Answer:
(x + 7)² + (y + 3)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 7, - 3) and r = 2, so
(x - (- 7))² + (y - (- 3))² = 2², that is
(x + 7)² + (y + 3)² = 4
Simplifying the expression (x - 2y) + (3x + 4y).
Work:
(x - 2y) + (3x + 4y)
Combine like terms.
x + 3x = 4x
-2y + 4y = 2y
Reform the expression.
4x + 2y
Simplified Expression: 4x + 2y.
Answer:
B. y=sin(x) and y=-1/2
Step-by-step explanation:
We have been given the following trigonometric inequality;
2sin(x)=>-1
The above inequality can be re-written as;
sin(x)=>-1/2
after dividing both sides by 2.
We can then formulate two separate equations, one containing the expression on the right hand side and the other containing the expression on the left hand side;
From the left hand side we form the following equation;
y = sin(x)
From the right hand side we form the following equation;
y = -1/2
Therefore, the above two equations can be graphed to help solve the given trigonometric inequality
Step-by-step explanation:
18x²-8
= 2(9x²-4)
= 2(3x+2)(3x-2)
Answer:
x > -17/2
Step-by-step explanation:
Step 1: Write inequality
-2x - 5 < 12
Step 2: Solve for <em>x</em>
<u>Add 5 to both sides:</u> -2x < 17
<u>Divide both sides by -2:</u> x > -17/2
Here, we can see that any number greater than -17/2 would work, so x could equal 01234718905731857013570 if we wanted it to, as long as it is greater than -8.5.