Answer:
a = 1
b = - 1
Explanation:
To know the values of a and b, we need to solve the following equation:
So, replacing cos(-π/4) by √2/2 and sin(-π/4) by -√2/2, we get:
Applying the distributive property:
Therefore, we can complete the equation as:
It means that a = 1 and b = - 1.
Answer:
x = 50
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Therefore, add together the expressions for all 4 angles, equal to 360, and solve for x:
(2x + 15) + (3x - 20) + x + (x + 15) = 360
Gather like terms: 2x + 3x + x + x + 15 - 20 + 15 = 360
Combine like terms: 7x + 10 = 360
Subtract 10 from both sides: 7x = 350
Divide both sides by 7: x = 50
You have 2 points with the same x value of 2 and 2 points with the same y value of 4.
You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.
The missing point would need to be (4,1)
The width would be x2-x1 = 4-2 = 2 units
The length would be y2-y1 = 4-1 = 3 units
Area = 3x 2 = 6 square units
Answer:
10 cm!
I think...it's really basic math so...maybe?