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Lapatulllka [165]
3 years ago
13

C.(x,y) (x-5,y+3) D.(x,y) (x+3,y-5) Geometry math question

Mathematics
2 answers:
laiz [17]3 years ago
8 0

The correct answer is D. (x,y) -> (x + 5,y - 3) because R(-4,0); R'(1,-3); -4 + 5 = 1 and 0 -3 = -3;

stepladder [879]3 years ago
3 0

The correct answer is D. (x,y) -> (x + 5,y - 3) because R(-4,0); R'(1,-3); -4 + 5 = 1 and 0 -3 = -3;

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A number that can be written as a fraction is a_______
AveGali [126]

A rational number can be writen as a fraction.

3 0
3 years ago
What is an equation of the line that passes through the points (-4, 2) and<br> (-8,3)?
inn [45]

Answer:

y = --0.25x + 1

Step-by-step explanation:

In order to find the equation of a line, you must first find the slope of the line.

The equation to find slope is  \frac{y_2 - y_1}{x_2 - x_1}.

Plug in the given points:

(x2, y2) = (-8,3)

(x1, y1) = (-4,2)

(y2 - y1) / (x2 - x1) = (3-1)/ (-8 - -4) = (3-2) / (-8 + 4) = 1/-4 = -0.25

Next, you solve for the y-intercept using one of the two coordinates:

y = -0.25x + b

2 = -0.25(-4) + b

2 = 1 + b

b = 2 - 1 = 1

y = -0.25x + 1

4 0
3 years ago
Determine the horizontal vertical and slant asymptote y=x^2+2x-3/x-7
lilavasa [31]

Answer:

<h2>A.Vertical:x=7</h2><h2>Slant:y=x+9</h2>

Step-by-step explanation:

f(x)=\dfrac{x^2+2x-3}{x-7}\\\\vertical\ asymptote:\\\\x-7=0\qquad\text{add 7 to both sides}\\\\\boxed{x=7}\\\\horizontal\ asymptote:\\\\\lim\limits_{x\to\pm\infty}\dfrac{x^2+2x-3}{x-7}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(1+\frac{2}{x}-\frac{3}{x^2}\right)}{x\left(1-\frac{7}{x}\right)}=\lim\limits_{x\to\pm\infty}\dfrac{x\left(1+\frac{2}{x}-\frac{3}{x^2}\right)}{1-\frac{7}{x}}=\pm\infty\\\\\boxed{not\ exist}

slant\ asymptote:\\\\y=ax+b\\\\a=\lim\limits_{x\to\pm\infty}\dfrac{f(x)}{x}\\\\b=\lim\limits_{x\to\pm\infty}(f(x)-ax)\\\\a=\lim\limits_{x\to\pm\infty}\dfrac{\frac{x^2+2x-3}{x-7}}{x}=\lim\limits_{x\to\pm\infty}\dfrac{x^2+2x-3}{x(x-7)}=\lim\limits_{x\to\pm\infty}\dfrac{x^2+2x-3}{x^2-7x}\\\\=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(1+\frac{2}{x}-\frac{3}{x^2}\right)}{x^2\left(1-\frac{7}{x}\right)}=\lim\limits_{x\to\pm\infty}\dfrac{1+\frac{2}{x}-\frac{3}{x^2}}{1-\frac{7}{x}}=\dfrac{1}{1}=1

b=\lim\limits_{x\to\pm\infty}\left(\dfrac{x^2+2x-3}{x-7}-1x\right)=\lim\limits_{x\to\pm\infty}\left(\dfrac{x^2+2x-3}{x-7}-\dfrac{x(x-7)}{x-7}\right)\\\\=\lim\limits_{x\to\pm\infty}\left(\dfrac{x^2+2x-3}{x-7}-\dfrac{x^2-7x}{x-7}\right)=\lim\limits_{x\to\pm\infty}\dfrac{x^2+2x-3-(x^2-7x)}{x-7}\\\\=\lim\limits_{x\to\pm\infty}\dfrac{x^2+2x-3-x^2+7x}{x-7}=\lim\limits_{x\to\pm\infty}\dfrac{9x-3}{x-7}=\lim\limits_{x\to\pm\infty}\dfrac{x\left(9-\frac{3}{x}\right)}{x\left(1-\frac{7}{x}\right)}

=\lim\limits_{x\to\pm\infty}\dfrac{9-\frac{3}{x}}{1-\frac{7}{x}}=\dfrac{9}{1}=9\\\\\boxed{y=1x+9}

8 0
3 years ago
Find the value of b. Then find the angle measures of the pentagon.
melamori03 [73]

Answer:

b = 90

Step-by-step explanation:

Sum the interior angles of the pentagon and equate to 540

Starting from the top and going clockwise

b + b + 45 + 90 + 2b - 90 + \frac{3}{2} b = 540 ← simplify left side

\frac{11}{2} b + 45 = 540 ( multiply through by 2 to clear the fraction )

11b + 90 = 1080 ( subtract 90 from both sides )

11b = 990 ( divide both sides by 11 )

b = 90

Thus

b + 45 = 90 + 45 = 135

2b - 90 = 2(90) - 90 = 180 - 90 = 90

\frac{3}{2} b = \frac{3}{2} × 90 = 135

The angle measure from the top clockwise are

90°, 135°, 90°, 90°, 135°

7 0
2 years ago
The variable Z is directly proportional to X. When X is 6, Z has the value 18. What is the value of Z when X=10
const2013 [10]
Make a proportion
6/18 = 10/z
Cross multiply
180 = 6z
180/6 = z
Z = 30
7 0
3 years ago
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