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Vinvika [58]
3 years ago
9

Complete the square.

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

Answer:

+ 100

Step-by-step explanation:

Given

m² - 20m

To complete the square

add ( half the coefficient of the m- term )² to m² - 20m

m² + 2(- 10)m + (- 10)²

= m² - 20m + 100 = (m - 10)² ← perfect square

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Step-by-step explanation:

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5 0
2 years ago
A water trough is 7 m long and has a cross-section in the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 70 c
valentina_108 [34]

Answer:

The degree of fastness by which the water is rising is 210 seconds

Step-by-step explanation:

The volume of the trough when the water depth is 20 cm is first calculated

Volume of the trough (Trapezoidal Prism) = LH (A + B) × 0.5

Where L is the length of the trough, H is the height of the trough and A and B are parallel width of the top and bottom of the trough

Volume of the trough = 7 × 0.2 (0.3 + 0.7) × 0.5 = 0.7m³

The fastness at which the water is rising is = Volume ÷ water flow rate = 0.7 ÷ 0.2 = 3.5 min = 210 seconds

3 0
3 years ago
Read 2 more answers
4/6 + 1/12. Quick answer.
Fynjy0 [20]

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6 0
3 years ago
find the final balance in an account with $660 invested at 3.5% annual simple interest for five years.
Kisachek [45]
The equation for simple interest is:
A=P(1+rt)
Where:
A=amount
P=principal amount
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t=time
So:
660(1+(0.035×5))=$775.50
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A radioactive substance decays according to the equation y=30( .88 )^x, where y is measured in grams of the radioactive substanc
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