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3 years ago

Alina is building a roof for a dog house. She uses plywood to make the roof with the dimensions shown, but with an open bottom.

Mathematics

1 answer:

mafiozo [28]3 years ago

6 0

Step-by-step explanation:

Alina is building a roof for a dog house with the dimensions shown. She uses plywood to make the roof with the dimensions shown, but with an open bottom.

A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.

Find the surface area of the roof.

The area of each triangular face is

✔ 6

ft2.

The surface area of the roof is

✔ 24

ft2.

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3 years ago

Identify the slope and Y intercept of each linear functions equations

frozen [14]

The slope and Y-intercept of each linear function's equation are as shown in the explanation below.

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<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

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Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}}$

$\texttt{ }$

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$\large {\boxed{y - y_1 = m ( x - x_1 )}}$

Let us tackle the problem.

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This problem is about Slope and Y-Intercepts of Linear Functions

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

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<h2>Option A</h2>

$y = 1 - 3x$

$y = -3x + 1$

<h3>slope = - 3</h3><h3>Y-Intercept at 1</h3>

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<h2>Option B</h2>

$x - 3 = y$

$y = 1x - 3$

<h3>slope = 1</h3><h3>Y-Intercept at -3</h3>

$\texttt{ }$

<h2>Option C</h2>

$y = 3x - 1$

<h3>slope = 3</h3><h3>Y-Intercept at -1</h3>

$\texttt{ }$

<h2>Option D</h2>

$-x + 3 = y$

$y = -1x + 3$

<h3>slope = -1</h3><h3>Y-Intercept at 3</h3>

$\texttt{ }$

<h3>Learn more</h3>

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

#LearnWithBrainly

6 0

3 years ago

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