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3 years ago

Work out the co ordinates of the midpoint of (-2,-1) and (-2,4)

Mathematics

2 answers:

aliya0001 [1]3 years ago

7 0

Answer:

(-2, 1.5)

Step-by-step explanation:

Midpoint:

(-2 + -2)/2, (-1 + 4)/2

(-4)/2, 3/2

-2, 1.5

s2008m [1.1K]3 years ago

4 0

Answer:

$(-2,\frac{3}{2})$

Step-by-step explanation:

To find the midpoint, simply use the Midpoint Formula.

The Midpoint Formula states that for two points $(x_1,y_1)$ and $(x_2,y_2)$ , the midpoint will be: $(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$ .

So, here, $(x_1,y_1)$ = (-2, -1) and $(x_2,y_2)$ = (-2, 4). The midpoint is then: $(\frac{-2+(-2)}{2} ,\frac{-1+4}{2} )=(\frac{-4}{2} ,\frac{3}{2} )=(-2,\frac{3}{2})$

Thus, the answer is $(-2,\frac{3}{2})$ .

Hope this helps!

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A retired woman has $280,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and an

ASHA 777 [7]

Answer:

9% fund: $ 210,000

13% fund: $70,000

Step-by-step explanation:

As she wants to have a $28,000 annual return for her $280,000 investment, she is expecting a return rate of 10%:

$r=\dfrac{R}{C}=\dfrac{28,000}{280,000}=0.10$

If we call x the proportion of the capital in the 9% fund, then (1-x) is the proportion of the capital in the 13% fund,and the return of the combination has to be the expected return of 10%:

$0.09x+0.13(1-x)=0.10\\\\0.09x+0.13-0.13x=0.10\\\\-0.04x=0.10-0.13=-0.03\\\\x=\dfrac{0.03}{0.04}=0.75$

Then, we know that 75% of the capital should be invested in the 9% fund and 25% in the 13% fund.

This correspond to a capital of:

9% fund: 0.75*$280,000 = $ 210,000

13% fund: 0.25*$280,000 = $70,000

6 0

3 years ago

In triangle abc what is the value of cos b A 5/13 B 12/13 C 5/12 D 13/12

Mumz [18]

Answer:

$\boxed{Option \ B}$

Step-by-step explanation:

In the triangle,

Hypotenuse = 13

Opposite = Perpendicular = 5

Adjacent = Base = 12

Now,

Cos B = $\frac{Adjacent}{Hypotenuse}$

Cos B = 12/13

If the triangle is just like in the attached file!

5 0

3 years ago

translate this phrase into an algebraic expression 59 Less than twice a number use the variable n to represent the unknown numbe

Semenov [28]

To write the given phrase as an algebraic expression you can identify what does each part of the phrase mean:

59 less than: You have to substract 59 to the other part of the phrase

twice a number: as the number is n, twice a number is 2n

Then, you get the next algebraic expression:

$2n-59$

3 0

1 year ago

What is the square root of 361

ivann1987 [24]

The answer would be 19. If u have a calculator you can just plug it in though

6 0

3 years ago

urn I contains 1 red chip and 2 white chips; urn II contains 2 red chipsand 1 white chip. One chip is drawn at random from urn I

vitfil [10]

Answer:

Following are the answer to this question:

Step-by-step explanation:

In the question first calls the W if the transmitted chip was white so, the W' transmitted the chip is red or R if the red chip is picked by the urn II.

whenever a red chip is chosen from urn II, then the probability to transmitters the chip in white is:

$P(\frac{w}{R}) = \frac{P(W\cap R)}{P(R)} \ \ \ \ \ _{Where}\\\\P(R) = P(W\cap R) + P(W'\cap R) \\$

The probability that only the transmitted chip is white is therefore $P(W) = \frac{2}{3}\\$ , since urn, I comprise 3 chips and 2 chips are white.

But if the chip is white so, it is possible that urn II has 4 chips and 2 of them will be red since urn II and 2 are now visible, and it is possible to be: $P(\frac{R}{W}) = \frac{2}{3}$

$P(W\cap R) = P(W) \times P(\frac{R}{W}) \\$

$= \frac{2}{3}\times \frac{2}{4} \\\\= \frac{2}{3}\times \frac{1}{2} \\\\= \frac{2}{3}\times \frac{1}{1} \\\\=\frac{1}{3}\\\\= 0.333$

Likewise, the chip transmitted is presumably red $(P(W')= \frac{1}{3})$ and the chip transferred is a red chip of urn II $(P(\frac{R}{W'})= \frac{3}{4}$ , and a red chip is likely to be red $(\frac{R}{W'})$ .

Finally, $P(W'\cap R) = P(W') \times P(\frac{R}{W'})\\$

$= \frac{1}{3} \times \frac{3}{4} \\\\ = \frac{1}{1} \times \frac{1}{4} \\\\=\frac{1}{4}\\\\= 0.25$

The estimation of $P(R)$ and $P(\frac{W }{R})$ as:

$P(R) = 0.3333 + 0.25\\\\ \ \ \ \ \ \ \ \ \ = 0.5833 \\\\ P(\frac{W}{R}) = \frac{0.3333}{0.5833} \\\\\ \ \ \ \ \ \ = 0.5714$

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3 years ago