Step-by-step explanation:
By using Distributive Property on 3(-x - 2),
3(-x - 2) = (3)(-x) + (3)(-2) = -3x - 6.
Since -3x - 6 =/= -3x + 6,
they are not equalized.
Answer: Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+2*x+1-(2*x-x+21)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
5x - 20 = 5 • (x - 4)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
One solution was found :
x = 4
Answer:
9:19
Step-by-step explanation:
Total number of students = 28
Number of boys = 19
Number of girls = Total number of students - Number of boys = 28-19 = 9
Therefore, ratio of girls to boys = Number of girls/Number of boys = 9/19 = 9:19
Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
