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Xelga [282]
3 years ago
10

Pls can someone help me factorise this: a²+9a+8

Mathematics
1 answer:
aev [14]3 years ago
4 0

Answer:

(a + 8)(a + 1)

Step-by-step explanation:

We know that the first term is squared, so we can put it out like this:

a * a

The third term has to be separated so that the sum of the two factors is the coefficient of the second term, 9.

8 = 4 * 2 (does 4 +/- 2 = 9? nope, we can't use that)

8 = 8 * 1 (does 8+/- 1 = 9? yes, when 8 + 1)

So the factor is a + 8 and a + 1.

Put this together and (a+8)(a+1)

Download pdf
You might be interested in
Is 432 divisible by 9<br> I’m looking for the estimate 432 divided by 9
Monica [59]

Answer:

Yes (432 = 9 x48).

Step-by-step explanation:

The trick you need to know is the theorem that says that if the digits in a number add up to a multiple of 9, then the number itself is divisible by 9.

So we go 4+3+2 = 9.

So as this sum of 9 is divisible by 9, it means 432 is also divisible by 9.

If you want to work out the actual answer of 432 divided by 9, you can estimate it by doing 450 ÷ 9 = 50. Then see that 432 is 18 less than 450. And 18 = 2x9. So the answer to the division is 50-2 = 48.

5 0
3 years ago
There are 53 regular pencils in the box and some colored pencils in the box. There are a total of 84 pencils. How many colored p
vodka [1.7K]

Let be "x" the number of colored pencils in the box.

According to the information given in the exercise, there are 84 pencils in the box and 53 of them are regular pencils.

Knowing this information, you can set up the following equation:

x+53=84

Finally, you have to solve for the variable "x" in order to find its value. In order to do this, you can apply the Subtraction property of equality by subtracting 53 from both sides of the equation:

\begin{gathered} x+53-(53)=84-(53) \\ x=31 \end{gathered}

The answer is: There are 31 colored pencils in the box.

7 0
1 year ago
What is. Log3(x+2)-log3 5
kow [346]

Answer:

=0.477121x−0.589826

Step-by-step explanation:

5 0
3 years ago
Valentina has a tray where she keeps all of her important papers. the tray is in the shape of a rectangular prism with no top. a
mel-nik [20]

The volume of a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches is 300 cubic inches

<h3>Volume of a rectangular prism</h3>
  • Length= 12 inches
  • Width = 10 inches
  • Height = 2.5 inches

Volume of a rectangular prism = length × width × height

= (12 × 10 × 2.5) inches

= 300 inches

Learn more about volume of prism:

brainly.com/question/23963432

#SPJ4

4 0
2 years ago
PLZ HELP ASAP AREA OF A SECTOR
timama [110]
The relationship of arcs is:
 S '/ S = ((1/9) * pi * r) / (2 * pi * r)
 Rewriting we have:
 S '/ S = ((1/9)) / (2)
 S '/ S = 1/18
 Therefore, the area of the shaded region is:
 A '= (S' / S) * A
 Where A: area of the complete circle:
 Clearing we have:
 A = (A ') / (S' / S)
 Substituting:
 A = ((1/2) pi) / (1/18)
 A = ((18/2) pi)
 A = (9pi)
 Answer:
 The area of the circle is:
 
A = (9pi)
4 0
3 years ago
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