Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by - 7x + 2y = 14?

9514 1404 393

Answer:

  C.  Reflecting over the y-axis and then translating to the right 8 units

Step-by-step explanation:

Reflection over the line x=4 gives you the transformation ...

  (x, y) ⇒ (2·4 -x, y) = (-x +8, y)

This is precisely the same transformation you get by reflection over the y-axis:

  (x, y) ⇒ (-x, y)

followed by translation to the right 8 units:

  (-x, y) ⇒ (-x +8, y)

__

Reflection over x=4 is the same as reflection over y and translation right 8.

Answer:

√130

Step-by-step explanation:

_______________________

Answer:

first option

Step-by-step explanation:

the working is reallly long im lazy to type hehe sorry

Answer:

Option A

Hope this helps! :)

Answer:

isosceles triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The first ? is positive, second ? is even.

Step-by-step explanation:

There is 4 negative factors. 4 is an even number. When there is an even amount of negative factors, the anwser is always even.

The complete statement is;

The product is Positive because there is an even number of negative factors.

Here;

The mathematical expression is,

18 (–24) (- 5) (-101) (- 7)

We have to complete the statement.

What is Product of number with negative sign?

If the number of negative factor is odd then sign of product is negative and if the number of negative factor is even then sign of product is positive.

Now,

The mathematical expression is,

18 (–24) (- 5) (-101) (- 7)

Value of 18 (–24) (- 5) (-101) (- 7)  = 1,527,120

Hence, The product is Positive because there is an even number of negative factors.

Learn more about the product visit:

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#SPJ2

Answer:

{0, 1, 2, 3, 4, 5,....} ;

{0, 1, 2, 3} ;

Step-by-step explanation:

Number of insect on a randomly selected plant

The number of insect in such an experiment will be an integer value ;

Hence, sample space will be ;

{0, 1, 2, 3, 4, 5,....}

B.) Event of at most three insects:

Number of insects = 0 ;

Number of insect = 1 ;

Number of insect = 2 ;

Number of insect = 3 ;

n ≤ 3 {x : x ≤ 3}

{0, 1, 2, 3}

3.)

Each possible outcome in the sample space cannot be equally likely due to the fact that the number of insects on the selected plants will vary. With some plants having none to large number of insects while some have small amount of insects.

Answer:

m<1 = 62°

m<2 = 45°

m<3 = 24°

Step-by-step explanation:

Hi!

Let me walk you through it!

The first step is to find angle 1.

Angle 1 is supplementary with the angle 118°

So we do 180° - 118° = 62°

m<1 = 62°

Then we find angle 2.

There are two ways to do this

The sum of interior angles in a triangle is 180°

So we do 180° - (73 + 62°)

Open parenthesis:

180° - 73° - 62° = 45°

You can also use the exterior angle theorem

118° = 73° + m<2

Same to both sides:

45° = m<2

So

m<2 = 45°

Now, using this information, we can find angle measure 3.

Now we look at the big triangle. Again, there are two ways to do this.

First way:

m<1 + 49° + m<2 + m<3 = 180°

Plug in known-values

62° + 49° + 45° + m<3 = 180°

Combine like terms:

156° + m<3 = 180°

Same to both sides:

m<3 = 24°

Second way:

Exterior angle theorem.

118° = m<2 + m<3 + 49°

Plug in known-values:

118° = 45° + m<3 +49°

Combine like terms:

118° = 94° + m<3

Same to both sides:

24° = m<3

So m<3 = 24°

There you go! You just need to take it step-by-step and you can get the answer. Be open-minded, don't just try to go for a certain angle, see what you can do, and work from there. It all comes together at the end.

Let me know if you have any questions, have a good day!

Answer:

The average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.

Step-by-step explanation:

Answer: 150% sugar

Step-by-step explanation: Make a proportion.

Answer:

[tex]x=2.3\text{ only }[/tex]

Step-by-step explanation:

We are given the second derivative:

[tex]g^\prime^\prime(x)=0.1x^5-0.29x^4-0.694x^3+1.9136x^2[/tex]

And we want to find the values for -3 < x < 4 in which the graph of g has a point of inflection where the concavity changes from concave up to down.

First, recall that inflection points occur whenever g''(x) = 0 or is undefined.

And that:

Graphing the function (please refer below for the graph), we can see that g''(x) has an inflection point at x = -2.6, 0, 2.3, and 3.2.

If g''(x) changes from concave up to concave down, the values before and after that inflection point must be positive and then negative.

We can see that g''(x) is only positive for the values before the inflection points at x = 0 and x = 2.3.

However, for values after the inflection points, only x = 2.3 becomes negative.

Therefore, since at x = 2.3, the graph changes from positive to negative, this is where the graph of g changes from concave up to concave down.

Notes:

For the point x = 0, the graph stayed positive both before and after x = 0.

Therefore, g does not have an inflection point at x = 0.

Answer:

BD is just equal to the sum of BC and CD.

So we have: BD = x + x + 5

Simplifying, we have BD = 2x+5

Let me know if this helps!

Answer:

-24

Step-by-step explanation:

12(-2)+5(3)-15

-24+15-15

-24+15

-9-15

= -24

Answer:

Step-by-step explanation:

100-25<= 7.5x

x >= 10

Answer:

Responsability+nopartyscapes=200$!!!!

Step-by-step explanation:

Answer:

Answer: (8,12) Third option

Step-by-step explanation:

Equivalent Ratios

Nardia plotted some points showing equivalent ratios. The points shown in the graph are: (2,3), (4,6), (10,15)

The ratios of the points in the form y:x are:

[tex]\frac{3}{2}[/tex]

[tex]\frac{6}{4}=\frac{3}{2}[/tex]

[tex]\frac{15}{10}=\frac{3}{2}[/tex]

Note all the ratios are equivalent.

From the ordered pairs provided in the choices, only one of them has the same ratio y:x.

Point (12,8) has a ratio:

[tex]\frac{12}{8}=\frac{3}{2}[/tex]

Answer: (8,12) Third option

Answer:

I think a

Step-by-step explanation:

Answer:

P = 7

Step-by-step explanation:

We have 21 total cards and out of those 21 cards, 14 of those are birthday cards. So that means that the amount of cards that are not birthday cards is the number of cards subtracted by the number of birthday cards, also shown as 21 - 14. So 21 - 14 = P, so now we solve what 21 - 14 is which is 7, so that means P = 7.

Let me know if you have any questions.

Answer:

12

Step-by-step explanation:

Answer:

1e+18

Step-by-step explanation:

3 years: 1,591.81 or 1,592

4 years: 1,623.65 or 1,624

Answer:

(a) 14

this is what i got

Answer: -26/15

Step-by-step explanation:

8+7 cause f(x) is 8

Answer:

The z score for your flight's taxi time is of 2.14.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.

This means that [tex]\mu = 15, \sigma = 1.4[/tex]

On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.

This is Z when [tex]X = 18[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 15}{1.4}[/tex]

[tex]Z = 2.14[/tex]

The z score for your flight's taxi time is of 2.14.

You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.

The z score for our flight's taxi time is approx 2.14286

Suppose you  have got a normal distribution variate with mean  [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have

[tex]X \sim N(\mu, \sigma)[/tex]

To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:

[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

For the given case we have:

Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,

[tex]X \sim N(15, 1.4)[/tex]

Converting it to standard variate:

[tex]Z = \dfrac{X - 15}{1.4}[/tex]

Since the observed taxi time was 18 minutes, thus, we have X = 18,

Getting the z score:

[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]

Thus,

The z score for our flight's taxi time is approx 2.14286

Learn more here about normal distribution here:

brainly.com/question/14989264

Answer:

The equation in Point-slope form of a line that has a slope of 3/4 and passes through the point (-4, -12) is:

[tex]y+12=\frac{3}{4}\left(x+4\right)[/tex]    

The graph of the equation line is also attached below.    

Step-by-step explanation:

Given

To determine

We have to determine the equation in Point-Slope Form.

We know that the Point-slope form of a line equation is defined as

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case:

substituting the values m = 3/4 and the point (x₁, y₁) = (-4, -12) in the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-12\right)=\frac{3}{4}\left(x-\left(-4\right)\right)[/tex]

Apply rule:  [tex]-\left(-a\right)=a[/tex]

[tex]y+12=\frac{3}{4}\left(x+4\right)[/tex]    

Therefore, the equation in Point-slope form of a line that has a slope of 3/4 and passes through the point (-4, -12) is:

[tex]y+12=\frac{3}{4}\left(x+4\right)[/tex]    

The graph of the equation line is also attached below.