Answer:
a) 122.5 m ; b) 10 s
Step-by-step explanation:
Just use the given equation and plug in what you know.
a)
d = 4.9t^2
d = 4.9(5^2)
d = 4.9 * 25
d = 122.5 m
b)
d = 4.9t^2
490 = 4.9t^2
100 = t^2
t = 10 s
Answer:
=4/5(N+7)N
Step-by-Step Explanation:
We move all terms to the left:
-(4/5(N+7)N)=0
Domain of the equation: 5(N+7)N)!=0
N∈R
We multiply all the terms by the denominator
-(4=0
We add all the numbers together, and all the variables
=0
N=0/1
N=0
Let X & Y be the two integers
X+Y=18 Y = 18-X
XY = 80
We can substitute 18-X for Y in the equation XY = 80
X(18-X) = 80
Distributing
18X - X2 = 80
Subtract 80 from both sides so that the equation is equal to 0
-X2 + 18X - 80 = 0
Multiply (or divide by -1 so that the leading coefficient is positive, not negative)
X2 - 18X + 80 = 0
We can factor this quadratic
(X-10)(X-8) = 0
Setting each factor equal to 0 we can solve for X.
X-10 = 0 X-8 = 0
X = 10 X = 8
The two integers are 8 and 10.Answer:
Step-by-step explanation:
Answer:
The coordinates of point S are (5, 9) will make line PQ // line RS ⇒ A
Step-by-step explanation:
<em>Parallel lines have the same slopes</em>
The slope of a line = Δy/Δx, where
Let us first find the slope of the line PQ.
∵ P = (-2, -2) and Q = (0, 7)
∴ Δx = 0 - (-2) = 0 + 2 = 2
∴ Δy = 7 - (-2) = 7 + 2 = 9
∴ The slope of PQ = 9/2
∵ Line PQ // line RS
∴ The slope of line PQ = the slope of line RS
∴ The slope of line RS =9/2
∵ Point R = (3, 0) and point S = (x, y)
∵ The slope of line RS = 9/2
∵ The slope = Δy/Δx
∴ Δy/Δx = 9/2
→ That means Δy = 9 and Δx = 2
∵ Δy = y - 0
∵ Δy = 9
∴ 9 = y
∵ Δx = x - 3
∵ Δx = 2
∴ 2 = x - 3
→ Add 3 to both sides
∴ 2 + 3 = x - 3 + 3
∴ 5 = x
∴ The coordinates of point S are (5, 9) will make line PQ // line RS