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mina [271]
4 years ago
11

What is the equation of the line that passes through the points (-1,2) and (6,3) in slope intercept form

Mathematics
1 answer:
Fantom [35]4 years ago
8 0

\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ &&(~ -1 &,& 2~) &&(~ 6 &,& 3~) \end{array} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-2}{6-(-1)}\implies \cfrac{3-2}{6+1}\implies \cfrac{1}{7} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-2=\cfrac{1}{7}[x-(-1)]\implies y-2=\cfrac{1}{7}(x+1) \\\\\\ y-2=\cfrac{1}{7}x+\cfrac{1}{7}\implies y=\cfrac{1}{7}x+\cfrac{1}{7}+2\implies y=\cfrac{1}{7}x+\cfrac{15}{7}

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Calculate the future value of $500.20, earning interest at a rate of 3 7/8% that is compounded monthly for 4 years.
KATRIN_1 [288]

Answer:

584.03

Step-by-step explanation:

Given that principal amount = 500.20 dollars

Interest rate = 3 7/8% p.a.= 3100/8(12) per month

Period = 4 years = 4(12) = 48 months.

A= P(1+r/n)^nt

Here n = 12 t = 4 years.

Substitute to get

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6 0
4 years ago
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DaniilM [7]

Answer: C

Step-by-step explanation:

Length: 6in

Width: 8in

Height: 9in

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3 0
3 years ago
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jeyben [28]

x = number of weeks which is some positive whole number

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50x+800 = add on the 800 she already has

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5 0
3 years ago
The lengths of the sides of a triangle are in a the extended ratio of 3:6:8. The triangles perimeter is 510cm. What are the leng
lisov135 [29]
I think
(Total)
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(Times by 30 to get total then you times by each ratio/side)


90 : 180 : 240= 510cm
6 0
3 years ago
What is 2x - 5 =7 please help me I need it in 10 mins
goldenfox [79]
2x - 5 = 7
2x = 7 + 5
2x = 12
2x/2 = 12/2
x = 6

to check:
2x - 5 = 7
2(6) - 5 = 7
12 - 5 = 7
7 = 7
4 0
4 years ago
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