Answer:

Step-by-step explanation:

Subtract 2 from both sides

mutliply both sides by -4, flip the inequality

Add 2x on both sideds

Subtract 8 from both sides

Divide both sides by 6

Answer:
Step-by-step explanation:
y = 3x + 2
Slope m = 3
slope of the line perpendicular to this line = -3
Point (3,5)
y- y1 = m(x-x1)
y - 5 = -3(x-3)
y - 5 = -3*x-3 * -3
y - 5 = -3x + 9
y = -3x + 9 +5
y = -3x + 14
Answer:
A
Step-by-step explanation:
Given
x² - 13x + 30
Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 13)
The factors are - 3 and - 10, since
- 3 × - 10 = + 30 and - 3 - 10 = - 13 , thus
x² - 13x + 30 = (x - 3)(x - 10) ← in factored form
Thus (x - 3) is a factor of the polynomial → A
Answer:
The equation is 
The value of x is 28 cookies
Step-by-step explanation:
Let
x ----> the number of cookies she baked last week
we know that
The number of cookies she baked last week multiplied by 3 minus 4 must be equal to 80 cookies
so
The linear equation that represent this situation is

solve for x

The area of a square is 144 cm^2. The measurement of each side is 12 cm
<u>Solution:</u>
Given, The area of a square is 144 
We have to find that what is the measurement of each side.
Now, we know that, area of a square = product of side value with another side value.
Let the side value of given square be "s"
Then, <em>Area of square is given as:</em>

On cancelling square root and square on right side,we get
s = 12
Hence, the side value of the square is 12 cm.