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sineoko [7]
3 years ago
7

Find the equation of the line using the point-slope formula. write the final equation using the slope-intercept form. the x-inte

rcept is 1, and (x, y) = (−2, 15) is a point on the line

Mathematics
1 answer:
Masja [62]3 years ago
7 0
You are given two points on the line: (-2, 15) and (1, 0). (the x-int is where y equals zero)

This allows you to use the slope formula to solve the slope, m. (see first image, first equation in red). The slope is 15.

Then, as in the second picture, plug in the slope and a point into the point slope equation. I used the point (1, 0) but using the other point should yield the same answer.

To change it to slope intercept form, distribute the slope to the numbers in the parentheses and then add/subtract the number on the left side to have y by itself. The answer ended up as y=15x-15

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I really need help with this one please
natka813 [3]

The distance from the sun is option 2 5.59 astronomical units.

Step-by-step explanation:

Step 1; To solve the question we need two variables. P which represents the number of years a planet takes to complete a revolution around the Sun. This is given as 13.2 years in the question so P = 13.2 years. The other variable is the distance between the planet and the sun in astronomical units. We need to determine the value of this using the given equation.

Step 2; So we have to calculate the value of 'a' in Kepler's equation. But the exponential power \frac{3}{2} is on the variable we need to find so we multiply both the sides by an exponential power of \frac{2}{3} to be able to calculate 'a'.

P =  a^{\frac{3}{2} }, P^{\frac{2}{3} } = a^{\frac{3}{2}*\frac{2}{3}  },  P^{\frac{2}{3} } = a, 13.2^{\frac{2}{3} } = a = 5.58533 astronomical units.

Rounding it over to nearest hundredth we get 5.59 astronomical units.

6 0
4 years ago
Solve for x. thank you in advance, please answer my other questions as well im having a tough time
klio [65]

Answer:

3/4

Step-by-step explanation:

log_{(5)} (\sqrt[4]{125})

\frac{log(\sqrt[4]{125}) }{log(5)}

=0.75

8 0
3 years ago
Need help please!!!<br> Anyone?
Natali [406]
Let's solve for C in the equation:
f =  \frac{9}{5}c + 32 \\  f - 32 =  \frac{9}{5} c \\ c =  \frac{5}{9} (f - 32)


7 0
4 years ago
Fractions in simplest form that have denominators of 2,
Montano1993 [528]

One of the fractions could be 1/2

Hoped this helped at all :)

8 0
3 years ago
Which number belongs in the box to make the number sentence true ? 8(___-3)=16
GenaCL600 [577]

5, because 5-3 =2 and 2 tines 8 =16

7 0
3 years ago
Read 2 more answers
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