Using the discriminant, fdetermine the number of real solutions. <br> 2x^2+7x-15=0

Line L is mapped onto line m by a dilation centered at the origin with a scale factor of 2/5. Line m is represented by y=2x+10 a

Alinara [238K]

Dilating a line changes the size of the line.

The true statement is <em>(c) Line L passes through the origin</em>

The scale of dilation is given as:

$\mathbf{k = \frac 25}$

The scale represents the slope of line L.

The equation of line M is:

$\mathbf{y = 2x + 10}$

From the above equation, the slope of line M is:

$\mathbf{m = 2}$

The two lines do not have the same slope.

<em>This means that, the lines are not parallel and they are not the same line.</em>

<em />

For the two lines to be perpendicular, then the relationship between their slopes is:

$\mathbf{m = -\frac 1k}$

The above is false, because:

$\mathbf{2 \ne -\frac 52}$

Hence, the true statement is <em>(c) Line L passes through the origin</em>

<em />

Read more about dilations at:

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4 0

3 years ago

Read 2 more answers

Help this is due tomorrow

nlexa [21]

Answer:

n = 1.40 (second option)

8 0

3 years ago

Read 2 more answers

A box holds 8 red and 4 blue beads. Three beads are taken from the box and not replaced. Determine: The probability that all thr

zubka84 [21]

Answer: $\dfrac{14}{55}, \dfrac{13}{55}$

Step-by-step explanation:

Given

There are 8 red and 4 blue beads

Three beads were taken from the box

(i)No of ways of choosing three red beads out of 12 beads is $^8C_3$

Total no of ways $^{12}C_3$

Probability is

$P=\dfrac{^8C_3}{^{12}C_3}=\dfrac{8\times 7\times 6}{12\times 11\times 10}=\dfrac{2\times 7}{11\times 5}\\P=\dfrac{14}{55}$

(ii)atleast two beads refers to minimum two beads

There can be two possibilities (2B,1 R), (3B, 0R)

$\Rightarrow P=\dfrac{^4C_2\times ^8C_1}{^{12}C_3}+\dfrac{^4C_3}{^{12}C_3}\\\\\Rightarrow P=\dfrac{6\times 8}{220}+\dfrac{4}{220}=\dfrac{52}{220}\\\\\Rightarrow P=\dfrac{13}{55}$

6 0

3 years ago

Select the number line that correctly shows the calculation for |−5|. PLEASE HELP ME

dybincka [34]

Answer: the first one.

Step-by-step explanation:

because distance on a number line will always be positive. :D

4 0

4 years ago

B) How many more 18-year

Nesterboy [21]

The number if 18-year old 12-year old students that took part in the survey is 320.

The number of more 18-year old students than 12-year old students that spent between 25 and 35 mins on social media is 20.

<h3>What is the survey about?</h3>

Looking at the survey chart one can see that the total number of 18year old that partook of the survey are:

30 + 20 + 60 + 70 + 40 + 60 + 40

= 340

From the diagram , 18 year old = 60

12 year old = 40

The differences will be:

= 60 - 40

= 20

Therefore, The number if 18-year old 12-year old students that took part in the survey is 320 and the number of more 18-year old students than 12-year old students that spent between 25 and 35 mins on social media is 20.

Learn more about social media from

brainly.com/question/16180558

#SPJ1

3 0

2 years ago

Using the discriminant, fdetermine the number of real solutions. 2x^2+7x-15=0