Answer:
A
Step-by-step explanation:
<h3>Numerator</h3>
(3x)(3x) = 9x^2
√9x^2 = 3x
Numerator = 3x
<h3>Denominator</h3>
√18y^2 = √18 · √y^2
√18 = 3√2
√y^2 = y
3√2y
Denominator = 3√2y
Now we need to rationalize the denominator, and get rid of the square root on the bottom
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Answer:
9 + 10 = 19
1 + 2 = 3
Step-by-step explanation:
To add 2 to 1, look at a number line and start at the point 1 and go two numbers to the right to end at 3.
Answer:
(0, -1)
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.
Hence for parallelogram RSTU, RS // TU and RU // ST
Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:
Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5
Slope of ST = (2 - 4) /[6 - 3] = -2/3
Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)
Slope of TU = (y - 2) /[x - 6]
Slope of RU = Slope of ST
(y - 1) / (x + 3) = -2/3
3y - 3 = -2x -6
2x + 3y = -6 + 3
2x + 3y = -3 (1)
Slope of RS = Slope of TU
0.5 = (y - 2) /[x - 6]
0.5x - 3 = y - 2
0.5x - y = 1 (2)
Solving 1 and 2 simultaneously gives:
x = 0, y = -1
Therefore the coordinates of U = (0, -1)
D is the answer. Hope this helps!
Answer:
27.72litres=27.72×1000 cm^3
(¡)Height of cylinder=27720×7/(22×21^2)=20cm
Step-by-step explanation:
(¡)First convert litres in to cm^3 take it as the volume of the cylindrical container
(¡¡)Then use V=22/7×r^2×h equation and substitute the values to V and r. Then find the value of h
#V=27.72×1000 (V= volume)
# r = 42/2=21 (r = radius)
