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2 years ago

Dani's estimate for the cost of tiling her bathroom floor is $100 plus $5 per square foot.

Mathematics

1 answer:

polet [3.4K]2 years ago

5 0

Answer:

y=5x+100

Step-by-step explanation:

x represents every square foot

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Write the equation of a line that passes through the points (−3, 7) and (3, 3)

Dennis_Churaev [7]

Step-by-step explanation:

You can write an equation of a line conveniently by point-slope form. It's in the form of $y -a = m(x -b)$ where $(b,a)$ is the coordinates of a point that's on the line and $m$ is the slope of the line.

Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose $(-3,7)$ where $a = 7$ and $b = -3$

$y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)$

The next thing we have to do now is finding the slope, $m$ , where it's equal to $\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\$ . I'll make $(-3,7)$ point 1 and $(3,3)$ point 2.

$m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}$

Now let's plug that to our equation.

$y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)$

Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.

$y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5$

<h3>Answer:</h3>

$y = -\frac{2}{3}x +5\\$ is your equation.

3 0

2 years ago

Determine the Cartesian coordinates of the points with polar coordinates (\sqrt{2}, \pi/4 ), (0, \pi), (-1,400\pi), and ( 2\sqrt

yarga [219]

Answer:

Step-by-step explanation:

We have the conversion from polar coordinates to cartesian as

x =rcost and y = rsint where (r,t) are the polar coordinates

Also all trignometric functions are periodic with period = 2pi

Using this we find out

$(\sqrt{2}, \pi/4 ) = (\sqrt{2}cos \pi/4, \sqrt{2}cos \pi/4,)=(1,1)\\ (0, \pi), (-1,400\pi),=(0 cos 1400 \pi, 0 sin 1400\pi)\\= (0, 0)\\\\ ( 2\sqrt{3},- 2\pi / 3) = (2\sqrt{3}, cos2\pi / 3, 2\sqrt{3},sin2\pi / 3))\\=(-\sqrt{3}, 3)$

Thus we converted polar to rectangular coordinates.

Reverse would be

from (x,y) to (r,t) as

$r=\sqrt{x^2+y^2} \\tant = y/x$

8 0

2 years ago

2(2x - 8) = x - 46 ?

Anna [14]

Answer: X = -10

Step-by-step explanation:

Times two to the parentheses

Minus X from both sides, left with 3X-16=-46

Add 16 to both sides 3X=-30

Divide both sides by 3

Answer X=-10

4 0

2 years ago

Read 2 more answers

Line segment AB has a slope of 4/3 and contains point A (6,-5). What is the y-coordinate of point Q(2, y) if QA is perpendicular

timofeeve [1]

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope~of~AB}{\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{4}}}\impliedby \textit{slope of QA} \\\\[-0.35em] ~\dotfill$

$\bf A(\stackrel{x_1}{6}~,~\stackrel{y_1}{-5})\qquad Q(\stackrel{x_2}{2}~,~\stackrel{y_2}{y}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-(-5)}{2-6}=\stackrel{\textit{QA's slope}}{-\cfrac{3}{4}}\implies \cfrac{y+5}{-4}=\cfrac{-3}{4} \\\\\\ 4y+20=12\implies 4y=-8\implies y=\cfrac{-8}{4}\implies \boxed{y=-2}$

8 0

2 years ago

Anyone know this pls help me

Ksju [112]

The correct answer is -4, I hope this helped:)

8 0

2 years ago