Answer:
x = ±
Step-by-step explanation:
We have been given the quadratic equation;

The first step is to subtract 50 from both sides of the equation;


Multiplying both sides by -1 yields;

The final step is to obtain square roots on both sides;

Therefore, x = ±
Answer:
====================
Total number of outcomes is 16, count of all outcomes.
Number of outcomes with 3 or more tiles is 5:
- HTTT, THTT, TTHT, TTTH, TTTT
The probability is:
- P = favorable outcomes / total outcomes
- P(at least 3 tails) = 5/16 = 0.3125
Correct choice is D.
Please consider the attached image for complete question.
We have been given that measure of arc WY is 76° and and measure of arc XZ is 112°. We are asked to find the difference of of the measures of angle WPY and angle XPY.
First of all we will find the measure of angle WPY using intersecting secants theorem. Intersecting secants theorem states that measure of angle formed by two intersecting secants inside a circle is half the sum of intercepting arcs.




We can see that angle WPY and angle XPY are linear angles, so they will add up-to 180 degrees.




Now we need to find difference of both angles as:


Therefore, the difference of the measures of angle WPY and angle XPY is 8 degrees.
Answer:
A. f(x) = 6x + 9
Step-by-step explanation:
The given equation is:
y - 6x - 9 = 0
We have to write this equation in function notation with x as the independent variable. This means that y will be replaced by f(x) and all other terms will be carried to the other side of the equation to get the desired function notation.
y - 6x - 9 = 0
y = 6x + 9
f(x) = 6x + 9
Therefore, option A gives the correct answer.
Multiplications that give 35
7*5