These are the steps, with their explanations and conclusions:
1) Draw two triangles: ΔRSP and ΔQSP.
2) Since PS is perpendicular to the segment RQ, ∠ RSP and ∠ QSP are equal to 90° (congruent).
3) Since S is the midpoint of the segment RQ, the two segments RS and SQ are congruent.
4) The segment SP is common to both ΔRSP and Δ QSP.
5) You have shown that the two triangles have two pair of equal sides and their angles included also equal, which is the postulate SAS: triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
Then, now you conclude that, since the two triangles are congruent, every pair of corresponding sides are congruent, and so the segments RP and PQ are congruent, which means that the distance from P to R is the same distance from P to Q, i.e. P is equidistant from points R and Q
It's 12 because if you divide 6 by 0.5 you should get 12, so basically use the opposite operation.
Hope that helps!
If you're looking for a fraction:
Think of it this way, the 9 is in the 10th place. The 6 is in front of the decimal. So, it's 69/10. The 10 takes the place of the 9, the "/" is the decimal moved to the right one space.
Or
If you're looking for a mixed number:
You basically split the above fraction "69/10" up into two separate pieces. So, it's
6 9/10.
Answer:
The period is 360° ( in radians, the period is 2π)
Step-by-step explanation:
For a sine/cosine (sinusoidal) function in the form
y = ASin(Bx-C) + D, we can say
A is the amplitude
360/B is the period
C is the phase shift
D is the vertical translation
<em>The function given is y = 2Sinx</em>
To find the period, we need 360/B. Since "B" is just "1", the period is
360/1 = 360
Answer:
0.85c
Step-by-step explanation:
To simplify the expression, subtract like terms:
c - 0.15c
= 0.85c
So, the simplified expression is 0.85c
