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Nitella [24]
1 year ago
12

Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other

. Step 1: Calculate the slope of the diagonals. The slope of diagonal PS is . The slope of diagonal QR is . Step 2: Calculate the midpoint of the diagonals. The midpoint of PS is . The midpoint of QR is . The diagonals of the square are perpendicular bisectors because the diagonals are .
Mathematics
2 answers:
Soloha48 [4]1 year ago
7 0

Answer:

i did the assignment on edge, i hope this helps!   :)

Step-by-step explanation:

On a coordinate plane, square P Q R S is shown. It has points (0, 4), (4, 4), (0, 0), and (4, 0).

Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other.

Step 1: Calculate the slope of the diagonals.

The slope of diagonal PS is .  -1

The slope of diagonal QR is .  1

Step 2: Calculate the midpoint of the diagonals.  

The midpoint of PS is .  (2,2)

The midpoint of QR is .  (2,2)

The diagonals of the square are perpendicular bisectors because the diagonals are . perpendicular and share the same midpoint

const2013 [10]1 year ago
6 0

Answer:

The slope of diagonal PS is -1.

The slope of diagonal QR is 1.

The midpoint of PS is (2, 2).

The midpoint of QR is (2, 2).

Perpendicular and share the same midpoint.

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Answer:

Volume of cylinder =989 ft cube

Step-by-step explanation:

<u>Volume of cylinder</u>

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Length of pipe = 14 ft

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Volume V = πr²h

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alice drew two triangles on the coordinate plane as shown. Which series of transformation proves the two triangles are congruent
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Answer:

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Step-by-step explanation:

alice drew two triangles on the coordinate plane as shown. Which series of transformation proves the two triangles are congruent?

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After painting his porch, Jamil has \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fractionof a can of paint remaining. Th
Nadya [2.5K]
The height of the smaller can would need to be 12.8 cm.

First find the volume of the larger can of paint.  The volume of a cylinder is given by the formula
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Using the dimensions of the larger can, we have
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We will use this as the volume of the smaller can.  Substituting this in along with the radius of the smaller can (using the same volume formula), we have:
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Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6
lora16 [44]

Answer:

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Step-by-step explanation:

we have

f(x)=\frac{9x^{2}+9x-18}{3x+6}

Simplify

f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}

f(x)=3\frac{(x^{2}+x-2)}{(x+2)}

Step 1

Convert to a factored form the numerator

x^{2}+x-2=0    

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2}+x=2

Complete the square. Remember to balance the equation by adding the same constants to each side.

x^{2}+x+0.25=2+0.25

x^{2}+x+0.25=2.25

Rewrite as perfect squares

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Square root both sides

x+0.5=(+/-)1.5

x=-0.5(+/-)1.5

x=-0.5+1.5=1

x=-0.5-1.5=-2

so

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Step 2

Simplify the function f(x)

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The domain of the function f(x) is all real numbers except the number x=-2

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f(x)=3x-3  ------> with a discontinuity at x=-2

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The discontinuity is at point (-2,-9)

the answer in the attached figure

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