Answer:
63 mph
Step-by-step explanation:
<u>Given:</u>
- Trip duration = 12 hours
- First half duration = 7 hours
- First half speed = 45 mph
<u>To find:</u>
<u>Solution:</u>
- One way distance = 7*45 = 315 miles
- Time on return = 12 - 7 = 5 hours
- Average speed on return trip= 315 / 5 = 63 mph
Answer:
B
Step-by-step explanation:
B because the line doesn't go through any of the data points.
The correct answer is 96 ft³. In order to find the volume of a prism, you first have to find the area of the faces and then multiply by the distance between them. In this case, we're finding the area of a triangle using the base, 6, and the height, 4, and then multiplying by 8.
A = 1/2bh Area of a triangle
A = 1/2(4 x 6) Substitute
A = 24 / 2 Multiply
A = 12
So, the area of the triangle is 12 ft². Now, we just multiply that by 8 to get the answer.
12 x 8 = 96
So, the volume of the triangular prism is 96 ft³.
Hope this helps!
Make it into slope intercept form which is y=mx+b
subtract x ffrom both sides
2y=-5-x
divide by 2
y=-1/2x-5/2
y=mx+b
m=slope
b=y intercept or where the line passes through the y-axis
now one way is to graph points by subsituting
if x is 0 then y=-5//2
if x=1 then y=-3
if x=-5 then y=0
another way is to find out where the line passes though the y and x axis or the y and x intecepts respectively
the y intercept is when x=0
the x intecept is when y=0
so set each to zero and solve
if x=0
y=-1/2(0)-5/2
y=-5/2
the line passes throught the y axis at -5/2, plot the point (0,-5/2) on the y axis
then set y to zero
0=-1/2x-5/2
add 5/2 to both sides
5/2=-1/2x
multiply -1
-5/2=1/2x
multiply by 2
-5=x
therefor the line passes through tthe x axis at (-5,0)
then draw the line between the 2 points
here is the graph