Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3
Step-by-step explanation:
Since, For function f , the domain is R - {7}
That is, If x is any element of the domain of the function f,
Then, x ≠ 7
(gof)(x) = g(f(x))
Since, For the function g, the domain is R - {-3}
Thus, If f(x) is any element of the domain of the function g,
Then f(x)≠ -3
Hence, Fourth Option is correct.
Answer:
PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution
Step-by-step explanation:
The naming of the segments suggests that point P is between L and R, so that ...
LP + PR = LR
This corresponds to the last choice.
_____
<em>Comments on the alternate interpretation</em>
On the other hand, if point L is between P and R, then the segments are PL and LR. The Segment Addition Postulate would tell you that ...
PL + LR = PR
The Reflexive Property of Congruence would tell you that PL = LP. The Substitution Property would tell you LP can be substituted into this equation, making it ...
LP + LR = PR
and by the commutative property, ...
LR + LP = PR.
Multiple properties of addition and congruence are involved with this interpretation, which more or less matches the third choice. That is, the simple explanation of answer choice 3, by itself, is insufficient to explain why the length of PR should be considered to be 19, not 5.
3²×2^4 ×3³×2=
3^5×2^5=
243 × 32 = 7776
Answer:
13 foot rounded to the nearest foot
Step-by-step explanation:
the ratio is
nose to head: 2:9
Rushmore mountain Roosevelt :
nose to head : x/60
2/9=x/60
120=9x
x=120/9= 13 1/3 or 13.33
x=13 foot rounded to the nearest foot
Answer:
The volume of the triangular prism would be 210.
Step-by-step explanation:
Formula:
Volume of a triangular prism = (1/2) x Base area x Height
or
V = 1/2 x B x H
Find the Base area = l x w
Base area = (10 x 7) 70
Base area = 70 sq.m
V = (1/2) x (70) x 6
V = <em>210</em>
