Answer:
Step-by-step explanation:
1). If a point C is lying on a line segment RB,
Then RB = RC + CB
Since, RB = 45, CB = 3x - 12 and RC = 2x + 9
45 = (2x + 9) + (3x - 12)
45 = (2x + 3x) - 3
48 = 5x
x = 
x = 9.6
2). Since, RC = 2x + 9
RC = 2(9.6) + 9
= 19.2 + 9
= 28.2 units
3). Distance between the two points
and
is given by the formula,
d = 
Distance between the points A(2, -2) and D(-2, 2) will be,
= 
=
= 5.657
≈ 5.66 units
Answer:
The characteristic of a logarithm is the number to the left of the decimal.
(The characteristic is like an exponent).
We are working with base 3 logs.
So if we are increasing a number by multiplying it by the base of the logarithm, (in this case 3 times 3) then we increase the characteristic by two.
Since 2 is the exponent of 3^2 then to get the log 3 of 72, we get the log3 (8) and increase it by 2.
1.8928 +2 = 3.8928
Had we been working with base 10 logs and we were multiplying a number by 100, We would increase the characteristic by 2 because 100 = 10^2.
Step-by-step explanation:
Answer:
Step-by-step explanation:
y = - 9
y^2 = (-9)^2 = 81
AND
z = 0.7
z^2 = (0.7)^2 = 0.49
Hope it helped
Answer:
See explanations below
Step-by-step explanation:
Given the functions f(x)=2x+3 and g(x)=x^2-1
a. Find f(g(x))
f(g(x)) = f(x^2-1)
f(g(x)) = 2(x^2-1)+3
f(g(x))= 2x^2-2+3
f(g(x)) = 2x^2+1
Hence the composite function f(g(x)) is 2x^2+1
b) g(f(x)) = g(2x+3)
g(f(x) = (2x+3)^2-1
g(f(x)) = 4x^2+12x+9-1
g(f(x)) = 4x^2+12x+8