Can you take another pic of it because it is blurry
Answer: X = 3t, Y =2 - t, Z =2
Step-by-step explanation: the plane
x + y + z =4has normal vector
M =<1,1,1> and the line
x = 1 + t, y = 2 − t, z = 2t has direction
v =<1, −1, 2>. So the vector
A= n × v
=<1, 1, 1> × <1, −1, 2>
=<2−(−1),1−2,−1−1>
=<3,−1,−2>
Answer:
All real values, (-∞, ∞)
Step-by-step explanation:
<u>Step 1: Distribute</u>
5y + (86 - y) = 86 + 4y
5y + 86 - y = 86 + 4y
<u>Step 2: Combine like terms</u>
5y + 86 - y = 86 + 4y
4y + 86 = 86 + 4y
<u>Step 3: Subtract 4y from both sides</u>
4y + 86 - 4y = 86 + 4y - 4y
86 = 86
<u>Step 4: Subtract 86 from both sides</u>
0 = 0
Answer: All real values, (-∞, ∞)
Answer:
150 ft^3
.1 ton or 200 lbs
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 5*5*6
V = 150 ft^3
To find how much 1 ft^3 weighed take the weight and divide by the volume
15 tons / 150 ft^3
.1 ton / 1 ft^3
1 ft^3 weights .1 ton
We know that 1 ton = 2000 pounds
.1 ton = 200 pounds
Answer:
The average rate of change is 2.
Step-by-step explanation:
We are given the function:

And we want to find the average rate of change over the interval:

The average rate of change is synonymous with the slope. So, we will evaluate the function at its endpoints and find the slope between them.
Our first endpoint is given by:

And our second endpoint is given by:

This gives us two points (-4, -15) and (3, -1). The average rate of change will be the slope between them. Thus:

The average rate of change is 2.