Answer:
y = -1/4 x + 15.
Step-by-step explanation:
y = 4x - 2 has a slope of 4 ( = the coefficient of x).
The line at right angles to it will therefore of a slope of -1/4.
Using the point-slope form of a line the line t which passes through (4, 14) is found as follows:
y - 14 = -1/4(x - 4)
y = -1/4x + 1 + 14
y = -1/4x + 15
Answer:
y=-2x+13
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-3)/(4-5)
m=2/-1
m=-2
y-y1=m(x-x1)
y-3=-2(x-5)
y=-2x+10+3
y=-2x+13
To find the percent of 15 out of 60, you have to divide fifteen by sixty.
Then, you multiply your answer by 100. (We do this because 100 percent is a exact amount. 100% of sixty is...well, sixty.)
15 / 60 = 0.25
Now, we can multiply 0.25 by 100:
0.25 * 100 = 25 (basically just moving the decimal two places to the right.)
Next, add a percent sign:
25%, is your answer.
15 is 25% of 60.
Answer:
A = 0.859
Step-by-step explanation:
We want to find the area of the region bounded by the lines x = 1 and y = 0 and the curve y = xe^(x²).
At y = 0, let's find x;
0 = xe^(x²)
Solving this leads to no solution because x is infinity. Thus we can say lower bound is x = 0.
So our upper band is x = 1
Thus,lets find the area;
A = ∫xe(x²) dx between 1 and 0
A = (e^(x²))/2 between 1 and 0
A = ((e¹)/2) - (e^(0))/2)
A = 1.359 - 0.5
A = 0.859
Answer:
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Step-by-step explanation:
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