Answer: (3a + 1) (a + 3)
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the idea of factorization.
It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.
<u>Solve:</u>
Given = 3a² + 10a + 3
<em>STEP ONE: separate 3a² into two terms</em>
3a
a
<em>STEP TWO: separate 3 into two terms</em>
3
1
<em>STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.</em>
3a 1
a 3
When cross multiply, 3a × 3 + 1 × a = 10a
<em>STEP FOUR: combine the expression horizontally to get the final factorized expression.</em>
3a ⇒ 1
a ⇒ 3
(3a + 1) (a + 3)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
48
Step-by-step explanation:
The sum of angles of a triangle is 180
<V + <P + <M = 180
47+85+x = 180
132 +x = 180
Subtract 132 from each side
132-132+x = 180-132
x =48
Apply Pythagoras:
length = sqrt( (10--4)² + (6-3)² ) = sqrt(205)
Answer:
Option C
Step-by-step explanation:
2 pentagons and 5 rectangles are needed to build this pentagonal prism!
