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Andrej [43]
4 years ago
9

Which of the following sets contains multiples of six?

Mathematics
1 answer:
djverab [1.8K]4 years ago
5 0

Answer:

D

Step-by-step explanation:

6*2=12

6*3=18..........

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The jogging path at the park is 2.7 miles long. Miriam completed one lap of the path, walking part and jogging part. She hogs ha
Nimfa-mama [501]

Answer:

Miriam walks for 1.8 miles and jogs for 0.9 miles.

Step-by-step explanation:

The path for jogging is 2.7 miles.

One lap of the path, that is 2.7 miles, is completed by Miriam by jogging part and walking part.

Let the jogging part be x miles.

It is given she jogs half the distance she walks , therefore we can say that she walks for 2x miles.

So we can say that 2x + x  = 2.7 miles     ⇒    3x  = 2.7 miles

                                                                   ⇒   x  = 0.9 miles.

Therefore Miriam walks for 1.8 miles and jogs for 0.9 miles.

6 0
3 years ago
Which of the following equations is used to find the value of c (the distance to the foci) for an ellipse? 
Reika [66]

The equation of ellipse:

\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1

The formula of c (the distance to the foci)

c^2=a^2-b^2\qquad|\text{add}\ b^2\ \text{to the both sides}\\\\c^2+b^2=a^2

<h3>Answer: c² + b² = a²</h3>
4 0
3 years ago
HELP! Austin is going to invest $94,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, wh
Svetllana [295]

Answer: 3.7%

Step-by-step explanation:

4 0
3 years ago
Solve the system by finding the reduced row-echelon form of the augmented matrix.
Alex

Answer:

The reduced row-echelon form is

\left[ \begin{array}{cccc} 1 & 0 & 6 & -10 \\\\ 0 & 1 & 2 & -3 \\\\ 0 & 0 & 0 & 0 \end{array} \right]

The solutions to the system of equations are:

y=-2z-3,\:x=-6z-10

Step-by-step explanation:

To solve this system of linear equations,

x-4y-2z=2\\2x-11y-10z=13\\-x+6y+6z=-8

you must:

Step 1: Transform the augmented matrix to the reduced row echelon form.

In an augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.

This is the augmented matrix that represents the system.

\left[ \begin{array}{cccc} 1 & -4 & -2 & 2 \\\\ 2 & -11 & -10 & 13 \\\\ -1 & 6 & 6 & -8 \end{array} \right]

It can be transformed by a sequence of elementary row operations to the matrix.

There are three kinds of elementary matrix operations.

  1. Interchange two rows (or columns).
  2. Multiply each element in a row (or column) by a non-zero number.
  3. Multiply a row (or column) by a non-zero number and add the result to another row (or column).

Using elementary matrix operations, we get that

Row Operation 1: add -2 times the 1st row to the 2nd row

Row Operation 2: add 1 times the 1st row to the 3rd row

Row Operation 3: multiply the 2nd row by -1/3

Row Operation 4: add -2 times the 2nd row to the 3rd row

Row Operation 5: add 4 times the 2nd row to the 1st row

\left[ \begin{array}{cccc} 1 & 0 & 6 & -10 \\\\ 0 & 1 & 2 & -3 \\\\ 0 & 0 & 0 & 0 \end{array} \right]

Step 2: Interpret the reduced row echelon form

The reduced row echelon form of the augmented matrix is

\left[ \begin{array}{cccc} 1 & 0 & 6 & -10 \\\\ 0 & 1 & 2 & -3 \\\\ 0 & 0 & 0 & 0 \end{array} \right]

which corresponds to the system

x+6z=-10\\y+2z=-3\\0=0

The system has infinitely many solutions.

y=-2z-3,\:x=-6z-10

4 0
4 years ago
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