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4 years ago

Basic Gemoetry Question please help

Mathematics

1 answer:

Oliga [24]4 years ago

6 0

Answer:

Step-by-step explanation:

DE is the radius of both circles

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What is the value of (-7 + 31) – (2 - 6/)?

makkiz [27]

Answer:

Step-by-step explanation:

8 0

4 years ago

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:

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

3 0

4 years ago

X×x +3x -4 , 3 is the _____ and -4 is the _______

Anton [14]

Answer:

3 is the coefficient of 'x' and -4 is the constant term ✌️;)

3 0

3 years ago

Simplify this expression 6x-8y-5x+3y

ANTONII [103]

Answer: -7+3y

Step-by-step explanation:

6x-8x-5x+3y

6x-5x= x

x-8x=-7x

-7x+3y

7 0

4 years ago

Read 2 more answers

What is the equation of a vertical line that passes through the point (18,22) <br><br> Thank you!

Ipatiy [6.2K]

Answer:

x= 18

Step-by-step explanation:

A vertical line has a has a constant value of x

(18,22) has a value of 18 for x

x=18

7 0

3 years ago