27 + X = 50 is the equation
You have a rectangle and 2 triangles:
rectangle = 12 *6 = 72
larger triangle on left, find the base:
base = 6 / tan(45) = 6
area = 1/2 x b x h = 1/2 x 6 x 6 = 18
smaller triangle:
area = 1/2 x b x h
1/2 x 2 x 6 = 6
total area:
72 +6 +18 = 96 cm^2
(a) y >_ 13
(b) x > 17.5
Explanations:
(a)
24.2 - y <_ 11.2
- y <_ 11.2 - 24.2
-y <_ -13
y >_ 13
(b)
- 12.5 + x > 5
x > 5 + 12.5
x > 17.5
(<_ means “less than or equal to” and >_ means “greater than or equal to”)
Answer:
BG = 3; GE = 6
Step-by-step explanation:
The centroid of a triangle divides the median into two parts in the ratio 1 : 2. That is, the short segment is 1/3 the length of the median, and the long segment is 2/3 the length of the median.
BG = 1/3·BE = 9/3 = 3
GE = 2/3·BE = 2/3·9 = 18/3 = 6
We have the following functions:
f (x) = x ^ 2 + 1
g (x) = 1 / x
Multiplying we have:
(f * g) (x) = (x ^ 2 + 1) * (1 / x)
Rewriting:
(f * g) (x) = ((x ^ 2 + 1) / x)
Therefore, the domain of the function is given by all the values of x that do not make zero the denominator.
We have then:
All reals except number 0
Answer:
b. all real numbers, except 0
