Let's use the slope intercept form of a line which is:
y=mx+b where m=slope and b=y-intercept.
Mathematically m=(y2-y1)/(x2-x1) and the y-intercept is just the value of y when x is equal to zero, where the line intercepts the y axis...
First you want to find the slope by finding two clearly identifiable points on the graph...I'll pick (4,4) and (0,1), now we can calculate the slope or "m"...
m=(4-1)/(4-0)=3/4 so now we can say our line is:
y=0.75x+b, using point (4,4) we can now solve for b.
4=0.75(4)+b
4=3+b
b=1 so the line is"
y=0.75x+1
Answer:
Step-by-step explanation:
area πr²=28.26
r²=28.26/π
r=√(28.26/π)≈ 9cm
Yes, that is correct due to the distributive property. It states that you can distribute a number to another number.
for example: a(b + c) = ab + ac
in this case, you are distributing the -1 into the 2x + 10
-1(2x + 10)
(-1) * (2x) + (-1) * (10)
(-2x) + (-10)
-2x - 10
J'=(3, 6); K'=(7, 3); L'=(10, -11)
This is a translation vector that shifts the figure 4 right and 2 down. We add 4 to each x-coordinate and subtract 2 from each y-coordinate.
J'=(-1+4, 8-2) = (3, 6)
K'=(3+4, 5-2) = (7, 3)
L'=(6+4,-9-2) = (10,-11)
-5x^4(-3x^2 + 4x -2)
Multiply the number on the outside by each number inside the parentheses:
-5x^4 x -3x^2 = 15x^6
-5x^4 x 4x = -20x^5
-5x^4 x -2 = 10x^4
Now combine them in order of exponents:
15x^6 - 20x^5 + 10x^4
