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3 years ago

Compute the following products. (4x+5)(4x−5) (4x+5)2

1 answer:

3 0

(4x+5)(4x-5) is equal to 16x^2+20x-20x-25
The positive and negative 20x cancel out
Leaving you with: 16x^2 - 25
[S/N this is a pattern that shows up a decent amount. Whenever you have something that looks like (x^2-y^2) it factors out to (x+y)(x-y). It might be helpful to remember]

The next one, (4x+5)2, just follows the distributive property. Multiply both components within the parentheses bye the coefficient of 2: 8x+10

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Find all values of k for which the function y=sin(kt) satisfies the differential equation y′′+16y=0. Separate your answers by co

VashaNatasha [74]

Answer: k = 4, k = -4 and k = 0.

Step-by-step explanation:

If we have y = sin(kt)

then:

y' = k*cos(kt)

y'' = -k^2*son(x).

then, if we have the relation:

y'' - y = 0

we can replace it by the things we derivated previously and get:

-k^2*sin(kt) + 16*sin(kt) = 0

we can divide by sin in both sides (for t ≠0 and k ≠0 because we can not divide by zero)

-k^2 + 16 = 0

the solutions are k = 4 and k = -4.

Now, we have another solution, but it is a trivial one that actually does not give any information, but for the diff equation:

-k^2*sin(kt) + 16*sin(kt) = 0

if we take k = 0, we have:

-0 + 0 = 0.

So the solutions are k = 4, k = -4 and k = 0.

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3 years ago

4x4 power of 2 divided by 8

rjkz [21]

Answer:

answer is equal to 8

Step-by-step explanation:

4×4 squared =64÷8=8

8 0

3 years ago

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BRAINLIST!!!! HELP!!!! PLEASE!!!!!!

poizon [28]

Answer:

For parallel I say ftL and irn and b im not sure I seriously think all of them connect in some way. hopefully this is some help.

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3 years ago

What is the distance between the penguins and the fish tanks?

astraxan [27]

Answer:

the distance between the penguins and the fish tanks is 81 ft

Step-by-step explanation:

Let A is the point of whales

Let B is the point of Sharks

Let D is the point of Dophines

Let P is the point of penguins

Let F is the point of Fish tank

From a look at the photo, we can find some special properties that:

AB//PF

In triangle ABD and DPF we have

∠BAD=∠PFD(Alternate angles)
∠ADB=∠PDF(Vertically opposite angles)

By AA rule, ABD and DPF are similar to each other

Therefore, using the similarity property, we have:

$\frac{AD}{DF}$ = $\frac{AB}{PF}$

$\frac{30}{45}=\frac{54}{x}\\x=\frac{54{\times}45}{30}\\x=81feet$

So the distance between the penguins and the fish tanks is 81 ft

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3 years ago

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Jane spent $6.70 on 24 pencils at the store. Her cost included $0.46 sales tax. How much did each pencil cost?

dusya [7]

Here yo go hope this helped.

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4 years ago