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3 years ago

Find the coordinates of the midpoint of the segment given at its endpoints A(5,8) and B(-1, -4)

Mathematics

1 answer:

Studentka2010 [4]3 years ago

7 0

$(x_{m},y_{m} ) = (\frac{X_{A} +X_{B} }{2} ,\frac{Y_{A} + Y_{B} }{2})$

$(x_{m},y_{m} ) = (\frac{5-1}{2} ,\frac{8-4 }{2})$

$(x_{m},y_{m} ) = (\frac{4}{2} ,\frac{4 }{2})$

$(x_{m},y_{m} )$ = (2, 2)

Answer: (2, 2)

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The length of the shorter side of a parallelogram is 29 cm. Perpendicular line segment, which goes through the point of intersec

Katena32 [7]

A = 900 $cm^{2}$

The area of a parallelogram can be found by taking its base (b) and multiplying by the height (h). The base has the measure of 33 +12 = 45 cm. Now, you just need to find the height of the parallelogram. The height can be found by using the pythagorean theorem ( $a^{2} + b^{2} = c^{2}$ .

So, when simplified the height of the parallelogram will be found from $\sqrt{ 29^{2} - 21^{2}}$

The height is 20 cm. The base is 45 cm. 45 x 20 = 900.

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3 years ago

What is the quotient of the following division problem? x 1 startlongdivisionsymbol x squared 3 x 2 endlongdivisionsymbol. minus

Monica [59]

The quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

<h3>What is the quotient?</h3>

Quotient is the resultant number which is obtained by dividing a number with another. Let a number <em>a</em> is divided by number b. Then the quotient of these two number will be,

$q=\dfrac{a}{b}$

Here, (a, b) are the real numbers.

The given division expression is,

$\dfrac{x^2+3x+2}{x+1}$

Let the quotient of this division problem is f(x). Thus,

$f(x)=\dfrac{x^2+3x+2}{x+1}$

Factor the numerator expression as,

$f(x)=\dfrac{x^2+2x+x+2}{x+1}\\f(x)=\dfrac{x(x+2)+1(x+2)}{x+1}\\f(x)=\dfrac{(x+2)(x+1)}{x+1}\\f(x)={x+2}$

Thus, the quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

Learn more about the quotient here;

brainly.com/question/673545

5 0

2 years ago

Will give brainlst!!<br><br> Have a amazing day :) <br> Pls help

Nesterboy [21]

Answer:

Sorted Data Set: 2, 10, 12, 13, 14, 15, 17, 18, 18, 20, 21

Mean (Average) 14.545454545455

Median 15

Range 19

Mode 18, appeared 2 times

Geometric Mean 12.803503609558

Largest 21

Smallest 2

Sum 160

Count 11

First Quartile Q1 = 12

Second Quartile Q2 = 15

Third Quartile Q3 = 18

Interquartile Range IQR = 6

8 0

2 years ago

Will mark brainliest if correct

lord [1]

Answer:

$mean = \frac{9 + 4 + 4 + 1 + 0 + 6 + 4}{7} = \frac{28}{7} = 4$

$mean \: deviation = \frac{ |9 - 4| + |4 - 4| + |4 - 4| + |1 - 4| + |0 - 4| + |6 - 4| + |4 - 4| }{7} = \frac{5 + 0 + 0 + 3 + 4 + 2 + 0}{7} = \frac{14}{2} = 7$

8 0

3 years ago

Write10:15 pm in 24 hour time

Stels [109]

Your answer is 22:15

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3 years ago