Answer:
The speed of the first car is 60 mph
Step-by-step explanation:
speed = distance/time
Solve the above equation for distance to get
distance = speed * time
or simply
d = st
Now we use this formula for distance to write an equation for each car.
Let s = speed of second car
Then since the speed of the first car is 10 mph faster, the first car's speed is s + 10.
The time the two cars traveled is equal but unknown, so let the time = t.
First car: speed = s + 10; time = t; distance = 120 miles
d = st
120 = (s + 10)t
(s + 10)t = 120 Equation 1
Second car: speed = s; time = t; 100 miles
d = st
100 = st
st = 100 Equation 2
Equations 1 and 2 form a system of 2 equations in 2 unknowns.
(s + 10)t = 120
st = 100
Distribute t in the first equation.
st + 10t = 120
From the second equation we know st = 100, so substitute 100 for st.
100 + 10t = 120
10t = 120
t = 2
The time traveled was 2 hours.
Equation 2:
st = 100
Substitute t with 2.
s * 2 = 100
s = 50
The speed of the second car was 50 mph.
The speed of the first car is s + 10.
s + 10 = 50 + 10 = 60
Answer: The speed of the first car is 60 mph
Answer:
The slope of a line that is perpendicular to the given line is 
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope of the line and "b" is the y-intercept.
Solve for "y" from the equation of the line 
:
You can observe that the slope of this line is:
By definition, the slopes of perpendicular lines are negative reciprocal, then, the slope of a line that is perpendicular to the give line, is
Answer:
First blank is cos(h)cos(x)
Second blank is sin(x)
Step-by-step explanation:
Look up the identity and apply it here
Answer:
4z^2+7z
you have to combine the like terms
7z+4z^2+6-6
then becomes
(4z^2) + (7z) + (6-6)
gets you to the simplified version which is
4z^2 +7z
75/5-(4-1)^2
75 / 5 = 15
15-(4-1)^2
15-3^2
answer: 6
