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3 years ago

What is the length of MN¯¯¯¯¯¯¯ ? Round to the nearest tenth of a unit.

Mathematics

2 answers:

ch4aika [34]3 years ago

8 0

Answer: 8.5

Step-by-step explanation:

morpeh [17]3 years ago

3 0

Answer

Find out the length of MN .

To prove

Formula

$Distance\ formula = \sqrt{{(x_{2} - x_{1})^{2} +{(y_{2} - y_{1})^{2} }$

Two points be M (2, -2) and N(8,4) .

Put in the formula

$Distance\ formula = \sqrt{{(8 - 2)^{2} +{(4 - (-2))^{2} }$

Solving the above

$Distance\ formula = \sqrt{{6^{2} +{6^{2} }$

$Distance\ formula = \sqrt{36+36}$

$Distance\ formula = \sqrt{2\times36}$

$Distance\ formula = \sqrt{72}$

Distance formula = 8.5 unit (approx)

Therefore the length of MN is 8.5 unit (approx) .

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans

zloy xaker [14]

Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.

Part B:

The area of the square is given by

$Area=(x+4)^2=x^2+8x+16$

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

$x^2+8x+16=6x+8 \\ \\ \Rightarrow x^2+8x-6x+16-8=0 \\ \\ \Rightarrow x^2+2x+8=0 \\ \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2} \\ \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2} \\ \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}$

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>

7 0

4 years ago

At the zoo the polar bears are fed from 4 kg bucket of a fish day.If each bears eats 3 upon 5 from that bucket what amount of fi

ser-zykov [4K]

Answer:

2400 grams

Step-by-step explanation:

The bears are fed from a 4 kg bucket each day. If the bears eat 3/5 of that bucket, therefore, the amount of fish that the bears eat is:

3 / 5 * 4 = 2.4 kg

Converting this to grams:

1 kg = 1000 g

2.4 kg = 2.4 * 1000 = 2400 grams

The bears feed is 2400 grams

6 0

3 years ago

7x - 3y + 12z This is algebra and I’m really bad at it

aalyn [17]

Wait, this is simplified because there are no common terms.

3 0

3 years ago

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Delvig [45]

Answer:

3 pints

Step-by-step explanation:

1 1/2 as a decimal is 1.5

1 quart = 2 pints

1.5 x 2 = 3 pints,

hope i helped you!

6 0

3 years ago

Read 2 more answers

List the steps to solve this

miskamm [114]

Answer:

Step-by-step explanation:

First, distribute the 2 to the 3z and -6 within the parenthesis.

You know have 6z -12/5 + 6 = 10

Subtract 6 from both sides of the equation

6z -12/5 = 4

Multiply 5 on both sides of the equation

6z -12 = 20

Add 12 to both sides of the equation

6z = 32

Divide by 6 on both sides of the equation

z = 32/6

Simplify

z = 16/3

I hope that this helps! :)

5 0

3 years ago