Answer: A. 4(8x + 2), and C. 32x + 8
Step-by-step explanation:
Put the equations together and if they have infinitely many solutions they'll both be equal to each other.
CORRECT 4(7x + 2 + x)=4(8x + 2)
7x+2+x=8x+2
8x+2=8x+2 (Infinitely Many Solutions)
CORRECT 4(7x + 2 + x)=32x+8
4(8x+2)=32x+8
32x+8=32x+8
32x+8=32x+8 (Infinitely Many Solutions)
INCORRECT 4(7x + 2 + x)=4(7x + 3)
8x+2=7x+3
8x=7x+1
8x−7x=1
x=1
INCORRECT 4(7x + 2 + x)=28x + 12
4(8x+2)=28x+12
32x+8=28x+12
32x=28x+4
32x−28x=4
4x=4
x=1
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)
- Cutiepatutie ☺❀❤
Answer:
-3
Step-by-step explanation:
The length of a segment is
sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)
sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)
sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)
Combine like terms
sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)
Square each side
( a-3)^2 + (2a -4) ^2) = 4 *(10)
FOIL the left side
a^2 -6a +9 + 4a^2 -16a +16 = 40
Combine like terms
5a^2 -22a +25 = 40
Subtract 40 from each side
5a^2 -22a -15 =0
Factor
(a - 5) (5 a + 3) = 0
Using the zero product property
a-5 =0 5a +3 = 0
a = 5 5a = -3
a=5 a = -3/5
The product of the terms is
5 * -3/5 = -3
3x + 14 = 143
3x = 129
X = 43
