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Delvig [45]
4 years ago
11

What is the length of the longest side of a triangle that has the vertices (2,6), (-4,6), and (-4,4)? Round to the nearest hundr

edth, if necessary.
A. 40 units
B. 3.16 units
C. 12.65 units
D. 6.32 units
Mathematics
1 answer:
irinina [24]4 years ago
4 0
It looks like the points are corners of a right triangle with the hypotenuse from (-4,4) to (2,6).  That is the longest side, of length L given by L = √[(-4 - 2)2 + (4 - 6)2] = √(36 + 4) = √40 = 2√10
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An ellipse is centered at the origin. Find it’s equation.
MA_775_DIABLO [31]

Answer:

(x)^2        (y)^2

---------- + --------- = 1

 4              3

Step-by-step explanation:

The standard equation for an ellipse is

(x-h)^2     (y-k)^2

---------- + --------- = 1

a^2            b^2

The center is at (h,k)

The vertices are at (h±a, k)

The foci are at (h±c,k )

Where c is sqrt(a^2 - b^2)

It is centered at the origin so h,k are zero

(x)^2        (y)^2

---------- + --------- = 1

a^2            b^2

The center is at (0,0)

The vertices are at (0±a, 0)

The foci are at (0±c,0 )

The vertices are (±2,0)  so a =2

The foci is 1

c = sqrt(a^2 - b^2)

1 = sqrt(2^2 - b^2)

Square each side

1 = 4-b^2

Subtract 4 from each side

1-4 = -b^2

-3 = -b^2

3= b^2

Take the square root

b=sqrt(3)

(x)^2        (y)^2

---------- + --------- = 1

 4              3

4 0
3 years ago
HELPPPP !!! ASAP!!!!
Akimi4 [234]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
8^10 ÷ 8^5 = 8^2 True or false
tamaranim1 [39]

Answer:

it is true

Step-by-step explanation:

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6 0
3 years ago
A rectangular floor is 8 yards long and 3 yards wide. What is the area of the floor in square feet?
sweet-ann [11.9K]

1 yard = 3 feet

8*3 = 24 feet

3 *3 = 9 feet

24 * 9 = 216 square feet

4 0
3 years ago
A circle in the standard (x,y) coordinate plane has
Otrada [13]

Given:

Center of a circle is at point C(-1,2).

AB is the diameter of the circle.

Coordinates of the point A are A(2,6).

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

If AB is the diameter of the circle, then A and B are end points of diameter of the circle and the center C is the midpoint of AB.

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Point C = Midpoint of AB

(-1,2)=\left(\dfrac{2+a}{2},\dfrac{6+b}{2}\right)

On comparing both sides, we get

\dfrac{2+a}{2}=-1

2+a=-1\times 2

a=-2-2

a=-4

Similarly,

\dfrac{6+b}{2}=2

6+b=2\times 2

b=4-6

b=-2

Therefore, the coordinates of point B are (-4,-2).

8 0
3 years ago
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