1) the small and large triangles are similar, then we can write:
x/24 = 8/18
Cross multiplication → 18x = 24.8 → 18x = 192 and x = 192/18
and x = 32/3 Or 10 ²/³
2) Δ ABC is similar to Δ EDC Since:
∠A = ∠D = 90°
∠C is common
Answer:
(8, -5); x=8; y=-5
Step-by-step explanation:
i'll be solving via substitution
2x+3y=1; y=-2x+11
2x + 3(-2x +11) = 1
2x -6x +33 = 1
-4x = -32
x = 8
2(8) + 3y = 1
16 + 3y = 1
3y = -15
y = -5
(8, -5)
Check:
-5 = -2(8) + 11
-5 = -16 + 11
-5 = -5
9514 1404 393
Answer:
20
Step-by-step explanation:
As with any evaluation problem, take it step by step according to the order of operations.
The first thing you need to do here is compute a#b.
The given definition can be simplified a bit for evaluation purposes:
a#b = a²b -ab² = ab(a -b)
Then for a=3 and b=-2, you have ...
(3)#(-2) = (3)(-2)(3 -(-2)) = -6(5) = -30
Now, you are in a position to evaluate the expression you're asked for.
Answer:
Step-by-step explanation:
AE is 9. ED is 6. The triangle ABE is proportional to ACD, so their sides are proportional. For example, AE:ED = AB:BC. So, ED/AE = 2/3 = BC/AB. This gives us 2/3 = x/10, which gives us x=6.6667
The domain would negative infinity to positive infinity . Domain would be the smallest through the largest possibly value of X. If you also need the range it’s ( -4,infinity]
