PLEASE ANSWER THIS ASAP !!!

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: 5

Step-by-step explanation: yes count up

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:

-18

Step-by-step explanation:

-3d  -3(6)=-18

Answer:

2 g/cm3

Step-by-step explanation:

D=m/V

D=12g/6 cm3

D=2 g/cm3

Answer:

2g/cm3

Step-by-step explanation:

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: (y + 3) = -1/3 (x - 2)

Step-by-step explanation:

Point-slope form has the form of

y - y1 = m (x - x1)

Where

y1 is the y-value of a point on the line

x1 is the x-value of a point on the line

m is the slope of the line

The problem already gives a point on the line, (2, -3)

(y + 3) = m (x - 2)

Remember to put the opposite value of the x and y values. (In other words, do NOT write (y - 3) = m (x + 2) )

The slope of a perpendicular line is the opposite reciprocal of slope of the line it is perpendicular to. The perpendicular line given in the equation is

3x - y = 4

When rearranged to slope-intercept form, we get

y = 3x - 4

Meaning the slope of the perpendicular line is 3. The opposite reciprocal of positive three is negative one-third. Therefore, the slope of the line we are solving for is -1/3.

Answer:

The answer is 135 + 1/2x = 143 - 1/4x

Step-by-step explanation:

Answer:

110 pounds of peaches should be ordered

Step-by-step explanation:

Here, we want to calculate the number of pounds of peaches to order.

Let the number of peaches to ordered be x peaches

Now, since 9% is expected to be bad, then the percentage expected to be good will be 91%

Thus;

91% of x = 100

91/100 * x = 100

91x = 100 * 100

x = 10000/91

x = 109.89

Since we cannot have fractional peaches, then x must be 110

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:

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:

f=2

Step-by-step explanation:

Answer:

f ( x ) = 5

Step-by-step explanation:

Step 1:

f ( x ) = x + 2      Function

Step 2:

f ( x ) = 3 + 2      Input x

Answer:

f ( x ) = 5     Add

Hope This Helps :)

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: 0.17 or not rounded, 0.17175572519.

Step-by-step explanation: 6 x 3 x 2.5 = 45, now we just need to divide 45 by 262, so 45/262 = 0.17175572519, or rounded, 0.17.

Hope this helps! :)

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:

Step-by-step explanation:

So basically since she used 15 orange balloons she would have to use 10 green balloons

Answer:−1.429

I need brainliest

Step-by-step explanation:

Answer:

14 ft

Step-by-step explanation:

50= 2x + 2(x+3)

50= 2x+2x+6

50=4x+6

-6        -6

44=4x

4     4

x=11 (width) +3 =14(length)  

11+11=22   14+14=28     22+28=50

Answer:

yes, they both simplify to 1/2

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.

Answer:

The first column would be (x,y)---> (x,-y)

The second column would be (x,y)---> (x+3, y-8)

The third column would be (x,y)----> (-x,-y)

Then the last column would be (x,y)---> (x-8, y-3)

Answer:

4

Step-by-step explanation:

hi! let's divide -24 and -6 to simplify this. this is the same answer as 24/6 since two negatives that are divided by each other equal a positive number, and 24 divided by 6 is 4, so the answer is 4.

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:

(8+24)÷(12·4)

Step-by-step explanation:

(8+24)= 32

(12·4)= 48

32/48

Simplify

2/3

Answer:

3x=15

Step-by-step explanation:

Answer:

gggggg 4 h5re gedfr

Step-by-step explanation:

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