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umka21 [38]
2 years ago
6

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y– 1 =1/4 (x – 12). What is the sta

ndard form of the equation for this line?
x - 4y = 8
x - 4y = 2
4x - y = 8
4x - y = 2 ​
Mathematics
1 answer:
Lorico [155]2 years ago
5 0

Answer:

x-4y = 8

Step-by-step explanation:

y– 1 =1/4 (x – 12)

Multiply each side by 4

4y -4 = x-12

Subtract x from each side

-x +4y -4 = -12

Add 4 to each side

-x+4y -4+4 = -12 +4

-x+4y = -8

Multiply by -1

x-4y = 8

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The large clock below hangs in Isaac's living room. If the radius of this clock is 3.5 feet, what is its circumference? Round yo
Degger [83]

Answer:

22.0

Step-by-step explanation:

knowing the radius is 3.5 -

and the formula for the circumfrence -

2 pi r

we can then use the radius -

2 * 3.14 * 3.5

which is 21.98 -

rounding to 22.0

hope this helps!!

3 0
2 years ago
Read 2 more answers
In a group of people, some are in favor of a tax increase on rich people to reduce the federal deficit and others are against it
jek_recluse [69]

Answer:

There will be 8 possible outcomes.

Step-by-step explanation:

(Assume that there is no other outcome such as "no opinion" and "do not know.")

3 persons are selected at random from this group and their opinions in favor or against raising such taxes are noted.

So, the number of possible outcomes are = 2\times2\times2=8

YYY, YYN, YNY, NYY, YNN, NNY, NYN, NNN

Y = Yes and N = No

Therefore, there will be 8 possible outcomes.

4 0
2 years ago
Find the equation of the line that passes through the point and is perpendicular to the line 3d
professor190 [17]
This on is very easy go to my website so i can explain it better for you

 <span>https://www.youtube.com/channel/UCaxhPMTZBmFcxAZ4hYpBf_w 
</span>
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7 0
3 years ago
Could some one help me plz
AlladinOne [14]
X=2.5
Because y ok get 5x-8 for the triangle and x+2 for the square set them up to 5x-8=x+2 and you solve yo get 4x=10 and once you divide you get 2.5
7 0
2 years ago
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help
VMariaS [17]

Answer: a) 8.779 years

               b) 8.664 years

<u>Step-by-step explanation:</u>

a)

A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}

  • A: accumulated amount (balance)
  • P: principal amount (original/initial investment)
  • r: interest rate (convert to a decimal)
  • n: number of times compounded per year
  • t: number of years

Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}

b)  

A=Pe^{rt}

1800=900e^{0.08t}\\\\\\2=e^{0.08t}\\\\\\ln\ 2=0.08t\\\\\\\dfrac{ln\ 2}{0.08}=t\\\\\\\large\boxed{8.664=t}

4 0
2 years ago
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