7+3x≤8(3+x) perform indicated multiplication on right side
7+3x≤24+8x subtract 8x from both sides
7-5x≤24 subtract 7 from both sides
-5x≤17 divide both sides by -5 (and reverse direction of inequality sign because of multiplication/division by a negative value)
x≥-17/5
x≥ -3.4
The answer should be according to (8 yards 2 ft 9 inches) + (2 ft 5 inches) = 9.7 yards
Answer:
y-2= - 1/11 (x-3)
Step-by-step explanation:
The slope is m=y2-y1/x2-x1=3-2/-8-3=1/-11=-1/11
Equation of a line is
y-y1=m(x-x1)
y-2= - 1/11 (x-3)
9514 1404 393
Answer:
ΔLMN ~ ΔLFG; scale factor 7/3
Step-by-step explanation:
The ratios of side lengths, shortest to longest are ...
FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)
MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)
The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...
MN/FG = 56/24 = 7/3
Answer:
The series Diverges ; The series is a constant multiple of harmonic series
Step-by-step explanation:
The series :
1/5 + 1/10 + 1/15 + 1/20 + 1/25
The series can be expressed as :
a1 = 1 / 5*1
a2 = 1 / 5*2
a3 = 1 / 5*3
a4 = 1 / 5*4
a5 = 1 / 5*5
hence we can write a
as ; a
attached below is the remaining part of the solution