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MArishka [77]
3 years ago
10

Factor each expression. Problem: 2p^3 + 6p^2 + 3p + 9 Answer: (p + 3) (2p2 + 3)

Mathematics
1 answer:
oee [108]3 years ago
4 0
Factor by grouping
2p^3 + 6p^2 + 3p + 9
2 p^3+6 p^2+3 p+9=\left(2 p^3+6 p^2\right)+(3 p+9)=\left(2 p^2\right) (p+3)+3 (p+3)
2 p^2 (p+3)+3 (p+3)
(p+3) \left(2 p^2+3\right)
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A, B and C are collinear points. B is between A and C. AB=12 BC=18 AC=3x Find X.
SCORPION-xisa [38]

Answer:

x =10

Step-by-step explanation:

Given

AB = 12

BC = 18

AC = 3x

Required

Solve for x

Since B is in between both points, then:

AC = AB + BC

This gives

3x = 12 + 18

3x = 30

Divide by 3

x =10

3 0
3 years ago
What is the value of x?
Phantasy [73]

Answer:

value of x = 5.8 mm

Step-by-step explanation:

We have given,

Two right triangles EDH and EDG.

In right triangle EDH, EH = 56mm , DH = 35 mm

Using Pythagoras theorem we can find ED.

i.e EH² = ED²+DH²

56²=ED²+35²

ED²=56²-35²

ED = √(56²-35²) = 7√39 = 43.71 mm

Now, Consider right triangle EDG

Here, EG=44.8mm , GD = x+4  and ED = 7√39

Again using Pythagoras theorem,

EG² = ED² + DG²

44.8²= (7√39)²+ (x+4)²

(x+4)² = 44.8² - (7√39)²

x+4 = √(44.8² - (7√39)²)

x+4 = 9.8

or x = 9.8 - 4 = 5.8 mm

Hence we got the value of x = 5.8 mm

6 0
3 years ago
Why is 8(s-3) considered a single term when (s-3) is the difference of two terms?
jok3333 [9.3K]
When you have 8(s-3) you are find a product of 8 times whatever s-3 is however s-3 you are find the difference between whatever s is and 3.
4 0
3 years ago
A triangle has one side that is 6 units long and another side that is 3 units long.
kiruha [24]

The possible value of the third length is an illustration of Triangle inequality theorem

The possible third lengths are 4 units and 6 units

<h3>How to determine the possible length of the third side?</h3>

To determine the third length, we make use of the following Triangle inequality theorem.

a + b > c

Let the third side be x.

So, we have:

x + 6 > 3

x + 3 > 6

3 + 6 > x

Solve the inequalities

x > -3

x > 3

x < 9

Remove the negative inequality value.

So, we have:

x > 3 or x < 9

Rewrite as:

3 < x or x < 9

Combine the inequality

3 < x < 9

This means that the possible value of the third length is between 3 and 9 (exclusive)

Hence, the possible third lengths are 4 units and 6 units

Read more about Triangle inequality theorem at:

brainly.com/question/2403556

5 0
2 years ago
You invest 1000 in an account at 2.5% per year simple interest how much will you have in the account at the beginning of the 4th
vodka [1.7K]
You will have gain $25 each year so after 4 years you will have $1100
7 0
3 years ago
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