Answer:
0
Step-by-step explanation:
<h3>Given</h3>
- (x +
)(y + 
) = 1 - (x+y)² = ?
<h3>Solution</h3>
<u>Let's make substitution as:</u>
- (x + ) = m
then
- (y + ) = 1/m
<u>Solving the first equation for x and the second one for y:</u>
- (x + ) = m
- = m - x
- 1 + x² = (m - x)²
- 1 + x² = m² - 2mx + x²
- 2mx = m² - 1
- x = (m² - 1)/2m
And
- (y + ) = 1/m
- = 1/m - y
- 1 + y² = 1/m² -2y/m + y²
- 1 = 1/m² - 2y/m
- m² = 1 - 2my
- 2my = 1 - m²
- y = (1 - m²)/2m
- y = - (m² - 1)/2m
<u>Now, sum of x and y:</u>
- x + y = (m² - 1)/2m - (m² - 1)/2m = 0
<u>Therefore:</u>
Answer is zero
Answer:
a) Option A: r = 5
b) Option C: y = x
Step-by-step explanation:
a) First, we know that a circle centered at the origin of radius R is written as:
x^2 + y^2 = R^2
Then x^2+y^2=25 can be rewritten as:
x^2 + y^2 = 5^2
This is a circle of radius 5.
Then in polar form, this can be written as:
r = 5
b) Now we have the angle 225°
For rectangular coordinates (x, y)
The correspondent value of θ is given by:
Tan(θ) = y/x
In this case, we have θ = 225°
Then:
Tan(225°) = 1 = y/x
This can be rewritten as x = y
Then the correct option is C) y = x
I don’t know the answer to this bc I can’t remember
Answer:
If you're looking for a shortcut, I usually find the number 1 less than what you are multiplying 9 by, this case 8, and then add a number that gets to 9.
So 9x6 would be:
5+4=9
54
Step-by-step explanation:
When multiplying by 9s the product's two numbers added together =9.
Sorry if this is confusing. Hope this helps though.
Answer:
a. In the same vertical line and segment lenght is 12 units.
b. Those are not in the same horizontal or vertical line.
c. In the same vertical line and segment lenght is 7 units.
d. In the same horizontal line and the segment lenght is 9 units.
Step-by-step explanation:
A. the end points are (0,-2) and (0,9). If we represent this two end points on a coordinate axis we can see that these points are in the same vertical line according to the <em>y</em> axis. And the lenght of the segment that joints the pair of points is 12 units lenght.
B. For subsection b the two given end points if we represent those on a coordinate axis we can say that thse two points are not in the same horizntal or verticall line each other. Because non of the numbers of each point match each other in the same axis.
C. The end points given are (3,-8) and (3,-1), and these points represented on a coordinate axis we can say that those are in the same vertical line. And the lenght of the segment each other is 7 units lenght.
D. The end points of subsection D are (-4,-4) and (5,-4) those points represented on a coordinate axis we can see that those are in the same horizontal line and the length of the segment is equal to 9 units.
