Your answer is Y=-4 5
———
- -6, 6
Answer:
b) 24
Step-by-step explanation:
We solve building the Venn's diagram of these sets.
We have that n(S) is the number of succesful students in a classroom.
n(F) is the number of freshmen student in that classroom.
We have that:

In which n(s) are those who are succeful but not freshmen and
are those who are succesful and freshmen.
By the same logic, we also have that:

The union is:

In which



So



So the correct answer is:
b) 24
Answer:
B
Step-by-step explanation:
Answer:
First option and Fourth option.
Step-by-step explanation:
To solve this exercise you need to use the following Trigonometric Identity:

In this case you know that:

Since triangle ABC is similar to triangle DEF:

Let's begin with the triangle ABC.
You can identify that:

Then, substituing values, you get:

In triangle DEF, you know that:

So, substituing values, you get:

Answer:
x=1
Step-by-step explanation:
slope AB = (7-5) / (3 - -1) = 2 / 4 = 1/2
slope CD = (23-11) / (x-7) = 12 / (x-7)
12 / (x-7) = - 2 ... perpendicular to AB slope 1 = - 1/slope 2
-2 (x-7) = 12
-2x + 14 = 12
-2x = -2
x = 1