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Artemon [7]
3 years ago
15

LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=6x+9and MP=9x−6

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The diagonals of a rectangle are congruent, thus

MP = LN , substitute values

9x - 6 = 6x + 9 ( subtract 6x from both sides )

3x - 6 = 9 ( add 6 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Thus

MP = 9(5) - 6 = 45 - 6 = 39 and LN = 6(5) + 9 = 30 + 9 = 39

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Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 9)? T
egoroff_w [7]

Answer:

The graph of y = f(x) will shift to the right 9 units.

Step-by-step explanation:

Despite some lack of clarity, because usually this equality is in terms of x and y. Let's do it.

Taking f(x) as its parent function in other words

y=f(x)

Testing some values:

x|y

0|0

1|1

2|2

Adding to the function  -9 units is to shift it to the right

y=f(x-9)

Testing some values to certify:

x|y

-9|0-9

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3 years ago
Find the slope of the line passing through the given points ​
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Step-by-step explanation:

Slope= y2-y1/x2-x1

3 0
3 years ago
Read 2 more answers
The florist charges $31.75 for eight roses and five carnations. For one rose and three carnations, it cost $5.75. What is the co
Sedbober [7]

Cost for a carnation is $0.75

Step-by-step explanation:

Let,

Rose = x

Carnation = y

According to given statement;

8x+5y=31.75   Eqn 1

x+3y=5.75   Eqn 2

Multiplying\ Eqn\ 2\ by\ 8\\8(x+3y=5.75)\\8x+24y=46 \ \ \ Eqn\ 3\\Subtracting\ Eqn\ 1\ from\ Eqn\ 3\\(8x+24y)-(8x+5y)=46-31.75\\8x+24y-8x-5y=14.25\\19y=14.25\\Dividing\ both\ sides\ by\ 19\\\frac{19y}{19}=\frac{14.25}{19}\\y=0.75

Cost for a carnation is $0.75

Keywords: Linear equations, Addition

Learn more about linear equations at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

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3 years ago
A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. how much gas can the pressure vessel hold when fu
bezimeni [28]

Step-by-step explanation:

the volume of a cylinder is as for any other regular 3D object :

ground area ×height

the ground area of a cylinder is a circle, so it is

pi×radius² × height

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radius = 6/2 = 3 ft.

the volume is then

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so, the answer is 81pi ft³.

8 0
2 years ago
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