Hello from MrBillDoesMath!
Answer:
32 ft^2
Discussion:
You solved it yourself. The area of a parallelogram of base "b" and height (altitude) "h" is b*h. In this case
Area = 8 * 4 = 32 ft^2
Thank you,
MrB
Answer:
A. (3,1)
B. g(x)=|x-3|+6
C. h(x)=-|x-3|-6
Step-by-step explanation:
A. To graph the absolute value function f(x) = |x - 3| + 1, first graph the parent absolute value function y=|x| and then translate it 3 units to the right and 1 unit up (see green graph in attached diagram). The vertex of the function f(x) is at point (3,1).
B. The function g(x) translates f(x) 5 units up, so its equation is
g(x)=f(x)+5
g(x)=|x-3|+1+5
g(x)=|x-3|+6
Blue graph in attached diagram.
C. The function h(x) reflects g(x) over the x-axis, so the equation of the function h(x) is
h(x)=-g(x)
h(x)=-(|x-3|+6)
h(x)=-|x-3|-6
Red graph in attached diagram.
25x^2 - 64y^2
The first thing you can do is look for a subtraction sign. The word difference implies subtraction, so you can rule out any expressions that add terms. Secondly, you can look for squares. 17x^2 - 23y^2 is a subtraction expression, but 17 and 23 are not squares. However, 25x^2 - 64x^2 is a subtraction expression and its terms are squares. 25 = 5x5, 64 = 8x8. Hope this helps!
Answer:
3m - 8
Step-by-step explanation:
Step by Step:
Equation= 6m³ - 16m² + 15m - 40/ 2m² + 5
Factor out 2m² from 6m³ - 16m²:
Factor out 5 from expression:
2m²(3m - 8) + 5(3m - 8)/2m² + 5
Factor out 3m - 8:
(3m - 8)(2m² + 5)/2m² + 5
Rude the fraction with 2m² + 5:
3m - 8 is the answer
I hope this helped!
Answer:
Because the purpose of business is to create a customer, the business enterprise has two--and only two--basic functions: marketing and innovation.
