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3 years ago

Given the straight libe MN = NP with M(12,-3) and N(-2,9), calculate the coordinates of P.

Mathematics

1 answer:

DanielleElmas [232]3 years ago

4 0

Answer:

hello hai to question is from which class

Step-by-step explanation:

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In the coordinate plane, draw quadrilateral ABCD with A(–5, 0), B(2, –6), C(8, 1), and D(1, 7), then demonstrate that ABCD is a

Len [333]

Answer:

ABCD is a rectangle

Step-by-step explanation:

∵ A = (-5 , 0) , B = (2 , -6) , C = (8 , 1) , D = (1 , 7)

∵ The x-coordinate of the mid-point of AC = (-5 + 8)/2 =3/2

∵ The y-coordinate of the mid-point of AC = (0 + 1)/2 = 1/2

∴ The mid-point of AC = (3/2 , 1/2)

∵ The x-coordinate of the mid-point of BD = (2 + 1)/2 =3/2

∵ The y-coordinate of the mid-point of BD = (-6 + 7)/2 = 1/2

∴ The mid-point of BD = (3/2 , 1/2)

∴ The mid-point of AC = The mid-point of BD ⇒ (1)

∵ AC = √[(8 - -5)²+(1 - 0)² = √170

∵ BD = √[(1 - 2)²+(7 - -6)² = √170

∴ AC = BD ⇒ (2)

From (1) and (2)

AC and BD equal each other and bisects each other

∴ ABCD is a rectangle

7 0

3 years ago

A. Find the mean median and mode of the data.

IrinaK [193]

26 26 29 30 31 33 33 33 34 34 70

A.
Mean:30.9
Add all numbers up and divide by however many there are.
Median:32
Number in the middle spot
Mode:33
Number that occurs the most

B.
Mean:34.45
Median:33
Mode:33

4 0

3 years ago

Your car gets about 20 miles per gallon. You are planning to drive to

igor_vitrenko [27]

Answer:

42.5 or 43

Step-by-step explanation:

Since you need to travel 850 miles, and you can travel 20 miles per gallon, you should divide 850 by 20 to get the number of gas cans needed. In doing so, you get 42.5 gas cans, but since it may be asking for whole cans rather than part of a gas can, you might want to write 43 instead. If you were to round down to 42, you would not have enough gas to finish the trip, so you should round up to 43. So, it is up to you if you want to write 42.5 or 43.

Hope this helped somewhat! ;(

5 0

2 years ago

If f(x)=(1/8)(8^x) what is f(3)?<br> A. 1/512<br> B. 1/64<br> C. 512<br> D. 64

cestrela7 [59]

Hi there!

Let's solve this problem step by step!
$f(x) = \frac{1}{8} (8 {}^{x})$

To find f(3) we must substitute x = 3 into the formula.
$f(3) = \frac{1}{8} (8 {}^{3} )$

Now we use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.

Work out the exponents inside the parenthesis first.
$f(3) = \frac{1}{8} \times 512$

And finally multiply.
$f(3) = \frac{1}{8} \times \frac{512}{1} = \frac{512}{8} = 64$

Hence, the answer is D. 64.
~ Hope this helps you!

4 0

3 years ago

Read 2 more answers

Find the percent of the number: 64% 75

Dima020 [189]

64% of 75 = 64/100 x 75 = 48 <==== answer

4 0

3 years ago

Read 2 more answers

Given the straight libe MN = NP with M(12,-3) and N(-2,9), calculate the coordinates of P.​

Given the straight libe MN = NP with M(12,-3) and N(-2,9), calculate the coordinates of P.