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3 years ago

These liness pass through the same point

Mathematics

1 answer:

anyanavicka [17]3 years ago

8 0

Answer:

All of them except B

Step-by-step explanation:

Bisecting is splitting a line in half

Parallel lines never touch each other

Intersecting lines intersect

Corresponding lines are 2 parallel lines with a line that is going through them

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Help me plz its math plz help

Tom [10]

Hi there! :)

Answer:

a = 12 units.

Step-by-step explanation:

Using the Pythagorean Theorem (c² = a² + b²), where

c = length of the Hypotenuse

a = length of the shorter leg

b = length of the longer leg

We can calculate the length of "a" by substituting in the values into the equation:

c = 15

a = "x"

b = 9

----------------

15² = x² + 9²

Simplify the squares:

225 = x² + 81

225 - 81 = x²

144 = x²

Take the square root of both sides:

√144 = x

x = 12 units.

Therefore, the length of a = 12 units.

6 0

3 years ago

Read 2 more answers

The graph shows two exponential functions. Choose the correct statement concerning their bases

Irina18 [472]

Answer:

Step-by-step explanation:

The two graphs are reflections of each other in the y-axis

If one is f(x), other is f(-x)

c^x = b^(-x)

c = b^-1

c = 1/b

4 0

3 years ago

Which of these statements is true for f(x)=(1/10)^x

lana66690 [7]

Step-by-step explanation:

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Analyzing option A)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Putting $x = 1$ in the function

$f\left(1\right)=\:\left(\frac{1}{10}\right)^1$

$f\left(1\right)=\:\left\frac{1}{10}\right$

So, it is TRUE that when $x = 1$ then the out put will be $f\left(1\right)=\:\left\frac{1}{10}\right$

Therefore, the statement that '' The graph contains $\left(1,\:\frac{1}{10}\right)$ '' is TRUE.

Analyzing option B)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The range of the function is the set of values of the dependent variable for which a function is defined.

$\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k$

$k=0$

$f\left(x\right)>0$

Thus,

$\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}$

Therefore, the statement that ''The range of $f(x)$ is $y > \frac{1}{10}$ " is FALSE

Analyzing option C)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The domain of the function is the set of input values which the function is real and defined.

As the function has no undefined points nor domain constraints.

So, the domain is $-\infty \:$

Thus,

$\mathrm{Domain\:of\:}\:\left(\frac{1}{10}\right)^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Therefore, the statement that ''The domain of $f(x)$ is $x>0$ '' is FALSE.

Analyzing option D)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

As the base of the exponential function is less then 1.

i.e. 0 < b < 1

Thus, the function is decreasing

Also check the graph of the function below, which shows that the function is decreasing.

Therefore, the statement '' It is always increasing '' is FALSE.

Keywords: function, exponential function, increasing function, decreasing function, domain, range

Learn more about exponential function from brainly.com/question/13657083

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4 years ago

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Solve. write your answer in interval notation <br>|2x+7|+9>20

makvit [3.9K]

This is my answer. Check it

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4 years ago

What is the first step in dividing 18.4 divided by 0.2

Sati [7]

It is d, you first have to see how many times 0.2 goes into 18

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3 years ago