Answer:
9.76
Step-by-step explanation:
area of a rectangle = length * breadth
length = (2x + 3)
breadth = x
given area is 220 sq. inches.
thus,
220 = x * (2x+3)
220 = 2x² +3x
2x² + 3x -220 = 0
x = (-b + √ ( b²-4ac) ) ÷ 2a
x = ( -3 + √ ( 3² - 4*2*220) ) ÷ 2*2
x =9.76
Answer:
y
=
3
2
x
+
1
Explanation:
To find the slope
(
m
)
of the straight line that passes through two points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
apply:
(
y
1
−
y
2
)
=
m
(
x
1
−
x
2
)
In this example our two points are
(
0
,
1
)
and
(
2
,
4
)
Hence:
(
1
−
4
)
=
m
(
0
−
2
)
−
3
=
−
2
m
→
m
=
3
2
The equation of a straight line in slope
(
m
)
and intercept
(
c
)
form is:
y
=
m
x
+
c
In this example:
y
=
3
2
x
+
c
Since the point
(
0
,
1
)
is on this line
→
1
=
0
+
c
Hence,
c
=
1
∴
y
=
3
2
x
+
1
is our required straight line.
Step-by-step explanation:
77 - 2 = 75
75 ÷ 5 = 15
The number is 15.
Hope this helped!
Answer:
5400
Step-by-step explanation:
Hundreds are like 100, 200 etc.
So we round the values 16 to the nearest hundredth. And 16 is much closer to 0 then to 100.
So we take off the 16, and we get 5400.
Answer:
? = 14
Step-by-step explanation:
If ∆EFG ~ ∆CBA, we have the proportion
FG/FE = BA/BC . . . . . any pairs of corresponding sides will have the same ratio for similar triangles. (It is convenient to put the unknown in the numerator.)
?/18 = 21/27 . . . . . . filling in the given numbers
Multiplying by 18, we have ...
? = 18·21/27
? = 14
_____
If the triangles are not designated as being similar, the problem is unworkable.
