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3 years ago

Find the point that partitions a segment AB where A (-2, -6) and B (6, 12) into two equal parts.

Mathematics

1 answer:

Gnoma [55]3 years ago

5 0

The midpoint for any segment/line when you're given the start and end point of the line as A=(x1,y1) and B=(x2,y2) is

( ((x1 + x2) /2), ((y1 + y2)/2) )

So here the point is

( (-2+6)/2), (-6+12)/2) )

= (2, 3)

So it's the second option

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A shirt originally cost $36.24, but it is on sale for $30.80. What is the percentage decrease of the price of the shirt? If nece

KiRa [710]

To work out the decrease, do original amount - new amount and then take that answer and divide it by the original amount, and then multiply by 100.

So you would do:

36.24 - 30.80 = 5.44
5.44 ÷ 36.24 × 100 = 15% to the nearest percent.

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3 years ago

Find the area of the shaded figure.

GREYUIT [131]

Sixty-eight square units

5 0

3 years ago

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Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, a parallelogram, or none. List all that apply. Explain

svlad2 [7]

Answer:

ABCD is a rhombus, and a parallelogram

==================================

<h3>Given </h3>

Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)

First, plot the points (see attached picture).

Then, connect all the points.

Opposite sides are parallel,
Diagonals are perpendicular.

From our observation the figure is rhombus.

Let's confirm it with the following.

1) Find midpoints of diagonals and compare.

AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2

The midpoint of both diagonals is same (- 2, 2).

2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.

m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3

m(AC) × m(BD) = 3/4 * (- 4/3) = - 1

<u>Confirmed.</u>

So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.

5 0

1 year ago

Barbara deposited $300 in the bank. If the bank pays her simple interest at the rate of 4 percent per year, how much money will

grigory [225]

Answer:

309

Step-by-step explanation:

The formula for simple interest is

A = P(1 + rt)

where A is the amount of money in the account

P is the principal invested

r is the interest rate in decimal form

t is the time invested in years

We know

P = 300

r = 4% = .04

t = 9 months = 9 months * 1 year/12 months = .75 year

Substituting into the equation

A = 300(1 + .04*.75)

=300 (1+.03)

=300(1.03)

= 309

4 0

3 years ago

A miniature golf course recently provided its customers with 8 golf balls, 2 of which were yellow. What is the experimental prob

bonufazy [111]

Answer:

<h2>There is a 25% chances of receiving a yellow golf ball next time.</h2>

Step-by-step explanation:

Givens

There are 8 golf balls in total.
There are 2 yellow golf balls out of 8.

The experimental probability refers to the ratio between the number of times an even happens and the total number of cases. So,

$P=\frac{2}{8}=0.25$

Therefore, there is a 25% chances of receiving a yellow golf ball next time.

5 0

3 years ago

Read 2 more answers