SOHCAHTOA can anyone help me with this

a student was given the equation x^2+6x-13=0 the next step in the students process was x^2+6x+c=13+c state the value of c that c

Ratling [72]

This is the process of completing the square.
Keep this equation in mind: $ax^2+bx+c$
Basically, to make this a perfect square trinomial, you take half of b and square that value. This will make it so you can compress the left side of the equation into $(x+b)^2 \ or \ (x-b)^2$ depending on the sign in the middle of the original equation.

4 0

3 years ago

You have a jar of jelly beans in front of you

Zepler [3.9K]

Answer: The probability of selecting either a lime or bubble gum followed by a papaya is 425/2209

Step-by-step explanation:

Since, there are four types of items in the jar, namely- lime, papaya, mango and bubble gum that have quantities of 12, 17, 5 and 13 respectively. Before finding the probabilities, we first add up the quantities or number of different items in the jar.

12 + 17 + 5 + 13 = 47 in total.

Since lime is 12 in number, the probability of selecting a lime is = 12/47.

Bubble gums are 13 in number, so the probability of selecting a bubble gum = 13/47.

Then the probability of selecting either a lime or a bubble gum is the addition of the probabilities of selecting a lime and selecting a bubble gum:

= 12/47 + 13/47

= 25/47.

Again, the probability of selecting a papaya is =

number of papaya/total number of items

= 17/47

If the system is with replacement, then the probability of selecting a lime or bubble gum followed by a papaya is:

= Probability of selecting a lime or bubble gum × Probability of selecting papaya

= 25/47 × 17/47

= 425/2209

The probability of selecting a lime or bubble gum followed by a papaya is 425/2209

7 0

2 years ago

12n^2+12n+9=0<br> Please solve!

Bogdan [553]

Answer:

n = (1/2)(-1 ± i√2)

Step-by-step explanation:

Among the several ways in which quadratic equations can be solved is the quadratic formula. Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac: 12^2 - 4(12)(9) = 144 - 432 = -288. The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots. These roots are:

-b ± √(discriminant)

n = ---------------------------------

2a

Here we have:

-12 ± √(-288) -12 ± i√2√144 -12 ± i12√2

n = ---------------------- = ------------------------ = --------------------

2(12) 24 24

or:

n = (1/2)(-1 ± i√2)

5 0

3 years ago

How is 81^1/4 is 3?

e-lub [12.9K]

Answer:

$\sqrt[4]{81} = {( {3}^{4}) }^{ \frac{1}{4} }$

Step-by-step explanation:

it's obvious that 3·3·3·3=81

or you can do the prime factorization of 81

6 0

2 years ago

Which point lies on the line described by the equation below y + 8 equals 4 x - 5

monitta

The answer would be 5, - 8

3 0

2 years ago