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2 years ago

Graph x – 3y = 3 please help

Mathematics

1 answer:

lana66690 [7]2 years ago

6 0

Answer:

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Step-by-step explanation:

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Which radical expression is an irrational number? A. √ 121 B. √ 65 C. √ 36 D. √ 64

alina1380 [7]

We will verify each options

option-A:

$\sqrt{121}$

we can factor it

$\sqrt{121}=\sqrt{11*11}$

$\sqrt{121}=\sqrt{11^2}$

$\sqrt{121}=11$

so, this is not irrational.........Answer

option-B:

$\sqrt{65}$

Since, it can not be factored

so, this is irrational.........................Answer

option-C:

$\sqrt{36}$

we can factor it

$\sqrt{36}=\sqrt{6*6}$

$\sqrt{36}=\sqrt{6^2}$

$\sqrt{36}=6$

so, this is not irrational.........Answer

option-D:

$\sqrt{64}$

we can factor it

$\sqrt{64}=\sqrt{8*8}$

$\sqrt{64}=\sqrt{8^2}$

$\sqrt{64}=8$

so, this is not irrational.........Answer

6 0

3 years ago

Read 2 more answers

The points A(1, 4), B(5,1) lie on a circle. The line segment AB is a chord. Find the equation of a diameter of the circle.

tangare [24]

Check the picture below.

well, we want only the equation of the diametrical line, now, the diameter can touch the chord at any several angles, as well at a right-angle.

bearing in mind that <u>perpendicular lines have negative reciprocal</u> slopes, hmm let's find firstly the slope of AB, and the negative reciprocal of that will be the slope of the diameter, that is passing through the midpoint of AB.

$\bf A(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}}\implies \cfrac{-3}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{slope of AB}}{-\cfrac{3}{4}}\qquad \qquad \qquad \stackrel{\textit{\underline{negative reciprocal} and slope of the diameter}}{\cfrac{4}{3}}$

so, it passes through the midpoint of AB,

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{5+1}{2}~~,~~\cfrac{1+4}{2} \right)\implies \left(3~~,~~\cfrac{5}{2} \right)$

so, we're really looking for the equation of a line whose slope is 4/3 and runs through (3 , 5/2)

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{\frac{5}{2}}) \stackrel{slope}{m}\implies \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\cfrac{5}{2}}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3})\implies y-\cfrac{5}{2}=\cfrac{4}{3}x-4 \\\\\\ y=\cfrac{4}{3}x-4+\cfrac{5}{2}\implies y=\cfrac{4}{3}x-\cfrac{3}{2}$

4 0

2 years ago

Question 1(Multiple Choice Worth 4 points)

m_a_m_a [10]

1) 5
2) zero
3) <span>Step 1: 12x + 15 = 12
Step 2: 12x = −3
4) 10
5) 2

This took me a long time to do so I hope this was beneficial :)) !! (btw I am absolutely sure about every answer. I checked my work plenty of times :)</span>

6 0

2 years ago

Read 2 more answers

Find the median of the following data set: "4 8 5 3 9 7 6"

Schach [20]

Answer:

6, Arrange your numbers in numerical order, Count how many numbers you have, If you have an odd number, divide by 2 and round up to get the position of the median number, then If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Step-by-step explanation:

6 0

2 years ago

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The perimeter of a worksheet is 28 inches. The worksheet is 6 inches tall. How long is it?

Varvara68 [4.7K]

Answer:

The worksheet is 8 inches long

Step-by-step explanation:

Here, we want to get the length of the worksheet

From the description, we can see that the worksheet is rectangular in shape

Thus;

P = 2(l + b)

28 = 2(l + 6)

28/2 = l + 6

14 = l + 6

l = 14-6

l = 8 inches

4 0

2 years ago

Graph x – 3y = 3 please help​

Graph x – 3y = 3 please help