<span>First note that y cannot equal -7 or -1 as division by zero is undefined. So that if it comes up in our solution we know that it is not a real solution.
[(y+4)/(y+7)]+1=(y+3)/(y+1) make the left side have a common denominator
(y+4+y+7)/(y+7)=(y+3)/(y+1) combine like terms on left side
(2y+11)/(y+7)=(y+3)/(y+1) cross multiply
(2y+11)(y+1)=(y+3)(y+7) expand
2y^2+13y+11=y^2+10y+21 subtract y^2 from both sides
y^2+13y+11=10y+21 subtract 10y from both sides
y^2+3y+11=21 subtract 21 from both sides
y^2+3y-10=0 expand so factoring is easier
y^2-2y+5y-10=0 factor
y(y-2)+5(y-2)=0 which is equal to
(y+5)(y-2)=0
y=-5 or 2</span>
Answer:
12 ft
Step-by-step explanation:
Hi there!
<u>1) Find the length of the other leg in the right triangle</u>
There are two ways we can go about this. The first way is to use trigonomic ratios:
We're given one of the legs and we're trying to solve for the other, so we can use the tangent ratio:
Let x be equal to the length of the other leg. Plug in the known values:
The other way to find this is to observe the angles. Because we're given that two of the angles are 45 and 90 degrees, we know that the third angle is 45 degrees. This makes this an isosceles triangle, meaning the other leg is 7 ft long.
<u>2) Determine the height of the hoop</u>
Add 7 ft and 5 ft (the person's height):
7+5=12 ft
I hope this helps!
~2.09. The formula is (pi)r^2(h)/3 so 3.14286 • 1^2 • 2 is ~6.2857. Divers that by two and get 2.09
First you would find out how many words he types in 1 minute. Your answer for that is 51 words per minute. Now multiply that by 10 and that your answer. Your answer is 510 words in 10 minutes.
Answer:
C. = 1 and 5
D. = 4 and 5
B. = 2 and 7
A. = 3 and 5
Step-by-step explanation:
