9514 1404 393
Answer:
see attached
Step-by-step explanation:
The filling in of the formula for the n-th term is pretty straightforward. The attachment shows how simple it is.
The 7th term is found by evaluating the expression for n=7.
a₇ = 192
- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
- Slope Formula:

So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:

Next, plug either one of the points into the x and y coordinates to solve for b as such:

<u>Our final equation is
, or the third option.</u>
Answer:
15°
Step-by-step explanation:
Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)
The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.
Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°. Angle PQC has the same measure as angle RQC, so is 15°.
Angle PQC is 15°.
1. false because they have the same slope and y-intercept so they have infinite number of solutions
2. true
Dress: 93$ at 100-25%=75%
-> divide the marked down cost by the percentage to get the cost of a single percent and then multiply it with the markdown again to get the saved cost
93/75*25=93/3*1=31*1=31$
shoes 119$ at 100-15%=85%
119/85*15=119/17*3=7*3=21
add both savings together for the full sum: 31+21=52$