Answer:
x=7
Step-by-step explanation:
4(x-8)= -2(x-5)
4x+32= -2x+10
+2x +2x
6x-32=10
+32 +32
6x= 42
divide by 6 on both sides
x=7
Answer:
x = (5 + sqrt(73))/8 or x = (5 - sqrt(73))/8
Step-by-step explanation:
Solve for x over the real numbers:
4 x^2 - 5 x = 3
Subtract 3 from both sides:
4 x^2 - 5 x - 3 = 0
x = (5 ± sqrt((-5)^2 - 4×4 (-3)))/(2×4) = (5 ± sqrt(25 + 48))/8 = (5 ± sqrt(73))/8:
Answer: x = (5 + sqrt(73))/8 or x = (5 - sqrt(73))/8
Step-by-step explanation:
2: Distributive property (the -2/3 was distributed to (x+12) )
3:combine like terms (the -2/3x was combined with +1/3x)
4:addition property of equality (the -8 was added to both sides of the equation)
5:transitive property (divided both sides by -1/3 to get x alone)
6:symmetric property (rewrote the answer)
Answer:
a) x = 26
b) (3 units right, 1 unit down)
Step-by-step explanation:
(a)
Divide both sides by 12:
Cube both sides:
Subtract 1 from both sides:
(b)
translation of
(3 units right, 1 unit down)
Answer:
Step-by-step explanation:
the general equation of a line is y=mx+c
because the slop is 1/5, the equation of this line would be
with the coordinates (20,5) , take 20=x and 5=y
and substitute these values into the equation above.
you should get:
5= 4 + c
so c = 1
therefore, the equation of the line is: