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3 years ago

Easy! 1. Change 7 1/2 to a top heavy fraction. 2. Change 3 2/3 to a top heavy fraction

1 answer:

6 0

7 1/2 = 15/2
Multiply 7 and 2, then add 1 = 15
Keep the denominator

3 2/3 = 11/3
Multiply 3 and 3, then add 2 = 11
Keep the denominator

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Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?

Dennis_Churaev [7]

Answer:

$(x+4)^2 + (y-9)^2 = 25$

Step-by-step explanation:

To write the equation of a circle, use the formula $(x-h)^2+(y-k)^2 = r^2$ where the center of the circle is (h, k).

This means the equation is $(x--4)^2 + (y-9)^2 = r^2\\\(x+4)^2 + (y-9)^2 = r^2$ .

Find the radius r by dividing the diameter of 10 in 2. The radius is 5.

So the equation of the circle is $(x+4)^2 + (y-9)^2 = 25$

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3 years ago

Find the equation of the linethe line passes through the points (5,2) and (-4,-4)

almond37 [142]

Answer:

$y = \frac{2}{3}x - \frac{4}{3}$

Step-by-step explanation:

first find the slope using the above points then use the slope formula to calculate the slope

$m = \frac{y2 - y1}{x2 - x1} \\ \frac{2 - - 4}{5 - - 4} = \frac{2 + 4}{5 + 4} = \frac{6}{9} = \frac{2}{3}$

substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b

$y = mx + b \\ 2 = \frac{2}{3} (5) + b \\ 2 = \frac{10}{3} + b \\ 2 - \frac{10}{3} = b \\ \frac{6}{3} - \frac{10}{3} = b \\ b = - \frac{4}{3}$

substitute the slope and the value for b into the equation to get the answer

$y = \frac{2}{3} x - \frac{4}{3}$

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3 years ago

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vitfil [10]

Can you explain it or maybe take a picture?

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Step-by-step explanation:

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2 years ago

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wel

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3 years ago