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jarptica [38.1K]
3 years ago
8

Find the greatest common factor of 66a^3b^3 and 99a^4.

Mathematics
1 answer:
jeka943 years ago
8 0
The greatest common factor of the two terms is 33a^3.

With the numbers 66 and 99, the greatest common factor is 33. It is the largest number that divides evenly into both.

For the variables, the most that is in common in both is a^3.
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Give two examples of a term that could combine with -5xy
kherson [118]

Answer:

-20x       87y

Step-by-step explanation:

6 0
3 years ago
Hep ASAP geometry 25 points
neonofarm [45]

Answer:

(1, - 8 )

Step-by-step explanation:

Given that P'( - 6, - 4 ) is the image of P(- 2, 3 )

Then the rule is (x, y ) → (x - 4, y - 7 )

Thus

A(5, - 1 ) → A'(5 - 4, - 1 - 7 ) → A'(1, - 8 )

7 0
4 years ago
Find the slope of the tangent line to f(x) = √(12-x) at x = -52
wariber [46]

Answer:

slope: -0.0625

Explanation:

To find slope of a function, we have to find the derivative of the function.

  • Here given the function:  f(x) = √(12-x)
<h3><u>Start deriving the equation</u>:</h3>

\rightarrow \sf \dfrac{dy}{dx} = \dfrac{d}{dx} ( \sqrt{12-x} )

\rightarrow \sf \dfrac{dy}{dx} = \dfrac{d}{dx} ( (12-x)^{\frac{1}{2} }} )

\rightarrow \sf \dfrac{dy}{dx} = \dfrac{1}{2} ( (12-x)^{\frac{1}{2}-1 }} )(-1)

\rightarrow \sf \dfrac{1}{2\sqrt{12-x}}\left(-1\right)

\rightarrow \sf -\dfrac{1}{2\sqrt{12-x}}

\bold{\star} <u>Tangent/Parallel Line Has Same Slope</u>

<u />

To find slope at x = -52, simplify insert x = -52 in derivative we found

\rightarrow \sf -\dfrac{1}{2\sqrt{12-(-52)}} \ = \ -\dfrac{1}{16}  \  \ = \  -0.0625

7 0
2 years ago
Read 2 more answers
Farmer Bob has pigs and chickens. He has 37 animals, and there are 124 legs among them altogether. How
Aleksandr [31]
There are 25 pigs and 12 chickens. This is the answer because pigs each have four legs, while chickens have two legs. This problem can be set up by a system of equations to easily find the answer:

x + y = 37; 4x + 2y = 124

To save time, the answer to this system of equations is x = 25, and y = 12. Because pigs have four legs, this means there are 25 pigs (as represented in the system of equations) and there are 12 chickens because they each have two legs.

Your final answer: There are 25 pigs and 12 chickens.
8 0
2 years ago
Read 2 more answers
Please help! I will mark as brainliest. &lt;3
Andrew [12]
<h2>Solving Inequalities</h2><h3>Answer:</h3>

(-\infty,-8]

<h3>Step-by-step explanation:</h3>

-2x +7 \geqslant 23 \\ -2x +7 -7 \geqslant 23 -7 \\ -2x \geqslant 16 \\ \frac{-2x}{-2} \leqslant \frac{16}{-2} \\ x \leqslant -8

The values of x has to be less than or equal to 8 so x \in (-\infty,-8]

3 0
3 years ago
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