Hi there!
a. 8x^2 - 1
(x^2 - 4x + 5) + (7x^2 + 4x - 6)
= x^2 + 7x^2 - 4x + 4x - 1
= 8x^2 - 1
b. 5x^2 + 7x - 7
(7x^2 + 4x - 6) - (2x^2 - 3x + 1)
= 7x^2 + 4x - 6 - 2x^2 + 3x - 1
= 7x^2 - 2x^2 + 4x + 3x - 6 - 1
= 5x^2 + 7x -7
Hope this helps!
Answer:8x+11
Step-by-step explanation:2 x+ 6x=8x +11
add 2x to 6x and add 11 to it .
Answer:
Mean: 21
Median: 23
Mode: 27
Step-by-step explanation:
order from least to greatest:
1, 15, 18, 22, 23, 25, 27, 27, 31
mean: add all the numbers and divide by 9 bc thats how many numbers there are so that means the answer is
21
Median: to find the median you order the numbers from least to greatest and find out the middle number so in that case the median is 23
Mode: to find the mode you look to see what number is repeated multiple times, so the mode is 27
The answer is Hx = ½ Wsin θ cos θ
The explanation for this is:
Analyzing the torques on the bar, with the hinge at the axis of rotation, the formula would be: ∑T = LT – (L/2 sin θ) W = 0
So, T = 1/2 W sin θ. Analyzing the force on the bar, we have: ∑fx = Hx – T cos θ = 0Then put T into the equation, we get:∑T = LT – (L/2 sin θ) W = 0
