Answer:
The x-intercept of CD is -19/5
Step-by-step explanation:
If the coordinates of the first point is (-3, 2) and the coordinates of the point B are (7, 6) then we need first to find the equation of the line CD:
We know that the general equation of the line is:
y-y0 = m(x-x0) where (x0, y0) represents a point that belongs to the line and m, is the slope which can be calculated by using the following formula:
m = (x1 - x0) / (y1 - y0)
In this case:
(x1, y1) = (7, 6)
(x0, y0) = (-3, 2)
Then:
m = (7 - (-3))/(6-2) = 10/4 = 5/2.
Then, the equation of the line is:
y-y0 = m(x-x0)
y - 2 = 5/2 (x -(-3))
y = 5/2(x+3) + 2
To find the x intercept we make y=0.
Then y = 5/2(x+3) + 2 = 0
Then:
x = -4/5 - 3 = -19/5
Hmm they're both even numbers so maybe we can start by cutting each number in half.
18 and 48 had 2 as a common factor.
So factoring a 2 out of each number was the same as cutting each number in half. Try to do something similar with the 9 and 24. They each have something in common.
$70 into 1:2:4
1+2+4 = 7
7 parts= $70
1 part = $70/7 ($70 divided by 7)
1:2:4 = $10:$20:$40
answer= $10:$20:$40
Hope this helps!! :)
Answer:
6 three-point shots
Step-by-step explanation:
Amount of points scored in nine games = 162 points
If he scored the same number of three-point shots in each game, the nmber of three points shots he made in each game will be expressed as;
1 game = x points
Since 9 games = 162 points
We will cross multiply and get s:
9 * x = 162 * 1
9x = 162
Divide both sides by 9;
9x/9 = 162/9
x = 18
Hence he has made 18 points in one game.
The number of 3 points shot made per game will be 18/3 = 6 three-point shots
The product of a number (we will call it x) and 13 is 13*x. Or 13x
