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maks197457 [2]
3 years ago
8

Which of the following represents the factorization of the binomial below ? x^2 - 144

Mathematics
1 answer:
Dima020 [189]3 years ago
6 0

It factors to (x+12)(x-12)

This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7

I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)

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Find the equation of the line that is perpendicular to the line 4x+2y=1 and passes through the point (-4,3)
serious [3.7K]

First find the slope of the given line:

4x +2y = 1

Subtract 4x from each side:

2y = -4x + 1

Divide both sides by 2:

y = -2x +1/2

The slope is -2.

Now use the slope to find the y-intercept. Because  the line is perpendicular, you need to use the negative inverse of the slope.

The negative inverse of -2 is 1/2

Now using the point-slope form y - y1 = m(x-x1)

Use the inverse slope for m, and the given point(-4,3) to get:

y - 3 = 1/2(x+4)

Simplify:

y - 3 = x/2 +2

Add 3 to each side:

y = x/2 + 5

Reorder the terms to get y = 1/2x +5

The answer is D.

5 0
4 years ago
Answer like gauss 1+3+5+7+...=999
raketka [301]

1+3+5+7+...+999 =

= 1+2+3+4+...+500

     +1+2+3+...+499

= 2·(1+2+3+...+499) + 500

= 2·(499·500)/2 + 500

= 499·500 + 500

= 500·(499 + 1)

= 500·500

= 250.000

7 0
3 years ago
Convert the angle in degrees to radians. Express your answer as a multiple of π.
Elena L [17]
Converting 25 degrees to radians:

180° = π radians.

1° =  π/180  radians.

25° =  (π/180  radians) * 25

       =    (25/180) * π  radians.

Leaving the answer in terms of π,  25/180 = 5/36

=    (25/180) * π  radians = (5/36)π  radians  or ≈ 0.1389π radians.


Therefore 25° = (5/36)π  radians  or ≈ 0.1389π radians

I hope this explains it.

I think why you did not get it was because you did not leave your answer in terms of π or as a multiple of π, so as a multiple of π our answer is:

= (5/36)π  radians  or ≈ 0.1389π radians
5 0
4 years ago
If f(x) equals x/2+8 what is f(x) when x=10
Sphinxa [80]

Answer:

13

Step-by-step explanation:

Since we want to find f(x) when x equals 10, we can substitute 10 in for x

f(x)=x/2 +8

f(10)=10/2+8

Divide 10 by 2

f(10)=5+8

Add 5 and 8

f(10)=13

So, f(x) when x=10 is 13

4 0
3 years ago
Read 2 more answers
If avb has a measure of 70 and is its angle bisector, what is the measure of avm?
Sedbober [7]
the correct question is
<span>If angle AVB has measure of 70 degrees and line VM is its angle bisector, what is the measure of angle AVM?

we know that
the angle bisector </span><span>divide into two equal parts
so
T</span>he measure of angle AVM is 70/2 = 35 degree.

the answer is
35°
4 0
3 years ago
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