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2 years ago

5. CD has an endpoint at (2, -1) and a midpoint at (8,3). Which measure is closest to the length of CD?

Mathematics

1 answer:

Alexus [3.1K]2 years ago

8 0

Answer: C

Step-by-step explanation:

the equation for X is

$\frac{2+x}{2} =\frac{8}{1}$ use proportion to solve

2 + x = 16

x = 14

(14,y)

The equation for Y is

$\frac{-1+y}{2} =\frac{3}{1}$ use proportion to solve

-1 + y = 6

y = 7

(14,7)

now use the distance formula

(14,7) (2,-1)

which gets you 14.4 or C

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Evaluate 82.5÷0.25 express the answer in standard form

Marina86 [1]

Answer:

330

Step-by-step explanation:

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3 years ago

In a clothing store, 65% of the customers buy a shirt, 30% of the customers

diamong [38]

Answer:

75%

Step-by-step explanation:

List out known probabilities

$\Pr(shirt) = 0.65 = \frac{65}{100} = \frac{13}{20}\\ \Pr(pants) = 0.40 = \frac{30}{100} = \frac{6}{20}\\\Pr(shirt \cap pants) = 0.20 = \frac{20}{100}=\frac{1}{5}$

recall equation

$\Pr(A \cup B)=\Pr(A)+\Pr(B)-\Pr(A \cap B)$

Plug in values

$\Pr(shirt \cup pants)=\frac{13}{20}+\frac{6}{20}-\frac{1}{5}\\\\therefore \Pr(shirt \cup pants) = \frac{15}{20} =\frac{3}{4} = 75\%$

4 0

3 years ago

The point K lies on the segment JL.

vlabodo [156]

Answer:

( -9, 5)

Step-by-step explanation:

We can observe that x coordinate increases on line segment JL from J and y coordinate decreases.

The difference in x:

-18 - 3 = -21

The difference in y:

17 - (-11) = 28

Point K is at 3/7 distance from J, so it's coordinates will be:

-18 -(-21*3/7) = -18 + 9 = -9

17 - (28*3/7) = 12- 7 = 5

So K = ( -9, 5)

6 0

4 years ago

Simplify (2x + 1) (3.1 – 6)using the Distributive Property or the Area Method.

Tju [1.3M]

Answer: -5.8x-2.9

Step-by-step explanation:

Hi, to answer this we will use the distributive property:

The distributive property allows to multiply a sum by multiplying each addend separately and then add the products.

(2x + 1) (3.1 – 6)

(2x [3.1]) +(2x[-6])+ (1 [3.1])+ (1 [-6])

6.2x-12x+3.1-6

-5.8x-2.9

Feel free to ask for more if needed or if you did not understand something.

4 0

4 years ago

Sue is reading a book of 360 pages. She read some of the book last week. She plans to read 46 pages today. When she does, she wi

ivanzaharov [21]

Answer: She read 242 pages last week.

Step-by-step explanation:

Total pages = 360

Let the number of pages she read last week = x

( Pages read last week) + (Pages read today) = $\dfrac45$ (Total pages)

i.e. $x+46=\dfrac45(360)$

$\Rightarrow x+46=288\\\\ \Rightarrow x= 288-46\\\\ \Rightarrow x=242$

Hence, she read 242 pages last week.

6 0

3 years ago