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Basile [38]
3 years ago
11

Using the Distributive Property to factorize the equation 3x2 + 24x = 0, you get . The solution of the equation is

Mathematics
2 answers:
coldgirl [10]3 years ago
7 0
3x(x+8)=0
x=0,-8
This is how to solve for x. Comment if you need something else. 
kow [346]3 years ago
5 0

Answer:

The solution to the given equations are x=0,-8

Step-by-step explanation:

We have been given the equation 3x^2+24x=0 and we have to find the solution of this equation.

Using the distributive property which is ab+ac=a(b+c), we have

 3x^2+24x=0\\3x\cdot x+3\cdot8\cdot x=0\\3x(x+8)=0

Now, using the zero-product property, we have

3x=0,x+8=0\\x=0,-8

Therefore, the solution to the given equations are x=0,-8

You might be interested in
How would the expression x-9 be rewritten using Difference of Squares?
yaroslaw [1]

Answer:

Step-by-step explanation:

(x+3)(x-3)

x squared and -9 are both square numbers.

the square root of x^2 is x

the square root of -9 is 3. so you just need to write (x+3)(x-3)

you can check by expanding the brackets and the middle x terms should cancel out

4 0
3 years ago
One of the smallest pools on the ship has about 45,000 gallons of water in it.
gtnhenbr [62]

Amount of water in the pool at the end of the day is 5457798.7 gallons

<u>Explanation:</u>

Given:

Initial amount of water in the pool = 45,000 gallons

Increase in amount = 0.75 in per minute

Time, t = 1 day

t = 24 X 60 min

t = 1440 min

So,

Increase in amount of water in 1 day = 0.75 in X 1440

                                                             = 1080 in

Volume of 1080 in of water = (1080 in)³

Volume from cubic inch to gallon = 5453298.7 gallon

Amount of water in the pool at the end of the day = 45000 + 5453298.7 gallon

                                                                                   = 5457798.7 gallon                                          

5 0
3 years ago
The measure of ∠BAC is π/3 radians and the measure of ∠CAD is π/2 radians. What is the measure of ∠BAD?
GREYUIT [131]

9514 1404 393

Answer:

  5π/6 radians

Step-by-step explanation:

The whole is the sum of the parts.

  ∠BAD = ∠BAC +∠CAD

  ∠BAD = π/3 + π/2 = π(2/6 + 3/6)

  ∠BAD = 5π/6

6 0
3 years ago
What is the surface area of the right rectangular prism?
allsm [11]
7sqrt = 49 since the base is a square.
49 x 2 = 98 - since there's 2 of those identical squares.
7 x 5 = 35 - area of the rectangular face.
35 x 4 = 140 - since there's 4 of those faces.

140 added by 98 is 238.

So answer is B.
4 0
3 years ago
HELP PLEASE and show work
larisa86 [58]

Answer:

\boxed{\stackrel{\Large\frown}{PQS}\:= 222°}

Explanation:

Since \overline{PR} is a diameter, arc \stackrel{\Large\frown}{PQR}\:= 180°.

Given that \angle{SUR} = 42° is a subtended central angle by two diameters,

\stackrel{\large\frown}{RS} \:= 42°.

Using the rule of arcs, \stackrel{\Large\frown}{PQR} + \stackrel{\large\frown}{RS} \: = \: \stackrel{\Large\frown}{PQS} →

180° + \: 42° = \: \stackrel{\Large\frown}{PQS}

222° = \: \stackrel{\Large\frown}{PQS}

\stackrel{\Large\frown}{PQS} \: = \: 222°

3 0
3 years ago
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