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MaRussiya [10]
4 years ago
11

Find the midpoint of the line segment.

Mathematics
1 answer:
Alik [6]4 years ago
8 0

Answer:

(1, 3)

Step-by-step explanation:

The first endpoint (the one on the left) is (-3, 2). The second endpoint (the one on the right) is (5, 4). To find the midpoint, find the middle of both x and y. To do that, add the values of x and y respectively and divide by 2:

for x-value of midpoint:

(x-value of first endpoint + x-value of second endpoint) / 2

= (-3 + 5) / 2

= 2 / 2

= 1

for y-value of midpoint

(y-value of first endpoint + y-value of second endpoint) / 2

= (2 + 4) / 2

= 6 / 2

= 3

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Solve each absolute value equation number 1 |2x-3|=7​
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Answer:

x = -2,  5.

Step-by-step explanation:

|2x - 3| = 7

2x - 3 = 7

2x = 10

x = 5 or:

2x - 3 = -7

2x = -4

x = -2.

3 0
3 years ago
Please answer this question! 26 points and brainliest!
Angelina_Jolie [31]

Answer:

3x^2 -7x +2

Step-by-step explanation:

(15x^2 -35x +10)÷5

15/5 x^2 -35/5 x +10/5

3x^2 -7x +2

5 0
3 years ago
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A consulting firm has received 2 Super Bowl playoff tickets from one of its clients. To be fair, the firm is randomly selecting
Soloha48 [4]

Answer:

Therefore the only statement that is not true is b.)

Step-by-step explanation:

There employees are 6 secretaries, 5 consultants and 4 partners in the firm.

a.) The probability that a secretary wins in the first draw

= \frac{number \hspace{0.1cm} of \hspace{0.1cm} secreataries}{total \hspace{0.1cm} number \hspace{0.1cm} of \hspace{0.1cm} employees}  = \frac{6}{15}

b.) The probability that a secretary wins a ticket on second draw.  It has been given that a ticket was won on the first draw by a consultant.

p(secretary wins on second draw | consultant  wins on first draw)

=\frac{p((consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)\cap( secretary\hspace{0.1cm} wins\hspace{0.1cm} on second \hspace{0.1cm}draw))}{p(consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)}

= \frac{\frac{5}{15}  \times \frac{6}{14}}{\frac{5}{15} }  = \frac{6}{14}  .

The probability that  a ticket was won on the first draw by a consultant a secretary wins a ticket on second draw  = \frac{6}{15} is not true.

The probability that a secretary wins on the second draw  = \frac{number \hspace{0.1cm} of  \hspace{0.1cm} secretaries  \hspace{0.1cm} remaining } { number  \hspace{0.1cm} of  \hspace{0.1cm} employees  \hspace{0.1cm} remaining}  = \frac{6 - 1}{15 - 1}  = \frac{5}{14}

c.) The probability that a consultant wins on the first draw  =

\frac{number \hspace{0.1cm} of  \hspace{0.1cm} consultants  \hspace{0.1cm}  } { number  \hspace{0.1cm} of  \hspace{0.1cm} employees  \hspace{0.1cm} }  = \frac{5 }{15}  = \frac{1}{3}

d.) The probability of two secretaries winning both tickets

= (probability of a secretary winning in the first draw) × (The probability that a secretary wins on the second draw)

= \frac{6}{15}  \times \frac{5}{14}  = \frac{1}{7}

Therefore the only statement that is not true is b.)

5 0
3 years ago
True or false? the point at which a tangent line meets a circle is called the point of tangency
gregori [183]
(breaths in) True, <span>The </span>point<span> at which the circle and the line intersect is the </span>point of tangency<span>.</span>
5 0
3 years ago
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notsponge [240]

Hey there!

A perpendicular line's slope to another line is always the negative reciprocal of slope.

If our line has a slope of two, we first must find the reciprocal, which is 1/2. Then, we put a negative on it.

Therefore, our equation is y=-1/2x+b.

I hope that this helps! Have a great day!

6 0
3 years ago
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