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Elden [556K]
3 years ago
9

The slope was found using the points (6.4, 117) and (6.6, 120). What is the value of b in the equation of the trend line?

Mathematics
1 answer:
Lyrx [107]3 years ago
6 0

Answer:

21

Step-by-step explanation:

Equation of the given line y = 15x + b.

Points passing through the above line (6.4, 117) and (6.6, 120)

If these point pass through the given line.

These point should satisfy the equation.

plugging in value of one of the point (6.4, 117)  in the line y = 15x + b

we have

117 = 15*6.4 + b

=> 117 = 96 + b

=> 117 - 96 = b

=> b = 21

Thus, value of b in the given equation is 21.

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4 Consider the triangle below.
Maurinko [17]
<h2>=>> <u>Solution (part A</u>) :</h2>

Given :

▪︎Triangle AMG is an isosceles triangle.

▪︎Measure of segment AM = (x+1.4) inches

▪︎Measure of segment MG = (2x+0.1) inches

▪︎Measure of segment AG = (3x-0.4) inches

▪︎segment AG is the base of triangle AMG.

Since AG is the base of the isosceles triangle AMG, segment AM and segment MG will be equal.

Which means :

= \tt x + 1.4 = 2x + 0.1

= \tt x + 1.4 - 0.1 = 2x

=  \tt \: x + 1.3 = 2x

= \tt 1.3 = 2x - x

\color{plum} \hookrightarrow  \tt x = 1.3

Thus, the value of x = 1.3

Therefore :

▪︎The value of x = 1.3

<h2>=>> <u>Solution (Part B)</u> :</h2>

We know that :

▪︎The value of x = 1.3

Which means :

The length of the leg AM :

= \tt x + 1.4

= \tt 1.3 + 1.4

\color{plum} \tt leg \: AM= 2.7 \: inches

Thus, the length of the leg AM = 2.7 inches

The length of leg MG :

= \tt 2x + 0.1

=  \tt2 \times 1.3 + 0.1

= \tt 2.6 + 0.1

\color{plum} \tt\: leg \:MG = 2.7 \: inches

Thus, the length of the leg MG = 2.7 inches

Since the measure of the two legs are equal (2.7=2.7), we can conclude that we have found out the correct length of each leg.

Therefore :

▪︎Measure of leg AM = 2.7 inches

▪︎Measure of leg MG = 2.7 inches

<h2>=>> <u>Solution </u><u>(</u><u>part C</u><u>)</u> :</h2>

We know that :

Value of x = 1.3

Then, measure of the base AG :

=  \tt 3x - 0.4

= \tt 3 \times 1.3 - 0.4

= \tt 3.9 - 0.4

\color{plum}\tt \: Base  \: AG = 3.5 \:  inches

Thus, the measure of the base = 3.5 inches

Therefore :

▪︎ the length of base AG = 3.5 inches.

6 0
3 years ago
B.<br> f(x) = -1x - 4; Find f(-3)
Margaret [11]

Answer:

f(-3) = -1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Functions
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = -1x - 4

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function f(x)]:                                                                          f(-3) = -1(-3) - 4
  2. Multiply:                                                                                                             f(-3) = 3 - 4
  3. Subtract:                                                                                                            f(-3) = -1
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3 years ago
Y = -x + 3<br> What is the slope for this?
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The slope for this equation is x=3
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What are 1x3 and 1x3 combined?
goldenfox [79]

Answer:

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Step-by-step explanation:

4 0
3 years ago
What is the value of x?
Oxana [17]

Answer:

180-45= 135

2x-5 = 135

2x = 140

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