Someone help i’ll mark brainliest!!! Find the equation of the line through (7,1)

Mathematics

2 answers:

dexar [7]2 years ago

8 0

Answer:

Step-by-step explanation:

We can use the point-slope formula to write an equation for this line. The point-slope formula states :

where m is the slope and (x1 y1) is a point the line passes through .

We can substitute the slope and values from the point to give:

(y-1) = 8 (x-7)

We can also transform this equation to the slope-intercept form by solving for

. The slope-intercept form of a linear equation is: y=mx+b

where the m is the slope and b s the y-intercept value.

y-1= (8 times x) - ( 8 times 7)

y-1= 8x - 56

y-1 + 1= 8x- 56 + 1

y-0= 8x- 55

y= 8x - 55

loris [4]2 years ago

7 0

Answer:

y=1/2x - 2.5

Step-by-step explanation:

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The radius of Earth is about 3960 miles. The radius of the moon is about 1080 miles. a. Find the surface area of Earth and the m

Molodets [167]

A) The formula for surface area of a sphere is A = 4*PI*r^2

using 3.14 for PI:

Surface area for Earth = 4 * 3.14 x 3960^2 = 196,960,896 miles^2

Surface area of the moon: 4 * 3.14 * 1080^2 = 14,649,984 miles^2

B)Divide the Surface of the Earth by the moon:

196,960,896 / 14,649,984 = 13.44

The Earths surface is 13.4 times larger than the moon.

C) Multiply the surface of the Earth by 70%:

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4 0

3 years ago

Rewrite the expression in the form x

Serga [27]

Answer:

See below (I hope this helps!)

Step-by-step explanation:

When dividing exponential terms of the same base, we can simply subtract the exponents, therefore:

$\frac{x^{6} }{x^{8} } = x^{(6-8)} = x^{-2}$

5 0

3 years ago

Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2

Savatey [412]

$\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
\\\\\\
f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9}
\\\\\\
f(~~g(2)~~)=\cfrac{127}{9}$