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3 years ago

Simplify simplify √a^8 b^9

Mathematics

1 answer:

Aliun [14]3 years ago

7 0

Step-by-step explanation:

see this bro May this help you

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PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

1 year ago

It takes the hot water faucet 4 times as long to fill a bathtub as it does the cold water faucet. Left on together, the cold and

Debora [2.8K]

If it takes the cold water faucet x minutes to fill 1 tub, then its flow rate is (1 tub)/(x min).

The hot water faucet takes 4 times as long, so its flow rate is (1 tub)/(4x min).

Together, the total flow rate is (1 tub)/(3 min), so we have

$\dfrac1x+\dfrac1{4x}=\dfrac13$

$\implies\dfrac5{4x}=\dfrac13$

$\implies15=4x$

$\implies x=\dfrac{15}4\,\text{min}=3\,\text{min}\,45\,\text{sec}$

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3 years ago

What is the measure of angle x?

Scilla [17]

Answer:

90 degrees cuz the lil square thang

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2 years ago

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Lance and Brandon purchased items at the sporting goods store and spent the same amount of money. Lance bought 18 shirts for his

Shtirlitz [24]

Answer:

$12.50

Step-by-step explanation:

18 - 12 = 6

Brandon bought 6 less than Lance and payed $75 dollars shoes.

That means that 6 shirts cost $75.

We need to divide 6 from 75

75/6 = 12.5

So each shirt costs $12.50.

Hope this helped

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4 years ago

Monica retiled her square kitchen for $338. If the company she used charged $2 per square foot, how wide is her kitchen?

zloy xaker [14]

169 square feet wide.

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3 years ago

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