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First, we have to find the missing leg length by using the Pythagorean Theorem:

13² = 169, 12² = 144, 169 - 144 = 25, 5² = 25. So, base area = 30 units².

30 times 10 = 300. The answer is 300 units³.

The simple interest formula is: A = P(1 + rt) where P is the original amount of money to be invested at an Interest Rate r% per period for t number of time periods and A is the end balance.

A = 25000(1+(0.02)(4))

A = 25000(1+0.08)

A = 25000(1.08)

25000(1.08) = 27000

So, your ending balance would be $27,000.

Since area is in square units rather than cube units, I'm going to assume this is the surface area, not the volume.

Each edge = 9, so each side has an area of 81 units². Since a cube has 6 sides, the overall area is (side area) times 6. \(81 \times 6 = 486\) units², so the answer is b.

Yes, everything is the same but solving for TO instead. Thx so much. This is just part b so everything will be the same.

Got it. Was this what you originally meant?

Anyways, I need to know whether or not these 2 isosceles triangles are similar. If they are:

Do they have reflection or rotation symmetry? Without solving this, your answer is: 55/7+77/5 = 23.2571428 (numbers in italics are repeating).

I would be glad to give an explanation, but I'm pretty sure this is urgent.

Thank you

HW : Exit Tickets

Rowley= 8:7

Rivera= 16:15

The ratios are not equivalent because 8/16 does not equal 7/15.

So, TIP is a triangle with side lengths 5, 7, and x, an array of values the missing side lengths could be. Since TIP is a isosceles triangle, I know that the third side length is 5 or 7. Therefore, the answer to your problem is 12, since the sum of x is 5 + 7.

I know what you are talking about, but every time it does that to me, it is because I never actually selected a photo to begin with.

If your screen looks like this picture before you hit upload, you have to actually choose the photo first.

Otherwise it will show this.

I'm assuming f^{-1} is a way of switching the input and output values, which works for this function. Therefore f^{-1}(f(f^{-1(19))) --> f^{-1} = 19, so f(x) = 19. I substituted the equation in and got x^3-8 = 19. I added 8 to each side to get x^3 = 27. To get x without an exponent, I took the cube root of each side, getting x = 3. Either way, f^{-1}(f(f^{-1(19))) = f^{-1}(19) = f(3)

First, Jennifer's weekly pay is $575 ($1,150 / 2 = $575)

Add that to Jim's, and you get $1,275/week

Since there is a little over 364 days in a year, we can round this number to make it easier to manage:

Family's income/year: $1,275/week * 52 weeks/year = $66,300/year

Now, convert all of the expenses to years to make it easier to manage:

Mortgage + taxes= $1320/month * 12 months = $15,840/year

Food: 150/week * 52 weeks/year = $7,800/year

Clothing: $2,000/year

Utilities: $500/month * 12 months/year = $6,000/year

Charity: $100/month * 12 months/year = $1,200/year

Entertainment: $250/month * 12 months/year = $3,000/year

Loan payments: $200/month * 12 months/year = $2,400/year

Savings: $100/week * 52 weeks/year = $5,200/year

Vacation Fund: $100/month * 12 months/year = $1,200/year

Transportation: $250 bi-weekly / 2 = $125/week --> $125/week * 52 weeks/year = $6500/year

Gifts: $1,200/year

Spending money: $120/week * 52 weeks/year = $3,640/year

Day care: $150/week * 52 weeks/year = $7,800/year

Total expenses: $7,800 + $3,640 + $1,200 + $6,500 + $1,200 + $5,200 + $2,400 + $3,000 + $1,200 + $6,000 + $2,000 + $7,800 + $15,840 = $63,780

They are making a surplus of $2,520. If they needed to cut something, they could try taking out the charity, entertainment, and vacation fund categories. I would, as of now, recommend putting more into the savings category.

A) altitude

Good job, AT

Here's the second one

y = -2x^2  + 32x - 12

The x coordinate of the vertex is    -32 / [ 2 ( -2 ) ]  =  -32 / -4  = 8

Since the first term is negative, this parabola turns downward, so we have a max at

-2 * 8^2  + 32 (8) - 12  =     -128 + 256 - 12 = 116

So...no y value can be > 116..so the range is   y ≤ 116 

i figured it out, don't trust desmos XD

thanks anyway! i have no idea how many of my questions you have answered, but it is definitely a lot!

Were you trying to solve an equation,OBT????

If so...post the problem and we'll see if we can solve it

Since the standard form of a quadratic is y=a(x-a)²+b, we can plug in the vertex.

\(y=a(x+4)^2+7\)

To find a, plug in the point it passes through.

\(8=a(-3+4)^2+7\)

Simplify.

\(8=a(1)+7\)

\(8=a+7\)

\(1=a\)

So, the formula is \(y=(x+4)^2+7\).

well i had 4.646 rounded...desmos doesn't go very deep into decimals for me XD

Notice that 

-2 - √ 7  is an irrational number  [ can't be expressed as a fraction]

But    -4.646   is rational   [ can be expressed as a fraction ]

So......it's impossible to turn a rational into an irrational  -  and vice-versa......

13 x^2 -10x +350

When  x  =  8

13 * 8^2 - 10 * 8 +  350   =  1102 

Hey, rosala  !!!

I agree....that is REALLY neat  !!!!!

Wow Steve , that thing is so lit, good job.....i was so amazed to see it.... i think admin would love it....awesome work!

50/ 6   =   8 + 2/6

So....8 times with a remainder of 2

f(a) = 1 / [ 1 - a ]

For f(a)  write y

y = 1 / [ 1 - a]   rearrange as

[1 - a] =  1 / y

1 - 1/y   =  a     swap   a   and   y

1 - 1 / a  =  y   =  f^-1 (a)  =   [ a - 1 ] / a

So

f^-1 (a)   *  a  *  f(a)     =

 [ a - 1 ] / a    *  a    *  1 / [ 1 - a]  =

[a - 1]  / [ 1 - a  ]  =

- [ 1 - a ] / [ 1 - a ]  =      -1

f (f(x) )    =

√  [ √ ( x - 3) - 3 ]

Since     √ ( x - 3) - 3    must be >=  0, set this to 0

Add 3 to both sides

√ ( x - 3)    =  3       square both sides

x - 3  =  9

x =  12

So...the domain  is  [12, inf )