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ser-zykov [4K]
1 year ago
9

X^2 - 10x - 20 = 0, which number would have to be added to "complete the square"?

Mathematics
2 answers:
nikdorinn [45]1 year ago
4 0

Answer:

25 to both sides

Step-by-step explanation:

Group x² and x terms

(x² - 10x ) - 20

complete the square

(x² - 10x +25 ) -20 -25

(x-5)² -45

Airida [17]1 year ago
3 0

Answer:

45

Step-by-step explanation:

When you're completing the square you're adding (b/2)^2 which in this case is (-5)^2 or 25. This is because when you rewrite it as a square binomial you write it in the form (x+(b/2))^2 which is going to result in x^2+b+(b/2)^2. Since you need to reach 25 you need to add 45 since the last value is at -20.

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Nikolay [14]

Answer:

270 degrees counterclockwise rotation/ the last answer

Step-by-step explanation:

reflection over the y axis wouldn't work bc the shape would still be a horizontal rectangle

dilation would change the size of the shape

and translation wouldn't map it correctly bc it would still be turned the wrong way

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2 years ago
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Find the x and y intercept and the slope of the graph of 8x-6y=24
andreev551 [17]

Answer:

the x intersept is 3 the y intercept is 4

Step-by-step explanation:

x intersept : 24/8 = 3

y intersept : 24/6 =4

4 0
2 years ago
An ice cream stand uses the expression 2 + 0.5x2+0.5x2, plus, 0, point, 5, x to determine the cost (in dollars) of an ice cream
Rashid [163]

Answer:

An ice cream cone with 5 scoops cost is, $4.5

Step-by-step explanation:

As per the statement:

An ice cream stand uses the expression 2+0.5x to determine the cost of an ice cream cone that has x scoops of ice cream.

⇒ Cost of an ice cream cone C(x) = 2+0.5x         .....[1]

Given: x = 5 scoops

We have to find the cost of an ice cream cone with 5 scoops cost.

Substitute the given value of x =5 in [1] we have;

C(5) = 2+0.5(5)

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3 0
3 years ago
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Is 12n2+12n+1 prime over the set of polynomials with rational coefficients? Need help ASAP
professor190 [17]

Answer:

No, the given polynomial is not prime.

Step-by-step explanation:

Given: a polynomial 12n^2+12n+1

To check: whether the given polynomial is prime or not.

Solution:

A prime polynomial is a polynomial that cannot be factored into polynomials of lower degree and has integers as coefficients.

In the given polynomial, coefficients are integers.

Also, the polynomial 12n^2+12n+1 cannot be factored further into polynomials of lower degree.

So, the given polynomial is not prime.

8 0
3 years ago
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Answer:

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