All categories

3 years ago

How do you find the missing number of a perfect square trinomial? 25x^2 - 60x + ___

Mathematics

1 answer:

Harrizon [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Compare what you have to the square ...

(a +b)^2 = a^2 +2ab +b^2

Your "a" is √(25x^2) = 5x

Your "2ab" is -60x. Since you know "a", you can find "b".

2ab = -60x

2(5x)b = -60x . . . . . . . substitute for "a"

b = -60x/(10x) = -6

Then the missing term is b^2 = (-6)^2 = 36.

Your trinomial is ...

25x^2 -60x +36

You might be interested in

Solve the problem and enter your solution for the variable below. Do not include units in your answer. A student taking a math c

Kruka [31]

Answer:

12 problems

Step-by-step explanation:

72/6 is 12.

3 0

3 years ago

How do you write 982% as a fraction, mixed number, or whole number in simplest form?

koban [17]

I think one of the answers would be 9.82

8 0

3 years ago

Read 2 more answers

Suppose that LMN is isosceles with base LN suppose that M

ira [324]

Given:

In an isosceles triangle LMN, LM=MN.

$m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ$

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

$LM=MN$ (Given)

$m\angle N=m\angle L=(2x+36)^\circ$ (Base angles of an isosceles triangle are equal)

Now,

$m\angle L+m\angle M+m\angle N=180^\circ$

$(2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ$

$(7x+89)^\circ=180^\circ$

$(7x+89)=180$

On further simplification, we get

$7x=180-89$

$7x=91$

$x=\dfrac{91}{7}$

$x=13$

The value of x is 13. Using this value, we get

$m\angle L=(2(13)+36)^\circ$

$m\angle L=(26+36)^\circ$

$m\angle L=62^\circ$

Similarly,

$m\angle M=(3(13)+17)^\circ$

$m\angle M=(39+17)^\circ$

$m\angle M=56^\circ$

And,

$m\angle N=m\angle L$

$m\angle N=62^\circ$

Therefore, the measure of angles are $m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ$ .

5 0

3 years ago

What is the sum of the next to next two numbers in his sequence:1,4,9,16,25,___ ___ ?

k0ka [10]

Answer:

41, 66

Step-by-step explanation:

16+ 25 = 41

41 + 25 = 66

5 0

2 years ago

Read 2 more answers

8 more than a number

Anuta_ua [19.1K]

Answer:

$\boxed{ 8 + x}$

Step-by-step explanation:

Hey there!

In most cases "the number" would be x.

So if the statement says 8 "more than a number",

It is saying 8 plus x or 8 + x.

Hope this helps :)

3 0

3 years ago

Read 2 more answers