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matrenka [14]
3 years ago
12

The perimeter of triangle abc is 24. if ab = 9 and bc = 7, then ac =

Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0
The answer to the question is 8. ac = 8
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Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A.
kondaur [170]

Th matrix is missing. The matrix is :

\begin{bmatrix}1 &-4  &4 \\ -4 &16  & 4 \end{bmatrix}

Solution :

The column of the matrix are \begin{bmatrix}1\\ -4\end{bmatrix} , \begin{bmatrix}-4\\ 16\end{bmatrix}, \begin{bmatrix}4\\ 4\end{bmatrix}

Now each of them are vectors in $IR^2$. But  $IR^2$ has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.

Therefore, the column of the given matrix does not form the \text{linearly independent set} as the set contains \text{more vectors} than there are entries in each vector.

Therefore, option (D) is correct.

4 0
3 years ago
If y=9 when x=7 find y when x=2?
PilotLPTM [1.2K]
Is that all the information? it could literally be any number with only that.
3 0
3 years ago
The difference of two numbers is 15. Five times the smaller is the same as 9 less than twice the larger. Find the numbers
Usimov [2.4K]

Answer:

x= -13

y= -28

Step-by-step explanation:

To find the two numbers, write a system of equations with x as one number and y as another:

x-y=15

5x=2y-9

Use substitution to substitute one equation into another. Then solve for the variable.

x=15+y into 5x=2y-9

becomes

5(15+y) = 2y-9

75+5y = 2y- 9

75+3y= -9

3y = -84

y= -28

To find x, substitute y= -28 into one equation.

x - (-28) = 15

x+28 =15

x = 15-28

x=-13




6 0
3 years ago
18. During a sale, cameras were discounted 30% from their original price of $295.99. How much was each camera during the sale to
attashe74 [19]

Answer:

207.19 is the cost on sale

Step-by-step explanation:

If there is a discount of 30%, we still have to pay 100-30 = 70%

295.99 * 70%

295.99 * .70

207.193

Rounding to the nearest cent

207.19 is the cost on sale

6 0
3 years ago
Read 2 more answers
Help me solve this problem 98+p=56
Arlecino [84]

p=-42

move 98 to the right side of the equal sign which becomes -98

p=56-98

do the math

p=-42

3 0
3 years ago
Read 2 more answers
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