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3 years ago

What is the slope of the line whose equation is 2x-4y=10? Show answers

Mathematics

2 answers:

aliina [53]3 years ago

4 0

Answer:

y = - 0.5x + 2.5

y = -1/2 + 5/2

Step-by-step explanation:

2x -4y = 10 lets find y

-4y = 10+2x

-4y = 2x-10

-4y/-4 = 2x/-4 - 10/-4

y = - 0.5x + 2.5

y = -1/2 + 5/2

vova2212 [387]3 years ago

3 0

Step-by-step explanation:

the slope of the line = 1/2

that is the answer

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Can someone complete the square

pshichka [43]

To do these, start by looking at the "b" value -6.
divide it by 2

-6/2 = -3

now square this number

(-3)^2 = 9

this is what you need for the "c" value

there is only a 5 for the c value so add 4 to both sides of the equation. ( +4 = +4)

y +4 = x^2 -6x +5 +4
y +4 = x^2 -6x +9
y +4 = (x -3)^2
y = (x -3)^2 - 4

vertex ( 3, -4) upwards facing like a bowl, because the "a" value is positive. So the vertex is the minimum, lowest point on the graph.

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3 years ago

A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is

koban [17]

The expected length of code for one encoded symbol is

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha$

where $p_\alpha$ is the probability of picking the letter $\alpha$ , and $\ell_\alpha$ is the length of code needed to encode $\alpha$ . $p_\alpha$ is given to us, and we have

$\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}$

so that we expect a contribution of

$\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375$

bits to the code per encoded letter. For a string of length $n$ , we would then expect $E[L]=1.375n$ .

By definition of variance, we have

$\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2$

For a string consisting of one letter, we have

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4$

so that the variance for the length such a string is

$\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859$

"squared" bits per encoded letter. For a string of length $n$ , we would get $\mathrm{Var}[L]=1.859n$ .

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3 years ago

How many games must be played when 7 players are in the tournament?

AURORKA [14]

I believe the answer is 14

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3 years ago

Solve the triangle.

vova2212 [387]

9514 1404 393

Answer:

b = 71 m

A = 83°

C = 29°

Step-by-step explanation:

Many calculators can solve triangles. Apps are available for phone and tablet, or on the internet, like the one used here. In general, it takes less time to use one of these than to type your question into Brainly.

Given two sides and the angle between them, the Law of Cosines is the appropriate relation to use for finding the third side.

b = √(a² +c² -2ac·cos(B))

b = √(76² +37² -2·76·37·cos(67.75°)) ≈ √5015.48

b ≈ 70.82005 ≈ 71 . . . meters

One a side and its opposite angle are known, the remaining angles are found using the Law of Sines.

sin(A)/a = sin(B)/b

A = arcsin(a·sin(B)/b) = arcsin(76·sin(67.75°)/70.82005) ≈ 83.33°

A ≈ 83°

C = arcsin(37·sin(67.75°)/70.82005) ≈ 28.92°

C ≈ 29°

Or, you can find the remaining angle from 180° -68° -83° = 29°.

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3 years ago

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scoundrel [369]

Answer:

Step-by-step explanation:

If you take the lowest half of the data (from the lower extreme to the median) and find the median of these numbers, that is called the lower quartile or quartile 1.
If you take the upper half of the data (from the upper extreme to the median) and find the median of these numbers, that is called the upper quartile or quartile 3.
The interquartile range is the difference between quartile 1 and quartile 3.

4, 5, 6, 8, 9, 10, 11, 13
Median=8.5
Q1=6.5
Q3=10.5
10.5-6.5=4

I also added my PowerPoint if you didn't get what I was saying.

Download pptx

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3 years ago