QP is the bisector so QPM is half NPM or
The given system of equations is :
y=2x+14 ...(1)
−4x−y=4 ... (2)
We can solve the above system of equation by method of substitution. Frm equation (1) we have y=2x+14. So, first step is to substitute 2x+14 for y in equation (2). Hence,
-4x - (2x + 14) = 4
-4x - 2x - 14 = 4
- 6x -14 = 4 By combining the like terms.
-6x - 14 + 14 = 4 + 14 Add 14 to each sides of the equation.
- 6x = 18
Divide each sides -6.
x = -3.
Next step is to plug in x=-3 in equation (1) to get the value of y. Therefore,
y = 2(-3) + 14
= -6 +14
= 8
So, y=8.
Answer:
9 baskets in 12 shots.
Step-by-step explanation:
To compare the rates, we simply divide the baskets by number of shots taken:
Obviously, 0.75 > 0.72, so 9 baskets in 12 shots has a higher rate.
The LCM is the smallest number that all of those numbers can divide into evenly. So the LCM of 3,9,12 is 1
Answer: 1
Step-by-step explanation:
A formula for the slope of a line is rise/run.
First let’s find the ‘rise’
To find the rise, we must look at the difference between the elevation of the points. We can find the rise by subtracting y1 from y2. 7-3=4, so the rise is 4
Run is the same concept. We must subtract x2 - x1.
2-(-2)=2+2=4
So the rise is 4 and the run is 4. There for rise/run = 4/4 =1
The slope of the line is 1