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3 years ago

Simplify -4x^5 - 42x^5

Mathematics

2 answers:

earnstyle [38]3 years ago

7 0

Answer:

3x - 5) • (9x + 1)

Step-by-step explanation:

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(33x2 - 42x) - 5

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 27x2-42x-5

The first term is, 27x2 its coefficient is 27 .

The middle term is, -42x its coefficient is -42 .

The last term, "the constant", is -5

Step-1 : Multiply the coefficient of the first term by the constant 27 • -5 = -135

Step-2 : Find two factors of -135 whose sum equals the coefficient of the middle term, which is -42 .

-135 + 1 = -134

-45 + 3 = -42 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -45 and 3

27x2 - 45x + 3x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

9x • (3x-5)

Add up the last 2 terms, pulling out common factors :

1 • (3x-5)

Step-5 : Add up the four terms of step 4 :

(9x+1) • (3x-5)

Which is the desired factorization

deff fn [24]3 years ago

5 0

Answer:

38x^5

Step-by-step explanation:

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PLEASE HELP

larisa [96]

Answer:

1.) not safe

2.)

$18 \sqrt{3}$

Step-by-step explanation:

1.) given the length of the ladder = 15ft.

and the height to the top of ladder when leaned against a wall is 14.8ft. This all forms a right triangle.

with what we are given we can solve for the angle it creates from the ground to the leaned ladder by using the SOHCAGTOA. Whike we do this keep in mind its not safe for a ladder to create an angle more than 70 degrees.

in this case if we are solving for the angle where the height is opposite we will use SOH. because we know the oposite and the hyp. Sin(theta) = opp/hyp

$\sin(theta) = \frac{14.8}{15}$

$sin^{ - 1} ( \frac{14.8}{15} ) = 81 \: degrees$

therefore not safe.

2.)

your givin 90 and 60. remember all interior angles add up to 180.

therefore 30 would be the unknown angle.

knowing that we use the <u>chart</u> at the top.

across from 30 is 6. so we put that by x. (remember we are doing this to find the height for our area of a triangle formula = base time height devide by 2.)