Step-by-step explanation:
<u>Answer(1):</u>
Law of Cosines.
<u>Answer(2):</u>
since side "c" is missing so we will write formula used for side "c"

<u>Answer(3):</u>
First lets write both sine and cosine formulas:
Check the attached picture for the list of formulas:
From given picture we see that two angles A and B are missing. Also 1 side "c" is missing.
Sine formula uses two angles while cosine formula uses only one angles.
Hence cosine formula will be best choice to find the missing values.
Answer: . Rotation about the y-axis by π
Step-by-step explanation:
Answer: m=−3
Step-by-step explanation: −40−2(3m+1/2)=7m−2
−40+(−2)(3m)+(−2)(1/2)=7m+−2
−40+−6m+−1=7m+−2
(−6m)+(−40+−1)=7m−2
−6m+−41=7m−2
−6m−41−7m=7m−2−7m
−13m−41+41=−2+41
−13m/−13=39/−13
m=−3
What mistake I guess Keith did make is he subtracted 2 from -39 which equaled to -37 which caused him divide -37 by 13 when it should have been 39 divided by 13 because he should have left 39 alone and not have subtracted 2 from it also it should not have been negative basically what I'm trying to say is that he did his division and subtraction wrong.
Answer:
(arranged from top to bottom)
System #3, where x=6
System #1, where x=4
System #7, where x=3
System #5, where x=2
System #2, where x=1
Step-by-step explanation:
System #1: x=4

To solve, start by isolating your first equation for y.

Now, plug this value of y into your second equation.

System #2: x=1

Isolate your second equation for y.

Plug this value of y into your first equation.

System #3: x=6

Isolate your first equation for y.

Plug this value of y into your second equation.

System #4: all real numbers (not included in your diagram)

Plug your value of y into your second equation.

<em>all real numbers are solutions</em>
System #5: x=2

Isolate your second equation for y.

Plug in your value of y to your first equation.

System #6: no solution (not included in your diagram)

Isolate your first equation for y.

Plug your value of y into your second equation.

<em>no solution</em>
System #7: x=3

Plug your value of y into your second equation.

Answer:
100+x
Step-by-step explanation:
Peter starts out with 100 dollars and then gets X more meaning we have to add X to what he originally had and that looks like this 100+x
I hope this helps and please don't hesitate to ask if there is anything still unclear!