Answer:
The speed of Natalie in miles per hour is 1.2 mph.
Step-by-step explanation:
First you plug in the variables:
(-3)(2)+(6)(-3)(4)
Multiply:
-6+(-18)(4)
-6+-72
Add and your answer comes out to be:
-78
AC side and BC side have the same length because ΔCDA and ΔCDE are congruent.
The equation will be
AC = BC
Solve the equation
AC = BC
2x = 3x - 10
2x - 3x = -10
-x = -10
x = 10
The value of x is 10
Divide the first equation by 2 and add the result to the second equation. This will eliminate x.
... (-4x -2y)/2 + (2x +4y) = (-12)/2 +(-12)
... 3y = -18 . . . . . collect terms
... y = -6 . . . . . . . divide by 3
Substitute this into either equation to find x. Let's use the second equation, where the coefficient of x is positive.
... 2x +4(-6) = -12
... 2x = 12 . . . . . . . . add 24
... x = 6 . . . . . . . . . . divide by 2
The solution is (x, y) = (6, -6).
Answer:
y = 1/5 x + 12/5
Step-by-step explanation:
We are looking for the equation of a line.
We satart with the slope-intercept form of the equation of a line.
y = mx + b
We need to find m, the slope, and b, the y-intercept.
The given line is y = 1/5 x - 3.
Its slope is 1/5.
Parallel lines have equal slopes, so the slope we need is also 1/5.
Now we have for our line
y = 1/5 x + b
Now we find b.
We are given a point on the line, (-2, 2). Using the slope we already know, plug in (-2, 2) in the equation and solve for b.
2 = 1/5 * (-2) + b
10 = -2 + 5b
12 = 5b
b = 12/5
Now that we know the y-intercept, we can write the equation of the line.
y = 1/5 x + 12/5
