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3 years ago

Help againnnn!!!!!!!

Mathematics

1 answer:

puteri [66]3 years ago

3 0

$P(8)=\dfrac{8\cdot(8+1)\cdot(2\cdot8+1)}{6}=\dfrac{8\cdot9\cdot17}{6}=\dfrac{1224}{6}=\boxed{204}$

Answer A.

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Do the points A(1,3) B(4,2) C(-2,4) lie on the same line? Explain your answer. Show all work.

Jet001 [13]

We can see that

$Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC$

The given points are on same line.

Further explanation:

There are two methods to find if the given points are on same line

The slope method: If the points are on same line the slopes of two pairs of points will be same
Area of triangle method

Given points are:

A(1,3) B(4,2) C(-2,4)

We will find the slope of AB, BC, and AC

So,

$m=\frac{y_2-y_1}{x_2-x_1}$

$Slope\ of\ AB=\frac{2-3}{4-1} \\=-\frac{1}{3}$

$Slope\ of\ BC=\frac{4-2}{-2-4}\\ =\frac{2}{-6}\\=-\frac{1}{3}$

$Slope\ of\ AC= \frac{4-3}{-2-1} \\=-\frac{1}{3}$

We can see that

$Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC$

The given points are on same line.

Keywords: Slope, Co linear points

Learn more about slope at:

#LearnwithBrainly

3 0

3 years ago

***I NEED HELP ASAP*** <br> ***Please show all the steps***<br> ***I will mark brainliest***

mixer [17]

Answer:

First on is 0.75

Second is 22/52 (not sure about this one though)

Step-by-step explanation:

For the first one:

P(aUb) = p(a) + p(b) - p(a^b)

0.6 = 0.4 + 0.5 - p(a^b)

p(a^b) = 0.3

P(a/b)= p(a^b)/p(a)

P(a/b)= 0.3/0.4

P(a/b)= 0.75

For the second one:

Total of the cards are 52

Diamonds are 13 out of that 52

Face cards are 12 out of that 52

Diamond OR face cards means p(aUb)

And that equals p(a)+p(b)-p(a^b)

p(a^b) means the intersection between the two, there are three common cards between diamonds and face cards, so p(a^b)=3

13/52 + 12/52 - 3/52= 22/52

3 0

3 years ago

Does anyone know how to do this

Scilla [17]

Answer:

$7 {x}^{2} + 28x - 35 = 0$

$7 {x}^{2} + 35x - 7x - 35 = 0$

$7x(x + 5) - 7(x + 5) = 0$

$(x + 5)(7x - 7) = 0$

$(x + 5)(x - 1) = 0$

3 0

3 years ago

Read 2 more answers

Find the value of x if DE is the midsegment of triangle ABC and

Varvara68 [4.7K]

Answer

Find out the value of x.

To prove

Definition of mid- segment

It is a segment connecting the midpoints of two sides of a triangle.

It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

As shown in the triangle given below.

As given

DE = 5x and BC = 11x – 15

Thus

$DE = \frac{BC}{2}$

$5x = \frac{11x-15}{2}$

$5x\times 2 = 11x-15$

$10x = 11x-15$

15 = 11x - 10x

15 = x

Therefore the value of x is 15 .

8 0

3 years ago

What is the distance between the points?! round to the nearest tenth i need to show work

Contact [7]

Answer:

8.6

Step-by-step explanation:

To find the distance between two points we use the formula posted below

All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with

the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267

then we round to the nearest tenth and get 8.6

5 0

3 years ago