Answer:
60
Step-by-step explanation:
rate of change of graph,df(x)/dx
=(120-0)/(3-1)=60
Answer:
y=2x-5
Step-by-step explanation:
The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.
To find b use the equation
. So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.
So, plug in the values to get the final equation y=2x-5.
Okay we know that tangent-chords creat 90 degree angles so what we have is a right triangle with a base of 9 and a height of 12, so do Pythoagoreas Theorem and we have 81+144=225 square root of 225 is 15 and that is AJ
Answer:
![157\ in^{2}](https://tex.z-dn.net/?f=157%5C%20in%5E%7B2%7D)
Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle plus the area of two semicircles
<u>The area of rectangle is equal to</u>
![A=14*5=70\ in^{2}](https://tex.z-dn.net/?f=A%3D14%2A5%3D70%5C%20in%5E%7B2%7D)
<u>The area of the small semicircle is equal to</u>
![A=\pi r^{2} /2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D%20%2F2)
-----> radius is half the diameter
substitute
![A=(3.14)(2.5^{2})/2=9.8125 in^{2}](https://tex.z-dn.net/?f=A%3D%283.14%29%282.5%5E%7B2%7D%29%2F2%3D9.8125%20in%5E%7B2%7D)
<u>The area of the larger semicircle is equal to</u>
![A=\pi r^{2} /2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D%20%2F2)
-----> radius is half the diameter
substitute
![A=(3.14)(7^{2})/2=76.93\ in^{2}](https://tex.z-dn.net/?f=A%3D%283.14%29%287%5E%7B2%7D%29%2F2%3D76.93%5C%20in%5E%7B2%7D)
The area of the figure is equal to
![70+9.8125+76.93=156.7425=157\ in^{2}](https://tex.z-dn.net/?f=70%2B9.8125%2B76.93%3D156.7425%3D157%5C%20in%5E%7B2%7D)
Answer:
2
Step-by-step explanation:
2 is 2.
22 is 2•11.
The GCF is 2.