Answer:
Step-by-step explanation:
To write an equation for a circle, we need to find the center and the radius. We need to find the distance between the two endpoints to find the radius. To do that, use the distance formula:
d = √(2 - 5)² + (1 + 3)²
√(-3)² + (4)²
√9 + 16 = √25 = 5
If the diameter is 5, the radius is 2.5
Now we need to find the center/midpoint. Use the midpoint formula:
(5 + 2)/2, (-3 + 1)/2
7/2, -2/2
(3.5, -1)
Now that we have the center and the radius, we can make our equation. Remember that the equation of a circle is: (x - x of center)² + (y - y of center) = radius²
(x - 3.5)² + (y + 1)² = 6.25
Hope this helps
Answer:
72cm³
Step-by-step explanation:
Base of the triangular face =3 cm.
Height of the triangular face = 4 cm.
Length of the prism = 12 cm.
Volume of a Prism= Base Area X. length
The base of a triangle prism is a triangle, therefore:
Volume of a Triangular Prism= ½bh X Length
=½ X 3 X 4 X 12
=½ X 144
=72cm³
Volume of the triangular Prism= 72cm³
First the left side of an equation:"six added to twice the sum of a number and four": ( x - a number )
6 + 2 ( x + 4 )Then the right side:"one half of a difference of three and a number":1/2 ( 3 - x )And the solution:A ) 6 + 2 ( x + 4 ) = 1/2 ( 3 - x )
The volume of the dilated prism when the dimensions are dilated by a factor of 32 is 393,216 m³.
<h3>What is dilation?</h3>
Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Given
A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32.
The area after the dilation.
Dilated area = (Dilation)² x base area
Dilated area = 32² x 3
Dilated area = 3072 m²
The height after the dilation.
Dilated area = Dilation x base area
Dilated area = 32 x 4
Dilated area = 128 m
The volume of the dilated prism.
Volume = 3072 x 128
Volume = 393216 m³
The volume of the dilated prism is 393,216 m³.
More about the dilation link is given below.
brainly.com/question/8652140
I dont know the question sory
