Answer:
D
Step-by-step explanation:
X⁴ + x³ - 2x² + x + (2x⁴ - 2x²<span> - 3) =
</span>x⁴ + x³ - 2x² + x + 2x⁴ - 2x² - 3 =
3x⁴ + x³ - 4x² + x - 3 ← <span>the missing polynomial</span>
X + x+1 + x+2 + x+3 + x+4 = 110
5x +10 = 110
5x = 100
x = 20
The numbers are
20 21 22 23 and 24
60/15=4 meaning 25% of the dogs are purebreed
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