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3 years ago

Two water tanks are being filled. The water in Tank A is 3 inches deep, and the depth of the water increases 4

Mathematics

1 answer:

valentinak56 [21]3 years ago

8 0

Answer:

variable: number of hours

inequality (unsimplified): 4x+3 > 2x+10

inequality (simplified): x > 3.5

at least 4 hours

Step-by-step explanation:

we can use mx+b to solve this. m will be the rate at which the water level rises and b will be your stating point. x defines the hour; this is your varible as it can change

Tank A: 4x+3

Tank B: 2x+10

since we want to find when tank a will have be deeper than tank b, we set the inequality to solve for greater than tank a: 4x+3 > 2x+10

subtract 3 to both sides: 4x > 2x + 7

subtract 2x to both sides: 2x > 7

divide both sides by 2: x > 3.5

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Step-by-step explanation:

Start by knowing that he has 6 tickets he got previously, and then he gets 15 more tickets each time he played the game, which was 7 times.

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Add n on both sides:

3m = km - 8 + n

Subtract km on both sides:

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m(3 - k) = n - 8

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3 years ago

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grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

$m=\frac{6-4}{3+3}$

$m=\frac{2}{6}$

simplify

$m_a=\frac{1}{3}$

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

$m=\frac{3+3}{-8+10}$

$m=\frac{6}{2}$

$m_b=3$

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

$m=\frac{-4-5}{3-0}$

$m=\frac{-9}{3}$

$m_c=-3$

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

$m=\frac{-4+7}{13-4}$

$m=\frac{3}{9}$

simplify

$m_d=\frac{1}{3}$

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

$m_a=\frac{1}{3}$

$m_b=3$

$m_c=-3$

$m_d=\frac{1}{3}$

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

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