Answer:
1) x=0.465
2) option A.
Step-by-step explanation:
1) The given equation is:
We rewrite this as logarithm to get:
The change of base formula is:
We apply the change of base formula on the RHS to get:
Group similar terms:
2)
From the graph, the logarithmic function approaches negative infinity as x approaches -6.
Therefore the vertical asymptote is x=-6
The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.
The correct answer is A.
Answer:
The length of AE is 20 units.
Step-by-step explanation:
Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.
we have to find the length of AE
AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD
In ΔABE and ΔDCE
∠EAB=∠EDC (∵Alternate angles)
∠EBA=∠ECD (∵Alternate angles)
By AA similarity, ΔABE ≈ ΔDCE
therefore,
⇒
⇒
⇒
Hence, AE=2x+10=2(5)+10=20 units
The length of AE is 20 units.
