Step-by-step explanation:
the answer is
When multiplying, the exponents are added if the bases are similar.
so,
(x².x⁴.y.y³)/xy²
=x⁶y⁴/xy²
Function:
f(x) = x² + 3
The domain is the maximum and minimum values of x that can be put into a function to yield another value. In this case, the domain is negative infinity to positive infinity
D = (∞,-∞)
The minimum value of the function is when x is 0
The minimum value is 3
The maximum value is ∞
Therefore, the range is [3 , ∞)
For the function's inverse, the original domain will become the range and the original range will become the domain.
Answer:
B
Step-by-step explanation:
Base area = (base x width) = 20 x 18 = 360 cm^2
Base perimeter = (base + width) x 2 = (20 + 18) x 2 = 76 cm
lateral surface = (base perimeter x height) = 76 x 15 = 1140 cm^2
Surface area = (base area x 2) + lateral surface = (360 x 2) + 1140= 1860 cm^2
surface area of a single prism = 1860 / 2 = 930 cm^2
Answer: 37
Explanation:
Order of operations says you do multiplication first, you get 4 • 10 = 40
Then do subtraction, so 40 - 3 = 37
Hope this helps!
<h3>
Answer: A. 9</h3>
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Explanation:
Draw in the segments AO and OC.
Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.
Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.
Then we can say:
AB+BC = AC .... segment addition postulate
AB+AB = AC .... plug in BC = AB
2*AB = AC
2*AB = 18
AB = 18/2 .... divide both sides by 2
AB = 9
In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.