Answer:
-2<x<3
or x∈(-2,3)
Step-by-step explanation:
x²-5x<-6
add (-5/2)² i.e.,25/4
x²-5x+25/4<-6+25/4
(x-5/2)²<(-24+25)/4
(x-5/2)²<1/4
(x-5/2)²<(1/2)²
|x-5/2|<1/2
-1/2<x-5/2<1/2
Add 5/2
-1/2+5/2<x-5/2+5/2<1/2+5/2
-2<x<3
The surface area of the prism will be given by:
SA=(surface area of triangles)+(surface area of rectangles)
surface area of triangles=2(1/2*3*4)=12 sq. units
area rectangles
the length of the hypotenuse will be:
c²=a²+b²
c=√(3²+4²)
c=√25
c=5
area=(3*5)+(4*5)+(5*5)=60
Total area=60+12=72 sq. units
Answer: 72 sq. units
A rectangle is a quadrilateral- Always True
A square is a rectangle- Always True
A rhombus is a rectangle- Sometimes True
A square is a rhombus- Always true
A parallelogram is a rhombus- Sometimes true
A rhombus is a square- Sometimes true
A rectangle is a square- Sometimes true
A rectangle is a parallelogram- Always true
A bi-millennium means two (bi) times thousand of years (millenium), this means that a bi millennium has 2000 years in it: two thousand years.
The origin of this word is latin: because of this it also has the plural of "bimillennia" <span />
P=paul's height
s=steve's height
t=theresa's height
p=s
1 and 1/2=3/2
1 and 1/3=4/3
p=-16+(3/2)t
s=-6+(4/3)t
p=s so
-16+(3/2)t=-6+(4/3)t
add 6 to both sides
-10+(3/2)t=(4/3)t
times both sides by 6 to clear fractions
-60+9t=8t
minus 9t both sides
-60=-t
times -1
60=t
t=60
theresa is 60 inches or 5ft
steve and paul are 84 inches or 7ft (wow!)