Answer:
4x
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Line AC is equal to line DF.
Solve the equation:
5 3
x – —— = – ——
7 7
5
Add —— to both sides, so you get x isolated at the left-hand side:
7
5 5 3 5
x – —— + —— = – —— + ——
7 7 7 7
3 5
x = – —— + ——
7 7
Now, add those fractions at the right-hand side of the equation:
– 3 + 5
x = —————
7
2
x = —— <——— this is the answer (first option: 2/7).
7
I hope this helps. =)
Answer:
120 miles
Step-by-step explanation:
we know that
The speed is equal to the distance divided by the time
Let
s------> the speed in mph
d-----> the distance in miles
t -----> the time in hours
s=d/t
solve for the distance
d=s*t
<em>It will take Adam four hours to drive to Disney Park</em>
s=x mph
t=4 h
substitute
d=4x -----> equation A
<em>It will take Adam 2.5 times less time if driving 45 mph faster</em>
so
s=(x+45) mph
t=4/2.5=1.6 h
substitute
d=1.6(x+45) -----> equation B
equate equation A and equation B
4x=1.6(x+45)
Solve for x
4x=1.6x+72
4x-1.6x=72
2.4x=72
x=30 mph
Find the distance d
d=4x -----> d=4(30)=120 miles
Answer:
x^2 -8x -5 = -3
x^2 -8x -2 = 0
We complete the square by:
1) Moving the "non X" term to the right:
x^2 -8x = 2
2) Dividing the equation by the coefficient of X²
The coefficient of x is 1 so we don't do anything
3) Now here's the "completing the square" stage in which we:
• take the coefficient of X
that is -8
• divide it by 2
-8 ÷ 2 = -4
• square that number
-4*-4 = 16
• then add it to both sides of the equation.
x^2 -8x +16 = 2 +16
That becomes
(x -4)^2 = 18
we take the square root of both sides:
(x -4) = sqr root (18)
x1 = sqr root (18) +4
AND
(x+4) = sqr root (18) -4
x1 = sqr root (18) +4 = 4.2426406871 + 4 = 8.2426406871
x2 = sqr root (18) -4 = = 4.2426406871 - 4 = .2426406871
Step-by-step explanation:
