Show work please 100 points plus brainliest

Answer:

The coordinate pair of the point D that will make AB perpendicular to CD is the D(6, 3)

Step-by-step explanation:

The slope of the given line AB can be presented as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m =\dfrac{-5-4}{2-(-1)} = \dfrac{-9}{3} =-3[/tex]

The slope of a perpendicular line  to a given line is equal to the negative reciprocal of the slope of the given line

Therefore, the slope of the perpendicular to a line that has a slope of m is -1/m

The slope of the perpendicular to the line AB is therefore [tex]-\dfrac{1}{3}[/tex]

From which we get the equation of the perpendicular to the line AB given as follows;

y - 4 = -1/3 × (x - 3)

y - 4 = -x/3 + 1

y = -x/3 + 1 + 4

y = -x/3 + 5

When x = 6, y = -6/3 + 5 = 3

Therefore, the coordinate pair of the point D that will make AB perpendicular to CD is the D(6, 3).

Using the slope concept, it is found that the coordinate pair is:

[tex]D\left(x, \frac{x}{3}+9\right)[/tex]

The slope of a coordinate pair [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the change in y divided by the change in x, that is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

If two segments are perpendicular, the multiplication of their slopes is -1.

For segment AB, the slope is:

[tex]m = \frac{-5 - 4}{2 - (-1)} = -\frac{9}{3} = -3[/tex]

At segment CD, we want that:

[tex]-3m = -1[/tex]

[tex]m = \frac{1}{3}[/tex]

Considering D(x,y), we have that:

[tex]\frac{y - 4}{x - 3} = \frac{1}{3}[/tex]

Writing y as a function of x:

[tex]x - 3 = 3(y - 4)[/tex]

[tex]3y - 12 = x - 3[/tex]

[tex]3y = x + 9[/tex]

[tex]y = \frac{x}{3} + 9[/tex]

Thus, the coordinate pair is:

[tex]D\left(x, \frac{x}{3}+9\right)[/tex]

A similar problem is given at https://brainly.com/question/24144915

Answer:

6.125

Step-by-step explanation:

Divide 24.50 by 4!

Answer:

$6.13 for each basket.

Bonus: $61.30 for ten baskets.

Step-by-step explanation:

To solve this, we would divide the $24.50 by four, because there are four baskets. We now know that she paid $6.13 (rounded from $6.125) for each basket. To solve for 10 baskets, you would take the price per basket of $6.13 and multiply it by ten, resulting in $61.30 for all ten baskets.

Hope this helps!

Answer:

-2/5

Step-by-step explanation:

-4/5÷2/1

-4/5×1/2

=-2/5

-2/4

I got it right on edgen

Answer:

c = -4

Step-by-step explanation:

16 = 4 - 3c

subtract 4 from each side

16-4 = 4-4 - 3c

12 = -3c

Divide each side by -3

12/-3 = -3c/-3

-4 =c

Answer:

i think it’s 58

Step-by-step explanation:

Answer:

0.07142857142

Step-by-step explanation:

used  a calculator

Answer:

126.14

Step-by-step explanation:

it's not 5.578 uu welcome

Answer:

7/10

Step-by-step explanation:

For a person to use at least two of the facilities means they can use the three facilities as well.

Let n(U) be the total people in the sport centre = 100

n(G) be people that uses gym = 67

n(S) be people that uses swimming pool = 62

n(T) be people that uses track = 56

n(GnP) be gym and pool = 38

n(PnT) be people that use the pool and the track = 31

n(GnT) be people that use the gym and the track = 33

n(GnPnT) be people that use all three facilities = 16

People that uses gym and pool only = n(GnP) - n(GnPnT)

= 38-16

= 22

People that uses pool and track only = n(PnT) - n(GnPnT)

= 31-16

= 15

People that uses gym and track only = n(GnT) - n(GnPnT)

= 33-16

= 17

Total people that uses at least 2 facilities = 16+22+15+17 = 70

Probability that this person uses at least 2 facilities = Total people that uses at least 2 facilities/Total people in the sport centre

Probability that this person uses at least 2 facilities = 70/100 = 7/10

Answer:

6° and acute angle

you watch the clock or find a clock, in right angle there 90° or 3 o'clock, if you want to understand it, try to count the the minute from 12 to 3 in the clock, if you count it then you see the are there is 15 minutes, then the 90° divide the number of minute which is 15, the answer is 6°. and then the answer of the next question is acute angle it is because the hour hand of the clock travels in 1 minute, it means every 1minute there are 6°, and 6° is less than 90° that why it's acute angle.

Answer:

49/52

Step-by-step explanation:

Hope I helped GL!

Answer:

a is b is c

Step-by-step explanation:

x is = as is a to b then a c 4 days is c

Answer:

[tex]12 + 2x + 1 = 90 \\ 12 + 1 + 2x = 90 \\ 13 + 2x = 90 \\ 2x = 90 - 13 \\ 2x = 77 \\ x = 38.5[/tex]

this is the best I can try to do

Answer:

35 Men were in the dance recital

Step-by-step explanation:

The ratio from MEN to WOMEN is 5:7

49 female performers is 7

49/7= 7 performers

to find how many men, you would do 7*5

7*5= 35

35 Men were in the dance recital

Hope this helps and made sense!

Answer:

x2 + 12x + 4x + 48

Step-by-step explanation:

i just took the assignment

Answer:

x2 + 12x + 4x + 48

Step-by-step explanation:

this is correct i took the quiz its c

Answer:

225 wpm

Step-by-step explanation:

Ok, I'm gonna solve it as I type this:

So you know that she types 27k words in two hours so you can divide it by 2 to get the words per hour. 27000 divided by 2 is equal to 13500 or also 13.5k.

Now you know the hours, you can divide that by 60 to get the words per minute since there are 60 words per hour.

You get 225 words. (That is a very fast speed lol I do 140)

So 225 words per minute.

Answer:

In order to find the slope, you need to find the difference in the x values and the difference in the y values. To do this, you write out y2-y1/x2-x1, insert your x and y values, and get your answer. Then, you find your y-intercept (where the x value is 0).

Answer:

Sample Answer

Step-by-step explanation:

Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.

I really hope this helps ☺️

Answer:

Step-by-step explanation:

5y + 1

Putting value of y

5(6) + 1

= 30 + 1

= 31

Answer:

(8+24)÷(12·4)

Step-by-step explanation:

(8+24)= 32

(12·4)= 48

32/48

Simplify

2/3

Answer:

NO

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

[tex]\frac{4}{28}-\left(10+\left(3+1\right)x\cdot \:2\right)=-8x-\frac{69}{7}[/tex]

Answer:

y=2/3x-3

Step-by-step explanation:

first, you have to isolate the y, so subtract 2x from both sides. -3y=-2x+9

Next, we must divide all sides by -3, so y=-2/-3x-3

Finally, simplify the equation to y=2/3x-3

Answer:

y=mx+b

y=2/3x + -3

2/3 is the slope  points are (0,-3)

Step-by-step explanation:

2x-3y =9

subtract 2x from each side leaving it -3y = -2x +9

now divide both sides by -3                 -3y/-3=-2x/-3 +9/-3

                                                                      y= 2/3+ -3

Answer:

less than 4

Step-by-step explanation:

the closest perfect square root to 15 is the square root of 16, which produces the number 4. since 16 is greater than 15, the value of the square root of 15 is less than 4.

hope this helps!

Answer:

yes, they both simplify to 1/2

Answer:

24.5 so 24 and a half .....

Answer:it would be even i think

Step-by-step explanation:

please give me brainliest if   im right

Answer:

D on edg

Step-by-step explanation:

Answer:d on ed

Step-by-step explanation: