All Answers 358516 Answers

A/B = 8/5.

1. The parabola is y = -x^2 - 4x + 2, so the answer is (-1)(-4)(2) = 8.

Yes you are right.  (I forgot about that bit)

I have made a lot of careless mistakes.

I will fix it in the morning.

It is always very pleasing when I know my answers have been examined properly.  

(Even when they are riddled with errors)

THANKS CHEESESTEAK1432  

This question has already been answered - twice, in fact!

The sequence includes: 1,2,2,4,4,4.

We can do casework. If the seventh die roll is a 3,5,6, then the number of ways is the number of orderings.

\(\frac{7!}{2!3!}*3\) which simplifies to 1260.

because we need to divide by 3! for the 4s and 2! for the twos and multiply by 3 (using 3, 5, and 6).

Then, if the seventh roll is a 1, the sequence is an ordering of 1,1,2,2,4,4,4.

This, using the same reasoning as before, is 

\(\frac{7!}{3!2!2!}\) which simplifies to 210.

If the seventh roll is a 2, then the sequence is 1,2,2,2,4,4,4, which is 

\(\frac{7!}{3!3!}\) which simplifies to 140.

If the seventh roll is a 4, then the sequence is 1,2,2,4,4,4,4, which is 

\(\frac{7!}{2!4!}\) which simplifies to 105.

Finally, we add all these together to get 1260+210+140+105=1715.

Simplify 6a+4b=k+3a to get 3a+4b=k.

If:

3a+4b=k

and

3a+4b=7

then the two equations must be equal, so k=7.

The equation of a downward-facing parabola is of the form y=a(x−h)2+k, where a is the coefficient of the squared term, h is the horizontal shift of the parabola, and k is the vertical shift of the parabola.

We can find h and k by substituting the known points into the equation. For example, if we substitute the point (1,7), we get:

7=a-2ah+h^2+k

0=-2ah+h^2+6

We can solve this quadratic equation for h to get:

h=3

Substituting the point (3,13), we get:

13=a(3-h)^2+k

13=a-6a+9+k

4=3a+k

k=4-3a

Substituting the point (9,7), we get:

7=a-81a+81+4-3a

7=-78a+85

-78a=78

a=-1

Substituting a=−1, h=3, and k=4−3a into the equation y=a(x−h)2+k, we get:

y=-1(x-3)^2+4-3(-1)

y=-(x^2-6x+9)+7

y=-x^2+6x-2

Therefore, if the parabola passes through the point (7,b), then b=−72+6(7)−2=−13​.

4+2+3+7=16

Divide 240/16 to get 15*4 yellow, 15*2 green, 15*3 blue, and 15*7 white.

Blue is what we are looking for, so the answer is 15*3=45.

The equation is -3x^2 + 6x + 2.

This question has already been answered.

Simplified as 17 2/5

Nvm the answer is 17 4/10

To find the perpendicular distance from the given line to the point (2,1,7), we need to find a point on the line that is closest to the given point. This point will be on the line connecting the given point and the line, and will be the point where a perpendicular line from the given point intersects the line.

\(2z+i = iz+3\\ z(2-i)=3-i\\z=\frac{3-i}{2-i}\\z=\frac{3-i}{2-i}\times\frac{2+i}{2+i}\\z=\frac{(3-i)(2+i)}{2^2-i^2}\)

Can you take it from here?

Like this:

The equilateral triangle ABG divides the larger triangle ABC into 3 congruent triangles.

Area of ABG with side lengths of 2 ==sqrt(3)

Area of ABC ==3 * sqrt(3)

Find the distance between the x-intercept and the y-intercept of the graph of the equation 3x - 7y = 21 + 2x - 5y. 

                                                       3x - 7y = 21 + 2x - 5y  

Combine like terms.                         –7y + 5y  =  2x – 3x + 21  

                                                         –2y  =  –x + 21 

Multiply both sides by –1

this isn't necessary but it 

makes it easy to work with.  

Easier for me, anyway, LOL.                2y  =  x – 21  

Set y = 0 and solve for x                                 x  =  21         That's your x-intercept.  

Set x = 0 and solve for y                                 y  =  –10.5    That's your y-intercept. 

Those are the values of the two legs of a right triangle, with the origin being the right angle. 

If you draw it on a graph, it's obvious.  

The line between the x- and y- intercepts is the hypotenuse of that right triangle. 

Pythagoras' Theorem                         c²  =  (21)² + (–10.5)²   

                                                           c²  =  441 + 110.25  =  551.25   

I used my calculator to

get this square root.                            c  =  23.48  

_.

We can rearrange the equation as follows:

zw - 3w - 2iw + 4iz = -8 + 12i

(z - 4i)(w - 2i) = -8 + 12i

z - 4i = -\frac{8 + 12i}{w - 2i}

z = -\frac{8 + 12i}{w - 2i} + 4i

This is a general formula for all solutions to the equation, where z and w are complex numbers.

To find specific solutions, we can substitute in any values for w. For example, if we let w=1, then we get:

z = -\frac{8 + 12i - 8i + 8}{1 + 2}

z = -\frac{4 + 4i}{3}

Therefore, one solution is z=−34+4i​. There are infinitely many other solutions, each of which can be found by substituting in a different value for w.

There are four acute angles.

Thank you for spending a long time on this explanation, but I am confused on how you found the bricked area. I see that you found the area of the sector, but what about the bricked area to the right of line segment DE?

We can solve this equation by subtracting iz+3 from both sides, which gives us:

2z - iz = 3

Combining like terms, we get:

z(2 - i) = 3

Dividing both sides by 2−i, we get:

z = 3 / (2 - i)

We can simplify this expression by multiplying the numerator and denominator by the conjugate of the denominator, which is 2+i. This gives us:

z = 3(2 + i) / (2^2 - (-1)) = 3(2 + i) / 5 = (6 + 3i) / 5 = 6/5 + 3/5*i.

just work outwards

g(27) = 3^27

\(f [g(27)] = f ( 3^{27} ) = log_3(3^{27})=27log_33=27\\ etc\)

Ermmmm...ok

Using PEMDAS, we can form:

1. 3(1+2)

2. 3(3)

3. 9

So your answer is 9.

I might need the picture for it ;-;