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Andrew [12]
3 years ago
10

Factor completely: x∧2 + 10x + 24

Mathematics
2 answers:
Anna [14]3 years ago
7 0

Answer:

{x}^{2}  + 10x + 24 \\  {x}^{2}  + 6x + 4x + 24 \\ x(x + 6) + 4(x + 6) \\  = (x + 4)(x + 6)

Masteriza [31]3 years ago
3 0

Step-by-step explanation:

{x}^{2}   + 10x + 24 = 0

=  >  {x}^{2}  + 6x + 4x + 24 = 0

=  > x(x + 6) + 4(x + 6) = 0

=  > (x + 6)(x + 4) = 0

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How much money is in Joe's savings account after 3 years if he deposited $400 at the beginning of the year and the account pays
yan [13]

Answer:

Total amount in Joe's savings account T = $448

Step-by-step explanation:

Given;

time t = 3 years

Annual rate r = 4%

Principal P = $400

Simple interest can be expressed as;

I = Prt/100

Substituting the given values;

I =400×4×3/100 = 4800/100

I = $48

Total amount in account T;

T = P + I = $400 + $48 = $448

7 0
3 years ago
Read 2 more answers
I need help!! This is getting a little harder than I expected
MAXImum [283]

Length of the side = 9 cm

Diagonal = 9\sqrt{2} cm

Solution:

Area of the square = 81 square centimeters

In square all sides are equal.

Area of the square = side × side

Side × side = 81

Side² = 9²    (∵81 = 9²)

Taking square root on both sides, we get

Side = 9 cm

Length of the side = 9 cm

To find the length of the diagonal:

In square all the angles are right angle.

Diagonal splits the square into two right angle triangle.

Using Pythagoras theorem,

<em>In right triangle, square of the hypotenuse is equal to the sum of the square of the other two sides.</em>

Here, diagonal is the hypotenuse.

\text{Diagonal}^2=9^2+9^2

\text{Diagonal}^2=81+81

\text{Diagonal}^2=2\times 81

Taking square root on both side,

Diagonal = 9\sqrt{2} cm

6 0
3 years ago
The area of a swimming pool is 120 sq meters. The width of the pool is 8 meters. what is the length of the pool in centimeters ?
Genrish500 [490]
120/8 = 15m
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The price before tax is $15.52
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3 years ago
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natali 33 [55]

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Step-by-step explanation:

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