Answer:
y=-6
Step-by-step explanation:
3y+7=-11
3y=-11-7
3y=-18
y=-18/3
y=-6
Answer:
56.25 cm
Step-by-step explanation:
your teacher wrote the approach already : the law of sines.
in our example we have
sin(28)/27 = sin(102)/c
c×sin(28)/27 = sin(102)
c×sin(28) = 27×sin(102)
c = 27×sin(102)/sin(28) = 27×0.98/0.47 = 56.25 cm
Answer:
1) 1/2
2) 3
3)-5
Step-by-step explanation:
to find slope: divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. so here on 1) you do (3-2)/(2-0)= 1/2.
2) (7-1)/(-1- (-3))= 6/2=3.
3) (-15-0)/(7-4)= -15/3=-5
Answer:
The sum of the geometric series is 1048575
Step-by-step explanation:
![S_n=\frac{a_1(r^n-1)}{r-1}\\ \\S_{10}=\frac{3(4^{10}-1)}{4-1}\\ \\S_{10}=\frac{3(1048576-1)}{3}\\ \\S_{10}=1048575](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba_1%28r%5En-1%29%7D%7Br-1%7D%5C%5C%20%5C%5CS_%7B10%7D%3D%5Cfrac%7B3%284%5E%7B10%7D-1%29%7D%7B4-1%7D%5C%5C%20%5C%5CS_%7B10%7D%3D%5Cfrac%7B3%281048576-1%29%7D%7B3%7D%5C%5C%20%5C%5CS_%7B10%7D%3D1048575)
Using Pythagoras theorem, we have
AC^2=AB^2+BC^2
(9)^2=AB^2+(7)^2
81=AB^2+49
81-49=AB^2
32=AB^2
√32=AB