6x - 4y = 12...divide everything by 2
3x - 2y = 6
u notice it is the same as ur other equation...this means the lines are coincident...they are the same line and therefore, have infinite solutions.
Answer:
The following tells what variable terms are and a explanation. I hope this is helpful
Step-by-step explanation:
Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables. ... In , the terms are: 5x, 3y, and 8. When a term is made up of a constant multiplied by a variable or variables, that constant is called a coefficient.
Answer:
i) sin(2x) = 
ii) cot(x+360) = 
iii) sin(x-180) = 
Step-by-step explanation:
sec(x) = 2
Since cos(x) is reciprocal of sec(x), this means:
cos(x) = 
cosec(x) is negative , this means sin(x) is also negative. The only quadrant where cos(x), sec(x) are positive and sin(x), cosec(x) are negative is the 4th quadrant. Hence the terminal arm of the angle x is in 4th quadrant.
Part i)
sin(2x) can be simplified as:
sin(2x) = 2 sin(x) cos(x)
First we need to find the value of sin(x). According to Pythagorean identity:
Since, angle is in 4th quadrant, sin(x) will be negative. So considering the negative value of sin(x) and substituting the value of cos(x), we get:
So,
Part ii)
We have to find cot(x + 360)
An addition of 360 degrees to the angle brings it back to the same terminal point. So the trigonometric ratios of the original angle and new angle after adding 360 or any multiple of 360 stay the same. i.e.
cot(x + 360) = cot(x)
Using the values, we get:
Part iii)
We need to find the value of sin(x - 180)
sin(x - 180) = - sin(x)
Addition or subtraction of 180 degrees changes the angle by 2 quadrants. The sign of sin(x) becomes opposite if the angle jumps by 2 quadrants. For example, sin(x) is positive in 1st quadrant and negative in 3rd quadrant.
So,
sin(x - 180) = 
Hello!
To find this answer, you would have to find out what 3/5 of 350 is.
3/5 of 350 is 210.
Then you subtract 210 from the total amount of pages.
350-210=140
140 is the amount of pages you have left to read.
Hope this helps! :D
Answer:
190.9 in³
Step-by-step explanation:
Whenever one is asked to find how much(quantity of something) a certain container can hold,all you need to understand is that you are been asked about the volume of that container
We all know that the volume of a sphere is 4/3 × 22/7 × r³
And since we are dealing with a container in the shape of half a sphere,the volume of that container will now be volume of a sphere divided by 2
If the formula that was given initially was divided by 2,the new formula will look like this:
4/6 × 22/7 × r³
And we have the diameter but not the radius and we know that to find the radius, all we need to do is to divide the diameter by 2
That is 9/2 = 4.5
Putting the values in the formula,we can now derive the volume of that sphere
4/6 × 22/7 × 4.5³
= 190.9 in³ of soil
