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3 years ago

Find two consecutive positive integers such that the sum of their squares is 421

Mathematics

1 answer:

alexandr402 [8]3 years ago

6 0

14 and 15
14^2 = 196
15^2 = 225
225+196 = 421

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What is the standard form of the points (-3,4) (2,-6)

Bas_tet [7]

The standard form equation of the line connecting the two points is $2x + y = -2$

Linear equation in a standard form is given as $Ax + By = C$

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1}$

where,

$(x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)$

Substitute

$slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2$

Step 2: Find the y-intercept (b) of the line by substituting $(x, y) = (-3,4)$ and $m = -2$ into $y = mx + b$ (slope-intercept form)

$4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2$

Step 3: Write the equation of the line in slope-intercept form by substituting $m = -2$ and $b = -2$ into $y = mx + b$

$y = -2x + (-2)\\y = -2x - 2$

Step 4: Rewrite the equation in standard form $(Ax + By = C)$

$y = -2x - 2\\$

Add $2x$ to both sides

$2x + y = -2x - 2 + 2x\\2x + y = -2$

The standard form equation of the points (-3,4) and (2,-6) is $2x + y = -2$

Learn more about standard form of two points of a linear equation here:

brainly.com/question/18446164

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3 years ago

if the length of a model car is 5 inches & the length of the actual car (real ) is 140 inches. write the scale factor?? 2 qu

Vaselesa [24]

Is this 2 questions or is it just one whole question?

6 0

3 years ago

Read 2 more answers

12. Simplify: 5x + 3y - 2y + 3xy + 5xy - 10x

Serggg [28]

Hey there!

$\textsf{5x + 3y - 2y + 3xy + 5xy - 10x}$

$\textsf{Combine like terms}$

$\textsf{(5x - 10x) + (3y - 2y) + (3xy + 5xy)}\\\mathsf{5x - 10x = -5x}\\\mathsf{3y - 2y = 1y}\\\mathsf{3xy + 5xy= 8xy}\\\boxed{\boxed{\mathsf{Answer: \bf{8xy-5x+y}}}}\huge\checkmark$

$\textsf{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

5 0

3 years ago

4 (2x-6)=10x-6. solve for x

Reika [66]

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*(2*x-6)-(10*x-6)=0

2x - 6 = 2 • (x - 3)

8 • (x - 3) - (10x - 6) = 0

-2x - 18 = -2 • (x + 9)

-2 • (x + 9) = 0

Solve : -2 = 0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :
Solve : x+9 = 0

Subtract 9 from both sides of the equation :
 x = -9

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3 years ago

Calculate the equation of a line passing through C(4;7) and D(9;17)

Ludmilka [50]

Answer:

it would be 10/5 or 2

Step-by-step explanation:

y2-y1/x2-x1

17-7/9-4

10/5 simplify

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3 years ago