Let the speed of El Toro be x mph and that of T Express be y mph.
Given : Speed of El Toro > Speed of T Express
i.e, x > y
Also, the difference in the speeds of El Toro and T Express is 5 mph.
So, the required equation is
x - y = 5
To determine the speed of a train, the speed of other is required.
The speed of El Toro = Speed of T Express + 5
The speed of T Express = Speed of El Toro - 5
B. Because of the slope and where it the lines intersect the y axis
Answer:
D
Step-by-step explanation:
Angle 5 is equal to angle 8 because the two angles are an alternate interior angle. We already know that angle 7 and 8 are supplementary because it's adjacent to each other on a straight line. So, since angle 5 and 8 is equal to each other, angle 5 is also supplementary to angle 7.
9514 1404 393
Answer:
a) V = 4w²h
b) SA = 4w² +10wh
c) SA = 4w² +37.5/w
d) C = 40w² +225/w
Step-by-step explanation:
The relevant formulas are ...
V = LWH
base area = LW
lateral area = H(2(L+W))
__
a) The length is 4 times the width, so the volume is ...
V = (4w)(w)(h)
V = 4w²h
__
b) The total surface area is the sum of the base area and the lateral area:
SA = base area + lateral area
SA = (4w)(w) + 2h(4w +w)
SA = 4w² +10wh
__
c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...
15 = 4w²h
h = 15/(4w²)
Then the surface area is ...
SA = 4w² +10w(15/(4w²))
SA = 4w² +37.5/w
__
d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:
C = 10(4w²) +6(37.5/w)
C = 40w² +225/w
x = -3 or x = -2
Step-by-step explanation:
x² + 5x + 6 = 0
(x + 3)(x + 2)
x = -3 \/ x = -2
