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3 years ago

Helppppp meeeeeeeee Explain how to evaluate

Mathematics

1 answer:

poizon [28]3 years ago

6 0

A variable is a letter, for example x, y or z, that represents an unspecified number.

6 + x = 12

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

You might be interested in

What is the answer to (-2)^3-2^3

ANEK [815]

Approaching algebraicly(Take 2 as x)
(-x)^3-x^3
Simplify
Result is -2x^3
Put back 2
-2(2)^3 = -2(8)
= -16

6 0

3 years ago

Cd has an endpoint at (2, -1) and a midpoint at (8, 3). which measure is closest to the length of cd

stepladder [879]

Answer:

4 $\sqrt{13}$

Step-by-step explanation:

The length of CD will be twice the distance from the midpoint to the endpoint

To calculate the length use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (8, 3)

d = 2 × $\sqrt{(8-2)^2+(3+1)^2}$

= 2 × $\sqrt{6^2+4^2}$

= 2 × $\sqrt{52}$

= 2 × $\sqrt{4(13)}$

= 2 × 2 $\sqrt{13}$ = 4 $\sqrt{13}$ ← exact length

8 0

3 years ago

Billie solved the equation below by completing the square, but she got the incorrect solution. In which step did Billie first ma

Tanzania [10]

Answer:

step 2

Step-by-step explanation:

we have

$x^{2} +10x-49=0$ ---> given problem

step 1

Move the constant to the right side

$x^{2} +10x=49$

the step 1 is correct

step 2

Complete the square

$x^{2} +10x+5^2=49+5^2$

$x^{2} +10x+5^2=74$

<u><em>The step 2 is not correct</em></u>

step 3

Rewrite as perfect squares

$(x+5)^{2}=74$

step 4

take square root both sides

$x+5=\pm\sqrt{74}$

step 5

Find the values of x

$x=-5\pm\sqrt{74}$

$x=-5+\sqrt{74}$

$x=-5-\sqrt{74}$

5 0

3 years ago

What is the factored form of 64g^3+8

vivado [14]

$\bf \textit{difference and sum of cubes}
\\\\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3 
\\\\
a^3-b^3 = (a-b)(a^2+ab+b^2)\qquad
(a-b)(a^2+ab+b^2)= a^3-b^3\\\\
-------------------------------\\\\
64g^3+8\implies 4^3g^3+8\implies (4g)^3+2^3
\\\\\\
(4g+2)[(4g)^2-(4g)(2)+2^2]\implies (4g+2)[(4^2g^2)-8g+4]
\\\\\\
(4g+2)(16g^2-8g+4)$

3 0

3 years ago

The quadratic function g(x) = ax^2 + bx + c has the complex roots (-5+9i) and (-5-9i). (you may assume that a = -1) what is the

gavmur [86]

Answer:

b = -10, c = -106

Step-by-step explanation:

<h3>Given</h3>

<u>Quadratic function </u>

g(x) = ax^2 + bx + c

with the roots:

(-5+9i) and (-5-9i)

b and c if a = -1

<h3>Solution</h3>

<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>

(-5 + 9i) + (-5 - 9i) = -b/-1
-10 = b
b = -10

And

(-5 + 9i)(-5 - 9i) = c/-1
(-5)² - (9i)² = -c
25 - 81(-1) = -c
- c = 25 + 81
- c = 106
c = -106

g(x) = -x² -10x - 106

4 0

3 years ago