Answer:
<h2>
X-intercept: (2, 0)
</h2><h2>
Y-intercept: (0, 6)
</h2>
Step-by-step explanation:
X-intercept means y-coordinate of 0:
6x +2×0 = 12
6x = 12
x = 2 ← x-coordinate
Y-intercept means x-coordinate of 0:
6×0 + 2y = 12
2y = 12
y = 6 ← y-coordinate
Answer:
1. y = 4
2. x = 10
3. n = 6
4. m = 4
5. h = 2
Step-by-step explanation:
Hope this helps!!
1.x^2 +6x - 4 = 6x
X^2 + 6x -4 - 6x = 0
X^2 - 4 = 0
By difference of two squares :
X^2 - 4 = 0 can be written as (x-2) (x+2) = 0
(X-2)=0 therefore x= 2
(X+2)=0 therefore x= -2
2. X^2 - 8x = -6x
X^2 -8x + 6x = 0
X^2 - 2x = 0
X(X-2) = 0
X= 0, X= 2
Answer:
Step-by-step explanation:
Given that:
for 
That means, angle 
is in the 3rd quadrant.
To find:
Value of cot(t)
Solution:
First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.
In 3rd quadrant, tangent and cotangent are positive.
All other trigonometric ratios are negative.
Let us have a look at the following identity:
here, 
So, 
But, angle is in 3rd quadrant, so value of
Answer:
729
Step-by-step explanation:
Each side of the cube measures 9cm
The volume of a cube is V^3
Therefore the volume can be calculated as follows
= 9^3
= 729
Hence the volume is 729
