3 years ago

(-5q^2 + 6q + 7) - (-q^2 + 4q)

beks73 [17]

Steps to solve:

(-5q^2 + 6q + 7) - (-q^2 + 4q)

~Distribute the left side

-5q^2 + 6q + 7 + q^2 - 4q

~Combine like terms

-4q^2 + 2q + 7

Best of Luck!

5 0

3 years ago

Read 2 more answers

What is the area of a regular pentagon with a perimeter of 115cm?

shusha [124]

About 480.4 or 480.4262466 if you need the whole thing

3 0

3 years ago

Jack made $200 for working 40 hours. Saida made $242 for 44 hours of work. Are the pay rates proportional?

Serhud [2]

Answer:

No.

Step-by-step explanation:

If they are proportional, they equal each other.

We can use a proportion.

200/40 = 242/44

Simplify.

5 = 5.5

So they are not proportional.

3 0

3 years ago

How can you use Recipes B and D to create recipe E?

Artyom0805 [142]

1.) add
2.) and

If you look at the chart you can see when you add B and D it equals E, therefore your answer is add.

4 0

3 years ago