Answer:
x = 18
Step-by-step explanation:
Congruent angles have equal measures.
74° = (4x +2)°
72 = 4x . . . . . . divide by °, subtract 2
18 = x . . . . . . . divide by 4
Answer:
You have an empty box which is 1,800 grams. After you put the books in, it's 9 kilograms. There are 9,000 grams in 9 kilograms, and 1,800 grams were already there before you put the books.. so just do 9,000 - 1,800 which equals 7,200. Then divide 7,200 by 4, because there are 4 books with equal mass.
Step-by-step explanation:
Leg one: x (shorter side)
Leg two: x+6
Hypotenuse: 2x-6
Use a^2+b^2=c^2
x^2+(x+6)^2=(2x-6)^2
x^2+x^2+12x+36=4x^2-24x+36
2x^2+12x=4x^2-24x
36x=2x^2
36 = 2x
x = 18
Answer:
The graph in the attached figure
Step-by-step explanation:
we have

This is a exponential function of the form

where
a is the initial value or the y-intercept
b is the base of the exponential function
If b>1 then is a exponential growth function
If b<1 then is a exponential decay function
In this problem
The y-intercept is equal to
For x=0

The y-intercept is the point (0,1)
so


The value of b is greater than 1
so
Is a growth function
To plot the graph create a table with different values of x and y
For x=-1
f(x)=2^-1=0.5
point (-1,0.5)
For x=1

point (1,2)
For x=2

point (2,4)
For x=3

point (3,8)
For x=4
f(x)=2^4=16
point (4,16)
Plot the y-intercept and the other points and connect them to graph the exponential function
Note that as x increases the value of y increases (exponential growth function)
The graph in the attached figure
Answer:
the value of B is 12 times more than a
b = a * 12