Answer:
7 is in the thousands place
Answer:
69 miles per hour
Step-by-step explanation:
Given
Trip to:
--- time
Trip back
Required
Determine the average speed to Johannesburg
Average speed is calculated as:
Make distance the subject
Since distance is constant, then:
This gives:
Open bracket
Collect like terms
Solve for s2
Recall that:
Maria do 1/2 work in 1 hour
Sasha do 1/3 work in 1 hour
Thus,
1/2+1/3=5/6 work in 1 hour
5/6 work in = 1 hour
1 work in =6/5=1.2 hours =72 minutes
Answer:Simplifying
0.5x + -2y = 6
Solving
0.5x + -2y = 6
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2y' to each side of the equation.
0.5x + -2y + 2y = 6 + 2y
Combine like terms: -2y + 2y = 0
0.5x + 0 = 6 + 2y
0.5x = 6 + 2y
Divide each side by '0.5'.
x = 12 + 4y
Simplifying
x = 12 + 4y
Step-by-step explanation:
Hope this helped!!
Step-by-step explanation:
as the formula says for the acid of symmetry :
x = -b/2a
in the function m(x) = 2x² + 8x +3
we have
a = 2
b = 8
c = 3
the axis of symmetry is
x = -8/(2×2) = -8/4 = -2
the vertex is (h, k) out of the form
m(x) = a(x - h)² + k
we know already, a = 2
for the rest we do all the multiplications and then we compare it with the original function :
m(x) = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k
a = 2
-2ah = 8
-2×2×h = 8
-4h = 8
h = -2
ah² + k = 3
2×(-2)² + k = 3
8 + k = 3
k = -5
so, the vertex is (-2, -5)