what is the GCF of 12 and 40​

Answer:

y = 1/2 x + 3

Step-by-step explanation:

mid point of line BC = (2, 4)

slope of the line containing median (m) = 1/2

y intercept (b)= 3

since y = mx + b

y = 1/2x + 3

The median of a triangle is the line segment joining the any of the vertex to the mid-point of the opposite side of that vertex. The equation of the median through point A is given by y = 1/2x + 3.

A median of a triangle is a line segment joining one of the vertex of the triangle to the mid-point of the opposite side.

The median of an equilateral triangle also an angular bisector.

Given that,

The coordinates of A = (-2, 2)

The coordinates of B = (4, 10)

The coordinates of C = (0,-2)

Thus the coordinate mid-point of BC is given by (4+0)/2,(10-2)/2 = (2,4).

Now, to find the equation of median through A there are two points (-2,2) and (2,4).

Thus the equation of median an be written as,

(y-2)/(x+2) = (4-2)/(2-(-2))

=> y - 2 = 1/2(x+2)

=> y = 1/2(x+2) + 2

=> y = 1/2 x + 3

Hence, the equation of the line is y = 1/2 x + 3.

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Answer:

(a)

Step-by-step explanation:

Note the expansion of (x - 5y)² is

(x - 5y)² = x² - 10xy + 25y² , that is

(x - 5y)² = x² + 25y² - 10xy ← substitute given values

(- 16)² = 416 - 10xy

256 = 416 - 10xy ( subtract 416 from both sides )

- 160 = - 10xy ( divide both sides by - 10 )

xy = 16 → (a)

Answer:

What equations? there's no picture to reference

Answer: 4,5,-4,23

Step-by-step explanation:

Answer:

2 in

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

6068 rabbits

Step-by-step explanation:

Given

[tex]Rabbits = 200[/tex]

[tex]Reduction = 3\ daily[/tex]

[tex]Squirrels = 18[/tex]

[tex]Increment = 2\ daily[/tex]

Required

Determine number of rabbits caught up till the day when they caught more squirrel.

Let the number of days be n

On any n day,

The number of rabbits they catch is:

[tex]Rabbit = 200 - 3n[/tex]

The minus symbol is used because there's a reduction in the numbers of Rabbit caught, each day.

The number of squirrel they catch is:

[tex]Squirrel = 18 + 2n[/tex]

The addition symbol is used because there's an increment in the numbers of Squirrel caught, each day

First, we need to solve for n

The expression when they catch more rabbits than squirrel is:

[tex]Squirrel > Rabbit[/tex]

Substitute values for Squirrel and Rabbit

[tex]18 + 2n > 200 - 3n[/tex]

To solve the above expression, we start by collecting like terms

[tex]2n + 3n > 200 - 18[/tex]

[tex]5n > 182[/tex]

Solve for n

[tex]n > \frac{182}{5}[/tex]

[tex]n > 36.4[/tex]

Days must be an integer. So, we have to round the above value.

[tex]n > 36[/tex]

The above expression shows that they caught more squirrel on a day greater than 36.

This day is 37.

i.e.

[tex]n = 37[/tex]

The reduction in the number of rabbits daily is an indication of Arithmetic progression.

So, to calculate the number of rabbits caught up till the day when they caught more squirrel, we make use of Sum of n terms of an AP using:

[tex]S_n = \frac{n}{2}(2a + (n-1)d)[/tex]

In this case:

[tex]n = 37[/tex]

a = Initial Number of rabbits;

[tex]a = 200[/tex]

d = the reduction (common difference)

[tex]d = -2[/tex]

Substitute these values in the given formula:

[tex]S_n = \frac{n}{2}(2a + (n-1)d)[/tex]

[tex]S_{37} = \frac{37}{2}(2 * 200 + (37 - 1) * -2)}[/tex]

[tex]S_{37} = \frac{37}{2}(2 * 200 + 36 * -2)}[/tex]

[tex]S_{37} = \frac{37}{2}(400 -72)}[/tex]

[tex]S_{37} = \frac{37}{2} * 328[/tex]

[tex]S_{37} = 37 * 164[/tex]

[tex]S_{37} = 6068[/tex]

Up till that day, the number of rabbits is 6068

Answer:

A: (3x+24):3x = 85:51

Step-by-step explanation:

85 seems to be the total (RT + TP). 51 seems to be just TP alone.

This means that for the side lengths above, it should be in this format:

(length of QP):(length of SP)

The length of QP is 3x+24, as 3x is SP and QS is 24.

The length of SP is just 3x.

I hope this made sense, please leave a comment if it didn't ^^'

Answer:

∆RPQ ~ ∆TPS

now

RP: TP=QP:SP

(34+51);51=(3x+24):3x

(3x+24):3x=85:51 is your answer

Answer:

12

Step-by-step explanation:

3+5=8

32÷8=4

3×4=12

Answer:

12

Step-by-step explanation:

3+5=8

32÷8=4

3×4=12

Answer:

D. K+2K=51

Step-by-step explanation:

Since Lauren is 2 times Kristy's age, Lauren's age=2K

so, if the sum of the two is 51, then 2K+K=51

If you want to solve it, 2K+K=3K=51

51/3=K

17=K

34=L

Answer:

D K + 2K = 51

Step-by-step explanation:

Lauren is twice Kristy's age so it would be 2K cause you want to multi[ly, and then you have to add Kristy's age in the equation because their ages added together is 51

Answer:

-21 yards

Step-by-step explanation:

= -14 + -7

= -21

Lost 21 yards

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

The total change in yards for the two plays 21 yards lost

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes:

Positive Numbers: A number is positive if it is greater than zero. Example: 1, 2, 3 . . .

Negative Numbers: A number is negative if it is less than zero. Example: -1, -2, -3 . . .

Zero is defined as neither a negative number nor a positive number. It is a whole number.

In first play= 14 yards lost= -14

In next play = 7 yards lost = -7

So,

the total change in yards is = -14 + (-7)

                                              =-14-7

                                              = -21 yards

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Answer:

C. 7/9 and 0.7 (with bar notation)

Step-by-step explanation:

The division keeps going with the remainder as 7 and 9 can only go into 70 with a 63 so to show the 7 keeps going you would have to use bar notation above 7.

Answer:80

Step-by-step explanation:

take 20 from 100 and give them to 60.

take 10 from 90 and give to 70.

adds ut to avg 80

Answer:

C. Circle B and circle H are similar.

Step-by-step explanation:

From Euclidean Geometry we remember that all circles are similar to each other and from Analytical Geometry we know that all circles are characterized by two things: Center and radius. Both circles B and H are known for having a respective radius and center.

In consequence, we conclude that correct answer is C.

Answer:

0.1 and 0.25

Step-by-step explanation:

recurring decimals go on forever

terminating decimals end

Answer:

Option (1)

Step-by-step explanation:

Median:

A line joining the vertex to the midpoint of opposite side of the triangle.

Altitude:

Perpendicular drawn from a vertex to the opposite side of the triangle.

Angle bisector:

A line bisecting the angle of a triangle.

Perpendicular bisector:

A perpendicular line joining the vertex and the mid point of the opposite side of the triangle.

Hence, Option (1) Median will be the correct option.  

Answer: 1

f(x) = 3x - 4 => f(3) = 3.3 - 4 = 9 - 4 = 5

g(x) = x² => g(2) = 2² = 4

=> f(3) - g(2) = 5 - 4 = 1

Step-by-step explanation:

Answer:

1)the x-axis

2) when reflecting a shape over the x-axis the x coordinate stays the same and the y-coordinate becomes the opposite, so positive numbers become negative numbers and negative numbers become positive

Step-by-step explanation:

the rule of reflecting over the x-axis is (x, y)->(x, -y)

m=(-5,4)->(-5,-4)

n=(-2,3)->(-2,-3)

l=(-4,2)->(-4,-2)

Answer:

The slope of the line is -1/2

the slope is -1/2

y=mx+b

mx=slope

in your equation m= -1/2

Answer:

C

Step-by-step explanation:

Step 1. Add the fractions

One way you can solve this problem is by adding the fractions

1/4 + 1/6 + 5/12

1(3)/4(3) + 1(2)/6(2) + 5/12

3/12 + 2/12 +5/12

10/12

2. Multiply by 48

10/12 * 48( to find the amount of cupcakes)

40

3. Subtract

Now that we know the total number of cupcakes excluding the lemon is 40, we can do 48 - 40 , which is 8 cupcakes or C

Answer:

C. 8

Step-by-step explanation:

1/4 = 12

1/6 = 8

5/12 = 20

12+8+20=40

48-40 = 8

Answer:

x = 2

Step-by-step explanation:

3x + 4 - x = 8

Combine like terms

2x + 4 = 8

-4 from both sides

2x = 4

Divide by 2

x = 2

Answer:

x=4

Step-by-step explanation:

Add 4 to both sides of the equation

3x=8+4

add 8 and 4

3x=12

Divide each term in 3 x = 12 by 3.

3x/3 = 12/3

Cancel the common factor.

3x/3 = 12/3

Divide x by 1.

x = 12/3

 Divide 12 by 3.

Answer:

with what?

Step-by-step explanation:

Answer:

y = -2x + 2

Step-by-step explanation:

Simplify

y-4 = -2(x+1)

y - 4 = -2x - 2

add 4 to both sides

y = -2x +2

Answer:

y = -2x + 2

Step by step:

Answer:

The model represents the equation

-3x + 6 = 4x -8

Start by subtracting 6 from both sides.

-3x + 6 (-6) = 4x - 8 (-6)

-3x = 4x - 14

Subtract 4x from both sides

-3x - 4x = 4x - 4x - 14

-7x = -14

x = -14/-7

x = 2

Answer:

720 divided by 90

Step-by-step explanation:

72 divided by 9 is 8. 720 divided by 9 is 80 because you're keeping the 0, but when dividing, take away the zeros if both numbers have a zero to make it easier

Answer:

a. 14

b. 10

c. 11

Step-by-step explanation:

You need to use the distance formula.

[tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}[/tex]

Ex: (1,2) and (1,16)

You will need to lable each

1st Point: 1 will be [tex]x_{1}[/tex] and 2 will be [tex]y_{1}[/tex]

2nd Point: 1 will be [tex]x_{2}[/tex] and 16 will be [tex]y_{2}[/tex]

Then you will need to plug it in

[tex]\sqrt{(1-1)^{2} +(16-2)^{2}}[/tex]

Answer:

Pauline needs 48 bags.

Step-by-step explanation:

You know that the field is 240 sq. ft. and that the density of the mulch is 6 pounds per sq. ft. Just multiply 240 by 6 to get the total weight of all the mulch, 1440 pounds. You also know each bag of mulch is 30 pounds. Divide 1440 by 30 to get 48 bags.

Answer:

B. $950

Step-by-step explanation:

500+450=950

Answer:

Whats the code?

Step-by-step explanation:

Ill play with u

Correction is the question: 6[tex]\frac{1}{2}%[/tex]% = 6.5%

Answer:

Amount to be repaid is $335798.833

Step-by-step explanation:

Amount of loan = $332,200

Rate of interest = 6.5%

time =  2months = 2/12 = 1/6 years

The amount of interest is simple interest

SI = [tex]\frac{P * R * T}{100}[/tex]

    =[tex]\frac{ 332200 * 6.5 *1 }{100 * 6}[/tex]

    = $3598.833

Final amount to be repaid = 332200+ 3598.833

                                            = $335798.833

Answer:

1) x+10

2) 1/2

Step-by-step explanation:

Answer:

1.

[tex]x + 10[/tex]

2. 1/2