Answer:
The coordinates are ( 4, -3).
Step-by-step explanation:
We can find the coordinates by solving the 2 equations
y = 1/4x-4
y = -1/2x-1
As both left sides of the equation are y we can say:
-1/2x-1 = 1/4x-4
-1/2x - 1/4x = -4 + 1
-3/4 x = -3
x = -3 * -4/3
x = 4.
- and y = 1/4(4) - 4 = -3.
Answer:
1/12
Step-by-step explanation:
1/6 divided by 2 = 1/12
18 is the least common denominator of all the fractions, so you can eliminate fractions by multiplying the equation by 18.
(4.5*18)x +((7/9)*18)x + (2 1/3)*18 + ((1/6)*18)x = (5 1/18)*18
81x +14x +42 +3x = 91 . . . . . simplify
Collect terms.
98x + 42 = 91
98x = 49 . . . . . . . . . subtract 42
x = 49/98 = 1/2
The solution is x = 1/2.
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You can also do the arithmetic with mixed numbers and fractions. The usual methods apply.
(4.5 + 7/9 + 1/6)x + 2 1/3 = 5 1/18
(49/9)x + 7/3 = 91/18
(49/9)x = 49/18 . . . . . . . subtract 7/3
x = (9/49)(49/18) = 9/18 = 1/2 . . . . . multiply by 9/49
This can be a little more tedious than the method above, but it works and it will give you the right answer. A calculator that works with fractions can make this solution as easy as the other one.
1.41 is the decimal of square root of 2
Out of the given choice, the equation represents 
.
Answer: Option B
<u>Step-by-step explanation:</u>
We know, 
Given data:
So, now sin theta can express as
Sin theta defined by the ratio of opposite to the hypotenuse. In general, the adjacent can be calculated by,
Taking square root, we get
Also, we know the formula for cot theta,
Cos theta denoted as the ratio of adjacent to the hypotenuse.
Therefore, find now as below,
