Answer:
10/3
Step-by-step explanation:
(-2, 6) & (-5, -4)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-4 - 6) / (-5 - (-2))
Simplify the parentheses.
= (-4 - 6) / (-5 + 2)
= - 10 / -3
Simplify the fraction.
-10/-3
= 10/3
This is your slope.
Hope this helps!
Answer:x=1.5
Step-by-step explanation:
Given
Two points co-ordinates are given
A=(5,-8)
B=(5,4)
let other point be C =(x,y)
Area of triangle is given by
A=20-5y+40-8x+5y-4x
A=60-8x
and A=48 square unit
48=60-8x
x=1.5
As area is independent of y therefore at x=1.5 any value of y will give area of 48 square unit
8x - 6 - 12x^2 + 9x
2(4x-3)-3x(3x-3)
=> (2-3x)(3x-3)
=> 3(x-1)(2-3x)
Answer:5
Step-by-step explanation:
If you are looking for the distance then start counting on the first decimal and stop at the second
Let's look at work rates per minute.
Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.
The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.
1/16 + 1/24 = 1/x
1/16 * 3/3 + 1/24 * 2/2 = 1/x
3/48 + 2/48 = 1/x
5/48 = 1/x
x = 48/5 = 9.6
Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.
