-6a+10=-4a-16
-6a+26=-4a
26=2a
A=13
Answer:
Direction
Step-by-step explanation:
Whether the car slows down or speeds up depends on the direction of the force applied, because if Gordon applied the force opposite the direction of the cart's movement, then the cart will slow down. If however, the force is applied in the direction of the carts movement, then the cart will speed up.
Quadratic formulat is used when
a^2+bx+c=0
x=
4m^2+3m-1=0
a=4
b=3
c=-1
input
x=
x=
x=
x=
x=
or
x=-1 or 1/4
Answer:
Step-by-step explanation:
George is g and Mike is m
Substitute g in the second equation
- 2m - 5 + m = 31
- 3m - 5 = 31
- 3m = 36
- m = 12
Finding g
- g = 2*12 - 5 = 24 - 5 = 19
Answer:
(- 1, 8 ) and (5, 2 )
Step-by-step explanation:
Given the 2 equations
y = - x + 7 → (1)
y = 0.5(x - 3)² → (2)
Substitute y = 0.5(x - 3)² into (1)
0.5(x - 3 )² = - x + 7 ← expand and simplify left side
0.5(x² - 6x + 9) = - x + 7 ( multiply both sides by 2 )
x² - 6x + 9 = - 2x + 14 ( subtract - 2x + 14 from both sides )
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = 1 + 7 = 8 ⇒ (- 1, 8 )
