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3 years ago

Express the given linear equation in slope intercept form and identify the slope and y- intercept of -2x+7y=28

1 answer:

4 0

Slope-intercpet is y=mx+b where m=slope
b=y intercept
convert
-2x+7y=28
add 2x to both sides
7y=2x+28
divide both sides by 7
y=2/7x+4
slope=2/7
y-intercept=4 or the point (0,4)

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Y varies directly as x and inversely as the square of z. y equals 10 when x equals 36 and z equals 6. Find y when x equals 2 and

Ilia_Sergeevich [38]

Answer:

y = 20

Step-by-step explanation:

$y = \frac{kz}{x} \\ 10 = \frac{6k}{36} \\ \frac{6k}{6} = \frac{360}{6} \\ k= 60 \\ y = \frac{4(60)}{2} \\ y = \frac{240}{2} \\ y = 120$

If this is right, then please make it the brainliest.

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3 years ago

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madreJ [45]

$\frac{45 + 32 + 37 + x}{4} = 40 \\ x = 46$

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3 years ago

A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe

ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

$S_n = \frac{n}{2}(n - 1)$

Step-by-step explanation:

Given

For 5 people

$\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}$

Using the given instance of 5 people, the number of handshakes can be represented as:

$(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0$

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

$S_n = \frac{n}{2}{(T_1 + T_n})$

Where

$T_1 = n - 1$ --- The first term

$T_n = 0$ --- The last term

So:

$S_n = \frac{n}{2}(n - 1 + 0)$

$S_n = \frac{n}{2}(n - 1)$

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2 years ago

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luda_lava [24]

Answer:

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2 years ago

Ivenika [448]

Answer:

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3 years ago