. Find the equation of the line passing through the points (3, 7) and (5, -1). Your answer should be in point -slope form.

Given statement 'To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.' is False.

In given question,

We have been given a statement 'To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.'

We know that a hypotenuse is the largest side of a right triangle.

According to Pythagoras theorem,

in a right triangle c² = a² + b²

where c is the hypotenuse of a right triangle

a, b are perpendicular sides of the right triangle

This means, to find the length of the hypotenuse of a right triangle, take the square root of the sum of the squares of the legs.

Therefore, given statement 'To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.' is False.

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The matching of the probability will be:

Flip a coin 3 times and get heads every time. = 1/8.

Flip a coin to get tails up and roll a number cube to get an even number. - 1/4

Roll a number cube and get a 4 and 5 - 1/36

Draw an ace and then a 7 from a deck of cards with replacement - 1/169.

Flip a coin 3 times and get heads every time will be:

= (1/2)³

= 1/8.

Flip a coin to get tails up and roll a number cube to get an even number will be:

= 1/2 × 3/6

= 3/12

= 1/4

Roll a number cube and get a 4 and 5 will be:

= 1/6 × 1/6

= 1/36

Draw an ace and then a 7 from a deck of cards with replacement is 1/169.

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The two towns will be 15 centimeters apart on the map.

Here, we are given that a map has a scale factor of 1:24 000.

This means that if the distance between two points on the map is say 1 meter then in reality, these two points will be 24,000 meters apart.

Now, we are given that two towns are 3.6 kilometers apart

That is in reality, they are 3.6 km away

Let them be x kilometers away on the map

The ratio of the distances on map and in real life must be equal to 1/24,000

⇒ x/3.6 = 1/24,000

x = 3.6/24,000

x = 0.00015 kilometers

or x = 15 centimeters

Thus, the two towns will be 15 centimeters apart on the map.

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The maximum number of carpet tiles that need to be bought to cover the floor of the rectangular room is  221.

Upper bounds = 8.5m and 6.5m

Maximum = 8.5[tex]\times[/tex]6.5 = 55.25[tex]m^2[/tex]

55.25[tex]m^2[/tex] = 552500c[tex]m^2[/tex]

50[tex]\times[/tex]50 = 2500c[tex]m^2[/tex]

552500/2500 = 221

The maximum amount of carpet tiles = 221

A rectangle is a quadrilateral with equal angles and opposing sides that are equal and parallel. There are several rectangle items all around us. Each rectangle form is distinguished by two dimensions: length and breadth. The length of the rectangle is the longer side, while the width is the shorter side. We will study about the rectangle form and its features in this chapter. A rectangle is a four-sided closed two-dimensional shape. A rectangle's opposite sides are equal and parallel to one other, and all of its angles are equal to 90°. Examine the rectangle below to determine its form, sides, and angles.

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The  simplification of the given expression 0.4(k - 0.1) + 0.5(3.3 - k) is 1.61 - 0.1k.

According to the question.

We have an expression.

0.4(k - 0.1) + 0.5(3.3 - k)

As we know that, simplification of an expression means to write an equivalent expression which contains no similar terms.

Therefore, the simplification of the given expression 0.4(k - 0.1) + 0.5(3.3 - k) is given by

0.4(k - 0.1) + 0.5(3.3 - k)

= 0.4k - 0.04 + 1.65 - 0.5k

= 1.61 - 0.1k

Hence, the  simplification of the given expression 0.4(k - 0.1) + 0.5(3.3 - k) is 1.61 - 0.1k.

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The completed statement is

         i) f(4) is 1/2

         ii) f(x) = 4 when x is 8

A domain of a function refers to "all the values" that go into a function. The domain of a function is the set of all possible inputs for the function.

The range of a function is the set of all its outputs.

According to the question the ordered pairs are given as

      R = { (8,4) , (-2/3,3) , (11,-1) , (4,1/2)}

Here the domain are  : ( 8,-2/3,11,4)

and range are : (4,3,-1,1/2)

Hence the values are :

   i) f(4) = 1/2

   ii) f(x) = 4 when x = 8

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Answer:

source please?

Step-by-step explanation:

Without a source I cannot

Answer:

800 times 10 is =800×10

800×10×10

800×100

=80,000

I think this is the answer so try it sorry for the last results

Answer:

86.4m/s as 2.4^(2)=5.76

5.76x15=86.4

Answer:

the answer would be n/4 + 9/2

Step-by-step explanation:

-

Answer:

19.00, 0.95, 19.95

28.00, 1.40, 29.40

45.00, 2.25, 47.25

Step-by-step explanation:

19.00 × 0.05 = 0.95

1.40 ÷ 0.05 = 28

47.25 ÷ 1.05 = 45

45 × 0.05 = 2.25

Answer/Step-by-step explanation:

Ticket Price ($) | Service Fee ($) | Total Cost with Service Fee ($) |

 19.00               |        0.95           |              19.95                               |                  

                         |                           |                                                      |

----------------------------------------------------------------------------------------------

   28.00            |       1.40              |               29.40                            |

                         |                            |                                                     |

-----------------------------------------------------------------------------------------------

    45.00           |       2.25              |                     47.25                      |

                         |                             |                                                     |

------------------------------------------------------------------------------------------------

I hope this helps!

If a/b = c/d then a and d are the extremes.

Ratio is defined as the comparison of two quantities. The ratio between quantities a and b can be expressed as a : b or a/b.

example:

There are 3 girls for every 5 boys in a class. Then, the ratio of girls to boys is 3 : 5 or 3/5.

On the other hand, proportion is defined as the equality between two or more ratios.

a : b = c : d

Two ratios are equivalent if their cross-products are equal. Cross products are the products of the extremes and means. The 1st and and 4th terms of a proportion is called the extremes, while the 2nd and 3rd is the means of a proportion.

If a : b = c : d, then ad = bc.

where a and d are the extremes

b and c are the means

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The value of x is 3 and the measure of each side of isosceles ΔMNP is:

MN = 13

NP = 13

PM = 11

We know that, in an isosceles triangle, any two sides of the triangle are equal and the angle opposite to these sides are equal in measure.

In this question, we have been given an isosceles ΔMNP with MN ≅ NP .

Also we have been given some statements about the sides of  isosceles ΔMNP.

MN is two less than five times x.

We write above statement as mathematical expression.

MN = 5x - 2

NP is seven more than two times x.

We write above statement as mathematical expression.

NP = 7 + 2x

And PM is two more than three times x.

We write above statement as mathematical expression.

PM = 2 + 3x

As  MN = NP

⇒ 5x - 2 = 7 + 2x

⇒ 5x - 2x = 7 + 2

⇒ 3x = 9

⇒ x = 3

So, the value of x is 3.

Now we find the measure of each side of triangle JKL

MN = 5x - 2

MN = 5(3) - 2

MN = 15 - 2

MN = 13

Now the side NP

NP = 7 + 2x

NP = 7 + 2(3)

NP = 13

And side PM would be,

PM = 2 + 3x

PM = 2 + 3(3)

PM = 11

Therefore, the value of x is 3 and the measure of each side of isosceles ΔMNP is:

MN = 13

NP = 13

PM = 11

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The required transformation would be in the variable because the slope of parallel lines is always the same.

A line can be defined by the shortest distance between two points is called as a line.

Here,
Line MR is drawn with the endpoints M and R, and another line M'R' is drawn which is parallel to line MR. There is a property of parallel lines that the slope of the parallel lines is always equal. , So the slope of lines are equal there must be a change in variable x and y which describes the translation of the line M'R'.

Thus, the required transformation would be in the variable because the slope of parallel lines is always the same.

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Answer:

Step-by-step explanation: You may have a chance of getting 20 questions correct while another 20 wrong. So if you have 1/2 the probability with your class it would be around 20 correct and 20 wrong.

The probability that she chooses 3 particular books to check out from the 10 initial books is 0.0574

In this question,

Paige is choosing between 10 books at the library.

We need to find  the probability that she chooses 3 particular books to check out from the 10 initial books.

The probability of choosing 1 book = 1/10

So, the probability of success (p) = 1/10

the probability of failure (q) = 9/10

Using Binomial probability distribution,

P(x = 3) = [tex]^{10}C_3\times (\frac{1}{10} )^3\times (\frac{9}{10} )^7[/tex]

P(x = 3) = 120 × 0.001 × 0.4783

P(x = 3) = 0.0574

Therefore,  the probability that she chooses 3 particular books to check out from the 10 initial books is 0.0574

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Answer:

(-6.0))

Step-by-step explanation:

If you start in the middle at (0,0) and go left 6 spaces and the do not go up or down.  You will be at (-6,0).  This is the only point that is in the shaded in both blue and green.

The probability of spinner pointer landing on neither red nor yellow=1/3 .

As given,

Total colors in the spinner is equal to 6

Each color is 2 times

Total number of colored region=6

Number of each red and yellow region=2

Probability

=(Total number of favourable outcomes) /  (Total number of outcomes )

Probability of pointer landing on red or yellow is

P(R or Y)=2/6 +2/6

⇒P(R or Y) =2/3

Probability of pointer landing on neither red nor yellow

P( R or Y)' =1-P(R or Y)

                 =1-(2/3)

                 =1/3

Therefore, the probability of spinner pointer landing on neither red nor yellow =1/3.

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Answer:

72838383(8$($)*!*!)*?#!_;+ndbdjdjsk

The raisins that Anaya needs more will be 5/6 cups.

It should be noted that from the information, recipe for 4 cups of trail mix calls for 2/3 cups of raisins. Anaya has 1 1/2 cups of raisins.

The amount that's needed for 14 cups will be:

= 14/4 × 2/3

= 2 1/3

It's not enough

The amount needed will be:

= 2 1/3 - 1 1/2

= 2 2/6 - 1 3/6

= 5/6

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18 triangles area unit required to compose a vicinity that's one square meters.

A square with a locality of one square metre is rotten into nine identical little squares. every little sq. is rotten into 2 identical triangles.

1 square metre is rotten into nine identical little squares.

So there area unit nine little squares in one square metre.Each little sq. is rotten into 2 identical triangles therefore nine little squares is rotten into 9(2) = eighteen identical triangles

Hence, one square metre is rotten into eighteen identical triangles.

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Answer:

If you run 1mile in 7 minutes, you run 8.5miles in 1 hour, and run 1km in 4 minutes 20 seconds. This calculator convert pace and speed in the unit of mile, and km.

Step-by-step explanation:

Hope this helped

and what the other person said

Brainlest please

Answer: The answer is 78,125

Step-by-step explanation: The answer is 78,125 because when the 5^8 equals 390,625 and then divide 5 and you get 78,125. hope this helps :)

Answer:

5e8 /5=78125

Step-by-step explanation:

5e8=5*5*5*5*5*5*5*5=  390 625

390 625/5=78125

Hope you'll understand

(:

The geometric mean between pair of numbers 12 and 9 is 10.39

We know that for a sequence of numbers x1, x2,.., xn

The formula of geometric mean is,

[tex]\Pi = \sqrt[n]{x_1.x_2...x_n}[/tex]

In this question, we have been given two numbers 12 and 9

We need to find the geometric mean between pair of numbers, 12 and 9.

Using the formula for the geometric mean,

[tex]\Pi = \sqrt[n]{x_1.x_2...x_n}[/tex]

In this question, we have two numbers.

So, the value of n is 2.

[tex]\Pi = \sqrt{12\times 9}\\\\\Pi=\sqrt{108}\\\\ \Pi=10.39[/tex]

Therefore, the geometric mean between pair of numbers 12 and 9 is 10.39

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0.165 million jobs must be created monthly to keep unemployment from increasing.

How many new jobs have to be created each month to keep unemployment from increasing?

The population of the labor force = is 165 million

Percentage increase of labor force in a year = 1.2 % of 165 million

Percentage increase in the labor force in a month 1.2 %/12=0.1 %=  of 155 million

Jobs required to be created each month = population increase each month

165 million *0.1/100=0.165 million

0.165 million jobs must be created monthly to keep unemployment from increasing.

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