Answer:
D. DE = 24 yd, EF = 10 yd
Step-by-step explanation:
Solve for the unknown angles by setting up common ratios and cross multiplying. You can use this method because they are similar triangles.
For example, DE can be found by setting the ratios of AC/AB equal to the ratio of DF/DE.
13/12 = 26/x
Simply solve for x!
I don't know the anwser sorry and what grade are u in
1; 0; and for the last one x^3 x=cubic root of 3
Answer:
The answer is 40 320 ways.
Step-by-step explanation:
In permutation, object cannot be reuse and order matters.
So for this question, MULTIPLY can be arranged in many forms :
8P8 = 40 320
The function, as presented here, is ambiguous in terms of what's being deivded by what. For the sake of example, I will assume that you meant
3x+5a
<span> f(x)= ------------
</span> x^2-a^2
You are saying that the derivative of this function is 0 when x=12. Let's differentiate f(x) with respect to x and then let x = 12:
(x^2-a^2)(3) -(3x+5a)(2x)
f '(x) = ------------------------------------- = 0 when x = 12
[x^2-a^2]^2
(144-a^2)(3) - (36+5a)(24)
------------------------------------ = 0
[ ]^2
Simplifying,
(144-a^2) - 8(36+5a) = 0
144 - a^2 - 288 - 40a = 0
This can be rewritten as a quadratic in standard form:
-a^2 - 40a - 144 = 0, or a^2 + 40a + 144 = 0.
Solve for a by completing the square:
a^2 + 40a + 20^2 - 20^2 + 144 = 0
(a+20)^2 = 400 - 144 = 156
Then a+20 = sqrt[6(26)] = sqrt[6(2)(13)] = 4(3)(13)= 2sqrt(39)
Finally, a = -20 plus or minus 2sqrt(39)
You must check both answers by subst. into the original equation. Only if the result(s) is(are) true is your solution (value of a) correct.
