Hello there! The formula for finding slope is y2 - y1 / x2 - x1, meaning you subtract the first x and y-coordinates, from the second x and y-coordinates. In this case, the formula would be set up as -2 - 5 / 2 -1, because (2, -2) is the second point and (1, 5) is the first point. The answer is C: 2 - 1.
Answer:
The slope is 45.
Step-by-step explanation:
Using the slope formula by two points:
m=(y2-y1)/(x2-x1)
m=(210-120)/(4-2)
m=45
<span>The proper sequence John would use to find the measure he wants.is given as follows:
Step 1: </span><span>John drives a stake opposite the tree to establish a line between two points.
Step 2: </span><span>John uses a compass to walk away from the stake at a right angle.
Step 3: </span><span>On the path John walks until he finds a line of sight to the tree that equals 60 degrees.
Step 4: </span><span>John drives a second stake in the ground.
Step 5: </span><span>John measures the distance between the two stakes.
Step 6: </span><span>John multiplies the distance between the two stakes by 1.7 to find the distance.</span>
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.
h'(t) = -32t + 16
When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.
-32t + 16 = 0
-32t = -16
t = 0.5 seconds
b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.
h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet
If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.
c.) We know that the horse is in the air whenever h(t) is greater than 0.
-16t^2 + 16t = 0
-16t(t-1)=0
t = 0 and 1
So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
Answer:
2.39
Step-by-step explanation:
31*27 = 837 divided by 350= 2.39142857143 round
