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chubhunter [2.5K]
3 years ago
15

Simplify the exoression (x^3-5x^2+7x-12)÷(x-4)​

Mathematics
1 answer:
kiruha [24]3 years ago
4 0

Answer:

x^2-x+3

Step-by-step explanation:

You factor it out which would then make it

(x-4)(x^2-x+3)/x-4

Then you cancel out the common factor, x-4

which leaves you with x^2-x+3

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The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of 2 2 . what is the measure of the angle
creativ13 [48]
The correct question is
The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of √<span>2/2 . 
What is the measure of the angle? 

Let
</span>∅--------> the angle
cos ∅=√2/2<span>
cos </span>∅=[distance of one of the leg/hypotenuse]
[distance of one of the leg/hypotenuse]=√2/2

<span>I could say that
</span>distance of one of the leg=√2
and 
hypotenuse=2
so
<span>applying the Pythagorean theorem
</span>c=hypotenuse=2
a=√2
b=?
c²=a²+b²-------> b²=c²-a²------> b²=2²-(√2)²-----> b²=2-----> b=√2

therefore
if a=b
then 
the angle ∅=45°

the answer is the option
<span>b.45 degrees</span>
7 0
4 years ago
2x + y = -4<br> x + 4y = 12<br> Solve both for y
geniusboy [140]

Answer: y=−6x

Step-by-step explanation: Add -2x to both sides.

7 0
3 years ago
Solve the following equation for y: 35x - 7y = 49, what is the slope?
agasfer [191]

Answer:

y = 5x - 7

slope = 5

Step-by-step explanation:

35x - 7y = 49

Subtract 35x from both sides.

-7y = -35x + 49

Divide both sides by -7.

y = 5x - 7

The equation is now in the slope-intercept form, y = mx + b, where m is the slope.

slope = m = 5

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3 years ago
It costs $6.45 to buy 5 songs on I-tunes. How much does it cost to buy 20 songs?
babunello [35]

Answer:$25.80

Step-by-step explanation:

6.45/5 = 1.29

1.29 x 20 =25.80

5 0
2 years ago
PLS HELP!! According to the following diagram, which two options form a pair of opposite rays?
zzz [600]

Ello there mate hows it going? I have done geometry and parlinguals along with alegbra! I am certified as a college professor and am willing to help ya!

PLEASE THANK ME RATE MY QUESTION 5 STARS AND MARK ME BRAINLIEST for my extrodinary and overly qualified help!

A,C

yours,

a soon to be brainliest

8 0
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