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3 years ago

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A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points L(−7,14) , M(9,14) , and N(9,−12) . Point

P is the fourth vertex of the rectangle.
How long is the side of the rectangle connecting points L and P?

Enter your answer in the box.

1 answer:

Nata [24]3 years ago

7 0

(-7,-12) i believe this is correct

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What is the value of y?<br><br> A. y = -1<br> B. y = 0<br> C. y = 1<br> D. y = 3

luda_lava [24]

KT is twice the length of TM.

Multiply TM by 2:

TM = 2y +6

Now set KT and TM to equal and solve:

5y +3 = 2y +6

Subtract 3 from each side:

5y = 2y +3

Subtract 2y from each side:

3y = 3

Divide both sides by 3:

y = 3/3

y = 1

The answer is C.

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A can do a piece of work in 4 hours and B can do it in 6 hours. How much time would they take working together to finish the wor

Kipish [7]

Answer:

2.4 hours

Step-by-step explanation:

Let total work = X

Rate of work done = X ÷ time

Rate of A = X/4

Rate of B = X/6

If they work together, rate is the sum of their individual rates, i.e.

X/4 + X/6

= (3X + 2X)/12 (taking LCM)

=5X/12

Rate = X/time

5X/12 = X/time

time = X÷(5X/12)

time = X × 12/(5X)

time = 2.4 hours

Shortcut:

Product of individual times/sum of individual times

= (4×6)/(4+6)

=24/10

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8 0

3 years ago

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If a car is traveling at 64 mph how many miles will it travel in 6 hours

kozerog [31]

Answer:

384

Step-by-step explanation:

64*6=384

Hope it helped!

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2 years ago

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For which value of theta is sin theta equals -1?

Olin [163]

Answer:

The value of Ф is 3π/2

Step-by-step explanation:

* Lets revise the angle Ф in the four quadrant

∵ r = √(x² + y²) ⇒ square the two sides

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∴ x² + y² = 1

∵ cos² Ф + sin² Ф = 1

∵ x is the adjacent side to Ф and y is the opposite side to Ф

∴ x = cos Ф and y = sin Ф

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∵ x = 1 , y = 0

∴ cos Ф = 1 and sin Ф = 0

∵ The positive part of x-axis represents the angle 0 and 2π

∴ cos 0 and 2π are 1 and sin 0 and 2π are 0

- At point (0 , 1)

∵ x = 0 , y = 1

∴ cos Ф = 0 and sin Ф = 1

∵ The positive part of y-axis represent the angle π/2

∴ cos π/2 is 0 and sin π/2 is 1

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∵ x = -1 , y = 0

∴ cos Ф = -1 and sin Ф = 0

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Segment addition with variables

oksian1 [2.3K]

<em>x equals 22</em>

<h2>Explanation:</h2>

____________________________________________

The Segment Postulate states the following:

<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>

$\overline{AB}=\overline{AC}+\overline{CB}$

____________________________________________

From the figure:

$\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40$

Our goal is to find x:

$\overline{AB}=\overline{AC}+\overline{CB} \\ \\ Substituting \ values: \\ \\ 40=(8+x)+10 \\ \\ 18+x=40 \\ \\ Subtracting \ 18 \ from \ both \ sides: \\ \\ 18-18+x=40-18 \\ \\ \boxed{x=22}$

<h2>Learn more:</h2>

Dilation: brainly.com/question/2501119

#LearnWithBrainly

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