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IRISSAK [1]
3 years ago
8

please help, this is an algebra 2 question :) I attached the problem in a photo - simplify the following expression

Mathematics
1 answer:
MrRa [10]3 years ago
7 0

Answer:

\frac{x^2+19x-56}{4x^2-32x}

Step-by-step explanation:

To add two fractions we need a common denominator. Just by looking at the two, there are no common factors. This means the denominator would be the product of the two: 4x(x-8). In order to obtain this, we multiply the first fraction by (x-8)/(x-8) - 1, and the second by 4x/4x - 1:

\frac{x+7}{4x} *\frac{x-8}{x-8} +\frac{5}{x-8}*\frac{4x}{4x}

We can use the distributive property to simplify:

\frac{x^2-x-56}{4x(x-8)} +\frac{20x}{4x(x-8)}

The sum of the two is:

\frac{x^2+19x-56}{4x^2-32x}

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Prove the identity.
Delvig [45]

Answer:

D. Pythagorean

Step-by-step explanation:

Given the identity

cos²x - sin²x = 2 cos²x - 1.

To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.

Starting from the left hand side

cos²x - sin²x ... 1

According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:

x = rcostheta

y = rsintheta

Substituting into the Pythagoras firnuka we have

(rcostheta)²+(rsintheta)² = r²

r²cos²theta+r²sin²theta = r²

r²(cos²theta+sin²theta) = r²

(cos²theta+sin²theta) = 1

sin²theta = 1 - cos²theta

sin²x = 1-cos²x ... 2

Substituting equation 2 into 1 we have;

= cos²x-(1-cos²x)

= cos²x-1+cos²x

= 2cos²x-1 (RHS)

This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM

5 0
4 years ago
A freight elevator is being loaded with identical 76-pound boxes. The elevator can carry no more than 2000 pounds. How many boxe
pishuonlain [190]
Take 2000 divide 76 =26.3 so the elevator can carry 26 boxes
4 0
4 years ago
Read 2 more answers
Can u please help me i dont get it please thank u soo much
Bumek [7]

12pm: -3° + 4° = 1°

7pm: 1° - 5° = -4°

the answer is C.

7 0
3 years ago
6= m - 7/8 HELLLLLLP
Oduvanchick [21]

Answer:

m =  6 7/8 or  55/8.

Step-by-step explanation:

6= m - 7/8

6 + 7/8 = m - 7/8 + 7/8

m =  6 7/8 or  55/8.

4 0
3 years ago
Which is bigger 7/8 or 3/4?
Kay [80]
7/8 because 3/4 = 6/8, and 7/8 is bigger than 6/8
8 0
3 years ago
Read 2 more answers
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