The first set:
3x + 2y = 2 ---1)
5x + 4y = 6 ---2)
From 1), multiply all by 2, 6x + 4y = 4 ---3)
3) - 2),
6x + 4y - (5x + 4y) = 6 - 4
6x + 4y - 5x - 4y = 2
x = 2
Sub in x = 2 into 1),
3(2) + 2y = 2
2y = -4
y = -2
(2 , -2)
The second set:
3x + 2y = 2 ---1)
11x + 8y = 10 ---2)
From 1), multiply all by 4, 12x + 8y = 8 ---3)
3) - 2),
12x + 8y - (11x + 8y) = 8 - 10
12x + 8y - 11x - 8y = -2
x = -2
From this x value alone, we can tell that these two linear systems do NOT have the same solution as they meet at different coordinates.
Hope this helped! Ask me if there's any working from here that you don't understand! :)
interior angle of a regular 18-gon.
It is easier to calculate the exterior angle of a regular polygon of n-sides (n-gon) by the relation
exterior angle = 360/n
For a 18-gon, n=18, so exterior angle = 360/18=20 °
The value of each interior angle is therefore the supplement, or
Interior angle = 180-20=160 degrees.
Naming of a 9-gon
A polygon with 9 vertices is called a nonagon (in English) or enneagon (French ennéagone, but the English version is sometimes used)
You had a good start with the correct answer.
Exterior angle of a 15-gon
The exterior angle of a 15-gon can be calculated using the relation given in the first paragraph, namely
Exterior angle = 360/15=24 degrees
Answer:
(b) 0 = Yes; 1-9 = No
Step-by-step explanation:
Among digits, 10% of 10 digits is a single digit. Any answer choice that suggests more than one digit be used for "yes" is not appropriate. A good choice is ...
0 = Yes; 1-9 = No . . . . . choice (b)
The coordinates of point P are (-3 , -6)
Step-by-step explanation:
If point (x , y) partitions line AB where A = 
and B = 
at a ratio 
from A then:
1. 
2. 
∵ P partitions AB in the ratio 3 : 4
∴ = 3 : 4
∵ A = (-9 , -9) and B = (5 , -2)
- Substitute the coordinates of points A and B in the rules above
∵ 
∴ 
∴ 
∴ x = -3
The x-coordinate of P is -3
∵ 
∴ 
∴ 
∴ y = -6
The y-coordinate of P is -6
The coordinates of point P are (-3 , -6)
Learn more:
You can learn more about the mid-point of a segment in brainly.com/question/5223123
#LearnwithBrainly
As you can see from the polygon, 70/10= 7.
The second polygon is an enlargement of the first one.
Just multiply 4*7 to get the answer.
4*7= 28
That's the answer!
I hope this helped you!
Brainliest answer is always appreciated!
