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Masteriza [31]
3 years ago
10

Answer correctly, will mark brainliest answer !!!

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

x-6

Step-by-step explanation:

The formula for the area of a rectangle is (l)(w)

x-5(w)=x²-11x+30

To solve, you need to put the quadratic equation into standard form

x-5(w)=(x-5)(x-6)

Divide both sides of the equation by x-5 to isolate the width(basically strike out x-5 on both sides)

the width is x-6

I pretty sure that's the right answer since (x-5)(x-6)=x²-11x+30, but I'm in geometry right now, and I had to go back and re-learn.

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Evaluate 10C4. Type a numerical answer in the space provided. Do not type spaces in your answer.
SOVA2 [1]
10C4 represent the Combinations of 10 objects taken 4 at a time. 

The formula for nCr is:

nCr= \frac{n!}{r!(n-r)!}

In the given case, n=10 and r=4. Using these values we get:

10C4= \frac{10!}{4!(10-4)!} \\  \\ 
= \frac{10!}{4!*6!} \\  \\ 
=210

This means we can make 210 combinations of 10 objects taken 4 at a time.
4 0
2 years ago
The ages of three children in a family can be expressed as consecutive integers. The square of the age of the youngest child is
tensa zangetsu [6.8K]

Answer: 10, 11, & 12

<u>Step-by-step explanation:</u>

Let x represent the age of the youngest child.  

Their ages are consecutive so,

Youngest: x

Middle: x + 1

Oldest: x + 2

The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.

x² = 8(x + 2) + 4

x² = 8x + 16 + 4

x² = 8x + 20

x² - 8x - 20 = 0

(x - 10)(x + 2) = 0

x - 10 = 0     or      x + 2 = 0

  x = 10       or          x = -2

Since age cannot be negative, x = -2 is not valid

So, the Youngest (x) is 10

the Middle (x + 1) is 11

and the Oldest (x + 2) is 12

4 0
3 years ago
Find the derivative dy, dx for y equals the quotient of the quantity x cubed minus 5 times x and the quantity x squared minus 1.
Elza [17]
Using the quotient rule  

dy/dx  =  (x^-1) * (3x^2 -5 ) - (x^3 - 5x) * 2x
              ----------------------------------------------
                              (x^2 - 1)^2

You are correct
7 0
2 years ago
"Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 =
Debora [2.8K]

Answer:

Step-by-step explanation:

Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work

6 0
2 years ago
What number makes the equation true?<br> + 13 = 47
olga_2 [115]

Answer:

x=34

Step-by-step explanation:

Just take 47-13=34

7 0
3 years ago
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