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2 years ago

Write an algebraic expression that represents the following phrase: The product of 8 and 12

Mathematics

1 answer:

Ainat [17]2 years ago

6 0

Answer:

$8*12$

Step-by-step explanation:

First, the problem asks for an expression; this means that there should be no equal sign. Also, the keyword "product" means that both the terms must be multiplied. So, $8*12$ is the final expression; this equals 96.

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Murrr4er [49]

Answer:

YAS!!

Step-by-step explanation:

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5 0

2 years ago

Given h(x) = 5x + 2, solve for 2 when h(x) = -8.

san4es73 [151]

Answer:

$\huge\boxed{\sf x = -2}$

Step-by-step explanation:

$\sf h(x) = 5x+2\\\\Put \ h(x) = -8\\\\-8 = 5x+2\\\\Subtract \ 2 \ to \ both \ sides\\\\-8-2 = 5x\\\\-10 = 5x\\\\Divide\ both \ sides \ by \ 5\\\\-10 / 5 = x \\\\x = -2 \\\\\rule[225]{225}{2}$

Hope this helped!

8 0

2 years ago

If x1 and x2 are the roots of the equation x^2 +5x-3=0, determine the value of x1^2 + x2^2. I know that I have to use vietas for

Arturiano [62]

Answer:

Step-by-step explanation:

Given

x² + 5x - 3 = 0

with a = 1, b = 5, c= - 3 , then

sum of roots x₁ + x₂ = - $\frac{b}{a}$ = - $\frac{5}{1}$ = - 5

product of roots = $\frac{c}{a}$ = $\frac{-3}{1}$ = - 3

Now

(x₁ + x₂)² = x₁² + 2x₁x₂ + x₂² , that is

(- 5)² = x₁² + 2(- 3) + x₂²

25 = x₁² - 6 + x₂² ( add 6 to both sides ), then

x₁² + x₂² = 31

5 0

2 years ago

Use the diagrams at the right to find the trigonometric ratio

zzz [600]

Hi, It is simple:

Sin(A) = a / c

Cos(A) = b / c

Tan(B) = b / a

Sin(J) = j / i

Cos(K) = j / i

Tan(K) = k / j

This are the answers

8 0

2 years ago

The ellipse 14x2+2x+y2=114x2+2x+y2=1 has its center at the point (b,c)(b,c) where

Nana76 [90]

18x^2 + 2x + y^2 = 1
==> 18(x^2 + x/9) + y^2 = 1 
==> 18(x^2 + x/9 + 1/324) + y^2 = 1 + 1/18 
==> 18(x + 1/18)^2 + y^2 = 19/18 
==> (x + 1/18)^2/19 + (y - 0)^2/(19/18) = 1. 

By comparing this to the standard form of an ellipse, the center is at (-1/18, 0).

6 0

3 years ago