Slope is m given the general formula y=mx+b.
For this equation slope is -2
I believe it is 1250
Explanation: Area of a triangle=1/2bh-1/2•20•30
Area of square=bh-25•25
Add your answers together then you get 1250
Answer: Step E
Step-by-step explanation:
The error is in the last step. In Step D, we see that we're supposed to subtract the second part from the first part. We also see we have the terms 2x-8 in the numerator on the right. Since we're subtracting, the expression should actually be -2x +8. 3 -2x +8 should be -2x +11 which is not the numerator in Step E so the last step is wrong.
We can factor this by using grouping. Take the leading coefficient and multiply it by the constant. In this case we get 5*-7 = -35.
Now we need 2 numbers that add to 2 and multiply to be -35. The numbers are -5 and 7.
So split the 2r into these two terms and group.
(5r^2 - 5r) + (7r - 7)
Factor both groups.
5r(r-1) + 7(r-1)
The factors of (r-1) can be added together to get the answer.
(r-1)(5r+7)
Answer:
The field will not fit
Step-by-step explanation:
To find the angle, we will use cosine rule;
c² = (a² + b² - 2abcosC)
C in this case is θ
Thus;
15² = (8² + 20² - 2(8 × 20)cos θ)
225 = (64 + 400 - 320cos θ)
464 - 225 = 320cos θ
cos θ = 239/320
θ = cos^(-1) 0.7469
θ = 41.68°
Thus angle is not less than 40° as recommended. Thus, the field will not fit.
