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3 years ago

Drag the tiles to the boxes to form correct pairs.

Mathematics

1 answer:

SOVA2 [1]3 years ago

3 0

Answer:

Step-by-step explanation:

Hello

Match the points on the number line with the rational numbers.

a __ -6/8 = -(2 x 3)/(2 x 4) = -3/4

b __ -2/8 = -2/(2 x 4) = -1/4

c __ -4/8 = -4/(4 x 2) = -1/2

d __ 8/8 = 1

e __ 13/8

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30 POINTS AVAILABLE

kherson [118]

Answer:

$\large\boxed{(x-2)^2+(y-1)^2=34}$

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

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4 years ago

An ant can run an inch per second. How long will it take the same ant to run a foot?

RideAnS [48]

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I think it is B
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