Answer:
(0.25x, 0.25y)
Step-by-step explanation:
Since the origin is the center of the scale factor of dilation, we don't need to add or subtract anything
Multiplying the x and y values of the ordered pair by 0.25 represents what the value would be with the scale factor, meaning multiplication.
Answer:
Step-by-step explanation:
Yes. because In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers
Answer:
x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Step-by-step explanation:
Solve for x:
-3 + sin(x) + 2 sin^2(x) = 0
The left hand side factors into a product with two terms:
(sin(x) - 1) (2 sin(x) + 3) = 0
Split into two equations:
sin(x) - 1 = 0 or 2 sin(x) + 3 = 0
Add 1 to both sides:
sin(x) = 1 or 2 sin(x) + 3 = 0
Take the inverse sine of both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) + 3 = 0
Subtract 3 from both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) = -3
Divide both sides by 2:
x = 2 π n_1 + π/2 for n_1 element Z
or sin(x) = -3/2
Take the inverse sine of both sides:
Answer: x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
1ST Piece =======> 2x ======> 2 * 3 ft. ======> 6 ft.
2ND =========> 5x =======> 5 * 3 ft. ======> 15 ft.
3RD ==========> 4 Feet =======> 4 ft.
Sum ======> 25 Feet
Equation:
(2x + 5x) + (4) = 25
Let's solve your equation step-by-step.
2x + 5x + 4 = 25
Step 1: Simplify both sides of the equation.
2x + 5x + 4 = 25
(2x + 5x) + (4) = 25 (Combine Like Terms)
7x + 4 = 25
7x + 4 = 25
Step 2: Subtract 4 from both sides.
7x + 4 − 4 = 25 − 4
7x = 21
Step 3: Divide both sides by 7.
7x / 7 = 21 / 7
Answer ========> x = 3
Check:
(2x + 5x) + (4) = 25
2(3) = 6
5(3) = 15
3rd Piece = 4
Sum = 25
6ft. + 15ft. + 4ft = 25
25 = 25
Hope that helps!!!!!!!!!!!!! : )
