Answer:
The line equation is given as: 3 y = 2 x - 9
Step-by-step explanation:
Here, Y intercept is at point ( 0.-3)
So, at x = 0, y = -3
or, C = -3
Also, the point on the equation line is (x,y) = (-9,-9)
Now, by <u>SLOPE INTERCEPT FORM</u> of a line equation,we get:
y = m x + C : m = slope of line ......... (1)
So, substituting the values of C and (x,y) , we get:
-9 = m (-9) + (-3)
or, -9 + 3 = - 9 m
or, m = -6/-9 = 2/3
or, m = 2/3
Now, substitute the value of m back in to the line equation (1)

Hence, the line equation is given as: 3 y = 2 x - 9.
Answer:
10
Step-by-step explanation:
AB = CD = 10, so AB = 10
Answer:
236 cm²
Step-by-step explanation:
Height of an equilateral triangle (h) = √3 /2 (l)
l = side of the equilateral triangle.
h = √3 /2 (15)
In an equilateral triangle the orthocenter, centroid, circumcenter and incenter are in the same spot
The center of the circle is the centroid and height match with the median. The radius of the circumcircle is equal to two thirds the height.
Formula for the Radius of the circumcircle = 2/3 h
= 2/3 x √3 /2 (15)
= 5 √3 cm (=radius)
Area of the circle = πr^
= 3.14 x( 5 √3 ) ^
=3.14 x(25*3)
=3.14 x 75
=235.5
=236 cm²
<u>Given</u>:
Given that the side length of the cube is 1.8 cm
We need to determine the lateral surface area of the cube.
<u>Lateral surface area of the cube:</u>
The lateral surface area of the cube can be determined using the formula,

where a is the side length.
Substituting a = 1.8 in the above formula, we get;

Squaring the term, we get;

Multiplying, we get;

Thus, the lateral surface area of the cube is 12.96 cm²