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2 years ago

6

A mural inspired by A photographer measures 108 inches by 180 inches the scale factor is 12 what are the dimensions of the photo

graph

1 answer:

Papessa [141]2 years ago

8 0

108in/12 = 9 in

180 in/12 = 15 in

The dimensions of the photograh are 9 in by 15 in

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Write an equation in slope-intercept form for the following line:<br> (-14.1) and (13,-2)

vesna_86 [32]

Answer:

$y=-\frac{1}{9}x-\frac{5}{9}$

Step-by-step explanation:

$(-14,1)(13,-2)$

Use the slope-intercept formula:

$y=mx+b$

m is the slope and b is the y-intercept. Use the slope formula first:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:

$(-14(x_{1}),1(y_{1}))\\(13(x_{2}),-2(y_{2}))$

$\frac{-2-1}{13-(-14)}$

Simplify parentheses (two negatives makes a positive):

$\frac{-2-1}{13+14}$

Simplify:

$\frac{-3}{27} =-\frac{3}{27}=-\frac{1}{9}$

The slope is $-\frac{1}{9}$ . Insert into the equation:

$y=-\frac{1}{9}x +b$

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

$(13,-2)\\-2=-\frac{1}{9} (13)+b$

Solve for b, the y-intercept. Simplify parentheses:

$-\frac{1}{9}*\frac{13}{1}=-\frac{13}{9}$

$-2=-\frac{13}{9} +b$

Add $-\frac{13}{9}$ to both sides:

$-2+\frac{13}{9}=-\frac{13}{9} +\frac{13}{9} +b\\\\-2+\frac{13}{9} =b$

Simplify:

$-\frac{2}{1} +\frac{13}{9}\\\\-\frac{18}{9}+\frac{13}{9}\\ \\b=-\frac{5}{9}$

The y-intercept is $-\frac{5}{9}$ . Insert this into the equation:

$y=-\frac{1}{9} x-\frac{5}{9}$

Finito.

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2 years ago

The diameter of a circle is 18m. Eugene claims that the circumstances of the circle is 113.04m. What is the circumference of the

pogonyaev

Answer:

The circumference is 56.52 m

Step-by-step explanation:

Eugene likely made the mistake of doubling the diameter thinking that it was the radius which gave the answer double the actual one. The equation for finding a circumference is C= $\pi$ D where d is equal to the diameter and c is the circumference. All you do is multiply 18 and 3.14 to get your answer.

4 0

2 years ago

Write the equation of a line that is perpendicular to -2/7x+9 that passes through the point (4, -6)

Anna11 [10]

Answer:

7y + 2x + 34 = 0

Step-by-step explanation:

The gradient for perpendicular, m = -2/7

The formular equation, y - y1 = m(x - x1)

The equation of line through (4, -6) is:

y - (-6) = -2/7(x - 4)

y + 6 = -2x/7 + 8/7

7y + 42 + 2x - 8 = 0

7y + 2x + 34 = 0

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2 years ago

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In how many ways can 12 books be displayed on a shelf if the given number of books are available

Cerrena [4.2K]

The answer is not applicable. theres not enough information. -fvmousskaylaa

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2 years ago

Solve 4(x + 1) = 4x + 4<br><br> A- No solution<br> B- 0<br> C- All real numbers<br> D- 1

Tcecarenko [31]

The answer is: c- all real numbers

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2 years ago