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3 years ago

Write an equation in slope intercept form of each line

Mathematics

1 answer:

Semenov [28]3 years ago

7 0

(-2,3). (0,4)

(4-3)/(0+2)= 1/2

y - 3= 1/2(x +2)
y-3= 1/2x + 1

y= 1/2x + 4

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Neptune is an average distance of 4.5 × 10^9 km from the Sun. Estimate the length of the Neptunian year using the fact that the

zlopas [31]

Answer:

164.32 earth year

Step-by-step explanation:

distance of Neptune, Rn = 4.5 x 10^9 km

distance of earth, Re = 1.5 x 10^8 km

time period of earth, Te = 1 year

let the time period of Neptune is Tn.

According to the Kepler's third law

T² ∝ R³

$\left ( \frac{T_{n}}{T_{e}} \right )^{2}=\left ( \frac{R_{n}}{R_{e}} \right )^{3}$

$\left ( \frac{T_{n}}{1} \right )^{2}=\left ( \frac{4.5\times10^{9}}}{1.5\times10^{8}}} \right )^{3}$

Tn = 164.32 earth years

Thus, the neptune year is equal to 164.32 earth year.

Step-by-step explanation:

3 0

3 years ago

\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned} y=2x+1 x−y=−3 Is (2,5)(2,5)left parenthesis, 2, comma, 5, right

trapecia [35]

Answer:

Yes

Step-by-step explanation:

Given the system of equations

$\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned}$

We want to determine if (2,5) is a solution of the system.

We can do this by substitution of the given point into the equations and see if it holds.

Given (x,y)=(2,5), x=2, y=5

In the first equation

y=2x+1

5=2(2)+1

5=5

Therefore, the point (2,5) satisfies the first equation.

In the second equation

$x-y=2-5=-3$

Since our result (-3) is equal to the Right Hand Side, the point also satisfies the second equation.

Therefore, (2,5) is a solution of the system.

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3 years ago

3 posters cost $9.60. At this rate how many posters can you buy with $48

Ksju [112]

About 15 because 9 times 5 = 45 reminder 3 than you add 3 times 5 = 15

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3 years ago

The diagram is not drawn to scale 14. 2x-9 Find the value of x.

anygoal [31]

Answer:Step-by-step explanation:

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3 years ago

Which is the difference of 6 - (-1).

Savatey [412]

The answer would be 7. The two minus signs cancel each other out and turn into a plus sign.

5 0

3 years ago

Read 2 more answers