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3 years ago

Which statements about the pattern are true?

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

8 0

All the correct answers are C and D.

snow_tiger [21]3 years ago

5 0

C.
Every term is a multiple of 3.
AND
D.
Every term is greater than the previous term.

are your answers

Hope this helps!

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Y = x^3 + 5x^2 + 3x x= -3

dexar [7]

Answer:

Step-by-step explanation:

-3^3 +5*(3)^2 +3*-3

-27+5*9+(-9)

-27+45-9

8 0

2 years ago

Read 2 more answers

What is the value of x in the equation shown? 2(X + 8) - 4x = 10x + 4

Anna007 [38]

Answer:

Option C: X=1

Step-by-step explanation:

2(X + 8) - 4x = 10x + 4

2X + 16- 4X= 10X + 4

-2X +16 =10X + 4

16 - 4 = 10X+2X

12 =12X

X=1

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2 years ago

Line segment YV of rectangle YVWX measures 24 units.

oksian1 [2.3K]

Answer: $YX=13.85\ units$

Step-by-step explanation:

<h3> The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3> The missing figure is attached.</h3>

Since the figure is a rectangle, you know that:

$WV=YX\\\\YV=XW=24$

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

$tan\alpha =\frac{opposite}{adjacent}$

You can identify that:

$\alpha =30\°\\\\opposite=YX\\\\adjacent=YV=24$

Therefore, in order to find the length of the segment YX, you must substitute values into $tan\alpha =\frac{opposite}{adjacent}$ and then you must solve for YX.

You get that this is:

$tan(30\°)=\frac{YX}{24}\\\\(24)(tan(30\°))=YX\\\\YX=13.85$

7 0

3 years ago

Read 2 more answers

43. Can you place ten lumps of sugar in three empty cups so that

erma4kov [3.2K]

Answer: No.

Step-by-step explanation:

We have 10 lumps of sugar, and we want to divide them into 3 cups, in such a way that there is an odd number of lumps in each cup.

This only can happen if we have 3 odd numbers such that the addition is equal to 10.

Now 10 is an even number, remember that even numbers can be written as:

2*k

where k is an integer number.

And odd numbers can be written as:

2*n + 1

where n is an integer.

Then we have 3 odd numbers, let's call them:

(2*n + 1), (2*k + 1) and (2*p + 1).

Now let's add them:

(2*n + 1) + (2*k + 1) + (2*p + 1).

2*(n + k + p) + 1 + 1+ 1

2*(n + k + p) + 2 + 1 =

2*(n + k + p + 1) + 1.

Now, the number n + k + p + 1 is an integer number, let's call it X, then we have that the addition of the 3 odd numbers is:

2*X + 1

This is an odd number

So for any 3 odd numbers that we add together, the result will always be an odd number.

Then is impossible to add 3 odd numbers and get 10 as the result (Again, 10 is an even number).

Then is not possible to have an odd number of lumps in each cup.

5 0

2 years ago

To the neareast tenth，what is the area of the figure below? Use 3.14 for pi.

WARRIOR [948]

What figure below.....

8 0

3 years ago