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krek1111 [17]
3 years ago
5

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

Mathematics
1 answer:
Paul [167]3 years ago
3 0

Answer: True

Solution:

Rearrange the equation to the LHS:

[x^2 + 8x + 16] · [x^2 – 8x + 16] - (x^2 – 16)^2 = 0

Factoring  x^2+8x+16

x^2 - 4x - 4x - 16

= (x-4)  •  (x-4)

= = (x+4)2

So now we have an equation

(x + 4)^2 • (x - 4)^2 -  (x^2 - 16)^2  = 0

Step 2: Evaluate the following:

(x+4)2   =    x^2+8x+16

(x-4)2   =    x^2-8x+16  

(x^2-16)2   =    x^4-32x^2+256

(x^2+8x+16)  (x^2-8x+16  ) -  (x^4-32x^2+256 )

0 = 0

Hence True

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Which expression could NOT be used to find the number of square pieces
LenaWriter [7]
The answer is b because you have to count the squares
5 0
3 years ago
How do I write an equation with two points on the same line? (15,17) and (20,24) are on the same line. Write the equation of the
Reil [10]

Step-by-step explanation:

First, find the slope between the points.

m = (y₂ − y₁) / (x₂ − x₁)

m = (24 − 17) / (20 − 15)

m = 7/5

Next, write the equation in point-slope form, using either of the points.

y − 17 = 7/5 (x − 15)

If desired, simplify.

y − 17 = 7/5 x − 21

y = 7/5 x − 4

5 0
3 years ago
Pls help asap or else my parents will kill me eeeeeasy and explian for brainleest .
gtnhenbr [62]

Answer:

Step-by-step explanation:

I'm assuming that your "70=50x what is xx" actually means "find x if 70-50x = 0"  If that's not what you meant, please retype your question.

Dividing both sides by -50 results in -70/50 + x = 0, and adding 70/50 to both sides results in x = 70/50, or 7/5.

Only if my assumptions are correct:  x = 7/5.

3 0
3 years ago
For a school fund raising project, Aiden and Jacob collected money in the ratio of 3.5 : 6.8. Jacob collected $115.50 more than
user100 [1]
X - the amount of money collected by Aiden
y - the amount of money collected by Jacob

Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
\frac{x}{y}=\frac{3.5}{6.8} \\
6.8x=3.5y \\
x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y

Jacob collected $115.50 more than Aiden.
x+115.5=y \\
x=y-115.5 \\ \\
x=x \\
\frac{35}{68}y=y-115.5 \\
\frac{35}{68}y-y=-115.5 \\
\frac{35}{68}y-\frac{68}{68}y=-115.5 \\
-\frac{33}{68}y=-115.5 \\
y=-115.5 \times (-\frac{68}{33}) \\
y=238 \\ \\
x=y-115.5=238-115.5=122.5 \\ \\
x+y=238+122.5=360.5

The total amount of money they collected is $360.50.
6 0
3 years ago
Are -4 ( x - 6) and -4 • x - 4 • 6 equivalent
tekilochka [14]

Answer:

 no

Step-by-step explanation:

Lets solve the first half.

-4 ( x - 6) = -4x + 24

Second one:

-4 times x - 4 times  6 = -4x -24

Now compare.....Not the same right??

So your answer is:  no

Hope this helps :)

7 0
3 years ago
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