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2 years ago

A line includes the points (7,4) and (8,6). What is it’s equation in slope- intercept form?

Mathematics

1 answer:

coldgirl [10]2 years ago

3 0

Answer:

Step-by-step explanation:

First you have to find the slope

M= y2-y1/ x2-x1.

6-4 / 8-7 = 2/1 or 2

Then you pick one set of coordinates and plug the information into the formula. It doesn't matter which set you use as long as you plug the information in correctly.

I will choose (6,4)

Slope intercept formula is y-y1 =m(x-x1)

Y-4=2(x-6)

Then you simplify.

Y-4=2x-12

+4. +4

Y=2x-8 is your solution.

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John looked at his bank account and noticed that he had $2,029.90 in his account. All that he could remember is that he created

Over [174]

We will have that for the previous year, he had in the account:

$m_{y6}=2029.90-\frac{2029.90\cdot6}{100}\Rightarrow m_{y6}=1908.106$

For the year previous to that one, he had:

$m_{y5}=1908.106-\frac{1908.106\cdot6}{100}\Rightarrow m_{y5}=1793.61964$

For the previous year to that, he had:

$m_{y4}=1793.61964-\frac{1793.61964\cdot6}{100}\Rightarrow m_{y4}=1686.002462$

For the year previous to that one, he had:

$m_{y3}=1686.002462-\frac{1686.002462\cdot6}{100}\Rightarrow m_{y3}=1584.842314$

For the second year that the money was in the account, there was:

$m_{y2}=1584.842314-\frac{1584.842314\cdot6}{100}\Rightarrow m_{y2}=1489.751775$

And the orinial ammount of money that was in the account was:

$m_{y1}=1489.751775-\frac{1489.751775\cdot6}{100}\Rightarrow m_{y1}=1400.366669$

From this, we know that Jhon had originally $1400.37 in the bank account.

6 0

6 months ago

Please answer quickly<br>expand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)

Gekata [30.6K]

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

5 0

2 years ago

M/J Grade 8 Pre-Algebra-PT-FL-1205070-003

Andreas93 [3]

Answer:

Following are the description of the given course code:

Step-by-step explanation:

The given course code is Pre-Algebra, which is just an introduction arithmetic course programs to train high school in the Algebra 1. This course aims to strengthen required problem solving skills, datatypes, equations, as well as graphing.

In this course students start to see the "big picture" of maths but also understand that mathematical, algorithmic, and angular principles are intertwined to form a basis for higher mathematics education.
The duration of this code is in year and it is divided into two levels. In this, code it includes PreK to 12 Education Courses , with the general mathematics .

5 0

2 years ago

Tomas ia savin $17.00 each week to buy new sewing machine that costs 175.50.How many weeks will he have to save to have enough m

MatroZZZ [7]

X=number of weeks
We can suggest this inequation:
17x>175.5
x>175.5/17>10.323>11 (the solution have to be a whole number, therefore the answer will be 11 weeks or more)

Answer: Tomas need save money during 11 weeks.

4 0

2 years ago

if alpha and beta are zeros of the polynomial x² - 6 X + k find k such that (alpha+beta)²-2alha beta =40

lidiya [134]

Answer:

k = - 2

Step-by-step explanation:

Given α and β are the zeros of x² - 6x + k = 0 , with

a = 1, b = - 6 and c = k , then

α + β = - $\frac{b}{a}$ = - $\frac{-6}{1}$ = 6