Step-by-step explanation:
g(5)=3(5)-11
=15-11
=4
f(g(5))=2(4)²+4(4)+10
=2(16)+16+10
=32+26
=58
Answer:
c = 18.47
Step-by-step explanation:
This would create a triangle in which the length of the wall would be the missing side. We can use the Pythagorean Theorem to find this:
1. 
+ 
= 
2. 
+ 
=
3. 25 + 196 =
4. 221 =
5. 
= c
6. 18.47 = c
Answer:
we conclude that the cost of 100 pencils = $11
Step-by-step explanation:
Brianna can buy 14 pencils for $1.50 at the school store.
so
unit rate = $1.50 / 14 pencils
= 0.11 USD per pencil
Thus,
The cost of 1 pencil = $0.11
The cost of 100 pencils = $0.11 × 100
= $11
Therefore, we conclude that the cost of 100 pencils = $11
Answer:
(x + 2)^2 - 1
Step-by-step explanation:
x^2 + 4x + 1
= (x^2 + 4x + 2 - 2 + 1)
= (x + 2)^2 - 1
Answer:
Step-by-step explanation:
1). segment AB ≅ segment AE ......... 1). Given
2). ΔBAE is isosceles .............. 2). Definition of isosceles Δs
3). ∠ABC ≅ ∠AEB ............. 3). Corollary to isosceles Δs theorem
4). segment BG ≅ segment EF ........ 4). Definition of midpoints
5). segment BC ≅ segment ED ......... 5) Given
6). segment CD ≅ segment DC ....... 6). Reflexive property
7). segment BD ≅ segment EC ........ 7). Property of sum of equals parts
8). ΔBGD ≅ Δ EFC ............... 8). SAS postulate
9). ∠1 ≅ ∠2 ............ 9). Corresponding parts of congruent Δs
10). ΔCHD is isosceles ............ 10). Corollary to isosceles Δs theorem
