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
EXPLANATION
Given that
X (-2, 1)
Y (-4, -3)
Z (0, -2)
The transformation rule of the triangle is given as
(x, y) ----------------> (x - 1, y + 3)
From, the given transformation rule, we can now find the new coordinates
X (-2, 1) --------------> X' (-2 -1, 1 + 3)
X(-2, 1 ----------------> X' (-3, 4)
Y(-4, -3) -----------------> Y'(-3-1, -3+1)
Y(-4, -3)-------------------> Y' (-4, -2)
Z(0, -2) --------------------Z'(0-1, -2+3)
Z(0, -2) -------------------> Z'(-1, 1)
Therefore the new coordinates of the triangles are
X' (-3, 4)
Y' (-4, - 2)
Z' (-1, 1)
183 is the answer to that
Answer:
37
Step-by-step explanation:
-3x^{2} + 1
replace (x) with (-2)
-3(-2)^{2} + 1
6^2 +1=36+1
=37
Answer:
The atom of carbon weighs more
Step-by-step explanation:
we have
<em>Atom of carbon weighs</em>
<em>Atom of hydrogen weighs</em>
Compare
therefore
The atom of carbon weighs more
