Hello! Would appreciate some help. :)

Given this number line, CD=?

Answer:

[tex]k =(2,1)[/tex]

[tex]JK = 2[/tex]

Step-by-step explanation:

Given

[tex]J = (0,1)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]H = (1,-2)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]I = (3,-2)[/tex] --- [tex](x_3,y_3)[/tex]

See attachment for grid

Solving (a): The coordinates of K

The parallelogram has the following diagonals: IJ and HK

Diagonals bisect one another. So:

Midpoint of IJ = Midpoint of HK

This gives:

[tex]\frac{1}{2}(I + J) = \frac{1}{2}(H+K)[/tex]

[tex]\frac{1}{2}(x_3+x_1,y_3+y_1) = \frac{1}{2}(x_2+x,y_2+y)[/tex]

[tex]\frac{1}{2}(3+0,-2+1) = \frac{1}{2}(1+x,-2+y)[/tex]

[tex]\frac{1}{2}(3,-1) = \frac{1}{2}(1+x,-2+y)[/tex]

Multiply through by 2

[tex](3,-1) = (1+x,-2+y)[/tex]

By comparison:

[tex]1 + x = 3[/tex]

[tex]-2 + y = -1[/tex]

Solve for x and y

[tex]x = 3 - 1 =2[/tex]

[tex]y = -1 +2 = 1[/tex]

So, the coordinates of k is:

[tex]k =(2,1)[/tex]

The length of JK is calculated using distance (d) formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

[tex]J = (0,1)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]k =(2,1)[/tex] ---- [tex](x_2,y_2)[/tex]

So:

[tex]d = \sqrt{(0 - 2)^2 + (1 - 1)^2[/tex]

[tex]d = \sqrt{(- 2)^2 + (0)^2[/tex]

[tex]d = \sqrt{4 + 0[/tex]

[tex]d = \sqrt{4[/tex]

[tex]d = 2[/tex]

Hence:

[tex]JK = 2[/tex]

Step-by-step explanation:

sec X = WX/XY = 37/12 = 3 1/12

or 3.083

Answer:

12

Step-by-step explanation:

This is because 2, 3, and 4 can all go into the number and it is the smallest of the ones listed.

Answer: 24

Step-by-step explanation:

1/2 x 12 = 12/24

2/3 x 8 = 16/24

3/4 x 6 = 18/24

Each number can be multiplied by "x" to get a denominator of 24.

Answer:

11n611  and -n6-n6

Step-by-step explanation:

Answer:

$17499.25

Step-by-step explanation:

349,985*0.05=17499.25

Answer:

72 words per minute

Step-by-step explanation:

[tex]\frac{1}{y}= \frac{42}{3024}[/tex]

42 × y = 1 × 3024

42y = 3024

42y ÷ 42 = 3024 ÷ 42

y = 72

Answer:

-0.0056

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/scientific-notation-converter.php

Answer:

A=1/2 ×1.0×2.4=1.2m² is a required answer

Answer:

1a) = 5

1b) = 4

2a)

A = 1/2 x 2.4 x 1.0

A = 1/2 x 2.4

A = 1.2 m²

Step-by-step explanation:

Step-by-step explanation:

Note 12 is the difference between the numbers..

hope it helps

Answer:

The slope or rate of change is 8

Step-by-step explanation:

There isn't much to explain, sorry! I hope this helps!

Answer: D) From attacks by other nations

Step-by-step explanation:

Answer: D. from attacks by other nations.

Step-by-step explanation:   TRUST ME!!! Answer correct on Edge!  :)

Answer:

(2,0)

Step-by-step explanation:

2x-y=4 equation 1

3x+y=6 equation 2

5x=10 eliminate y by adding equations

x=2

solve for y

2x-y=4

2(2)-y=4

4-y=4

-y=0

y=0

check answer:

3x+y=6

3(2)+0=6

6=6

Answer:

lateral surface area of cone =πrl

Answer

m<a  is 90 and m<b is 40 i don't know which one is da base but i'd go with 40?

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

80 divided by 2 is 40 and the formula is L times W times Height and the height is 2 so the base is 40 B times H

It's 40

Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of students who climbs the rock wall is 4.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The total number of students in the class is 48, out of these 48 students, 24 students choose to play volleyball. Therefore, the remaining students are 24 (48-24).

Students remaining after volleyball

  = Total number of students - Number of students who play volleyball

  = 48 - 24 = 24

Now, The teacher then divides the remaining students into as many groups of 5 as possible to shoot baskets. Therefore, the teacher divides the remaining 24 students into 4 groups of 5 people. After this, the number of students that are remaining is 4(24-20).

Students remaining after basketball

  = Total number of students - Number of students who shoot basketball

  = 24 - (4x5)

  = 24 - 20 = 4

Further, the remaining students go for climbing the rock wall.

Hence, the number of students who climbs the rock wall is 4.

Learn more about Subtraction:

https://brainly.com/question/1927340

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Answer:

150+93=241

Step-by-step explanation:

I'm not sure if this is correct but i guess because she got 95 and deposited it into her checking she has 95 and judging on if she spent 2 dollars from her savings or checking i assumed it was savings which leaves it with 148 from 100 after depositing 50 - 2 = 148 so basically

edit: nvm i saw the note now im sure but something i dont understand is that if she made 95 how come the answer choices dont say 93 in checking so im guessing you meant 150+43=193

193 is your answer sorry lol took me a while to work this out or Answer choice C

Answer:

hey there buddy

Step-by-step explanation:

Answer:

2(x+3)(x-1)

Step-by-step explanation:

Because 2x^2+4x-6 can be divided by 2, you can divide them by two. This would make the equation 2(x^2+2x-3). To factor this, you have to find two equation that would make it true. The equation have to be _+_=2 and _x_=-3. The two blanks would be 3 and -1. 3+-1=2 and 3x-1=-3. This means that the equation is 2(x-1)(x+3).

If you need an explanation tell me but if this answer helped you, pls mark as brainliest

Answer:

12/2.54 ≈ 4.72 inches

Answer:

options 3 and 4

Step-by-step explanation:

The exponential function f with base a is defined by

f(x) = a^x

so the exponential functions are options 3 and 4

Answer:

c

.......................

Answer:

54.98 sq. ft.

Step-by-step explanation:

The sector has an angle of 360 - 332 = 28

Area of the sector = 28π([tex]15^{2}[/tex])/360

                              = 19792.03372.../360

                              = 54.98 sq. ft.

Answer:

d

Step-by-step explanation:

hope this helps

Answer:

-8.23

Step-by-step explanation:

If Lori had $126.89 in her bank account and she deposited $21.49, she would be adding that to the amount of money in her bank account.

126.89+21.59= 148.48

Then subtract the amount of money the repairs costed.

148.48 - 156.61 = -8.23

Therefore Lori would have a balance of -$8.23.

Answer:

Lori had $126.89 in her bank account.

She deposited $21.49 into it and then wrote a check for her car repairs for $156.61  

126.89+ 21.49=148.38

148.38-156.61=−8.23

the answer is -8.23

The distance from library and the park is 12 miles.

"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".

For the given situation,

Jaime ride her bike in north = 5 miles

Jaime ride her bike in east = 13 miles

The distance from library and the park be x.

The below diagram shows about the Jaime's riding.

The distance from library and the park can be find by using Pythagoras theorem,

[tex]Hypotenuse^{2} = Perpendicular^{2} + base^{2}[/tex]

On substituting the above values,

⇒ [tex]13^{2} = 5^{2}+x^{2}[/tex]

⇒ [tex]x^{2} =169-25[/tex]

⇒ [tex]x^{2} = 144[/tex]

⇒ [tex]x=\sqrt{144}[/tex]

⇒ [tex]x=12[/tex]

Hence we can conclude that the distance from library and the park is    12 miles.

Learn more about trigonometric ratios here

brainly.com/question/9085166

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