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3 years ago

Factor each equation

Mathematics

1 answer:

Ainat [17]3 years ago

8 0

Answer:

x^4 - 11·x^2 + 18 = 0

I use Vieta's formulas

-9·(-2) = 18 and -9 + (-2) = -11

(x^2 - 9)·(x^2 - 2) = 0

(x + 3)·(x - 3)·(x + √2)·(x - √2) = 0

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A circle has a diameter of 12 units, and its center lies on the x-axis. What could be the equation of the circle?

ycow [4]

Answer:

$x^{2} +y^{2} =36$

Step-by-step explanation:

A circle centered at (0,0) with radius r is $x^{2} +y^{2} =r^{2}$

Since your circle has diameter of 12, then its radius is 6. Then $r^{2} =36$

So a possible answer is: $x^{2} +y^{2} =36$

If you want to move the location of the center, but keep it on the x-axis, then add or subtract a number to the x, such as this:

$(x+4)^{2} +y^{2} =36$

The center of this circle would be (-4, 0) which is still on the x-axis.

8 0

3 years ago

Spencer, Jaclyn, and Ayden go shrimping in

larisa [96]

The total pounds of shrimp they catch is 9.625 pounds

<h3>Sum of values and decimals</h3>

Decimal number are numbers that has decimal points. Given the following information;

The total shrimp Spencer catch = 2 pounds

The total shrimp Jaclyn catch = 3.25 pounds

The total shrimp Ayden catch = 4.375 pounds

Determine the total pounds of shrimp they catch

Total shrimp = 2 + 3.25 + 4.375

Total shrimp = 9.625 pounds

Hence the total pounds of shrimp they catch is 9.625 pounds

Learn more on sum of decimals here; brainly.com/question/1827193

#SPJ1

7 0

1 year ago

Shirley wants to buy a skateboard for $64. She has $98 in her account. She spent $10.85 to buy stationary. She also wants to buy

nikdorinn [45]

She can get 14 cookies

3 0

2 years ago

| 2x + 2y = 10<br> y = 5+x

melisa1 [442]

2x + 2(5+x)=10
2x+10+2x=10
4x+10=10
4x=0
X=0

6 0

3 years ago

Application of Geometric Series

Gnoma [55]

Answer:

7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

a1 = 2(0.6) . . . . . summation term for n=1

r = 0.6

So the sum is ...

$\displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112$

Then the value of the entire given expression is ...

$\displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}$

_____

A calculator can help you find the value.

6 0

2 years ago