Answer:
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Step-by-step explanation:
33.33%
2^(1+2n)
2^(1+0) = 2
2^(1+2) = 2^3 = 8
2^(1+4) = 2^5 = 32
To find CD use the trig ratio that relates that side you're looking for to the angle you have and the other side you're given. We have that the reference angle is 30, and we also have the hypotenuse of that right triangle on the left. Solving for AC, which is the side opposite, we will use the sin ratio:
. 10 sin(30) = AC. Therefore, AC = 5. Now that have that side measure, we can use that along with the reference angle in the right triangle on the right of 25 to find CD, which happens to be the side adjacent to the reference angle. That satisfies our tangent ratio requirements. Our ratio looks like this then:
. Solving for CD,
and CD = 10.7, the third choice above.
I'm assuming that you meant:
1
f(x) = -------- and that you want to find the value of x at which f(x) = h(x).
x+1
Of course you could create a table for each f(x) and h(x), but setting f(x)=h(x) and solving for x algebraically would be faster and more efficient:
1
f(x) = -------- = 2x + 3 = h(x). Then 1 = (x+1)(2x+3) = 2x^2 + 3x + 2x + 3
x+1
or 1 = 2x^2 + 5x + 3, or 2x^2 + 5x + 2 = 0.
This is a quadratic equation with a=2, b=5 and c=2. The discriminant is b^2-4ac, or 5^2-4(2)(2), OR 25-16= 9.
Thus, the roots are
-5 plus or minus sqrt(9)
x = ------------------------------------
2(2)
-5 plus or minus 3
= ----------------------------------
4
= {-1/2, -2}
Thus, f(x) = h(x) at both x=-1/2 and x= -2.
Answer:
ejemplo:
Jimin obtuvo 20 puntajes más altos en matemáticas, Y jin obtuvo 10 puntajes en matemáticas, Entonces, ¿cuántas puntuaciones tienen?
Step-by-step explanation:
20
x10
___
30