Answer:
x=9
Step-by-step explanation:
We can use similar triangles and ratios. Put the small triangle side over the large triangle side.
9cm 3x -20
---------- = ---------------- We need to add the sides to get to the larger triangle
72+9 cm 3x-20 + 56
We can cross multiply to solve
9 * (3x-20+56) = (72+9) * (3x-20)
Simplify
9*(3x+36) = 81*(3x-20)
Distribute
27x +324 = 243x -1620
Subtract 27x from each side
27x-27x +324 = 243x-27x -1620
324 = 216x-1620
Add 1620 to each side
324+1620 = 216x
1944 = 216x
Divide each side by 216
1944/216 = 216x/216
9=x
Answer:Gary-18 years brother-10 years
Step-by-step explanation:1st case: brother=1 yrs,gary=3 yrs=>after 6 after: brother =7 yrs gary=9 years
2nd case:......
3rd case:.....
4th case:brother:4 years gary:12 yrs=>after 6 yrs:brother=10 yrs gary=18 yrs=>18-10=8
I am still learning, and am most likely incorrect.
I believe you remove the 3's since their not needed, and do this:
2x = 4x + 6 - (2x)
so then just ignore "x" and do this:
2 = 4 + 6 - 2
2 = 10 - 2
2 = 8
x = 8
Answer:
y=3/2(x) -1, or y = 1.5x - 1
Step-by-step explanation:
To write the equation in slope-intercept form, you have to determine the y-intercept for the line. Since you have the slope and at least one ordered pair, you can find this by substituting the points and slope into this formula:
y=mx+b.
For this particular line, you would write:
-8 = 3/2(-6)+b
-8 = -18/2 + b
-8 = -9 + b
add 9 to both sides to isolate the b
-1 = b.
Now that you have the answer for b (-1), you can write the equation as:
y=3/2(x) -1
