For questions 3 and 4, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will enter into the blank 1,860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,698.90 ​

Using the midpoint concept, it is found that:

The midpoint of a line segment is given by the mean of the coordinates of it's endpoints.

For the first segment, which endpoints [tex](2, \sqrt{3})[/tex] and [tex](-6, 5\sqrt{3})[/tex]:

[tex]x_M = \frac{2 - 6}{2} = -2[/tex]

[tex]y_M = \frac{\sqrt{3} + 5\sqrt{3}}{2} = 3\sqrt{2}[/tex]

The midpoint is [tex](-2, 3\sqrt{2})[/tex]

For the second segment, which endpoints [tex]\left(-\frac{5}{3}, \frac{2}{5}\right)[/tex] and [tex]\left(\frac{1}{3}, \frac{3}{2}\right)[/tex]:

[tex]x_M = \frac{-\frac{5}{3} + \frac{1}{3}}{2} = -\frac{4}{6} = -\frac{2}{3}[/tex]

[tex]y_M = \frac{\frac{2}{5} + \frac{3}{2}}{2} = \frac{\frac{4 + 15}{10}}{2} = \frac{19}{20}[/tex]

The midpoint is [tex]\left(-\frac{2}{3}, \frac{19}{20}\right)[/tex]

A similar problem is given at https://brainly.com/question/24352869

Answer:

can't see the equation sorry

Answer:

Subtraction Property of Equality

Step-by-step explanation:

Victor solved this inequality as shown:

Given: 6+3(x+5) = 36

Step 1: 6+3x+15 = 36

Step 2: 3x+21= 36

Step 3: 3x = 15

Step 4: 3x=15

What property justifies the work between step 3, I'm guessing its this question if not message me.

from step 2 to 3 we must use Subtraction Property of Equality since

3x+21 = 36 must subtract 21 both sides

then u get 3x=15

The answer is a measure of gravitational force

Answer:

30 because negative x negative = a positive number

Answer:

s

Step-by-step explanation:

46.6 feet

Step-by-step explanation:

P = 2ℓ + 2w

P = 2(ℓ + w)

P = 2(15.5 + 7.8)

P = 2(23.3)

P = 46.6 feet

Answer:

value of? please include whole question

Step-by-step explanation:

2)

Rectangle has side 5 cm so one side of triangle will be 5cm

area of triangle is = 1/2lb

= 1/2 5*4

=10 cm^2

area of rectangle is l*b = 5*3= 15 cm^2

are of the shape is 10+ 15= 25 cm^2

Area of rectangle is 6*8 = 48 m^2

Area of triangle is = 1/2 *8*2= 8 m^2

area of the shape is 48+8= 56m^2

Answer:

(x - 2) (x + 5)

Step-by-step explanation:

Hope this helps!

Answer:

a=19

Step-by-step explanation:

8=1/3(a+5)            by dividing both sides by 1/3

24 = a+5              get 5 to other side with oposite sign

24-5 = a

a = 19

Answer:

a = 19

Step-by-step explanation:

8 = [tex]\frac{1}{3}[/tex] ( a + 5) ← multiply both sides by 3 to clear the fraction

24 = a + 5 ( subtract 5 from both sides )

19 = a

Answer:

22.5

Step-by-step explanation:

The required Distribution, selection and probability is X to U(4,11), x to N (7.5, 0.3415) and 0.87932 respectively.  

(a) Distribution of X is uniform distribution  X to U(4,11).

(b) Sample size (n) = 35, distribution of mean would be moderate with value = (4+11)/2 = 7.5

Standard deviation = √ [(11-4)^2/(12*35] = 0.3415
Now
x to N (7.5, 0.3415)

(c) We have to find probability that the average of 35 numbers will be less than 7.9.

P(x < 7.9) = P(x < 7.9; 7.5; 0.3415)
Z = (7.9 -7.5)/0.3415
Z = 1.1713
P(x< 7.9)= P(Z < 1.1713)= 0.87932.

Thus, The required Distribution, selection and probability is X to U(4,11), x to N (7.5, 0.3415) and 0.87932 respectively.  

Learn more about probability here:

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Answer:

-2 / 25 + (11 / 25) i

Step-by-step explanation:

Hope this helps :)

Answer:

a line graph

Step-by-step explanation:

they can make u easily see the rise and fall throught the years and it is easy to see ur data. historgrams are grouped into number ranges and bar graph are used to compare different categories.

Answer:

Step-by-step explanation:

Rotate 180 degrees about the origin

X(x,y) ====> X'(-x,-y)

K(-5 , - 9) = K ' (- -5, - - 9)

K' (5,9)

3 Units Left.

y is unchanged.

x becomes x - 3

K'(5,9) ===>k" (5 - 3,9)

k"(2,9)

The leftward motion does not look done the same way as moving a parabola left. But you are just changing the x value to move a point left. You are not imposing other rules on the figure.

Answer:

x=-125/24

Step-by-step explanation:

(6x+10)+(-10-30x)=(30x+135)+(-10-30x)

(6x+10)+(-30x-10)=(30x+135)+(-30x-10)

6x+10-30x-10=30x+135-30x-10

6x-30x+10-10=30x-30x+135-10

-24x=125

24x/24=-125/24

x=-125/24

Answer: 2.5 yards

Step-by-step explanation: Divide the inches value by 36.    90/36 = 2.5

Answer:

I am not entirely sure but I think it is 1.

Step-by-step explanation:

Don't quote me on this though. Please tell me if I am wrong.

Answer:

2/3

Step-by-step explanation:

Find a two coordinates on the line such as (20,40) and (50,60)

plug it into the slope formula m= y2 - y1 / x2- x1

it doesn't matter what way you plug them in

m = slope

m = 60-40 / 50 - 20 = 20/30 = 2/3

The slope is 2/3 I simplified 20/30 by dividing by 10

hope this helped

9.33 +

0.66

9.99

It snowed 9.99 inches on Monday and Tuesday combined

Answer:

212=70+(m X 0.40)

If $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Cost of car rent per day for 100 miles = $70

Additional cost per mile = $0.40

Let m = number of miles driven

Total cost for one day rental = $212

The equation that represents the additional m = miles driven for a day that cost $212 is:

212 - 70 = 0.40m

142 = 0.40m

m = 142 / 0.40

m = 355

This means 355 additional miles were driven.

The number of miles driven for the day is:

= 100 + 355

= 455 miles

Thus if $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.

Learn more about equations here:

https://brainly.com/question/13906726

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Step-by-step explanation:

example:

Answer:

5 : 6

Step-by-step explanation:

The ratio of apples to oranges is 5 : 2 = 5x : 2x ( x is a multiplier )

There are 18 more apples than oranges , that is

5x = 2x + 18 ( subtract 2x from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

There are 5 × 6 = 30 apples and 2 × 6 = 12 oranges

The number of oranges is increased by 24, to 12 + 24 = 36 , then

30 apples : 36 oranges ( divide both parts by 6 )

= 5 : 6

Answer:23/18

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

cuz

Answer:

x=8/7

2x times 7 divided by 2 = 8

solve for x

Step-by-step explanation:

2x ×7/2 =8

2x =8×2/7

x=8×2/2×7

x=8/7 or 1⅐.

hope this helps you.

Answer:

17,453.30 feet

Step-by-step explanation: