Answer:
(2,1)
Step by step explanation:
Please find the attachment.
We have been given that line is horizontal and passes through point (1,1). Line is vertical and passes through point (2,2). We are asked to find point of intersection of line and line .
Line is a horizontal line so y-coordinate will be 1 for any value of x. Line is a vertical line, so x-coordinate will be 2 for any value of y.
Therefore, intersection point of both lines will include x-coordinate of line and y-coordinate of line that is (2,1).
Answer:
x² + 4xy + 4y²
Step-by-step explanation:
(x + 2y)² = (x + 2y)(x + 2y)
Each term in the second factor is multiplied by each term in the first factor
(x + 2y)(x + 2y)
= x(x + 2y) + 2y(x + 2y) ← distribute both parenthesis
= x² + 2xy + 2xy + 4y² ← collect like terms
= x² + 4xy + 4y²
Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad
Hi.
The equation looks like this:
10<em /><em>x</em>² = 50<em>x
</em><em>disclaimer:
</em>
I answered to provide you with an idea, more so than trying to solve it.