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2 years ago

12

Aline passes through the points (-1, 4) and (2,-2). What is the equation of this line?

1 answer:

irina1246 [14]2 years ago

8 0

Answer:

y= -2x+2

Step-by-step explanation:

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The circular stream of water from a faucet is observed to taper from a diameter of 20 mm to 10 mm in a distance of 50 cm. Determ

steposvetlana [31]

Solution:

From Bernoulli equation

$\frac{1}{2}$ ρ $V_{1}^{2}$ + ρgh = $\frac{1}{2}$ ρ $V_{2}^{2}$ , where ρ is density of water, h – height difference and $V_{1}$ and $V_{2}$ are the velocities in upper and lower cross sections correspondingly. We take into account that the pressure in both cross-sections is the same and equal to the atmospheric one.

From the continuity and assuming water incompressible:

$\pi r_{1}^{2}$ $V_{1}$ = $\pi r_{2}^{2}$ $V_{2}$ , where $A_{1}$ and $A_{2}$ are the corresponding cross-sections. As the lower diameter is twice as low as the upper one, we can conclude that $V_{1} = \frac{V_{2}}{4}$

Inserting it back into Bernoulli equations produces:

$V_{1} = \sqrt{\frac{2}{15}gh} = 0.26m/s$ and the flow rate is

$\pi r_{1}^{2}V_{1} = \pi r_{2}^{2}V_{2} = 8.10^{-5} \frac{m^{3} }{s}$

6 0

3 years ago

Will the ordered pairs listed in the table form a straight line when plotted? Explain your reasoning.

mrs_skeptik [129]

Answer:

Yes.

Step-by-step explanation:

If the slope between successive points have the same slope then they will form a straight line.

Slope = ( 3.5- -1) / (-2 - -8) = 4.5/6 = 3/4

Slope = (12.5 - 3.5) / (10 - -2) = 9 / 12 = 3/4

Slope = (20-12.5)/(20-10) - 7.5/10 = 3/4 .

So the answer is yes.

4 0

3 years ago

What is 98/100 written as a decimal in terms of dollars ?

Nana76 [90]

Answer: 98/100 is .98$ or 98 cents

Step-by-step explanation:

100 cents is 1$

you have to put a decimal point in front of any number less than 100 in terms of money.

so you would put .98$ or 98 cents

8 0

2 years ago

Find an equation for the line that passes through the points (5, -4) and (1, -2)

storchak [24]

Answer:

you could get y = − 1/2 x − 3 /2

Step-by-step explanation:

3 0

3 years ago

Brian is playing a video game.He earns the same number of points for each star he picks up.He earned 2,400 points for 6 stars,4,

RUDIKE [14]

The number of stars is the independent variable

6 0

3 years ago

Read 2 more answers