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Wittaler [7]
3 years ago
15

What's the answer to this equation?

Mathematics
1 answer:
Serggg [28]3 years ago
5 0
The answer is 5b²/6c

Ok so you just have to simplify
15/18 = 5/6 (cause 3*5=15 and 3*6=18)

Then you do as the picture above says.

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Find the constant $a$ such that\[(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28.\]
Colt1911 [192]

The value of constant a is -5

Further explanation:

We will use the comparison of co-efficient method for finding the value of a

So,

Given

(x^2 - 3x + 4)(2x^2 +ax + 7)\\= x^2((2x^2 +ax + 7)-3x((2x^2 +ax + 7)+4(2x^2 +ax + 7)\\= 2x^4+ax^3+7x^2-6x^3-3ax^2-21x+8x^2+4ax+28\\Combining\ alike\ terms\\=2x^4+ax^3-6x^3+7x^2-3ax^2+8x^2-21x+4ax+28\\= 2x^4 +(a-6)x^3+(15-3a)x^2-(21-4a)x+28\\

As it is given that

(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28

In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x

Comparing coefficient of x^3

a-6 = -11\\a = -11+6\\a = -5

So the value of constant a is -5

Keywords: Polynomials, factorization

Learn more about factorization at:

  • brainly.com/question/1414350
  • brainly.com/question/1430645

#LearnwithBrainly

4 0
3 years ago
Find the missing side
Marrrta [24]

Answer:

x = 71.5 in

Step-by-step explanation:

Remember the SOHCAHTOA rule

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case, we use: CAH.

cos(52) = 44/x

x = 44/cos(52)

x = 71.5 inches

5 0
3 years ago
If you flip a coin and roll a six sided die what is the probability that you flip a heads and roll a five?
kvv77 [185]

Answer:

you have a 50-50% of landing heads and a 5 out 6 % chance of rolling a 5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I need help with number 10
Mama L [17]
Yes because the fractions denominator gets bigger the numerator gets smaller
3 0
4 years ago
Add <br> (x - 10) + (3x + 6)
Ipatiy [6.2K]

Answer:

your answer is 4x-4

your welcomeee

7 0
2 years ago
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