<h3>
Answer:</h3>
[5] <u>By central angle property</u>,
- x = 6x - 290
- x - 6x = - 290
- - 5x = - 290
- x = 290/5
- x = 58.
[6] <u>By same arc property</u>,
- 8x + 4 = 9x - 11
- 8x - 9x = - 11 - 4
- - x = - 15
- x = 15.
[7] <u>By central angle property</u>,
- 7x + 4 = 2x + 49
- 7x - 2x = 49 - 4
- 5x = 45
- x = 45/5 = 9.
[8] <u>As they are radius i.e, equal</u>,
- x + 9 = 2x + 6
- x - 2x = 6 - 9
- - x = - 3
- x = 3.
[9] <u>By central angle property</u>,
- 9x = 12x - 21
- 9x - 12x = - 21
- - 3x = - 21
- x = - 21/- 3
- x = 7.
[10] <u>They are radius so equal</u>,
- 8x + 2 = 10x - 20
- 8x - 10x = - 20 - 2
- - 2x = - 22
- x = -22/-2
- x = 11.
B and c are the correct answer
Answer:
The solutions are x = 3, y=10 and x=7, y=30.
Step-by-step explanation:
We use substitution to solve this:
5x - y = 5
y = 5x - 5
Now substitute for y in the second equation:
2y - x^2 = 11 Replace y by 5x - 5:-
2(5x - 5) - x^2 = 11
10x - 10 - x^2 = 11
x^2 - 10x + 21 = 0
(x - 3)(x - 7) = 0
x = 3 , 7.
Now we find the values of y corresponding to these 2 values of x:
When x = 3 ( using y = 5x - 5):
y = 5*3-5 = 10 and
when x = 7
y = 5*7 - 5 = 30.
The name of the point where the x and y axes meet is called the <u>origin, and the coordinates of the origin is (0,0)</u>.
Answer:
y = -(x+4)² +7
Step-by-step explanation:
I find it convenient to factor the leading minus sign from the first two terms, then work with what's left.
... y = -(x² +8x) -9
Now, add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.
... y = -(x² +8x +4²) -9 +4²
... y = -(x +4)² +7 . . . . . . . . . rewrite parentheses as a square; collect terms
