Answer:
24/10
Step-by-step explanation:
From the diagram
Opposite BC = 24cm
Adjacent = AC = 10cm
tan theta = opposite/adjacent
Substitute
tan <A = BC/AC
tan <A = 24/10
Hence the equivalent ratio is 24/10
<u>X - Intercept</u>
f(x) = -x² + 4x - 4
0 = -x² + 4x - 4
x = <u>-(4) +/- √((4)² - 4(-1)(-4))</u>
2(-1)
x = <u>-4 +/- √(16 - 16)</u>
-2
x = <u>-4 +/- √(0)
</u> -2<u>
</u> x = <u>-4 +/- 0
</u> -2<u>
</u> x = <u>-4 + 0</u> x = <u>-4 - 0</u>
-2 -2
x = <u>-4</u> x = <u>-4</u>
-2 -2
x = 2 x = 2
The solution to the problem is {2, 2}, or {2}. The x - intercept of the problem is (2, 0).
<u>Y - Intercept</u>
f(x) = -x² + 4x - 4
f(x) = -(0)² + 4(0) - 4
f(x) = -(0) + 0 - 4
f(x) = -0 + 0 - 4
f(x) = 0 - 4
f(x) = -4
The y - intercept of the problem is (0, -4).
<u />
Answer:
63 :)
Step-by-step explanation:
Answer:
1:6
5:30
?:426
You would take the ratio of each one which is simply 1:6, so to reduce ?:426 into 1:6, you would divide 426/6=71, so it would be
71:426
The formula to find the slope of a line is

.
I'm not sure if my fraction looks right, so I'll add it in a separate attachment too.