Answer:
(p, q) = (8, 82)
Step-by-step explanation:
When a circle is centered at the origin, the radius to point (a, b) will have slope m = b/a. The tangent is perpendicular to the radius, so the tangent at point (a, b) will have slope -a/b. In point-slope form, the equation of the tangent line will be ...
y -k = m(x -h) . . . . . point-slope equation of line with slope m through (h, k)
y -b = (-a/b)(x -a)
Rearranging this to standard form, we have ...
b(y -b) = -a(x -a)
by -b² = -ax +a²
ax +by = a² +b²
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For (a, b) = (5, 4), the standard form equation of the tangent can be written ...
5x +4y = 5² +4² = 41
Your given equation has an x-coefficient that is twice the value shown in this equation, so we need to multiply this equation by 2:
2(5x +4y) = 2(41)
10x +8y = 82
Comparing to 10x +py = q, we see that ...
p = 8
q = 82
Answer:
A
Step-by-step explanation:
See paper for order of operations
#1
(56,7) is the co-ordinate of point B.
#2
(56,7)
It means that the ball has travelled 56yards .it is at the height of 7ft.
We know that the Pythagorean Theorem is a² + b² = c² and that the area of a square is l x w.
Firstly, we'll have to find the two measures of the triangle that correspond to the areas.
Since the figures are squares, we know that the length and width values must be the same.
We could square the numbers to find the side lengths, however we would have to square them again when substituting for the Pythagorean Theorem, so we can leave them as-is and adjust the equation accordingly.
(33) + b² = (44)
Next, we'll subtract our smaller value from our larger.
b² = (11)
Once again, we could find the square root of this number, but we'd just have to square it again to find the area of the square, so we can just simply write our answer as 11 units.
Therefore, the area of the square is 11 units!
<em>Hope this helped! :)</em>
Answer: 68 ounces
Step-by-step explanation: 26x 2= 52 52+ 16= 68 ounces
