Y= mx +b slope intercept form.
b= 60, now do rise over run to find m
4/4= 1, m=1
Final equation: y=1x+60
Let the train's original speed be s. Recall that distance = (speed)(time). Here, 150 miles = s(time), or 150 = s*t. If its original speed is increased by 5 mph, then the time required tomake the trip is 1 hour less than before;
distance = speed times time, so
150 mi = (s+5)(t-1). Let's eliminate t and solve for s:
Since 150 = s*t, t = 150/s. Subbing 150/s for t in the 2nd equation, we get:
150 s
150 mi = (s+5)(150/s - 1), or 150 = (s+5)(------- - ---- )
s s
Mult. both sides by s to elim. the fraction(s):
150s = (s+5)(150 - s)
Then 150s = 150s - s^2 + 750 - 5s, or
0 = -s^2 - 5s + 750
or 0 = s^2 + 5s - 750
Thus, 0 = (s-25)(s+30), and the roots are s=25 and-30. Only a positive original speed makes sense, so the answer is s = 25 mph.
Answer:
Step-by-step explanation:
The side length of the square is 18 inches.
If the this square is dilated by a scale factor of , then the length of the resulting square can be calculated by multiplying the scale factor by the side length of the original square.
The side length of the resulting square is
Therefore the resulting square is 6 inches long.
Answer:
0
Step-by-step explanation:
(-7 + 3) - (2 - 6)
PEMDAS
Parentheses first
(-4) - (-4)
Subtracting a negative is adding
-4 +4
0
To find x, we have to use the pythagorean theorem.
a^2 + b^2 = c^2.
In our problem,
a = 3
b = ?
c = 6.5
(3)^2 + b^2 = (6.5)^2
Simplify the left and right side.
9 + b^2 = 42.25.
Subtract 9 from each side
b^2 = 33.25.
Take the square root of each side
b = 5.8.
Multiply 5.8 by two becuase 5.8 is the radius and we are looking for the diameter
x = 11.6