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2 years ago

Evaluate C(9, 9). A. 1 B. 0 C. 9

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

3 0

the formula is

n!/(n-k)!)k!

remember 0! = 1

9!/(9!-0!)9! = 9!/9! = 1

B. 1

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The sum of two numbers is twenty-four. The difference of the two numbers is four.

RSB [31]

Answer:

$x + y = 24$

$x - y = 4$

Now, add these two equations.

You get,

$2x = 28$

$x = \frac{28}{2}$

$x = 14$

Given,

$x + y = 24$

$14 + y = 24$

$y = 24 - 14$

$y = 10$

You can test this to the other equation as well.

$x - y = 4$

$14 - 10 = 4$

Hence, the two numbers are 14 and 10.

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2 years ago

Area of a triangle with verticals of (-4,1),(-7,5),(0,1)

Lynna [10]

Answer:

$8 ft^2$

Step-by-step explanation:

I assume that the three points given are the vertices of the triangle. So the three points are:

A (-4,1)

B (-7,5)

C (0,1)

The area of a triangle is given by:

$A=\frac{1}{2}bh$

where b is the base and h is the height.

Here we can take as follows:

- We can take the base to be the side AC, so that its length is equal to the distance between the two points:

$AC=\sqrt{(0-(-4))^2+(1-1)^2}=4$

- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:

$h=(5-1)=4 ft$

Therefore, the area of the triangle is:

$A=\frac{1}{2}(4)(4)=8 ft^2$

7 0

2 years ago

Let x be a positive integer. If (-3)ºx (-3)* = (-3)14,<br> what is x?

Nezavi [6.7K]

Answer:

$-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14 : x = \frac{840}{180^{\circ \:}}$

Decimal Form:

$x = -267.38030...$

Step-by-step explanation:

$-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14$

Remove Parentheses: $(-a) = -a$

$-3^{\circ \:}x\left(-3\right)=-3\cdot \:14$

Multiply the numbers: $3 * 14 = 42$

$-3^{\circ \:}x\left(-3\right)=-42$

Divide both sides by: $-3^{\circ \:}\left(-3\right)$

$\frac{-3^{\circ \:}x\left(-3\right)}{-3^{\circ \:}\left(-3\right)}=\frac{-42}{-3^{\circ \:}\left(-3\right)}$

Simplify:

$x=-\frac{840}{180^{\circ \:}}$

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

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2 years ago

Geometry it's about relations within triangles. need help solving for variables

elena-14-01-66 [18.8K]

Answer:

`18. x=9

19. x=4

20. x=25,5

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Step-by-step explanation:

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1 year ago

What is completely factored form of x^4+8x^2-9

olganol [36]

X^4 + 8x^2 - 9
= (x^2 + 9)(x^2 - 1)
= (x^2 + 9)(x + 1)(x - 1) Answer

4 0

2 years ago

Read 2 more answers