Answer:
g(x) = 12x + 27
Step-by-step explanation:
Take a point in the f(x).
f(0) = 12(0) + 3
f(0) = 3
A point on f(x) is (0,3).
Move the point 2 units left. It will make the x-coordinate decrease by 2.
0 - 2 = -2
A point on g(x) is (-2,3).
Substitute the point and the same slope into the equation of a line. The slope did not change.
y = mx + b
3 = 12(-2) + b
3 = -24 + b
b = 3 + 24
b = 27
Rewrite g(x) using b = 27 and the same slope, m = 12.
g(x) = 12x + 27
Answer:
3.70 < 3.702 < 3 10/11 < 79/20
Step-by-step explanation:
Answer:
187 cm²
Step-by-step explanation:
The bottom rectangle area is easy, it is 15*9 = 135 cm².
To find the area of the triangle, you only need the base width and its height (you don't need the hypotenuse). You can then use the formula: area triangle is base times half height.
The base width is 15-7 = 8 cm
The height is 22-9 = 13 cm
So the area of the triangle is 13*8/2 = 52 cm²
Together with the 135 of the rectangle that sums to 52+135 = 187 cm².
Answer:
The numbers are 9, 19 and 76.
Step-by-step explanation:
Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.
The first number in terms of x:

The second number in terms of x:

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:


The first number is 9, second number 19 and the third number 76.
Answer:
I think it is C I don't really know but try C