Answer:
3x-2y=-4 is the equation of the slope intercept line.
Step-by-step explanation:
The passing through point (4,8)=(x1,y1)
Slope(m)=3/2
the equation is
or (y-y1)=m(x-x1)
or (y-8)=3/2(x-4)
or 2y-16=3x-12
or 2y-3x=16-12
or 2y-3x=4
or -(3x+2y)=4
or 3x-2y=-4
This is the Final equation of that line..
Answer: A) 480
Step-by-step explanation:
x=20 substitute in the two equations
48(20)+37
24(20)+37
since the question said fewer , then you should subtract
48(20)+37 - 24(20)+37 = (960+37) - (480+37)
=923 - 443= 480
Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:
![a_n=7\cdot \:2^{n-1}](https://tex.z-dn.net/?f=a_n%3D7%5Ccdot%20%5C%3A2%5E%7Bn-1%7D)
Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by
![a_n=a_1\cdot r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%5Ccdot%20r%5E%7Bn-1%7D)
where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms
![\frac{14}{7}=2,\:\quad \frac{28}{14}=2](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B7%7D%3D2%2C%5C%3A%5Cquad%20%5Cfrac%7B28%7D%7B14%7D%3D2)
The ratio of all the adjacent terms is the same and equal to
![r=2](https://tex.z-dn.net/?f=r%3D2)
now substituting r = 2 and a₁ = 7 in the nth term
![a_n=a_1\cdot r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%5Ccdot%20r%5E%7Bn-1%7D)
![a_n=7\cdot \:2^{n-1}](https://tex.z-dn.net/?f=a_n%3D7%5Ccdot%20%5C%3A2%5E%7Bn-1%7D)
Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:
![a_n=7\cdot \:2^{n-1}](https://tex.z-dn.net/?f=a_n%3D7%5Ccdot%20%5C%3A2%5E%7Bn-1%7D)
Answer:
Step-by-step explanation:
the formula for the circumference of a circle is 2rπ
the formula for the area of a circle is (r^2)π
the formula for the diameter of a circle is 2r
π=3.14
---------------------------------------------------------------
1. diameter =2r. since diameter=24, r=12
2. circumference=2rπ. since circumference = 314. 314=2rπ r=49.9746
3. circumference=2rπ area=(r^2)π
since r=7, circumference=14π=43.98229 since r=7, area is 49π=153.9380
4. Since the diameter is 20 the radius is 10. so just insert it into the formulas as before: circumference=20π=62.8318 and area=100π=314.15926
5. the formula for the diameter is 2r=d 2(18)=d, 36=d
6. 2rπ=circumference = 2(5)π=10π=31.415926
Hope that helps :)
Answer:
(5, 10 ) ( 2, 25 )
Step-by-step explanation: