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3 years ago

Parallel lines always have the same _____. origins slope y-intercepts x-intercepts

Mathematics

2 answers:

natka813 [3]3 years ago

8 0

The graph below shows two lines that are parallel. As we can see, these lines have equal steepness, meaning they have equal slope

Tatiana [17]3 years ago

8 0

Answer:

Parallel line have the same slope.

Step-by-step explanation:

Parallel lines are those lines which never intersect each other and distance between these two lines is always equal.

Now, if the parallel lines have same origin, x-intercepts and y -intercepts then it will intersect and these points which contradicts the definition of parallel lines.

Therefore, we can say that parallel lines have the same slope.

Hence, second option is correct.

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15 points to whoever answers correct

Pepsi [2]

<u>Answer</u>

C. 4 + 6

D. 3.15151515.. + 4.6

E. √64 × √25

<u>Explanation</u>

A rational number is a number that can be expressed as a quotient or a fraction. That is it can be written as a/b.

π×6 = 6π ⇒ can not be written as a rational number.

√3 + √5 ⇒ the sum of two irrational numbers can not be rational.

4 + 6 = 10. Ten is a rational number. it can be written as 10/1

3.15151515.. + 4.6 = 104/33 + 23/5

= 1279/165

√64 × √25 = 8×5=40 This can be written as 40/1

5 0

4 years ago

Can anyone help me? Which function is graphed on the right?

Kazeer [188]

<h2>Answer:</h2>

$y=2^{\left(x-2\right)}+3$

<h2>Step-by-step explanation:</h2>

To solve this problem, we need to start with the parent function of the exponential function, which is $f(x)=a^x$ , where $a$ is the base. In our problem, $a=2$ , so our parent function here is $y=2^x$ . Then, we need to perform some transformations to our parent function. Thus:

1. Vertical shrink:

A vertical shrink is a nonrigid transformation because the graph of the function get a distortion in the shape, so this transformation is as follows:

$g(x)=cf(x)$

where $c$ in this problem equals 0.25 because:

$y=0.25(2^x) \\ \\ y=\frac{1}{4}(2^x) \\ \\ y=\frac{2^x}{2^2} \\ \\ y=2^{(x-2)}$

2. Vertical shift:

The graph of the function $y=2^{(x-2)}$ get a vertical shift given by:

$y=2^{(x-2)}+3$

So the graph is shifted 3 units up. So the result is the graph shown above.

7 0

3 years ago

Read 2 more answers

Can anyone please help me<br> with this

Veseljchak [2.6K]

Answer

The answer is B

Step-by-step explanation:

6 0

3 years ago

you want to make a scale model of a sailboat that is 51 ft long and 15 ft wide you plan to make the sailboat 17 in long how wide

Strike441 [17]

Answer:

5 in

Step-by-step explanation:

7 0

3 years ago

Suppose a large shipment of laser printers contained 22% defectives. If a sample of size 276 is selected, what is the probabilit

Mrrafil [7]

Answer:

The probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p\\\\$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

The information provided is:

$p=0.22\\n=276$

As the sample size is large, i.e. <em>n</em> = 276 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion.

Compute the value of $P(\hat p-p$ as follows:

$P(\hat p-p$

Thus, the probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

6 0

3 years ago