To make sure we don't have negatives under the square root, we specify that
(x is greater than or equal to 0). We'll use this fact later on
--------------------------------------------
Start with the given inequality
and square both sides to get
. Couple this with the fact that
means we have this compound inequality
What does this mean? It means that we can pick any value from 0 to 49 (including both endpoints) and it will be a solution to the inequality. This applies to the values
49, 48 and 44Answers: Choice C, Choice D, Choice E
Answer:
36 cubic centimeters
Step-by-step explanation:
In this question, we are tasked with calculating the volume of the rectangular prism.
mathematically, that can be obtained by using the formula for the volume of the rectangular prism.
V = Base area * height
from the question, we have the base area as 12 square centimeters and the height as 3 centimeters.
Plugging these values into the equation, the value of the volume is thus 12 * 3 = 36 cubic centimeters
Stop 1 : -
15 + 5 = 20
20 - 2 = 18
So, on the first stop 18 passengers were left on the bus going to the next stop.
Stop 2 : -
18 + 3 = 21
21 - 15 = 6
So, 6 passengers get off at the 2nd stop.
Hope I helped ya!!
Answer:
1)B:63°
2)A:59°
Step-by-step explanation:
1.ABC is a right triangle at C then angle ACB=90°(right angle)
Angle CAB=27°(see the given)
measure of the angles in any triangle is 180°
then angle CBA=
measure of all the angles - (measure ACB+measure CAB)
=180°-(90°+27°)
=63°
2. Same explanation of angle B:
in the right triangle DEF: angle DEF=90°
angle D=31°(given)
Then measure of angle A=180°-(angle E + angle D)
=180-(90+31)=59°
Answer:
y4 - 8y3 + 8y2 + 2y + 8
—————————————
2y2
Step-by-step explanation:
Step 1 :
4
Simplify ——
y2
Equation at the end of step 1 :
y y 4
(((((y2)+————)-((2•—)•y))+——)-4y)+4
(y2) 4 y2
Step 2 :
y
Simplify —
4
Equation at the end of step 2 :
y y 4
(((((y2)+————)-((2•—)•y))+——)-4y)+4
(y2) 4 y2
Step 3 :
y
Simplify ——
y2
Dividing exponential expressions :
3.1 y1 divided by y2 = y(1 - 2) = y(-1) = 1/y1 = 1/y
Equation at the end of step 3 :
1 y2 4
(((((y2)+—)-——)+——)-4y)+4
y 2 y2
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