<h2><em>y
2
+
6
y
−
16
=
(
y
+
8
)
(
y
−
2
)
</em></h2><h2 /><h2><em>Explanation:
</em></h2><h2><em>Note that in general:
</em></h2><h2 /><h2><em>(
y
+
a
)
(y
−
b
)
=
y
2
+
(
a
−
b
)
y
−
a
b
</em></h2><h2 /><h2><em>So we want to find a pair of factors a and b of 16 which differ by 6
. </em></h2><h2><em>The pair 8
,
2 works in that 8−
2
=
6 and 8
⋅
2=
16
.
</em></h2><h2 /><h2><em>Hence:
</em></h2><h2><em>
y
2
+
6
y
−
16
=
(
y+
8
)
(
y
−
2
)</em></h2><h2><em>y=2,-8</em></h2>
Answer:
3bat + 3b² - 6a²t²
Step-by-step explanation:
First you have to expand it to get;
3b(b - at) + 6at(b - at)
Then you can now multiply.
3b² - 3bat + 6bat - 6at²
Group like terms
6bat - 3bat + 3b² -6at²
3bat + 3b² - 6a²t²
Answer:
The area of the garden is 
Step-by-step explanation:
<u>Area of a Square</u>
Given a square of a side length of x, the area is calculated as:

There is a square garden area of a side length of x=50 feet. The area is:

Inside of it, there is another square area for a fountain display of a side length of 12 feet. The area is:

The area of the garden is the difference between A2 and A1:


Answer:
<h2>x = 6 cm</h2>
Step-by-step explanation:
think we hve to use trigonometry here
sin 30⁰
see the pic
sorry I am from India and we solve this type of sum with this method
Answer:
C) Addition property of equality and division property of equality
Step-by-step explanation:
To find the answer, let's first solve the equation for x...
3x-6=12
Add 6 to both sides (Addition property of equality)
3x=6
Divide both sides by 3 (Division property of equality)
x=2
We used both the addition property of equality and the division property of equality therefore the answer is C