Ask question

Ask question

All categories

Ray Of Light [21]

2 years ago

13

Is the following expression true or false? Show your work.

1 answer:

SOVA2 [1]2 years ago

7 0

Answer:

The expression is true.

Explanation:

$(x^2+8x+16)(x^2-8x+16)=(x+4)^2(x-4)^2=((x+4)(x-4))^2$

We know that (a +b)(a-b) = a²-b²

So we have ,

$((x+4)(x-4))^2=(x^2-4^2)^2=(x^2-16)^2$

Which is Right Hand Side given.

So, the expression is true.

You might be interested in

Given that D, E, and F are the midpoints of their respective sides, which of the following is a true statement?

prisoha [69]

Answer:

e

Step-by-step explanation:

5 0

2 years ago

The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

2 years ago

What is 5/8 equal to

Zepler [3.9K]

Many fractions are equal. You can double both numbers to make a new fraction with the same properties, or times them both by 10 or more.
Examples of answers:
10/16
50/80
500/800 etc...

8 0

2 years ago

How many Mexican pesos can Leon buy with his dollars?

erik [133]

Multiply the amount per dollar offered by a bank, by the number of dollars you want to exchange it all depends on exchange rate they have it at.

6 0

3 years ago

What's 1 + 1<br><br> What's 1 + 1

miskamm [114]

Answer:

the awnser would be 2

Step-by-step explantion

u have 1 apple and get 1 from a friend and that adds up to 2

4 0

2 years ago

Read 2 more answers