Answer:
9
Step-by-step explanation:
Take half of the coefficient of x and square it.
-6/2 = -3
Square -3 to get 9.
Answer: 9
The formula for a straight line is y=mx+b, where m is the slope and b is the y-intercept.
To find out the slope, we use a formula known as rise/run.
Rise means how high a point goes between any two points and run is how far the space is between any two points.
We can see that there are two points give to us. Now we ask our self how high do we have to go to reach the second points’ height. If we count it we go five UP. Meaning that the rise is positive 5.
Now we see how far the two points are. If we count it, we go 1 space the LEFT meaning -1 since going left on a graph means x is getting smaller.
Now that we have he two values, we put them into rise/run
5/-1=-5
So our value of m is -5
Meaning y=-5x+b
We still have our value of b to find and we can do this by choosing any one point on the graph and substituting it into the equation. We know that one of our points is (3,0)
We put these into the equation
y=-5x+b
0=-15+b
b=15
Therefore, y=-5x+15
Answer:
615.8
Step-by-step explanation:
Circle area = π * r² = π * 196 [mcm²] ≈ 615.8 [cm²]
Answer:
Step-by-step explanation:
Its is a linear equation .that is to day a simple equation of a line whose values can be obtained through their intercept.intercept on x axis, y is zero and vice versa
Answer:
The speed in still water is 5 miles per hour.
Step-by-step explanation:
distance with current = 90 miles
distance against current = 10 miles
speed in still water = s
speed of current = 4 mph
speed with current = s + 4
speed against current = s - 4
time = t
speed = distance/time
distance = speed * time
With current:
90 = (s + 4) * t
Against the current:
10 = (s - 4) * t
We have a system of equations:
90 = (s + 4) * t
10 = (s - 4) * t
90 = ts + 4t
10 = ts - 4t
Subtract the second equation from the first equation.
80 = 8t
10 = t
t = 10
10 = t(s - 4)
10 = 10(s - 4)
1 = s - 4
s = 5
Answer: The speed in still water is 5 miles per hour.
