Answer:
9.) -2/2 = -1
10.) -6/-11 or 6/11
11.) -3/-11 or 3/11
Step-by-step explanation:
this is easy XD
So, first step the midpoint formula: (x1 + x2 / 2, y1 + y2 /2 )
9.) c(-9,-1) and D(7,3) ----> you should know the x and y and plug in :D
10.) E(5,-5) and F(1,-6)
----> you should know the x and y and plug in :D
11.) G(-5,3) and H(2,-8)----> you should know the x and y and plug in :D
The answer is equivalent to 10*9*8 as their is one less student to go after each presentation.
720 ways.
Answer:
32/3
Step-by-step explanation:
First you need to understand the slope-intercept form
y = mx +b
m = the slope of the line
b = the y-axis intercept
y and x represent the coordinates of a point on the line
So for the equation that you listed we know that the slope, m , is (3/4). We also know a given point on the line. therefore we also have a y value (1/3) and a x value (4).
So plug in the numbers:
(1/3)=(3/4)*4 + b
So to find the equation of this line we must solve for b
Multiply (3/4) and 4 to get 3
(1/3) = 3 + b
Now subtract 3 from both sides in order to isolate b
-2 2/3 = b or -8/3 = b
Now rewrite the equation with the y-intercept, b.
y = (3/4)x - (8/3)
From the wording I am assuming you are given a list of equations to chose from. It is possible that the some of all of the equations are listed in standard form. In that case, we need to find the equation:
Ax + By = C
To do that we simply take the slope intercept equation and manipulate it algebraically
y = (3/4)x - (8/3) First subtract (3/4)x from both sides
-(3/4)x + y = -(8/3) This is technically standard form but we can clean it up a bit by multiplying both sides of the equation by -4.
So -4 * -(3/4)x = 3x
-4 *y = -4y
-4 *-(8/3) = 32/3
So 3x - 4y = 32/3
I hope this helps
Answer:
1 
Step-by-step explanation:
the denominators must be the same so, since 4 goes evenly into 24 we can create an equivalent fraction from 3/4 to 18/24 (multiply numerator and denominator by 6)
now you can add:
+ 
= 
= 
since the numerator is larger than the denominator this is called an improper fraction and can be changed into a mixed number by dividing 24 into 33
24 goes into 33 one time with a remainder of 9
so 33/24 = 1 
wherein 9 and 24 can each have a 3 factored out to make it fully simplified
9÷3 = 3
24÷3 = 8
final answer is 1
9 - 18
5 - 10
1 - 2
Work —
First line:
y = 2 (9)
y = 18
Second line:
10 = 2x
5 = x
Third line:
y = 2 (1)
y = 2
