Put a point H on (9, 2). Sketch a triangle out of the three points. Distance between (-2, 2) and (9, 2) is going to be 11. Distance between (9, 2) and (9, 5) is going to be 3. These correspond to the a and b of the Pythagorean Theorem
c^2=a^2+b^2
c=√11^2+3^2=√130
<span>Square root of 130 is 11.4</span>
750 sq ft
Step-by-step explanation:
since the fencing is going around the perimeter, you have to have two sides with the width of 25 feet, you would use 50 feet of fencing for 2 of the sides. You will have 60 feet of fencing left, divided by 2 (length of the garden) = 30 feet long.
The area (length x width) or (25 x 30) = 750 sq ft of garden space. Draw a rectangle with 25 ft on two parallel sides and 30 ft on the other two sides and show these equation= 25 x 2= 50, 110 - 50 = 60
60 ÷ 2 = 30, 30 x 25 = 750
Answer:
r = 6
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportionality
To find k use the condition r = 4 when M = 160
k = 
= 
= 2.5, so
M = 2.5r³ ← equation of proportionality
When M = 540, then
540 = 2.5 r³ ( divide both sides by 2.5 )
216 = r³ ( take the cube root of both sides )
r = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
The width would be 1 inch.
Given: L = length = 5W; P = perimeter = 2(L+W) = 12 inches
Required: W = width;
Formula: P=2(L+W)
Solution:
12 in = 2 (L + W)
6 in = L + W
6 in = 5W + W
6 in = 6W
1 in = W
Cross check:
P = 2(L + W)
12 in = 2(5 in + 1 in)
12 in = 2(6 in)
12 in = 12 in
Let's rewrite the given expression correctly:
(2y3 + 3y2 - 4y - 5) / (y + 1)
Dividing the expression between y + 1 we have:
2y2 + y - 5
We can check the result:
(2y2 + y - 5) * (y + 1)
= (2y3 + y2 - 5y + 2y2 + y - 5)
= (2y3 + 3y2 - 4y - 5)
Division OK.
Answer:
The result of the division is:
2y2 + y - 5
