Answer:
-4(-7/30)-3/5=1/3
4(-1/15)+3/5=1/3
Step-by-step explanation:
1. -4x-3/5=1/3
-4x=1/3+3/5
-4x=14/15 <- divide both sides
x= -7/30
2. 4x+3/5=1/3
4x=1/3-3/5
4x= -4/15 <-divide both sides
x= -1/15
Problem 11
Answer: Angle C and angle F
Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.
============================================
Problem 12
Answer: 100 degrees
Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.
============================================
Problem 13
Answer: 80 degrees
Explanation: This was mentioned earlier in problem 11.
============================================
Problem 14
Answers: complement = 50, supplement = 140
Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.
Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:
And an odd function has the following property:
So, let's test some values for cos(x).
Let's use π/3:
From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:
And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!
Answer:
nonlinear
Step-by-step explanation:
Answer:
-6x+12
-9+5a
7x+63
8y-4/5x-12
Step-by-step explanation:
To solve these all you have to do is take the number outside of the parenthesis and multiply them by each term.
-3(2x)-3(-4) All I did here was expand the problem to show what i mean by terms.
-6x+12
Do this for each problem.
0.1(-90)+0.1(50a)
-9+5a
-7(-x)-7(-9) For this one you are taking negatives times negatives so each answer will be positive.
7x+63
4/5(10y)+4/5(-x)+4/5(-15)
8y-4/5x-12
