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Nostrana [21]
3 years ago
13

Work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)

Mathematics
1 answer:
leva [86]3 years ago
4 0

Answer:

y = 2x + 2

Step-by-step explanation:

The slope is also called the gradient of the line.

The slope that is given is two, and the point is (1, 4).

I made a point slope equation, and then converted it into a slope-intercept equation.

y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}

Hope this helps.

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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:

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
Y=-0.05x^2+4.5x-6.5 pls help to solve
givi [52]
Following with the extra hint that x = 82.03 m

There are 2 ways to approach the question, but although I prefer to group up x first before plugging value, having that -0.05x^2 to group up is too annoying:

Plug x = 82.03

=> Y = -0.05*(82.03^2) + 4.5*82.03 - 6.5
         = -336.446045 + 369.135 - 6.5
         = 26.188955 m

Please take the time and understand the answer instead of just looking at the final result.

Also I know the number is very long, but that's the question's fault. <span>¯\_(ツ)_/¯</span>

6 0
3 years ago
9/10 times a number plus 6 is 51
lys-0071 [83]
N = the number

9/10n + 6 = 51                                       Original Problem.
9/10n = 46                                            Subtract 6 from each side.
n = 51.11111111111111111111                  Multiply each side by (10/9)

Answer: n = 51.111111111111111111111

3 0
3 years ago
Read 2 more answers
Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the gr
Degger [83]

Answer: t=2s

Step-by-step explanation:

4 0
3 years ago
Help me please I would really appreciate it​
jek_recluse [69]

Answer:

41

Step-by-step explanation:

9^2+40^2=1681

the sqrt of 1681= 41

3 0
3 years ago
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