use a straightedge and a compass to construct a segment of length AB+CD

Step-by-step explanation:

To find the LCM by division method, we write the given numbers in a row separately by commas, then divide the numbers by a common prime number. We stop dividing after reaching the prime numbers. The product of common and uncommon prime factor is the LCM of given numbers.

For example

2 24,12

2 12,6

2 6,3

3 2,1

2 1,1

LCM=2×2×2×3×2

=48

Answer:

-4

Step-by-step explanation:

6(a+(-1)) = 8a + 2

then:

6(a-1) = 8a + 2

6*a + 6*-1 = 8a + 2

6a - 6 = 8a + 2

6a - 8a = 2 + 6

-2a = 8

a = 8/-2

a = -4

Check:

6(-4-1) = 8*-4  +  2

6*-5 = -32 + 2 = -30

Answer: C. x=-8,14

Step-by-step explanation:

C

Answer:

Step-by-step explanation:

                 |x – 3| = 11

(x - 3) = 11                         - (x - 3) = 11

x - 3 = 11                           - x + 3 = 11

 x = 11 + 3                          -x  = 11 - 3

 x = 14                                  -x = 8

                                             x = -8

Answer:

h(-2) = 7

Step-by-step explanation:

Plug in -2 for h in the equation:

h(x) = -3x + 1

h(-2) = (-3)(-2) + 1

Remember to follow PEMDAS. First, multiply, then add:

Multiply. Note that when you multiply two negative numbers, the answer will be positive:

(-3) * (-2) = (3 * 2) = 6

Next, add:

h(-2) = 6 + 1 = 7

h(-2) = 7

h(-2) = 7 is your answer.

~

Answer:3

3

Step-by-step explanation:

Answer:

Three consecutive multiples are 110,121 and 132 which has the sum of 363. 33C = 363; C = 33, By substituting C = 33 in numbers 11C, 11(C – 1) and 11(C + 1) we get values 110, 121, 132.

Answer:

x<700-10

Step-by-step explanation:

I hope that is what you are looking for, the x stands for the number

Answer:

it is an even composite of number

Hello there!

5832 is composite and even

If a number's last digit is 2, 4, 6, 8, or 0 or 5, then the number is composite.

If a number's last digit is 2, 4, 6, 8 or 0, then the number is even.

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Subtract the number at the baseball game from the hockey game:

2058 - 1300 = 758

There was 758 more people at the hockey game.

Answer:

758 more fans were there

Step-by-step explanation:

Difference = Hockey fans - Baseball fans

= 2058 - 1300

= 758

Answer:

b is the write answer

Step-by-step explanation:

10*162

Answer:

C. 16.2cm.

162mm = 16.2cm

Answer: p=8h

Hope this helped

Step-by-step explanation:

We know that 3 cars yielded $13.50

$13.50 / 3 = $4.50 / 1 car

$4.50 * 12 cars = $54.00

$4.50 * 15 cars = $67.50

$4.50 * 20 = $90.00

He'll spend 138.91 dollars.

First multiply 427 and 231 to find out how much square feet you need to cover. Then divide the number by 3500 to see how many bags of fertilizer you need. Since there is a remainder, he'll have to buy another bag. Then, multiply the number of bags needed with the price of each bag to get the amount of money spent.

Answer47.3%

Step-by-step explanation:

Answer:

47.3684211%

Step-by-step explanation:

caulculater

Answer:

19

Step-by-step explanation:

If DE bisects  <ABC, this means that <ABE = <EBC

Also <DBC+<EBC = 180

99+<EBC = 180

<EBC = 180-99

<EBC = 81

Also <ABC =<ABE+<EBC

<ABC =<EBC+<EBC

7x+29 = 81+81

7x = 162-29

7x = 133

x = 133/7

x = 19°

Hence the value of x is 19°

Answer:

2(n+8)

sum is 30

Step-by-step explanation:

Answer:

2(n+8)

Step-by-step explanation: taking quiz right now

Answer:

Step-by-step explanation:

3z + 9 + 142 = 4z + 5

3z + 151 = 4z + 5

-z + 151 = 5

-z = -146

z = 146

answer is B

exactly one solution

Answer:

6y - 8xy

Step-by-step explanation:

2y-3xy+4y-5xy

Combine like terms:

(2y+4y) + (-3xy -5xy)

6y - 8xy

Answer:

3p² + 15p

Step-by-step explanation:

We use distributive property to distribute 3p to each of the terms:

3p · p = 3p²

3p · 5 = 15p

3p² + 15p

Hey there!☺

[tex]Answer:\boxed{3p^2+15p}[/tex]

[tex]Explanation:[/tex]

[tex]3p(p+5)[/tex]

Let's expand.

[tex]3p(p+5)\\\text{After Expanding: }3p^2+15p[/tex]

So the answer is [tex]3p^2+15p[/tex].

Hope this helps!

Answer:

Answer:

AB=4

Step-by-step explanation:

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

or

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

=

√16=

4

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

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

With this, we will found that the distance between A and B is: 4 units.

The first thing we need to do is find A and B.

We know that the points are the intersection between the two parabolas.

y = -x^2 + 9

y = 2*x^2 - 3

The intersection is given by the zeros of the difference:

(2*x^2 - 3) - (-x^2 + 9) = 0

3*x^2 -12 = 0

3*x^2 = 12

x^2 = 12/3 = 4

x = √4 = ±2

To find the points, we need to evaluate one of the parabolas in these two x-values.

Let's use the first one:

y = -(2)^2 + 9 = 5

So we have the point (2, 5)

For the other point:

y = -(-2)^2 + 9 = 5

So we have the point (-2, 5)

Then we can define:

A =  (2, 5)

B = (-2, 5)

Using the distance equation we get:

[tex]D = \sqrt{(2 - (-2))^2 + (5 - 5)^2} = 4[/tex]

The distance between A and B is 4.

If you want to learn more, you can read:

https://brainly.com/question/12082741

Answer:

Approximately

n = 21 years

Step-by-step explanation:

Original height of the tree = 4 1/2 feet

Final height of the tree = 40 feet

Common difference = 1 3/4 feet per year

The data shows the question is an arithmetic progression

Tn = a + (n-1) d

Tn = 40

a = 4 1/2

d = 1 3/4

n = ?

Tn = a + (n-1) d

40 = 4 1/2 + ( n - 1) 1 3/4

40 = 9/2 + (n - 1) 7/4

40 = 9/2 + 7/4n - 7/4

40 = 18-7/4 + 7/4n

40 = 11/4 + 7/4n

40 - 11/4 = 7/4n

160-11/4 = 7/4n

149/4 = 7/4n

Divide both sides by 7/4

n = 149/4 ÷ 7/4

= 149/4× 4/7

= 149/7

n = 21.29 years

Approximately

n = 21 years

Answer:5

Step-by-step explanation:

30 chapters in 6 hours. 30/6 =5

Answer:

I believe the answer is $1702.50.

Step-by-step explanation:

If you multiply 1500 by 4.5% (0.045 as a decimal) you will get 67.5 which is $67.5 interest for one year. For three years, you have too multiply 67.5 by 3 and you get $202.5. Finally, you add the total interest to the starting amount, $1500, which results in $1702.50.

Answer:

y = -3 ÷ 2x - 3

Step-by-step explanation:

As it can be seen that the line is passed by y-axis at -3.

Now we have to determine the slope

For this, use the following formula

= (x2 - x1) ÷ (y2 - y1)

At

(-2, 0), (0, -3)

So,

= (-3-0) ÷ (0+2)

= -3 ÷ 2

Now

Put in the following equation

y = mx + b.

where,

m = slope

b = y-intercept

So,

y = -3 ÷ 2x - 3

Answer:

x = -2

Step-by-step explanation:

First, distribute:

-12x + 28 = 52

Then, subtract 28 on both sides:

-12x = 24

Finally, divide -12 on both sides:

x = -2

Hope this helps!

Answer:

Your answer is x= -2

Step-by-step explanation:

[tex]-4(3x-7)=52[/tex] divide both sides by -4

[tex]\frac{ -4(3x-7)}{-4} = \frac{52}{-4}[/tex] cross out -4 and divide 52 by -4= -13

[tex](3x-7) = -13[/tex] add 7 to both sides -13+7=-6

[tex]3x= -6[/tex] divide both sides by 3

[tex]\frac{3x}{3} = \frac{-6}{3}[/tex] cross out the 3 and divide -6 by 3 = -2

[tex]x=-2[/tex]