Answer:
Step-by-step explanation:
Use the slope formula
(x2-x1)/(y2/y1)
substitute the values
(1-10)/(9-7)
solve
-9/-2
simplify
9/2 or 4.5
42 degrees. Comment down if you need the explanation why
OM=18, so OQ=QM=18/2=9.
Given QU=8
from figure OQU is a right angled triangle , so OU^2=OQ^2 + QU^2
OU^2 = 9*9 + 8*8 = 81+72=153;
OU=sqrt(153) = 12.37 =13(approx);
From given statements of congruent NT and OU will also be congruent or identical. So, NT=OU=13
We have the following remark
-81/-54= -54/-36 = -36/ -24=...= 1.5
the sequence is geometric sequence
the common ratio of the sequence is 1.5
the sum of the five terms of the sequence is
S5= a[1- (1.5)^5 / 1-1.5], a first term,
S5= -42*6.5= - 276
Y=2x+6
gradient is found from the formula,
y intercept is found by subbing the values of (-1,4) into the equation y=2x+c
