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Colt1911 [192]
3 years ago
10

Multiply the polynomial (x-5)(x^2+4x-2)

Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0
I believe the answer is (x^3)-(x^2)-22x+10
scoundrel [369]3 years ago
7 0

Answer:

x³ - x² - 22x + 10

Step-by-step explanation:

Given

(x - 5)(x² + 4x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + 4x - 2) - 5(x² + 4x - 2) ← distribute both parenthesis

= x³ + 4x² - 2x - 5x² - 20x + 10 ← collect like terms

= x³ + (4x² - 5x²) + (- 2x - 20x) + 10

= x³ + (- x²) + (- 22x) + 10

= x³ - x² - 22x + 10

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The lengths of the sides of a triangle are 3, 3, 3√2. can the triangle be a right triangle? yes no
elixir [45]

The triangle can be a right triangle

<h3>How to determine the triangle type?</h3>

The side lengths are given as:

3, 3 and 3√2

If the triangle is a right triangle, then the following must be true

a^2 = b^2 + c^2

Where a is the longest side.

So, we have:

(3\sqrt 2)^2 = 3^2 + 3^2

Evaluate the expressions

18 = 18

Both sides of the equation are equal

Hence, the triangle can be a right triangle

Read more about right triangle at:

brainly.com/question/2437195

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3 0
2 years ago
Read 2 more answers
(5x+3) - (2x-6) i need help ? ToT
Savatey [412]

Answer:

3x + 9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

(5x + 3) - (2x - 6)

<u>Step 2: Simplify</u>

  1. Distribute negative:                    5x + 3 - 2x + 6
  2. Combine like terms (x):               3x + 3 + 6
  3. Combine like terms (Z):              3x + 9
4 0
3 years ago
Read 2 more answers
An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
ANSWER PLZ QUICK AND FAST WHAT
Marysya12 [62]

the answer is C

Use the distributive property

3 0
3 years ago
Read 2 more answers
How can you tell if 78 is divisible by 2 3 OR 6
noname [10]
If its an even number its divisible by 2 if you add the answer (7+8) and it equals a number (7+8=15) divisible by 3 then 78 is divisible by 3 and if it is divisible by both 2 and 3 then you know it is divisible by 6 but you have to be able to divide the number by BOTH 2 AND 3
4 0
3 years ago
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