Answer:
64 inches
Step-by-step explanation:
5 * 12 = 60
60 + 4 = 64
If the graph has exactly the same shape, and just moved up 3 units,
the equation of this new graph is
f(x) = x² + 3
Answer: The slope of the line a is 3/4
Step-by-step explanation:
1. The equation of the line has the following form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where m is the slope and b is the y-intercept.
2. As you can see in the graph attached, the line intersect the y-axis at 1, therefore:
b=1
3. So, to calculate the slope, susbtitute: the value of b into the equation of the line and any point of the line and then solve for the slope:
Let's pick the point (4,4), then the slope is:
![4=m(4)+1\\4-1=4m\\3=4m\\m=\frac{3}{4}](https://tex.z-dn.net/?f=4%3Dm%284%29%2B1%5C%5C4-1%3D4m%5C%5C3%3D4m%5C%5Cm%3D%5Cfrac%7B3%7D%7B4%7D)
Answer:
Step-by-step explanation:
At the point where two line cut across, the vertically opposite angles formed are equal. This means that
2x degrees = 78 degrees
Dividing the left hand side and the right hand side of the equation by 2, it becomes
2x/2 = 78/2
x = 39
Checking,
The sum of the angles on a straight line is 180 degrees.
180 - 78 = 102 degrees
2x + 102 = 180
2x = 180 - 102 = 78
x = 78/2 = 39