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4 years ago

Using the distance formula, find the distance between two points. (6, 0) (-5, 4)

Mathematics

1 answer:

Ipatiy [6.2K]4 years ago

3 0

Answer:

11.7046999

Step-by-step explanation:

using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:

d=√(6-(-5)² + (0-4)²

d=√(11)²+ (-4)²

d=√121+16

d=√137

d approximately equal to (≈) 11.7046999 or 11.7 or 11

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Determine if the triangle is similar. If similar, state how and complete the similarity statement.

Yuri [45]

Answer:

It would be...

Step-by-step explanation:

Similar By: 22.5 and 27

ABCD: G AND H AND F

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8 0

3 years ago

Match the justifications for each step in order to prove the Alternate Interior Angles Theorem. Note that lines p and q are para

Alex_Xolod [135]

Answer:

Option (3)

Step-by-step explanation:

There are two parallel lines 'p' and 'q' and a transversal line is intersecting these lines at two distinct points.

Each pair of angles formed on the inner side of the parallel lines but opposite sides of the transversal line are the alternate interior angles.

Pair of angles (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles.

Since, alternate interior angles are equal in measure,

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Option (3) will be the answer.

6 0

3 years ago

Is negative 12 a rational number

Ilya [14]

Answer:

Negative 12 itself is a rational number. It's the ratio of -12 to 1 :D

Step-by-step explanation:

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3 0

3 years ago

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of eac

Nat2105 [25]

Answer:

5 points question is 8

and 2 points questions is 30 !!

Step-by-step explanation:

Let the number of 5 points questions be x and number of the 2 points questions be y !!

Given :- The paper has 38 problems

i.e,

number of 5 points Q + number of 2point Q = 38

=> x + y = 38

=> x = 38 - y .... ( i )

And , The test worth 100 pts :-

There must be x number of Questions which carry 5 points and there must y number of questions which carries 2 points ( as assume above )

so, 5x + 2y = 100 .... ( ii )

Putting value of the x in ( ii )

5 ( 38 - y ) + 2y = 100

190 - 5y + 2y = 100

- 3y = - 90

y = 30

Putting value of y in ( i )

x = 38 - y

x = 38 - 30

x = 8

So, the Number of 5points Question is

x = 8

and , the number of 2 points questions is y = 30 !!

4 0

4 years ago

Showmwor km and explain 11 points

PSYCHO15rus [73]

Good 'ol ratio and proportion

so what yo do is
known ratio=unknown ratio

so first one
oranges
number of oranges to cost=5:2
find the cost of 2 dozen (24) oranges
number of oranges to cost=5:2
5:2=24:?
5/2=24/?
times both sides by 2 times ?
5 times ?=48
divide both sides by 5
?=9.6
2 dozen oranges costs $9.60

this one I can't see how many days
but for x days, the cost is x times $60

john drove some distance
distance to amount of gas is 48:2
how much gas needed for 78 miles
48:2=78:?
48/2=78/?
times both sides by 2?
48?=156
divide both sides by 48
?=3.25
used 3.25 gallons for 78 miles

6 0

3 years ago