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vaieri [72.5K]
3 years ago
14

Calculate the midpoint between (2,-5) and (4, -7).

Mathematics
1 answer:
balandron [24]3 years ago
5 0

The midpoint between (2,-5) and (4, -7)  is Option D.(3-6)

Step-by-step explanation:

Given:

Points (2,-5) and (4, -7)

To Find:

Midpoint of the points=?

Solution:

The midpoint that lies between the two points is given by

(x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Where

(x_m, y_m)= coordinates of the midpoint

(x_1, y_1)= coordinates of the first point

(x_2, y_2)= coordinates of the second point

we have,

x_1= 2

y_1= -5

x_2= 4

y_2= -5

Substituting the values in the mid point formula,

(x,y)=(\frac{(2+4)}{2},\frac{(-5-7)}{2})

(x,y)=(\frac{(6)}{2},\frac{(-12)}{2})

(x,y)=(3,-6)

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Step-by-step explanation:

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3 years ago
Use lagrange multipliers to find the maximum and minimum
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I need more information
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2 years ago
The numbers 1 through 20 printed on a lottery ticket. A player circles three numbers. At the official lottery drawing, balls wit
zlopas [31]

Answer:

The answer is "0.00088"

Step-by-step explanation:

Many ways of selecting r articles of n,\to ^nC_r = \frac{n!}{(r! \times (n-r)!)}

P(wins the player) = \frac{1}{\text{Any combinations of possible numbers}}

= \frac{1}{^{20} C_3}\\\\

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7 0
3 years ago
Gladys scored 42 points in a basketball game. She only took 2-point shots and 3-point shots. She made a total of 18 shots. Write
Semmy [17]

Answer:

x+y=18 \\2x+3y=42

Number of 2-point shots taken = 12

Number of 3-point shots taken = 6

Step-by-step explanation:

Total number of points scored by Gladys = 42

Only 2-point and 3-point shots are taken by Gladys.

Let number of 2-point shots taken = x

Let number of 3-point shots taken = y

Total number of shots taken = 18

Therefore, first equation can be written as:

x+y=18

Total points scored = 42

Therefore, second equation can be written as:

2x+3y=42

System of equations is:

x+y=18 .... (1)\\2x+3y=42 .... (2)

Using elimination method to solve the system of equations.

Multiplying equation by 2 then subtracting it from equation (2):

3y - 2y = 42 - 36\\\Rightarrow y = 6

By equation (1):

x+6=18\\\Rightarrow x = 12

Therefore, Number of 2-point shots taken = 12

Number of 3-point shots taken = 6

3 0
2 years ago
The value of 2(cos square 45 + tan square 60) is
Sergeu [11.5K]

Answer:

7

Step-by-step explanation:

Using the exact values for

cos45° = \frac{1}{\sqrt{2} } and tan60° = \sqrt{3} , then

2(cos²45° + tan²60°)

= 2( (\frac{1}{\sqrt{2} } )² + (\sqrt{3} )² )

= 2( \frac{1}{2} + 3 )  ← distribute

= 1 + 6

= 7

7 0
2 years ago
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