All Answers 358516 Answers

It would vary with the figure. If you add a 2 foot border around a square for instance, each side would be extended by 4 feet. For a triangle, it is more than 2 feet added to each side (but I haven't done the calculation).

The graphs of all are parabolas. Parabolas have the format: ax² + bx + c = 0 

Whether the parabola is facing up or down can be determined by the sign before the "a". Up is +, down is -

The y-intercept occurs where the value of x in the equation is zero.

You can find the x-value of the vertex by (-b/2a), then use this to find the y-value.

Note that the vertex and the axis of sym have the same x -value.

39!C5!  picking 5 numbers from 1-39   please help!

$$\small{\text{
$
\left(\begin{array}{c}
39 \\ 5
\end{array}\right)
$
}}\\\\
\small{\text{
$
\begin{array}{ccc}
&=&\dfrac{39!}{5!\cdot (39-5)! }\\\\
&=&\dfrac{39!}{5!\cdot 34! }\\\\
&=&\dfrac{\not{34!}\cdot 35 \cdot 36 \cdot 37 \cdot 38 \cdot 39}{5!\cdot \not{34!} }\\\\
&=&\dfrac{35 \cdot 36 \cdot 37 \cdot 38 \cdot 39}{2\cdot 3 \cdot 4 \cdot 5}\\\\
&=&\dfrac{35}{5}\cdot \dfrac{36}{4}\cdot 37 \cdot \dfrac{38}{2} \cdot \dfrac{39}{3}\\\\
&=&7\cdot 9 \cdot 37 \cdot 19 \cdot 13\\\\
&=&575757
\end{array}
$
}}$$

Yes there are 39C5 different combinations that could be chosen

on the web2 calc you can enter it like this

nCr(39,5)

This is just given by C(39,5)   = 575,757  ways of picking 5 numbers from 39

The number of combinations you can make from 39 numbers taken 5 at a time, is 575757.

I don't believe that you meant to use the factorial signs.

Density= Mass/Volume  so Mass=Density * Volume

You are given date in Kg/m³ and ml. You must convert the ml to liters before the rest of the calculation

Rearrange the equation so that it is easier to see;

y=-2.6x-8

The slope is the number before the x. This graph with be a straight line which slopes downward, going from left to right.

Distibute

4x-36=8x+24

Combine all x values on one side and integers on the other

-60=4x

Divide both sides by 4

x=-15

Check by inserting answer in original equation.

a. Since the area is derived by multiplying two sides of a square, you can calculate the length of a side by determining the square root of 28, which is 5.292 (to the nearest thousandths).

b.the perimeter of the square can be determined by multiplying the length of the side of  the square by 4, since all four sides of the square are equal. Do not use the 5.292 as it is not the exact length of the side, it has been rounded up.

c. You can answer this yourself by reading a and b above.

Assuming that angle F is a right angle. Then m>F=m>C

FE is congruent to CB; DE to AB

therefore

(x/3)=(45/15)

x=9

It depends on which inverse you need.

An inverse "undoes" an operation. So for addition, it would be subtraction. 7x would then be -7x.

For multiplication, 7x would be (1/7x).

Why do you have 2 right triangles? If you cut off a right triangle from the end of a parallelogram, would you not have just 1 triangle and one rectangle.

$${\mathtt{9}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{8}}}{{\mathtt{12}}}}\right) = {\mathtt{6}}$$

$$20sqrt(xy)$$

There is nothing in this expression that can be simplified further.

$${\mathtt{20}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{x}}{\mathtt{\,\times\,}}{\mathtt{y}}}}$$

draw a right angled triangle.

mark one of the acute angles $$\theta$$

$$\theta$$ = asin (x/1)

now

$$sin\theta = \frac{opp}{hyp}=\frac{1}{x}$$

put 1 on the opp side and x on the hypotenuse

find the adjacent side using the pythagorean theorem.

so you can read cos $$\theta$$ off the triangle.

BUT

You should consider the possible quadrants

if x is positive $$\theta$$ will be in the first quad so cos$$\theta$$ is also positive.

if x is negative $$\theta$$ will be in the 4ht quad so cos$$\theta$$ will be positive also.

(2x-3)(x+3)

$$\left({\frac{{\mathtt{11}}}{{\mathtt{8}}}}\right){\mathtt{\,-\,}}\left({\frac{{\mathtt{2}}}{{\mathtt{8}}}}\right) = {\frac{{\mathtt{9}}}{{\mathtt{8}}}}$$

$$\left({\frac{{\mathtt{9}}}{{\mathtt{8}}}}\right)$$

equals $$1\frac {1}{8}$$

You can divide both sides by -2 to simplify it.

BUT it is the equation of a line so you cannot 'solve' it.

do you mean that y = that and you want to find dy/dx

or

 are you looking for something else?

Where should the brackets be  ???

Please ask you question properly and post again.

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length b and the remaining side has length a .

$$x+\frac{1}{2}x+\frac{1}{6}x=160$$

$$\frac{10}{6}x=160$$

x=96

x2/a2+y2/b2=1

the meaning is not clear.

x^2 =  $${{\mathtt{x}}}^{{\mathtt{2}}}$$

or

x_2    =  $$x_2$$