Answer:
5 9/14
7 1/2
Step-by-step explanation:
a) 4 1/7 + 1 1/2= 4+ 1/7 +1 +1/2 = 5 + 1/7 +1/2 = 5+ 2/14 + 7/14= 5 + 9/14= 5 9/14
b) 4 1/2 ÷ 3/5 = 9/2 ÷ 3/5 = 9/2 *5/3= 3/2*5= 15/2= 7 1/2
Answer:
None
Step-by-step explanation:
Given

Required
Point 2 units from m
There are 4 possible points 2 units from m and they are:




From the graph, we have:



None of the points is 2 units from m
Answer:
seven
Step-by-step explanation:
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Answer:
(
, 8 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10x - 2 ← is in slope- intercept form
with slope m = 10
Parallel lines have equal slopes
then the tangent to the parabola with a slope of 10 is required.
the slope of the tangent at any point on the parabola is 
differentiate each term using the power rule
(a
) = na
, then
= 6x + 2
equating this to 10 gives
6x + 2 = 10 ( subtract 2 from both sides )
6x = 8 ( divide both sides by 6 )
x =
= 
substitute this value into the equation of the parabola for corresponding y- coordinate.
y = 3(
)² + 2
= (3 ×
) + 2
=
+ 
= 
= 8
the point on the parabola with tangent parallel to y = 10x - 2 is (
, 8 )
Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)
Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:
S=90
0
+90
0
+(n−2)144
0
.........(2)
Therefore setting (2) equal to (1) we get
(n−2)180
0
=90
0
+90
0
+(n−2)144
0
⇒(n−2)180
0
−(n−2)144
0
=180
0
⇒(n−2)(180
0
−144
0
)=180
0
⇒(n−2)(36
0
)=180
0
⇒n−2=
36
180
⇒n−2=5
⇒n=5+2=7
Hence, the polygon has 7 sides.