Answer: Thus you found the rate of the slower bus. It is 67 miles per hour.
Then the rate of the faster bus is 67 + 18 = 85 mph.
Step-by-step explanation:
The picture in the attached figure
we know that
the equation of a line <span>that has a slope of 3 and a y-intercept at (0, 0) is
y-y1=m*(x-x1)
y-0=3*(x-0)------> y=3x
case a) Line AB
m=0
case b) Line CD
C (-3,0) D(3,2)
slope m=(2-0)/(3+3)-----> m=2/6------> m=1/3
case c) Line FG
slope is negative
case d) Line HJ
H( -1,-4) J(1,2)
slope m=(2+4)/(1+1)-----> m=6/2-----> m=3
this is the solution because parallel lines are the same slope
the answer isLine HJ</span>
Answer:
Option D. No,they are not similar because their side lengths are not proportional.
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem If the rectangles are similar
then
The ratio of its corresponding lengths must be equal to the ratio of its corresponding heights
<u><em>Verify</em></u>
therefore
The rectangles are not similar because their side lengths are not proportional.
Answer:
x = 3 or x = - 6
Step-by-step explanation:
Factor and Solve. x^2 + 3x - 18 = 0
We can use the Diamond method of factoring.
Factor -18 = 6 * -3; and 3 = 6 + -3
so
x^2 + 3x - 18 = x^2 -3x + 6x - 18 = 0
= (x^2 -3x) + ( 6x - 18) = 0
= (x^2 -3x) + ( 6x - 18) = 0
= x(x - 3) + 6*(x - 3) =0
= (x - 3)*(x + 6) = 0
so Either x - 3 = 0 or x + 6 = 0
x = 3 or x = - 6