Answer:
The graphs of the equations intersect at x=2
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both lines
Using a graphing tool
The solution is the point (2,-2)
see the attached figure
therefore
The graphs of the equations intersect at x=2
1250. Cubic feet = volume and volume is length * width * height. The volume of this would be 5x5x(1/2), which equals 12.5 cubic feet. 12.5*100=1250
Write and solve an equation of ratios based upon the fact that the small and large triangles shown are similar:
5 6
---- = ---------
14 6 + x
Then 30 + 5x = 84, and 5x = 54, and so x = 54/5, or 10.8, or 10 4/5.
Answer:
Associative Property
Step-by-step explanation:
To associate means to connect or join with something. According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are put together.
Answer: y = (x +2)² + 5
<u>Step-by-step explanation:</u>
y = a(x - h)² + k <em>where "a" is the leading coefficient and (h, k) is the vertex</em>
Since we don't know "a", we need to plug in the point (x, y) and the vertex (h, k) to solve for "a": (x, y) = (0, 9) and (h, k) = (-2, 5)
y = a(x - h)² + k
9 = a(0 - (-2))² + 5
9 = a(0 + 2)² + 5
9 = a(2)² + 5
<u>-5 </u> <u> -5 </u>
4 = a(4)
<u>÷4 </u> <u> ÷4 </u>
1 = a
Next, plug in "a" and the vertex (h, k):
y = a(x - h)² + k
y = 1(x +2)² + 5
y = (x +2)² + 5
