1. You will have to find the height first which could be done by using pythagoras theorem
split the 12 by half giving 6
a^2 = b^2 + c^2
13^2 = 6^2+c^2
169 = 36+c^2
c^2=169-36
c^2=133
c=sqrt133
c= 11.53
area of triangle
1/2 x b x h
1/2 x 6 x 11.53
34.59
34.5(3 sf)
Given that:
James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .
To find:
The equation that can be used to solve for zach's age.
Solution:
Let the age of zach be Z.
Zach added 8 to his age = Z+8
And multiplied this sum by 3 = 3(Z+8)
James is 6 times older than his friend Zach = 6Z
Now,
Divide both sides by 3.
Therefore, the required equation is is age of zach is 8 years.
Answer:
Please check the explanation.
Step-by-step explanation:
Given
a)
f(x) + g(x) = (2x - 1) + (2 - x)
= 2x -1 + 2 - x
= x + 1
b)
f(x) - g(x) = (2x - 1) - (2 - x)
= 2x - 1 - 2 + x
= 3x - 3
c)
g(-5) - f(-5)
Putting x = -5 in g(x) = 2 - x
g(x) = 2 - x
g(-5) = 2 - (-5) = 2+5 = 7
Putting x = -5 in f(x) = 2x - 1
f(x) = 2x - 1
f(-5) = 2(-5) - 1
= -10 - 1
= -11
Thus,
g(-5) - f(-5) = 7 - (-11) = 7+11 = 18
d)
f(x).g(x) = (2x - 1) (2 - x) = -2x² + 5x - 2
e)
f(g(x)) = f(2-x)
= 2(2-x)-1
= 4-2x-1
= 3-2x
Consider the line y = 2x + 1, shown at the right. Notice that this slope will be the same if the points (1,3) and (2, 5) are used for the calculations. For straight lines, the rate of change<span> (slope) is constant (always the same). For every one unit that is moved on the x-axis, two units are moved on the y-axis.hope this helped. </span>
Answer:
The y intercept, (0,400) represents the amount of money the radio station originally had. The x-intercept, (8,0), represents the amount of weeks it will take for the radio station to have $0 left.
Step-by-step explanation:
