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Bumek [7]
3 years ago
9

The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y plus 7 equals negative StartFrac

tion 2 over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.. What is the standard form of the equation for this line?
Mathematics
2 answers:
user100 [1]3 years ago
3 0

Answer:

2x + 5y = - 15

Step-by-step explanation:

The line that passes through (–5, –1) and (10, –7) points and the point-slope form of the equation is y + 7 = - \frac{2}{5}(x - 10).

Now, we have to arrange this in the standard form.

So, y + 7 = - \frac{2}{5}(x - 10)

⇒ 5(y + 7) = - 2(x - 10)

⇒ 5y + 35 = - 2x + 20

⇒ 2x + 5y = - 15 (Answer)

Komok [63]3 years ago
3 0

Answer:

3rd option: 2x + 5y = -15

Step-by-step explanation:

edgen2020

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What is the product of 8.2 x 10^2 and 3.4 x 10^5
Anuta_ua [19.1K]

Answer:

278,800,000 (Real Number) or 2.788 *10^8 (Scientific Notation)

Concepts:

  • - Order of Operations

Parenthesis: ( )

Exponents: x²

Multiplication: ×

Division: ÷

Addition: +

Subtraction: -

Step-by-Step Solution:

8.2*10^2*3.4*10^5

Simplify exponents and square roots

8.2*10^2*3.4*10^5

8.2*10^2*3.4*100000

8.2*100*3.4*100000

820*3.4*100000

2788*100000

278800000

<h2>Answer:</h2>

278,800,000

Why learn this:

  • Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your math studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!

Terms and topics

  • Order of operations

8 0
3 years ago
Last year, 30% of the people who applied at a college were accepted. If 690 people were accepted, how many people applied?
Licemer1 [7]

Answer:

207 people applied

Step-by-step explanation:

690*30/100=207

690peole multiplied by 30 divide by 100=207 . I hope it's perfect .

4 0
3 years ago
Suppose you deposit $6000 in an account with an annual interest rate of 4%. If the
Sedaia [141]

Answer:

5760

Step-by-step explanation:

7 0
3 years ago
Help me answer this please!!
pshichka [43]
I would say 53 minutes yup

3 0
3 years ago
Which of the following equations best represents the regression line for the data given in the table above?
navik [9.2K]

B. y = 3x - 2

Step-by-step explanation:

A linear regression line is in form of Y=A+Bx where B is the slope of the line and A is the intercept when x=0

Form a table as shown

x          y        xy           x²         y²

1           4         4            1          16

2           1          2           4          1

3           5         15          9        25

4           10        40        16        100

5           16        80        25      256

6            19        114       36       361

7            15        105       49      225

28          70       360      140     984 ------sum

From the table;

n=7 ---number of data points

∑x = 28

∑y=70

∑xy =360

∑x² =140

∑y² = 984

Applying equations for A and B

A=(∑y)(∑x²) - (∑x)(∑xy) / n (∑x²)-(∑x)²

A=(70)(140) - (28)(360) / 7(140)-(28²)

A=9800 - 10080 / 980-784

A= -280 /196

A= -1.43

B= n(∑xy)-(∑x)(∑y)  / n(∑x²)-(∑x)²

B=7(360)-(28)(70) / 7(140) - (28²)

B=2520-1960 /980-784

B=560/196

B=2.86

The equation will be;

Y=A+Bx

Y=-1.43+2.86x

Y=2.86x-1.43

Learn More

Regression line : brainly.com/question/12280902

Keywords : equations, regression line, data, table

#LearnwithBrainly

7 0
3 years ago
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