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umka2103 [35]
3 years ago
14

The table shows linear relashonsips between x and y write an equation in slope intercept form for this relashonsip!!!!!!!!!!!!!!

!!!!!!!!!
QUICK PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Alchen [17]3 years ago
8 0

Answer:

y=-2x+6

Step-by-step explanation:

Slope-intercept form is given as y=mx+b, where m is slope and b is the y-intercept.

To find the slope of a line that passes through two points (x_1, x_2) and (y_1, y_2), use the slope formula:

m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}

Let:

(x_1, y_1)\implies (1, 4)\\(x_2, y_2)\implies (0, 6)

The slope of the line that passes through these two points is:

m=\frac{6-4}{0-1}=\frac{2}{-1}=-2

Now substitute m=-2 and any point to solve for b:

y=mx+b,\\6=-2(0)+b,\\6=0+b,\\b=6

Therefore, the slope-intercept form of a line that is represented by the table is \boxed{y=-2x+6}

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Explanation:

Level 2

Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.

Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.

Level 3

Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.

Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.

Level 4

Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.

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4 years ago
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Step-by-step explanation:

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3 years ago
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gayaneshka [121]

Answer: (x - 3)² + y² = \frac{100}{9}

<u>Step-by-step explanation:</u>

Circle Formula: (x - h)² + (y - k)² = r²  ; (h, k) is the center & r is the radius

Use the distance formula for (3, 0) and (1, \frac{8}{3})

r = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

r = \sqrt{(3-1)^{2}+(0-\frac{8}{3})^{2}}

r = \sqrt{(2)^{2}+(-\frac{8}{3})^{2}}

r = \sqrt{4+\frac{64}{9}}

r = \sqrt{\frac{36}{9}+\frac{64}{9}}

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r = \frac{10}{3}

****************************************************

Center (h, k) = (3, 0)   Radius (r) = \frac{10}{3}

(x - h)² + (y - k)² = r²

(x - 3)² + (y - 0)² = (\frac{10}{3})²

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almond37 [142]
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3 0
3 years ago
The picture is the answer​
kari74 [83]

Answer:

4. 3

The answer is the last option, all you do is reduce

Step-by-step explanation:

rise over run = rise/run = 6/2

reduce,

6/2

3/1

3x

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