<u>Equation/Question:</u>
Solve for b. 3(b + -2)-8=-5 what is the answer?
<u>Answer/Steps to answer:</u>
1.Simplify b+-2 to b−2.
3(b−2)−8=−5
2. Add 8 to both sides.
3(b-2)=-5+8
3. Simplify -5+8 to 3.
3(b-2)=3
4. Divide both sides by 3.
b-2=1
5. Add 2 to both sides.
b=1+2
6. Simplify 1+2 to 3.
b=3
Done by <u>NeighborhoodDealer</u>
is in quadrant I, so .
is in quadrant II, so .
Recall that for any angle ,
Then with the conditions determined above, we get
and
Now recall the compound angle formulas:
as well as the definition of tangent:
Then
1.
2.
3.
4.
5.
6.
7. A bit more work required here. Recall the half-angle identities:
Because is in quadrant II, we know that is in quadrant I. Specifically, we know , so . In this quadrant, we have , so
8.
1) Which ratio is equivalent to [tex] \frac{4}{16} [tex]?
[tex] \frac{4}{16} * 2 = \frac{8}{32} [tex], or
8:32.
2) Write the ratio as a unit rate [tex] ( \frac{286miles}{5 \frac{1}{2} hours} ) [tex]
Set the equation up like this:
[tex] \frac{286miles}{5 \frac{1}{2} hours} = \frac{Xmiles}{1 hour}\\
286*1=(5 \frac{1}{2})*x\\
286 = \frac{11x}{2}\\
11x= 572 [tex]
x =
52 [tex] \frac{miles}{hour} [tex]
3) Which typing time is fastest? I answered this earlier, refer to it please refer to it:
brainly.com/question/2560190
= 16 * 10^13
which in scientific notation is 1.6 * 10^14