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Digiron [165]
3 years ago
14

Can someone help me solve this question? Thanks.

Mathematics
1 answer:
NeX [460]3 years ago
3 0
Using Pascal's Triangle ... row for exponent of 5 is 1  5  10  10  5  1
We only need the first 3: 1  5  10
First term: 1(2 x^{2} )^5=32x^{10}

2nd term: 5(2 x^{2} )^{4}(- \frac{1}{3x} )=- \frac{80}{3}  x^{7}

3rd term: 10(2 x^{2} )^{3}(- \frac{1}{3x} )^{2}= \frac{80}{9}  x^{4}
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The area of a triangle is 24sq inches. If the base of the triangle is 6 inches, what is the height?
Helen [10]

Answer:

8 inches

Step-by-step explanation:

To find the area of a triangle, we use the formula

A = 1/2 bh where b is the length of the base and h is the height

A = 24 and b = 6

24 = 1/2 (6) * h

24 =3h

Divide each side by 3

24/3 = 3h/3

8 =h

The height is 8 inches

4 0
3 years ago
Read 2 more answers
How do you determine if a relation is quadratic by calculation differences, analyzing a graph, examining the degree in an equati
Kryger [21]

1) We can determine by the table of values whether a function is a quadratic one by considering this example:

x | y 1st difference 2nd difference

0 0 3 -0 = 3 7-3 = 4

1 3 10 -3 = 7 11 -7 = 4

2 10 21 -10 =11 15 -11 = 4

3 21 36-21 = 15 19-5 = 4

4 36 55-36= 19

5 55

2) Let's subtract the values of y this way:

3 -0 = 3

10 -3 = 7

21 -10 = 11

36 -21 = 15

55 -36 = 19

Now let's subtract the differences we've just found:

7 -3 = 4

11-7 = 4

15-11 = 4

19-15 = 4

So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.

3) Hence, we can determine if this is a quadratic relation calculating the second difference of the y-values if the second difference yields the same value. The graph must be a parabola and the highest coefficient must be 2

4 0
1 year ago
when table sugar is burned in air, carbon dioxide and water vapor are products, as shown by the following unbalaned chemical equ
Ulleksa [173]
<span>C12H22O11(s)+12O2(g) =12CO2(g)+11H2O(g)</span>
5 0
3 years ago
А<br> 78 = 21<br> 34<br> 615<br> 78<br> → b
lyudmila [28]

Answer:

wha-

Step-by-step explanation:

4 0
3 years ago
Taylor, Jillian, and Gabby are trying to earn enough money to rent a beach house for a week. They estimate that it will cost at
alekssr [168]

Answer:

the money they need (1650$) minus the money they made (600$)

= 1050

1050 divided by 3 = 350

so they each need to make 350$

Step-by-step explanation:

4 0
3 years ago
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