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3 years ago

graph the linear equation. find three points that solve the equation, then plot on the graph. -x-3y=-6

Mathematics

1 answer:

alisha [4.7K]3 years ago

3 0

Answer:

The equation can be written as

x+3y=6

To graph, you need to create a table for values of x with corresponding values of y that satisfy the equation

Sample points that solve the equation could be;

(-3,3),(3,1) and (-9,5)

From the graph attached, the three points are;

(-6,4)
(0,2)
(6,0)

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Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle

dem82 [27]

Answer:

229.23 feet.

Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

$Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0$

Similarly, In Triangle BOL

$Tan 50^0=\dfrac{h}{x+60}\\h=(x+60)Tan 50^0$

Equating the Value of h

$xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft$

Since we have found the value of x, we can now determine the height, h of the tree.

$h=\left(\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0}\right)\cdotTan 60^0\\h=229.23 feet$

The height of the tree is 229.23 feet.

5 0

3 years ago

Help me please ❤️<br> Thank you

anyanavicka [17]

Answer:

I think it would be finding the quantity in each group.

Step-by-step explanation:

Because there would be more than 1 group. there is only one group. so you are trying to find the number of hours each person in the group will get.

i think that is right sorry if not.

5 0

3 years ago

Read 2 more answers

Your teacher will report the mean and standard deviation of the sampling distribution created by the class.

sukhopar [10]

Answer:

$\hat p = \frac{\sum_{i=1}^{40} \hat p_i}{40}$

$\hat p = 0.493$

And the deviation is given by this formula:

$s_{\hat p}= \frac{\sum_{i=1}^{40} (\hat p_i - \hat p)^2}{n-1}= 0.085$

And as we can see the population proportion expected for the number of heads 0.5 is very close to the mean of the sampling distribution, the error is :

$\% Error = \frac{0.5-0.493}{0.5}* 100 = 1.4\%$

Step-by-step explanation:

Assuming the data on the figure attached. We ar assuming that this is a sampling distribution of sample proportions of heads in 40 flips of a coin.

As we can see we have the following values:

0.25, 0.35, 0.375,0.375, 0.40,0.40,0.40, 0.425,0.425,0.425, 0.45,0.45,0.45,0.45, 0.475,0.475,0.475, 0.475,0.475, 0.50,0.50,0.50, 0.525,0.525,0.525,0.525, 0.55,0.55,0.55,0.55,0.55, 0.575,0.575,0.575 0.575, 0.575, 0.60,0.60, 0.65,0.65

And we can calculate the sample proportion with the following formula:

$\hat p = \frac{\sum_{i=1}^{40} \hat p_i}{40}$

$\hat p = 0.493$

And the deviation is given by this formula:

$s_{\hat p}= \frac{\sum_{i=1}^{40} (\hat p_i - \hat p)^2}{n-1}= 0.085$

And as we can see the population proportion expected for the number of heads 0.5 is very close to the mean of the sampling distribution, the error is :

$\% Error = \frac{0.5-0.493}{0.5}* 100 = 1.4\%$