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3 years ago

11

a 51 foot ladder is leaning up against a building. the top of the ladder reaches the wall at a height of 50 feet. How far is the

bottom of the ladder from the building?

1 answer:

almond37 [142]3 years ago

7 0

1 foot i think
i might be very wrong

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[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation

irina1246 [14]

Answer:

$y=-\frac{158}{579}$

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

$A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]$

And the vector B is formed with the solution of each equation of the system: $b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]$

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called $A_{2}$ .

$A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]$

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

$y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}$

$y=-\frac{158}{579}$

7 0

3 years ago

Which exponential function goes through the points (1, 8) and (4, 64)?

Mama L [17]

An exponential function can be expressed as:

y=ab^x we have two points so we can solve

64/8=(ab^4)/(ab^1)

8=b^3

2=b, now we have:

y=a(2^x), using point (4,64)

64=a(2^4)

64=16a

4=a so

y=4(2^x)

6 0

3 years ago

I need to collect 30 stickers. Each bag of crisps contains 3 stickers. How many bags will I need to buy?

soldier1979 [14.2K]

Hey there :)

Let p represent the number of bags to be bought

We need to collect 30 stickers and each bag has 3 stickers

3p = 30
↑ ↑
Number of stickers in a bad Number of stickers to be collected

$\frac{3p}{3}$ = $\frac{30}{3}$
p = 10

We need to buy 10 bags of crisps to have 30 stickers

5 0

3 years ago

Read 2 more answers

Did I set this up right?

VashaNatasha [74]

Well if you combine the 3x and the other x it'll be perfect.

hope this helped you sweetie :)

6 0

3 years ago

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Out of 460 students 60% have pets how many of the students have pets

Butoxors [25]

276 is the answer because 460 times .6 = 276

6 0

3 years ago

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