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3 years ago

Use the properties of exponents to rewrite the expression. (-3yz)(-3yz)(-3yz)(-3yz)

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

3 0

Answer:

Answer is 81y^4z^4

Step-by-step explanation:

The expression is (-3yz) (-3yz) (-3yz) (-3yz).

Since all the four terms have power 1:

(-3yz)^1 (-3yz)^1 (-3yz)^1 (-3yz)^1

We know that we can add the powers if the terms have same base

So,

=(-3yz)^1+1+1+1

=(-3yz)^4

=(-3)^4(y)^4(z)^4.

If the power is an even number than the negative sign changes into positive sign.

=3^4y^4z^4

=81y^4z^4

Thus the answer is 81y^4z^4....

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2n + 4n = 42<br><br> Answer: the value of n is .....

Gennadij [26K]

Answer:

Step-by-step explanation:

2n + 4n = 6n, adding like terms

6n = 42

6n/6 = 42/6

n = 7

5 0

3 years ago

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A pilot flew a 400 mile flight in 2.5 hours flying into the wind. Flying the same rate and with the same wind speed the return t

eduard

Answer: 20 mph

Explanation:

Speed is a physical quantity which is equal to the ratio between the distance covered (d) and the time taken (t):

$v=\frac{d}{t}$

In the first part of the problem, the plane flew a distance of d=400 mi in a time of t=2.5 h. The speed of the plane in this case was the difference between the proper speed of the plane, v, and the speed of the wind, w, since the plane flew opposite to the wind. So we can write:

$v-w=\frac{400mi}{2.5h}=160 mph$ (1)

During the return trip, the plane flew with a speed (v+w), since the wind was on the tail, and it took 2 hours to cover the same distance:

$v+w=\frac{400 mi}{2 h}=200 mph$ (2)

So we have two equations with two unknown variables. From (1), we get

$v=160+w$

Substituting into eq.(2)

$(160+w)+w=200\\160+2w=200\\2w=40\\w=20 mph$

So, the speed of the wind was 20 mph.

3 0

3 years ago

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Write the equation of a line that includes the point (22, 12) and

STatiana [176]

Let's start with y = 4x + b (since 4 is the slope);

We need to find what number should be put instead of b;

Then, let's see what needs to be done;

Plug in the y and x values from the coordinate (22,12) into y=4x+b;

12 = 4(22) + b

Solve;

12 = 88 + b

12 - 88 = b

b = -76

Remember the equation y = 4x + b? Put the -76 instead of b:

y = 4x + -76

or: y = 4x - 76

That is the equation.

To make it standard form, put x and y both in the left side, with x first then y:

-4x + y = -76

^^Answer!

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3 years ago

Fred and Sue want to fence in a rectangular area in their yard for a vegetable garden. Suppose that they have 30 feet of fencing

larisa [96]

Answer:

a=35x−x^2

Step-by-step explanation:

Having

70 ft of fencing with a

width of x

feet and knowing the perimeter of a rectangle is

p=2w+2l

we can state the length of the garden as:

70=2x+2l

and solving for l

we know the length with be:

2l=70−2x or l=35−x

And then knowing the formula for the area of a rectangle is

a=w⋅l

we can write the equation as:

a=x⋅(35−x)a=35x−x^2

6 0

3 years ago

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Ations with the Distributive Property<br> Solve the equation.<br> -3(y + 5)= 15

AlekseyPX

Y=-3 it is the answer.

6 0

3 years ago