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2 years ago

11

Write the equation log216 36=36 in logarithmic form

1 answer:

Zielflug [23.3K]2 years ago

3 0

This is impossible and it is not even an equation since $\log_{216} 36 = 2/3$

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alexgriva [62]

Answer:

6=2 , 12=4, 15=5, 24=8

Step-by-step explanation:

6 0

3 years ago

Identify the augmented matrix for the system of equations.

lord [1]

Answer:

The augmented matrix for the system of equations is $\left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right]$ .

Step-by-step explanation:

This system consists in three equations with three variables ( $x$ , $y$ , $z$ ).The augmented matrix of a system of equations is formed by the coefficients and constants of the system of linear equations. In this case, we conclude that the system of equations has the following matrix:

$\left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right]$

The augmented matrix for the system of equations is $\left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right]$ .

8 0

2 years ago

Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0

3 years ago

Scott wants to cover his patio with concrete pavers. If the patio is shaped like a trapezoid whose bases are 11 feet and 13 feet

GenaCL600 [577]

<u><em>Answer:</em></u>

Scott will need 168 ft² of pavers to cover his patio

<u><em>Explanation:</em></u>

Scott wants to cover a trapezoid-shaped patio

<u>This means that:</u>

To get the number of square feet of pavers he'll need, we need to get the area of his patio

<u>Area of trapezium id calculated as follows:</u>

$Area = \frac{base_{1}+base_{2}}{2} * height$

<u>We are given that:</u>

base₁ = 11 ft

base₂ = 13 ft

height = 14 ft

<u>We now substitute with the givens to get the area as follows:</u>

$Area = \frac{11+13}{2} * 14 = 168ft^2$

<u>This means that:</u>

Scott will need 168 ft² of pavers to cover his patio

Hope this helps :)

5 0

3 years ago

Katrina randomly selected 64 students out of her school of 400 students and found that 40 of them want school to start at a late

SashulF [63]

- The sample size is 64.

- The point estimate of the population proportion is 0.625.

-The margin of error is approximately 16%.

6 0

3 years ago

Read 2 more answers