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2 years ago

What is (2v+5)(2v-5)

Mathematics

1 answer:

DedPeter [7]2 years ago

3 0

Answer:

4v^2-25

Step-by-step explanation:

(2v+5)(2v-5)

Using (a-b)(a+b)=a^2-b^2, simplify the product

(2v)^2-5^2

To raise a <u>product to a power</u>, raise each factor to that power.

4v^2-5^2

Evaluate the <u>power.</u>

4v^2-25

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What is the following is the solution to the equation 25^(z+2) = 125

maksim [4K]

First, rewrite the equation $25^{z+2} = 125$ with the base equal to 5. Note that:

$25=5^2;$
$125=5^3;$
$25^{z+2}=(5^2)^{z+2}=5^{2\cdot (z+2)}.$

Then

$5^{2\cdot (z+2)}=5^3.$

Since the bases are equal, you have that powers are equal too:

$2\cdot (z+2)=3,\\ \\2z+4=3,\\ \\2z=3-4,\\ \\2z=-1,\\ \\z=-\dfrac{1}{2}.$

Answer: $z=-\dfrac{1}{2}.$

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3 years ago

A cube with edges that measure 10 centimeters has a volume that is twice as much as a cube with sides that measure 5 centimeters

rodikova [14]

Answer:

False

Step-by-step explanation:

We find the volumes of the two cubes and compare them.

volume of cube = side^3

The volume of the 10-cm cube is:

V = (10 cm)^3 = 1000 cm^3

The volume of the 5-cm cube is:

V = (5 cm)^3 = 125 cm^3

1000/125 = 8

The volume of the 10-cm cube is 8 times the volume of the 5-cm cube.

The statement is false.

7 0

2 years ago

An architect builds a scale model of a building, where 1 cm = 0.5 m. If the scale model is 15 cm tall, how tall will the actual

olganol [36]

Answer:

The actual building will be 7.5 m tall

Step-by-step explanation:

Given the scale model value of the building, we want to find the actual height of the building

From the scale model;

1 cm = 0.5m

Thus 15 cm will be 15 * 0.5 = 7.5 m

7 0

2 years ago

you spend $90 on books and movies. You pay $12 per book and $15 pr movie. YOu buy 3 more books than movies. How many of each ite

Leya [2.2K]

You bought 5 books for $60 and 2 movies for $30

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2 years ago

Which side is adjacent to

Akimi4 [234]

Answer:

Answer is on the pic

Step-by-step explanation:

I hope it's helpful!

4 0

2 years ago