ANSWER
EXPLANATION
The vertex of the graph is at
The equation of the graph in vertex form is given by the formula,
The above graph has a minimum point, hence
When we put these values into the equation we obtain,
This implies that,
The point (-2,0) lies on the line.
The correct answer is D.
Answer:
surface area of the smaller figure ≈ 1474.64 m²
Step-by-step explanation:
The figures are similar base on the question . The surface area and the volume of the larger figure is given while only the figure of the smaller figure is given.
To find the surface area of the smaller figure we simply use the ratios. That is the scale factors.
Therefore, they are similar figure the scale factor can be represented as a:b.
The scale factor for volume is cubed.
volume of larger figure/volume of the small figure = a³/b³
4536/2625 = a³/b³
a/b = 16.5535451/13.7946209
Note that for two similar solid with scale factor a:b the surface area ratio is a²: b² (the scale factor is square)
16.55²/13.79² = 2124/x
273.9025/190.1641 = 2124/x
cross multiply
273.9025x = 403908.54840
x = 403908.54840/273.9025
x = 1474.6435261
x ≈ 1474.64 m²
Answer:
3√(22) + 7
Step-by-step explanation:
The way this is worded can be interpreted two different ways so just to cover the bases, I'll do both. I'm confident they are asking for way 1 though because it wants you to simplify the expression, not evaluate. Way 2 gives you a solution rather than an exact equation.
<u>Number 1</u>
√(6) x √(33) + 7
= √(6 x 33) + 7
= √(198) + 7
= √(9 x 22) + 7
= 3√(22) + 7
<u>Number 2</u>
√(6) x √(33 + 7)
= √(6) x √(40)
= √(6) x (4√(10))
= 4√(60)
= 8√(15)
X7,y2 i don’t know what else to thing
Answer:
D. (2,-3)
Step-by-step explanation:
if you substitute 2 for the x value and -3 for the y value in both equations, it works out.
instead of y=3x-9 it would be -3=3(2)-9.
you solve and get -3=-3, so it's a solution.
and instead of y=-2x+1 it would be -3=2(2)+1. after solving it, you would get -3=-3 again, so it works for both equations.
