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2 years ago

I need help with this.

Mathematics

1 answer:

masya89 [10]2 years ago

4 0

Answer:

90 degrees and(x)

Step-by-step explanation:

y is 32 degrees.

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How does the value of log Subscript 2 Baseline 100 compare with the value of Log Subscript 6 Baseline 20?.

attashe74 [19]

You can use the change of base formula to get

$\log_2(100) = \frac{\log(100)}{\log(2)} \approx 6.643856$

and also

$\log_6(20) = \frac{\log(20)}{\log(6)} \approx 1.671950$

In general, the change of base formula is

$\log_b(x) = \frac{\log(x)}{\log(b)}$

8 0

2 years ago

How do I divide fractions with a whole number

spin [16.1K]

Answer:

To Divide a Fraction by a Whole Number:

Multiply the bottom number of the fraction by the whole number. Step 2. Simplify the fraction (if needed)

Step-by-step explanation:

3 0

3 years ago

What is the value of 3x^2 + 5x + 25 when x = 3

pshichka [43]

Answer:

Step-by-step explanation:

3x^2 + 5x + 25 when x = 3

= 3(3)^2 + 5(3) + 25

= 3(9) + 15 + 25

= 27 +15 + 25

= 67

6 0

3 years ago

What is the area of each parallelogram

iren [92.7K]

Answer:

24cm^2

Step-by-step explanation:

A=bh

a=base x height..

8 x 3=24cm (^2 because its area)

8 0

3 years ago

Chose parameters h and k such that the system has a) a unique solution, b) many solutions, and c) no solution. X1 + 3x2 = 4 2x1

AysviL [449]

Answer:

a) The system has a unique solution for $k\neq 6$ and any value of $h$ , and we say the system is consisted

b) The system has infinite solutions for $k=6$ and $h=8$

c) The system has no solution for $k=6$ and $h\neq 8$

Step-by-step explanation:

Since we need to base the solutions of the system on one of the independent terms ( $h$ ), the determinant method is not suitable and therefore we use the Gauss elimination method.

The first step is to write our system in the augmented matrix form:

$\left[\begin{array}{cc|c}1&3&4\\2&k&h\end{array}\right]$

The we can use the transformation $r_0\rightarrow r_0 -2r_1$ , obtaining:

$\left[\begin{array}{cc|c}1&3&4\\0&k-6&h-8\end{array}\right]$ .

Now we can start the analysis:

If $k\neq 6$ then, the system has a unique solution for any value of $k$ , meaning that the last row will transform back to the equation as:

$(k-6)x_2=h-8\\x_2=h-8/(k-6)$

from where we can see that only in the case of $k=6$ the value of $x_2$ can not be determined.

if $k=6$ and $h=8$ the system has infinite solutions: this is very simple to see by substituting these values in the equation resulting from the last row:

$(k-6)x_2=h-8\\0=0$ which means that the second equation is a linear combination of the first one. Therefore, we can solve the first equation to get $x_1$ as a function of $x_2$ o viceversa. Thus, $x_2$ ( $x_1$ ) is called a parameter since there are no constraints on what values they can take on.

if $k=6$ and $h\neq 8$ the system has no solution. Again by substituting in the equation resulting from the last row:

$(k-6)x_2=h-8\\0=h-8$ which is false for all values of $h\neq 8$ and since we have something that is not possible $(0\neq h-8,\ \forall \ h\neq 8)$ the system has no solution

6 0

3 years ago

I need help with this.​

I need help with this.