Answer:
m = 7h + 10
Step-by-step explanation:
Since m is representing the total amount of money he earned, we will leave that on one side. If h is the number of hours we worked, the coefficient of h is 7 because he earns 7 dollars an hour. The ten dollar tip is independent from the variables.
Answer:
Choice B: 
.
Step-by-step explanation:
For a parabola with vertex 
, the vertex form equation of that parabola in would be:
.
In this question, the vertex is 
, such that 
and 
. There would exist a constant 
such that the equation of this parabola would be:
.
The next step is to find the value of the constant .
Given that this parabola includes the point 
, 
and 
would need to satisfy the equation of this parabola, .
Substitute these two values into the equation for this parabola:
.
Solve this equation for :
.
.
Hence, the equation of this parabola would be:
.
Answer: $12.54
Step-by-step explanation:
you add $10.00 to 4.5% which gives you $10.45
and then you add 20% on to that and you get $12.54
Answer:
Step-by-step explanation:
GH : √(8-4)^2 + (2-5)^2 = √16+9 = √25 = 5
HI : √(-6-2)^2 + (2-8)^2 = √64+36 = √100 = 10
IJ : √(-2-2)^2 + (-3+6)^2 = √16 + 9 = √25 = 5
JH : √(-2-4)^2 + (-3-5)^2 = √36 + 64 = √100 = 10
Slope of the line that contains GH
(2-5)/(8-4) = -3/4
Slope of the line that contains HI
(-6-2) / (2-8) = 8/6 = 4/3
I calculated the distance between points. Thanks to that I noticed that the opposite sides are congruent, so the quadrilateral can be a rectangle or a parallelogram. So I found the slope of the lines that contain two consecutive sides and I discovered that are perpendicular. So the quadrilateral is a rectangle because its angles are all of 90 degrees
The side length of s on the same square would be P = 4a
