<h2>
Answer:</h2>
In this exercise we have the following pattern:
1, -12, 12, -1
So we need to find the rule for this patter. First of all, let's take the first number, which is 1:
1
To find the second number, which is -12, we must subtract 13, because:
1 - 13 = -12
To find the third number, which is 12, we must add 24, because:
-12 + 24 = 12
In conclusion, the correct answer is A.) subtract 13, then add 24
Answer:
They averaged 79 km per hour
Step-by-step explanation:
To find the average distance, take the kilometers and divide by the hours
1106 km/ 14 hours
79 km / hours
They averaged 79 km per hour
Answer:
Discriminant: -4
No real solutions
Step-by-step explanation:
You might remember this long, seemingly very hairy thing called the <em>quadratic formula</em> from earlier in algebra:
The <em>discriminant</em> of a quadratic equation of the form is that bit under the square root: . What does the discriminant tell us? Since we're taking its square root, we know that is only real for non-negative values of . If , we have two real roots, one for and one for . If , the function has a rational root, since the formula becomes
In your case, we have the equation ; here, , , and , so our discriminant is . Since we'd have a negative under our square root in the quadratic formula, we have <em>no real solutions</em>.
Angles B and D are supplementary angles, so if B's angle is 30 degrees, then D's angle at y would be 150, since they have to add to 180.
In short, angle y = 150