Answer:
x=5
Step-by-step explanation:
3.5=0.75x-0.25
add 0.25 to 3.5
3.75=0.75x
divide 3.75 by 0.75
x=5
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:
18 1/2 years old
Step-by-step explanation:
x-3= 15 1/2
x= 15 1/2 + 3
x= 18 1/2
Hunter is 18 1/2 years old.
Answer:
-18
Step-by-step explanation:
Given:
f(x)=4-x^2 and g(x) =6x
h(3) = (g-f)(3)
= 6x - (4x^2)
= 6*3 -(4*3^2)
= 18 - 4*9
= -18