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andriy [413]
1 year ago
8

Factor to the given polynomial completely. 4x³+24x²-288x

Mathematics
2 answers:
STatiana [176]1 year ago
3 0

Answer: \Large\boxed{4x(x+12)(x-6)}

Step-by-step explanation:

<u>Given expression</u>

4x³ + 24x² - 288x

<u>Factorize 4x out from the expression</u>

4x · x² + 4x · 6x - 4x · 72

4x (x² + 6x - 72)

<u>Cross multiply to factorize the remaining polynomial expression</u>

<em>The meaning is to allow the factored product of the constant to add up to the first-degree term</em>

x             12

x             -6

<u>Combine the result</u>

\Large\boxed{4x(x+12)(x-6)}

Hope this helps!! :)

Please let me know if you have any questions

arlik [135]1 year ago
3 0

Answer:

4x(x + 6)(x - 12).

Step-by-step explanation:

First take out 4x which is the GCF of the 3 terms:

= 4x (x^2 - 6x - 72)

We need 2 numbers whose product is -72 and whose sum is -6.

They are  -12 and + 6 so we have:

4x(x + 6)(x - 12)

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Write an equation of a line through the given points (5,0);(7,6)
KATRIN_1 [288]
Y - y1 = m( x - x1); where m = (y2 - y1)/(x2 - x1);
We have m =  (6-0)/(7-5) = 6 / 2 = 3 ;
The equation of the line is: y - 0 = 3(x-5);
Finally: y = 3x - 15.
4 0
3 years ago
I don't understand plz help​
Rasek [7]

Answer:

The equation that represent x, the height of the sign is;

2a = 3x

Step-by-step explanation:

Given that the area of the triangular yield is A square feet

and it has a base length of 3 feet.

also the height is represented by x;

b = 3ft \\ h = x

Recall that the area of a triangle can be written as;

a =  \frac{1}{2} bh

substituting the given;

a =  \frac{1}{2}  \times 3 \times x \\   a =  \frac{3}{2} x \\ 2a = 3x

Therefore, the equation that represent x, the height of the sign is;

2a = 3x

8 0
3 years ago
Read 2 more answers
Divide 6 feet 6 inches by 5
tigry1 [53]
6 ft 6 in....
1 ft = 12 inches, so 6 ft = (12 * 6) = 72 inches...+ the other 6 inches = 78 inches

78 / 5 = 15.6 inches


5 0
3 years ago
Is this right??? Please answer
lesya692 [45]

Answer:Yes its correct!(good job)

Step-by-step explanation:If you want to doubule check just count the tens carefully and if your still sketchy about it just cir cle the ones you counted hope this helped!

7 0
4 years ago
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Which pair of equations below is a result of constructing the altitude, h, in traingle ABC?
Korolek [52]

Answer:

sinA = h/c; sinC = h/a

Step-by-step explanation:

Which pair of equations below is a result of constructing the altitude, h, in Triangle ABC?

sinA= h/c

sinC= h/a

sinA= h/c

sinB= b/c

sinA= b/c

sinC= b/a

Solution:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.

In right triangle, trigonometric identities are used to show the relationship between the sides of a triangle and the angles.

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite / adjacent

Therefore in triangle ABC:

sinA = h/c;  sinC = h/a

4 0
3 years ago
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