The value of X is 4/5 if point P is on the unit circle and if the coordinate of P is -3/5 and P is in iV quadrant.
We know that unit circle is the circle of radius 1 unit. We are given the y-coordinate of P, that is y = -3/5. Now if we draw a perpendicular line at x-axis, and we know the length of line joining the P and the origin is 1 unit (h = 1). We can construct a right triangle. Then by pythagorean theorem.
x² + y² = h²
x² = √(h² - y²)
x² = √(1² - (-3/5)²)
x² = √(1 - (9/25))
x² = √(16/25)
x = 4/5
Since X is in the IV quadrant, where x is positive and y is negative.
So x = +4/5
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I need help with this paper, it would be much appreciated.
1. y = a(x + 5)^2 + 6
2. y = a(x - 1)^2 + 4
3. y = a(x + 2)^2 - 6
4. y = a(x - 4)^2 - 10
5. y = a(x + 2)^2 - 4
6. y = a(x - 3)^2 + 12
These are the equations of the quadratic in vertex form, where (h, k) are the vertex coordinates, and a is the coefficient of x^2. In each case, the x-intercepts provided are plugged into the equation to check if it equals zero, which is how we can confirm that it is a correct equation for the parabola.
I hope this helps :)
Solve for m:-
2(m-5) = m-3
The value of m in the given equation will be 7.
Steps to solve the linear equation :
⇒2(m-5) = m-3
Bring RHS (Right hand side) terms to LHS(left hand side) of the equation,
⇒2(m-5) - (m-3) = 0
Now open the brackets,
⇒2m - 10 - m + 3 = 0
Now solve for m,
⇒2m - m - 10 + 3 = 0
⇒m - 10 + 3 = 0
⇒m - 7 = 0
Taking 7 to the RHS of the equation,
⇒m = 7
∴ The value of m is 7
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To solve for m in the equation 2(m-5) = m-3, we can start by distributing the 2 on the left side of the equation:
2m - 10 = m - 3
Next, we can add 3 to both sides of the equation to get:
2m - 10 + 3 = m
This simplifies to:
2m - 7 = m
Now we can subtract m from both sides:
2m - m - 7 = 0
This simplifies to:
m - 7 = 0
Finally, we can add 7 to both sides to solve for m:
m = 7
So the solution for m is 7.
the graph of f' the derivative of f is shown above which of the following statements is true about f
The chart of the derivative of f is shown above the subsequent statement is true about f growing for -2<=x<=0
What is meant by Mathematical equation?A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra. Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal."The slope-intercept form, standard form, and point-slope form are the three primary formats for linear equations.A mathematical expression with two equal sides and an equal sign in the middle is called an equation. An example of an equation is 4 + 6 = 10.A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality.A mathematical expression known as an equation is one in which one side of the expression equals the other, as in the example above: Since we know that 4 + 4 = 8 and 10 - 2 = 8, the equation is true because both sides are equal.To learn more about Mathematical equation, refer to:
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