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natulia [17]
3 years ago
9

30. Write an equation in point-slope form for the line through the given point with the given slope.

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

y-6=3/4(x+4)

Step-by-step explanation:

y-y1=m(x-x1)

y-6=3/4(x-(-4))

y-6=3/4(x+4)

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In order to remove water from a flooded basement, two pumps, each rated at 40 gallons per minute, are used. After half an hour,
Scrat [10]

Answer:

3600 gallons of water was removed from the basement.

Step-by-step explanation:

Given:

Rate of each pump = 40 gallons/min

We need to find find the number of gallons of water removed from the basement.

Solution:

Now Given:

After half an hour, the one pump burns out.

Now we know that;

1 hour = 60 mins

\frac12 hour = \frac{60}{2}=30\ mins

Now for 30 mins both the pumps were working and removing the water.

So we can say that;

Water remove for first 30 mins = 40\times2\times30=2400\ gallons

Also Given:

the second pump finishes removing the water half an hour later.

So we can say that;

Water removed for next 30 mins = 40\times 30\times1 =1200\ gallons

Now we can say that;

Total water removed from the basement is equal to sum of Water remove for first 30 mins and Water removed for next 30 mins .

framing in equation form we get;

Total water removed from the basement = 2400+1200=3600\ gallons.

Hence 3600 gallons of water was removed from the basement.

6 0
3 years ago
Factorise 15 x square - 6 X + 5 Y - 2 please answer me fast who answered will mark as brainleist ​
sweet-ann [11.9K]

Answer:

(3x+1)(5x-2)

Step-by-step explanation:

Given the expression

15x^2-6x+5x-2

Factorize;

3x(5x-2)+ 1(5x-2)

(3x+1)(5x-2)

Hence the factorized form is (3x+1)(5x-2)

4 0
2 years ago
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