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3 years ago

10

If two angles are vertical angles, then they are congruent

1 answer:

Yuliya22 [10]3 years ago

3 0

Answer:

True

Step-by-step explanation:

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Is 20 quart greater than 80 cups

White raven [17]

I think it's equal
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3 years ago

How many real number solutions does the equation have 0=5x^2+2x-12

Harman [31]

Rearrange the equation to standard form of a quadratic equation (ax^2+bx+c=0) by switching sides: 5x^2+2x-12=0. Now, use the quadratic equation formula to solve. You should come out with x_1=sqrt61-1/5 and x_2=-1+sqrt61/5. Thus, your answer is B, or two solutions.

7 0

3 years ago

Read 2 more answers

A rectangular tank measures 20cm x 30cm x 40cm. You want to fill it by using a cubic container that is 20cm on each side to carr

umka2103 [35]

Answer:

4 trips

Step-by-step explanation:

Given that:

Dimension of rectangular tank :

(20cm * 30cm * 40cm)

Dimension of cubic container used to fill tank = 20cm per side

Volume of tank = (20 * 30 * 40) = 24400 cm³

Volume of cubic container = (20 * 20 * 20) = 8000 cm³

Number of trips it would take :

Volume of tank / volume of container

24400 cm³ / 8000 cm³

= 3.05

Hence, it will take 4 trips

4 0

3 years ago

Find the generating function for the sequence 1,1,1,2,3,4,5,6,....

marin [14]

Answer:

$P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1$ [/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

$1,1,1,2,3,4,5,6,...$

the generating function would be

$P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\$

we can multiply P(x) by x to get

$xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...$

Note that

$P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\ \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)$

which for $\mid x \mid < 1$ can be rewritten as

$(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}$

8 0

3 years ago

43. Find the image of the point (1,2) when reflected<br>by the line x=-1

dolphi86 [110]

Answer:

-3, 2

Step-by-step explanation:

4 0

3 years ago