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jeka94
3 years ago
8

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Find the GCF of the given polynomial. 16a^4b^4 + 32a^3b^5 - 48a^2b^6
Mathematics
1 answer:
hodyreva [135]3 years ago
7 0

Answer:

16a^2b^4

Step-by-step explanation:

<u>GCF= Greatest Common Factor</u>

Given a polynomial, the GCF is the largest polynomial that will divide evenly into that polynomial.

The polynomial is

16a^4b^4 + 32a^3b^5 - 48a^2b^6

First, we find the GCF of the coefficients:

16, 32, 48

Since 32 and 48 are multiples of 16, 16 is the GCF of the coefficients.

Now we select all the repeating variables with their smallest exponent:

a^4, a^3, a^2.\ GCF= a^2

b^4, b^5, b^6.\ GCF=b^4

The GCF of the polynomial is

\boxed{16a^2b^4}

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A triangle has height 5 cm and base length 8 cm find it’s area
vodka [1.7K]

Answer:

A = 20 cm^2

Step-by-step explanation:

We can find the area of a triangle from

A = 1/2 bh

A = 1/2 8*5

A = 20 cm^2

4 0
3 years ago
What is X and A??? The have to equal the same thing, but one is multiplying and one is adding (picture)
Aleksandr-060686 [28]
X*a = 244  is equation (1)
x+a = 2    is equation (2)

Solve equation (2) for 'a' to get
x+a = 2
a = 2-x
Call this equation (3)

We will plug equation (3) into equation (1)
x*a = 244
x*(a) = 244
x*(2-x) = 244
Notice how the 'a' is replaced with an expression in terms of x

Let's solve for x
x*(2-x) = 244
2x-x^2 = 244
x^2-2x+244 = 0

If we use the discriminant formula, d = b^2 - 4ac, then we find that...
d = b^2 - 4ac
d = (-2)^2 - 4*1*244
d = -972
indicating that there are no real number solutions to the equation x^2-2x+244 = 0

So this means that 'x' and 'a' in those two original equations are non real numbers. If you haven't learned about complex numbers yet, then the answer is simply "no solution". At this point you would stop here. 

If you have learned about complex numbers, then the solution set is approximately 
{x = 1 + 15.588i, a = 1 - 15.588i}
which can be found through the quadratic formula

Note: it's possible that there's a typo somewhere in the problem that your teacher gave you. 

6 0
3 years ago
Two congruent figures<br> have the same perimeter.<br> O sometimes<br> O Never<br> O Always
Tanzania [10]

Answer:

always

Step-by-step explanation:

5 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. In the equation√n+5
Yuki888 [10]

Answer:

n = 59

Step-by-step explanation:

The given equation of n is \sqrt{n + 5} - \sqrt{n - 10} = 1 and we have to solve it for n.

\sqrt{n + 5} - \sqrt{n - 10} = 1 ........... (1)

⇒ \frac{(n + 5) - (n - 10)}{\sqrt{n + 5} + \sqrt{n - 10}} = 1  

{Rationalizing the numerator}

⇒ \sqrt{n + 5} + \sqrt{n - 10} = 15 .............. (2)

Now, adding (1) and (2) we get

2\sqrt{n + 5} = 16

⇒ n + 5 = 64 {Squaring both sides}

⇒ n = 59 (Answer)

4 0
3 years ago
How would you symplify 5 and the square root of 90?<br><br> Please show steps
myrzilka [38]
First you have to find the square root of 90 which is about 9.5
now multiply, divide, add, or subtract 5 from 9.5 to get your answer.
8 0
3 years ago
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