Answer:
y = -1/2x - 4
Step-by-step explanation:
First we wanna convert x + 2y = 14 into a slope-intercept equation.
x + 2y = 14
2y = 14 - x
y = 7 - x/2 or y = -1/2x + 7
Now that we have the line in slope-intercept form, we can solve for a line that is parallel to.
But first, what do parallel lines have in common? Parallel lines never intersect first of all and second they have the same slope so meaning we’re going to use -1/2 in order to find the equation of a parallel line so…
y = -1/2x + b
use the given point in the question
0 = -1/2(-8) + b
0 = 4 + b
b = 0 - 4
b = -4
The y-intercept of the line is -4
The equation of the line that passes through the point (-8, 0) and is parallel to the line x + 2y = 14 is y = -1/2x - 4
Answer: Mom = 33 Son = 11
Step-by-step explanation:
A mother is three times as old as her son
Mom age =3x
AFTER 11 YEARS:
Son’s age =x+11
Mom’s age =3x+11
Also, she will be just twice his age
3x+11 = 2*(x+11)
or,3x+ 11 = 2x +22
or,3x-2x= 22–11
or, x=11
Son’s age = 11 years and mom’s age = 33 years
Answer:
x=-10/3
Step-by-step explanation:
(2x+4)=-4(-2x-6)
distribute -4 to (-2x-6) by multiplying
negative multiplied by a negative is a positive
8x+24=2x+4
subtract 24 from each side
8x=2x-20
subtract 2x from each side 6x=-20
divide both sides by 6
-20/6
simply to -10/3 or -3 1/3 or -3.3
x=-10/3
hope this helps! if you have any questions please ask!
People who cook, either professionally or for personal use, use simple algebraic expressions to adjust the ingredients in a dish depending on the number of servings desired. Medical professionals use algebra in a variety of applications, such as determining drug dosage and measuring the performance of body functions, such as cardiac output.
<span>3x</span>² <span>- 8x -3 = 3x</span>² - 9x + x - 3 =
= 3x² - 9x + x - 3 = 3x* ( x - 3) + 1* (x - 3) =
= 3x * (x - 3) + 1 * (x - 3) = (3x + 1) (x - 3)
Answer (3x + 1) (x - 3)
