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2 years ago

In the coordinate plane below, quadrilateral PQRS is reflected over the x-axis. Which segment is segment QR congruent to?

Mathematics

1 answer:

Deffense [45]2 years ago

4 0

Answer:

Q'R'

Step-by-step explanation:

Given

Quadrilateral PQRS

Reflected over x-axis

Required

Congruent side to QR

This question has a missing attachment, but can still be solved without the attachment.

When a shape is reflected, the sides and the angles of the shape remain unchanged.

This means that when PQRS is reflected to give P'Q'R'S, the following sides will be congruent.

$PQ = P'Q'$

$QR = Q'R'$

$RS = R'S'$

$SP = S'P'$

<em>Hence, QR will be congruent to Q'R'</em>

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Without sketching the graph, find the x intercepts and y-intercepts of the graph of the equation 2x+3y=12 What isjare the x-inte

den301095 [7]

Answer:

x-intercept: (6,0)

y-intercept: (0,4)

Step-by-step explanation:

The x-intercepts lay on the x-axis and therefore their y-coordinate is 0.

To find the x-intercept, you set y to 0 and solve for x.

2x+3y=12

Set y=0.

2x+3(0)=12

2x+0 =12

2x =12

Divide both sides by 2:

x =12/2

x =6

The x-intercept is (x,y)=(6,0).

The y-intercepts lay on the y-axis and therefore their x-coordinate is 0.

To find the y-intercept, you set x to 0 solve for y.

2x+3y=12

2(0)+3y=12

0+3y =12

3y =12

Divide both sides by 3:

y =12/3

y =4

The y-intercept is (0,4).

8 0

3 years ago

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.

8 0

2 years ago

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geniusboy [140]

Answer:

Step-by-step explanation:

11 times 11 = 121

11 times 12 equals 132

11 times 13 = 143

7 0

3 years ago

Read 2 more answers

Factor and quadratic formula of 2x^2-11x=-5

katen-ka-za [31]

Answer:

x = 5

x = 0.5

Step-by-step explanation:

2x2 - 11x + 5 = 0

Roots: 5, 0.5

Root Pair: 11/4 ± 9/4

Factored: f(x) = 2(x - 5)(x - 0.5)

5 0

3 years ago

Find four consecutive integers such that twice the sum of the first and third is

disa [49]

Answer:

Hi,Can You answer mine too please I really need the answer because I have to pass it tomorrow morning at my 1st class:(can you please check my question I'll mark you BRAINLIEST:)I hope you can help me:)

Step-by-step explanation:

about your question I'll just put it in the comment section:)

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2 years ago