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3 years ago

Find the distance between the points L(7,−1) and M(−2, 4).

Mathematics

1 answer:

kakasveta [241]3 years ago

8 0

Answer:

The exact distance between the two points is 10

Step-by-step explanation:

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Which number in the monomial 125x^18y^3z^25 needs to be changed to make it a perfect cube

Oksana_A [137]

Hi,

You just have to change z^25 to z^24 or z^27.

$125x^{18}y^3z^{24}=(5x^6*y*z^8)^3$

4 0

3 years ago

Read 2 more answers

△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.

Artist 52 [7]

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF ...................CPCTC

Substituting the values we get

$4x-2=x^{2}-7\\x^{2}-4x-5=0$

Now By Factorizing we get

$x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5$

Therefore the value of x is 5.

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3 years ago

What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right

EastWind [94]

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

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3 years ago

How do I do standard deviation ?

Marianna [84]

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3 years ago

What is 2 divided on 1000

Hoochie [10]

500. But 1000 cannot go in 2, the result would be 0.002.

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3 years ago

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