Explanation: 3 x 2 + 10 x + 3 We can Split the Middle Term of this expression to factorise it. In this technique, if we have to factorise an expression like a x 2 + b x + c , we need to think of 2 numbers such that: N 1 ⋅ N 2 = a ⋅ c = 3 ⋅ 3 = 9 and, N 1 + N 2 = b = 10 After trying out a few numbers we get: N 1 = 9 and N 2 = 1 9 ⋅ 1 = 9 , and 9 + ( 1 ) = 10 3 x 2 + 10 x + 3 = 3 x 2 + 9 x + 1 x + 3 = 3 x ( x + 3 ) + 1 ( x + 3 ) ( 3 x + 1 ) ( x + 3 ) is the factorised form for the expression.
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
3
⋅
3
=
9
and,
N
1
+
N
2
=
b
=
10
After trying out a few numbers we get:
N
1
=
9
and
N
2
=
1
9
⋅
1
=
9
, and
9
+
(
1
)
=
10
3
x
2
+
10
x
+
3
=
3
x
2
+
9
x
+
1
x
+
3
=
3
x
(
x
+
3
)
+
1
(
x
+
3
)
(
3
x
+
1
)
(
x
+
3
)
is the factorised form for the expression.
Answer:
Perimeter = 36.8 ft
Step-by-step explanation:
<u>Step 1: Add the straight sides together</u>
3+3+3+3+3+3 = 18 ft
<u>Step 2: Find the perimeter of the semi-circles</u>
The formula for the perimeter of semi-circle: 1/2 π × d
Diameter = 12 - 3 - 3 = 6, because the whole length is 12 minus the 6 ft of other stuff.
Now, 1/2π * 6 = 9.4 ft
But, there are two semi-circles so it will be 9.4 + 9.4 = 18.8 ft
<u>Step 3: Add all of them</u>
18 + 18.8 = 36.8 ft
Answer:
Step-by-step explanation:
Asymptotes 3
g(x) = 
Factors of denominator will be,
x² - 3x - 10 = x² - 5x + 2x - 10
= x(x - 5) + 2(x - 5)
= (x + 2)(x - 5)
Therefore, factored form of g(x) will be,
g(x) = 
Asymptotes 4
h(x) = 
= 
= 
= 
<span>4: 80*5*4 </span>
<span>= 1600 diff ice creams flavors. yum.
</span>
