Answer:
b
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ← r is the radius
The circle shown is centred at the origin and has a radius of 5, thus
x² + y² = 5² ⇒ x² + y² = 25 → b
The answer
let p' be the corresponding angle of the angle p (that is because of the prallelism and the transversal, look the image)
but p' and p are correspondant angles implies p'=p,
looking at the figure, p' and q are opposite angles
so q=p' and p'=p implies q=p
the answer is
<span>p = q</span>
9514 1404 393
Answer:
-8/5
Step-by-step explanation:
When you solve for y, the slope of the line is the x-coefficient. For the given line, that is ...
8y = 5x +11 . . . . . add 5x
y = 5/8x +11/8 . . . . divide by 8
The given line has a slope of 5/8. The perpendicular line will have a slope that is the opposite of the reciprocal of this:
-1/(5/8) = -8/5 . . . . slope of perpendicular line
Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
