<u>Answer:</u>
f(x) = 7 is an even function.
<u>Step-by-step explanation:</u>
Any function is even when
and gives a graph that is symmetric with respect to the y-axis.
We are given these options and we have to check whether which of them is an even function:

and
- This function is not even

and
- This function is not even

and
- This function is not even

and
- EVEN FUNCTION
We get the same value for
and
, therefore f(x) = 7 is an even function.
Answer:
A and C
Step-by-step explanation:
Let Triangle ABC is a right angle traingle.
From Option A
AB= 24, BC= 26 and AC=10
By Pythagorean Triplet
(AB)^2 + (AC)^2 = (24)^2 + (10)^2
= 576+100
(AB)^2 + (AC)^2 = 676 ---------------- (I)
(BC)^2 = 26^2 = 676 -------------------(ii)
From (I) and (ii)
(BC)^2 = (AB)^2 + (AC)^2
Therefore, the sides 10,24 and 26 are the sides of the right angle triangle.
From Option C
AB= 18, BC= 30 and AC=24
By Pythagorean Triplet
(AB)^2 + (AC)^2 = (18)^2 + (24)^2
= 324+576
(AB)^2 + (AC)^2 = 900---------------- (I)
(BC)^2 = 30^2 = 900 -------------------(ii)
From (I) and (ii)
(BC)^2 = (AB)^2 + (AC)^2
Therefore, the sides 18, 24 and 30 are the sides of the right angle triangle.
Answer:
18/19
Step-by-step explanation:
90/95
Simplify
18/19
Answer:
151 in^3
Step-by-step explanation:
The rocket consists of two shapes - a cone and a cylinder
the volume of the plastic = volume of cone + volume of cylinder
volume of a cylinder = nr^2h
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
the diameter is the straight line that passes through the center of a circle and touches the two edges of the circle.
A radius is half of the diameter
Radius = 5/2 = 2.5
Height of cone = 11 - 6 = 5
Volume of plastic = (22/7) x (2/5^2) x 6 + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151
D. 22+(-3). Hope this helps.