X^2+12x+6=0 subtract 6 from both sides...
x^2+12x=-6 halve linear coefficient, square it, and add it to both sides...
x^2+12x+36=30 now the left side is a perfect square...
(x+6)^2=30 take square root of both sides...
x+6=30^(1/2) subtract 6 from both sides...
x=-6-30^(1/2) and -6+30^(1/2)
Answer:
1. 
2. <u>Given</u>
3. 
4. <u>Side-Side-Side (SSS) rule of congruency</u>
Step-by-step explanation:
The two column proof is presented as follows;
Statement 
Reason
1. 
≅ Given
2. 
≅ 
<u>Given</u>
3. ≅ Reflexive property
4. ΔRST ≅ ΔTUR <u>SSS rule of congruency</u>
The Side-Side-Side rule of congruency states that if three sides of one triangle are congruent to three sides of another triangle then both triangles are congruent.
Answer: 1/6
Step-by-step explanation: To find the probability of rolling a 4, let's use our ratio for the probability of an event which is shown below.
Number of favorable outcomes/total number of outcomes
Since only one side of a number cube has a 4 on it, the number of favorable outcomes for rolling a 4 is 1 and since there are six sides to a number cube and it's equally likely that the cube will land on any of these sides, the total number of outcomes is 6.
So the probability of rolling a 4 is 1/6 which is equivalent
to 0.167 or 16.7%.
That means it is't likely that you would roll a 4 for instance but it's just as likely as rolling any other number.
Answer:
1/3
Step-by-step explanation:
Your choice of answer must be consistent with the instructions.
The only answer with no exponent is the correct one:
1/3
__
The rules of exponents tell you ...
(a^b)(a^c) = a^(b+c)
3^(-4) × 3^3 = 3^(-4+3) = 3^-1
and
a^-b = 1/a^b
so
3^-1 = 1/3^1 = 1/3 . . . . written without an exponent
Answer:
3n + 8 ≤ 32
Step-by-step explanation:
You multiply the 3 and the n together then add the 8 and it can't be more than 32 but it can be equal to 32
