Answer:
11) A
12) B
Step-by-step explanation:
11) 10x² + 1 = 0
Subtract 1 from both sides:
10x² = -1
Divide both sides by 10:
x² = -1/10
Take the square root of both sides:
x = ±√(-1) / √(10)
Remember that the square root of -1 is i:
x = ±i / √(10)
To rationalize the denominator, multiply top and bottom by √10.
x = ±i√(10) / 10
Answer is A.
12) 2v² + 8v + 6 = 0
Divide both sides by 2:
v² + 4v + 3 = 0
Use AC method or quadratic formula to factor:
(v + 1) (v + 3) = 0
Set each expression to 0:
v + 1 = 0 or v + 3 = 0
Solve:
v = -1 or v = -3
Answer is B.
Answer:
2x
Step-by-step explanation:
We can first pull the x out of every term:
Then, simplify:
So, the answer is 2x.
The answer is D) 72, 108
First you have to find out the measure of the two other angles in the triangle. Those two angles will be equivalent.
Because the sum of all three angles in a triangle is 180, you subtract 36 from it (180 - 36 = 144) then divide by 2 (144/2 = 72).
So, the two angles at the bottom of the triangle are each 72. Because those angles are supplementary to the angles at the top of the trapezoid, you subtract 72 from 180 (180 - 72 = 108).
108 + 108 = 216
The sum of all the angles in a trapezoid is 360, so subtract 216 from 360 (360 - 216 = 144) then divide by 2 (144/2 = 72)
Answer:
The experiment is identifying whether a student gets less than a 75% on the entrance exam.
The trial is one exam being taken.
An outcome is a student scoring 80%.
Step-by-step explanation:
An experiment occurs when an intervention is made by a researcher and its effect are studied, thus the experiment here is identifying whether a student gets less than a 75% on the entrance exam.
The trial is the one exam being taken.
While an outcome is the aftermath of the experiment which includes a student scoring 80%.
