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3 years ago

Which of the following is slope of the line that passes through the points (-1 , 10 ) and (5,2)

Mathematics

1 answer:

san4es73 [151]3 years ago

3 0

Answer:

$m=\frac{-4}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (-1, 10)

Point (5, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]: $m=\frac{2-10}{5+1}$
Subtract/Add: $m=\frac{-8}{6}$
Simplify: $m=\frac{-4}{3}$

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Can someone please help me :(

olchik [2.2K]

Answer:

Step-by-step explanation:

2x + 1 = -3x + 6

add 3x

5x + 1 = 6

subtract 1

5x=5

Divide by 5

x=1

If this is correct, please mark brainliest!

4 0

3 years ago

Read 2 more answers

Is the following relation linear, quadratic, or cubic? If it is linear, find the equation. Explain your reasoning and include al

Sergio [31]

The given relation is linear. Equation of the linear function; (Y-y1)/(x-x1)= m Or Y= 1/2x +2.

<h3>What is a linear equation?</h3>

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Where m is the slope and c is the y intercept.

WE have given R = {(x, y) : (2,3), (4,4), (6,5), (8,6), ...}

Let's use these two points to determine both the slope and the equation;

(2, 3), (4,4)

Slope= (y2-y1)/(x2-x1)

Slope= (4-3)/(4-2)

Slope= 1/2

Then Equation of the linear function;

(Y-y1)/(x-x1)= m

(Y-3)/(x-2)= 1/2

2(y-3) = x-2

2y -6 = x-2

2y= x-2+6

2y= x+4

Y= 1/2x +2

Hence, the given relation is linear. Equation of the linear function; (Y-y1)/(x-x1)= m Or Y= 1/2x +2.

Learn more about linear equations;

brainly.com/question/10413253

#SPJ1

8 0

2 years ago

Hiiii.. please help me with this limit question

Alenkasestr [34]

Answer:

Step-by-step explanation:

Solving without L'Hopital's rule:

lim(x→0) sin(π cos²x) / x²

Use Pythagorean identity:

lim(x→0) sin(π (1 − sin²x)) / x²

lim(x→0) sin(π − π sin²x) / x²

Use angle difference formula:

lim(x→0) [ sin(π) cos(-π sin²x) − cos(π) sin(-π sin²x) ] / x²

lim(x→0) -sin(-π sin²x) / x²

Use angle reflection formula:

lim(x→0) sin(π sin²x) / x²

Now we multiply by π sin²x / π sin²x.

lim(x→0) [ sin(π sin²x) / x² ] (π sin²x / π sin²x)

lim(x→0) [ sin(π sin²x) / π sin²x] (π sin²x / x²)

lim(x→0) [ sin(π sin²x) / π sin²x] lim(x→0) (π sin²x / x²)

π lim(x→0) [ sin(π sin²x) / π sin²x] [lim(x→0) (sin x / x)]²

Use identity lim(u→0) (sin u / u) = 1.

π (1) (1)²

Solving with L'Hopital's rule:

If we plug in x = 0, the limit evaluates to 0/0. So using L'Hopital's rule:

lim(x→0) [ cos(π cos²x) (-2π cos x sin x) ] / 2x

lim(x→0) [ -π cos(π cos²x) sin(2x) ] / 2x

-π/2 lim(x→0) [ cos(π cos²x) sin(2x) ] / x

Again, the limit evaluates to 0/0. So using L'Hopital's rule one more time:

-π/2 lim(x→0) [ cos(π cos²x) (2 cos(2x)) + (-sin(π cos²x) (-2π cos x sin x)) sin(2x) ] / 1

-π/2 lim(x→0) [ 2 cos(π cos²x) cos(2x) + π sin(π cos²x) sin²(2x) ]

-π/2 (-2)

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2 years ago

Alice Hall, who loves to cook, makes an apple cake (serves six) for her family. The recipe calls for 2 1/2 pounds of apples, 2 1

grandymaker [24]

2 1/2 pounds of apple makes serve 6
(2 1/2 x 24)/6 = 10 pounds of apple will make serve 24.

Therefore, she will use 10 pounds of apples.

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3 years ago

Aaron scored 452.65 marks out of 600 in the final examination. How many marks did he lose?

lana [24]

Answer:

He lost 147.35 marks

Step-by-step explanation:

Take the total marks and subtract the marks he got to find the marks he lost

600-452.65= 147.35

7 0

3 years ago

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