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3 years ago

What is the slope of the line represented by the values in the table?

Mathematics

2 answers:

Lady bird [3.3K]3 years ago

7 0

Solution:

Slope of line joining two points ,

$(x_{1},y_{1}) ,(x_{2},y_{2}) , is =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Take any two points that is , ordered pairs =(abscissa and Ordinate ), among four points given,suppose , (10,14) and (2,-2) or (2,-2) and (7,8).

$=\frac{14+2}{10-2}\\\\=\frac{16}{8}=2 {\text{or}}, \frac{8-(-2)}{7-2}\\\\=\frac{10}{5}=2$

So, if you choose any two distinct ordered pairs and find the slope between them using slope between two points , it will be equal to , 2.

Option D: 2

xxTIMURxx [149]3 years ago

6 0

The answer is d 2 OK.

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Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.

jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .

Substitute these two values into the equation for this parabola:

$7 = (7 - 6)^{2}\, a + 5$ .

Solve this equation for $a$ :

$7 = a + 5$ .

$a = 2$ .

Hence, the equation of this parabola would be:

$y = 2\, (x - 6)^{2} + 5$ .

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2 years ago

consider the diagram points a and alarm straight line points PNC loan a straight line and point B and D lie on a straight line d

katrin2010 [14]

Answer:

false

Step-by-step explanation:

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3 years ago

Which list shows the integers in order from lest to greatest ? -8 , -5 , 0 , 2 , 6 0 , 2 , -5 , 6 , -8 -5 , -8 , 0 , 2 , 6 0 , -

Elina [12.6K]

Answer:

a.-8,-5,0,2,6

Step-by-step explanation:

We have to find the list which shows the integers in order from least to greatest.

We know that when we left side of zero on a number line then the values decrease and we go right side of zero then the value increases.

a.-8,-5,0,2,6

-8<-5<0<2<6

Hence, it is true.

b.0,2,-5,6,-8

-8 least and 6 is greatest

Therefore, it is false.

c.-5,-8,0,2,6

It is false.

d.0,-8,-5,2,6

It is false.

Option a is true,

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2 years ago

A picture frame is 4 inches taller than it is wide and has an area of 192 square inches. What are the dimensions of the picture

Masteriza [31]

Answer: width is 12, length is 16

Step-by-step explanation:

A= l*w

l=w+4

A=w(w+4)

$A=192\\192=w^{2} +4w\\0=w^{2} +4w-192$

factor

(w+16)(w-12)

w= -16 or w=12

width is 12, length is 16

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2 years ago

In which of the following situations would the use of sampling be most appropriate?Multiple Choice

pishuonlain [190]

Answer:

The use of sampling would be best in the following situation:

a. The need for precise information is less important.

Step-by-step explanation:

Sampling:

It is such a process of analysis in which we divide a large proportion of data into smaller proportions called samples to determine the characteristics of that data.

The option a is correct as in sampling, we take a smaller proportion from a large pool of data so when the precise information is less important, it is a good way to use sampling.
The option b is not correct as the number of items comprising the population is always large.
The option c is not correct as the likelihood of selecting a representative is relatively not small rather it is large.
The option d is incorrect as the use of sampling is not appropriate in all of these situations.

5 0

3 years ago