Answer:
Step-by-step explanation:
<h3>Given </h3>
- Points A(-1,7) and B (11,-1)
<h3>To find</h3>
<h3>Solution</h3>
<u>Using midpoint formula</u>
- x = (-1 + 11)/2 = 10/2 = 5
- y = (7 -1)/2 = 6/2 = 3
Midpoint is (5, 3)
Answer:
367
Step-by-step explanation:
367 because it is positive
Answer:
33,333 ft^3
Step-by-step explanation:
A pyramids volume can be defined by V=lwh/3. We know the base is 1000 ft^2, so we multiply that by an additional 100 for the height. We then have 100,000 ft^3. After that, we simply divide it by three, which is 33,333.3 repeating, and round it to 33,333 ft^3
Answer:
(a) width = (x - 1)
length = (7x - 6)
(b) Area = 350 cm²
Perimeter = 114 cm
Step-by-step explanation:
<h3><u>Part (a)</u></h3>
Given equation: 
⇒ a = 7, b = -13, c = 6
Find 2 two numbers that multiply to ac and sum to b: -6 and -7
Rewrite b as the sum of these 2 numbers:
Factorize the first two terms and the last two terms separately:
Factor out the common term (x - 1):
Therefore:
- width = (x - 1)
- length = (7x - 6)
<h3><u>Part (b)</u></h3>
Substitute the given value of x = 8 into the equations to find the area and perimeter:
![\begin{aligned}\textsf{Perimeter} & = 2(\sf width+length)\\& =2[(x-1)+(7x-6)]\\ & = 2[(8-1)+(7(8)-6)]\\ & = 2[7+(56-6)] \\& = 2(7+50)\\& = 2(57)\\ & = 114 \sf \:\: cm\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctextsf%7BPerimeter%7D%20%26%20%3D%202%28%5Csf%20width%2Blength%29%5C%5C%26%20%3D2%5B%28x-1%29%2B%287x-6%29%5D%5C%5C%20%26%20%3D%202%5B%288-1%29%2B%287%288%29-6%29%5D%5C%5C%20%26%20%3D%202%5B7%2B%2856-6%29%5D%20%5C%5C%26%20%3D%202%287%2B50%29%5C%5C%26%20%3D%202%2857%29%5C%5C%20%26%20%3D%20114%20%5Csf%20%5C%3A%5C%3A%20cm%5Cend%7Baligned%7D)
Answer:
-143
Step-by-step explanation:
you plug -7 in the x variables
-4(-7)^2-7(-7)+4 = -143
