Answer:
y = -3x + 7
Step-by-step explanation:
The equation of a line
y = mx + c
y - intercept point y
m - slope of the line
x - intercept point x
c - intercept point of the line
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( 1 , 4) ( 2 , 1)
x1 = 1
y1 = 4
x2 = 2
y2 = 1
insert the values
m = 1 - 4 / 2 - 1
m = -3/1
m = -3
y = -3x + c
Step 2: substitute any of the two points given into the equation of a line
y = -3x + c
( 1 ,4)
x = 1
y = 4
4 = -3(1) + c
4 = -3 + c
4 + 3 = c
c = 7
Step 3: sub c into the equation
y = -3x + 7
The equation of the line is
y = -3x + 7
<u>Answer:</u>
The distance from earth to sun is 387.5 times greater than distance from earth to moon.
<u>Solution:</u>
Given, the distance from Earth to the sun is about 
The distance from Earth to the Moon is about 
We have to find how many times greater is the distance from Earth to the Sun than Earth to the Moon?
For that, we just have to divide the distance between earth and sun with distance between earth to moon.
Let the factor by which distance is greater be d.
Hence, the distance from earth to sun is 387.5 times greater than distance from earth to moon.
Answer:
Step-by-step explanation:
Let her brother's age be x
Sarah is 2x + 4
Rotate one of them so the right angle is in the same orientation as the other one.
1. AB = DE
2. CB = FE
3. AC = DF
4. Compare the length of two known sides: cb and EF
CB = 3 and EF = 8
8/3 = 2 2/3 scale factor
5. Ab is side de. Multiply the length of ab by the scale factor:
4 x 2 2/3 = 10 2/3
6. FD = sqrt ( 10 2/3^2 + 8^2)
FD = 13 1/3
Answer:
(−2)(2)+(3)(−5)
=−19
Step-by-step explanation:
