For the first line we have a slope of (y2-y1)/(x2-x1)
(2--2)/(1--1)=4/2=2 so we have:
y=2x+b, now solve for b with either of the points, I'll use: (1,2)
2=2(1)+b
b=0 so the first line is:
y=2x
Now the second line:
(1-10)/(4--2)=-9/6=-3/2 so far then we have:
y=-3x/2+b, using point (4,1) we solve for b...
1=-3(4)/2+b
1=-6+b
b=7 so
y=-3x/2+7 or more neatly...
y=(-3x+14)/2
...
The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...
2x=(-3x+14)/2
4x=-3x+14
7x=14
x=2, and using y=2x we see that:
y=2(2)=4, so the solution occurs at the point:
(2,4)
Answer:
36k
Step-by-step explanation:
36k = 2² × 3² × k
144k = 2^4 × 3² × k
GCF = 2² × 3² × k
GFC = 36k
Answer:
You invested $13,000 in two accounts... You invested $13,000 in two accounts paying 5% and 7% annual interest, respectively. If the total interest earned for the year was $850, how much was invested at each rate?
Since we already know the base area, we simply have to multiply it by the height to get the volume of the box (how much packing material it can contain)
9/10 x 1/3
<u>9</u> x <u>1</u> = <u>3</u><u>
</u>10 3 10 (I cancelled the 9 and 3 and made them 3 and 1 respectively)
<u>The answer is 3/10 ft</u>³
