Answer:
-35
Step-by-step explanation:
- 4ac = (1)(1) - 4(-3)(3) = 1 - 36 = -35
Answer:
-19i + 26j
Step-by-step explanation:
-3 (5i - 6j) + 2 (-2i + 4j)
Distribute/multiply the -3 to everything in the parentheses
-15i + 18j + 2 (-2i + 4j)
Distribute/multiply the 2 to everything in the parentheses
-15i + 18j -4i + 8j
Combine like terms
-19i +26j
Answer:
Step-by-step explanation:
Let the number = x.
We are trying to find out what number (x) we would need to add to 7/12 to get 4/15

Subtract 7/12 from both sides.
We need to make the denominators of the fractions the same.


So,

<h3>
Answer:</h3>
25
<h3>
Step-by-step explanation:</h3>
The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.
Finding X
To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.
- Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.
Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.
By subtracting 115 from both sides we know that x = 65.
Solving for Y
Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.
- Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.
Lastly, we can create a formula to find y with the angle sum theory.
Combine like terms
Subtract 155 from both sides
This means that the angle y is 25 degrees.
Spinner diagram isn't attached. A related spinner diagram has been attached below to provide an hypothetical solution to the problem
Answer:
4 / 15
Step-by-step explanation:
For the numbered spinner :
P(landing on 2) = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3) = 3
Required outcome = (1) = 1
P(landing on 2) = 1 /3
Lettered spinner :
P(does not land on b)
Total possible outcomes = (A, B, C, D, E)
Required outcome = (a, c, d, e)
P(does not land on b) = 4 / 5
Hence,
P(lands on 2, does not land on b) in this scenario is :
1/3 * 4/5 = 4 / 15