1
[125
-1
-1251
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125
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-5-3
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(-5-3)
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Answer:

(2 , 5)

Step-by-step explanation:

point (x,y) that divides the segment   PI in the ratio 2 to 1

PD=4 - (-2) = 6     PE/ED=2/1     PE=2ED      PE+ED=6    3ED=6    ED=2   PE=4

coordinate of E (2,1)   .... 2 is x coordinate of E

DI=7-1=6    DF/FI=2/1     DF=4

coordinate of F (4,5)   .... .... 5 is y coordinate of E

CF // PD            PC/CI=DF/FI=2/1

C (2,5)

  Coordinates of the point intersecting segment PT in the ratio of 2 : 1 will be (2, 5).

   Given in the question,

   If the endpoints of a segment PQ have been given as[tex]P(x_1,y_1)[/tex] and [tex]Q(x_2,y_2)[/tex] and a point [tex](h,k)[/tex] divides this segment in the ratio of m : n,

[tex]h=\frac{mx_2+nx_1}{m+n}[/tex]

[tex]k=\frac{my_2+ny_1}{m+n}[/tex]

    If the extreme ends of a segment PT are [tex]P(-2,1)[/tex] and [tex]T(4,7)[/tex] and a point (h, k) divides this segment in ratio of 2 : 1,

[tex]h=\frac{2(4)+1(-2)}{2+1}[/tex]

[tex]h=2[/tex]

[tex]k=\frac{2(7)+1(1)}{2+1}[/tex]

[tex]k=5[/tex]

   Therefore, coordinates of the point intersecting segment PT in the ratio of 2 : 1 will be (2, 5).

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Answer:

04) Subtract 4, subtract 4x, then divide by 2.

Answer:

option A.

Step-by-step explanation:

2x + 2 + 4 = 4x - 2 + 2

2x - 2x + 6 = 4x - 2x

3 = x OR x = 3

Answer:

x = 33

Step-by-step explanation:

forgive me if im wrong but I've had this question before and i got that right.

Answer:

x = 33, because 180 - 124 + 23

Answer:

2(-2)+1

Step-by-step explanation:

All you have to do is replace x with-1

Answer:

6z-7>8z+2? =  z < -9/2

Step-by-step explanation:

6*z-7-(8*z+2)>0

  -2z - 9  =   -1 • (2z + 9

Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     2z+9  < 0

Divide both sides by  2  

     z+(9/2)  < 0

Subtract  9/2  from both sides

           z < -9/2

Answer: z < -9/2

Answer:

z is (less than) -9/2 is the correct answer use the symbol for less than.  

Step-by-step explanation:

I put it through Photomath which is 100% right all the time with these equations.

Dividing 120 in the ratio of 1 : 4 will give 24 and 96.

The first number that'll be gotten based on the information given will be:

= 1/5 × 120

= 24

The second number that will be gotten based on the information given will be:

= 4/5 × 120

= 96

Therefore, the numbers will be 24 and 96.

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Answer:

43

Step-by-step explanation:

Answer:

b 43 on edge 2021.........

Answer:

The perimeter is 28.13 cm

Step-by-step explanation:

We connect a line from A to C

we can use the cosine rule to find the length AC

let us call it x

AC^2 = AB^2 + BC^2 - 2(AB)(BC) cos B

we have this as;

x^2 = 6^2 + 8^2 - 2(6)(8) cos 95

x^2 = 36 + 64 + 8.37

x^2 = 108.37

x = √108.37

x = 10.4 cm

AC = 10.4 cm

now, let us look at triangle ADC Where we have AC as the hypotenuse as it is the side facing the right angle

We can use Pythagoras’ theorem to get the value of CD

We have it that the square of the hypotenuse AC is the sum of the squares of the two other sides

let DC be y

10.4^2 = 5^2 + y^2

y^2 = 108.37 - 25

y^2 = 83.37

y = √83.37

y = 9.13 cm

The perimeter of the shape is the sum of all its sides

so we have;

AB + BC + CD + AD

= 6 + 8 + 9.13 + 5

= 28.13 cm

Answer:

$8.87 per pound

Step-by-step explanation:

Answer:

32647

Step-by-step explanation:

It is this becasue i know

Answer:

Nov 1st: 2500 boxes

Dec 1st: 15% fewer boxes which is 2500 x (1- [tex]\frac{15}{100}[/tex] ) = 2125

On January 1st: 20% more boxes which is 2125 x (1+ [tex]\frac{20}{100}[/tex] ) = 2550 is the number of boxes

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct system of equations which is the number of nickels and dimes that Lucas has in the jar is:

n + d = 30

0.05n + 0.10d = 2.10

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Lucas has a jar of coins that only contains nickels and dimes. He has 30 pennies in the jar, which is worth $2.10.

Let represents the number of nickels, n,

And the number of dimes, d, that Lucas has in the jar

The system of equations to find the number of nickels and dimes that Lucas has in the jar is:

n + d = 30

0.05n + 0.10d = 2.10

This system can be used to solve for the values of n and d. The first equation represents the total number of coins, and the second equation represents the total value of the coins in the jar.

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Answer:

f ( 10 x − 6 ) = 1000 x^ 3 − 1800 x ^2+ 1170 x − 306

Step-by-step explanation:

Answer:

24x+32

Step-by-step explanation:

=(3x+4)(8)

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

=24x+32

Answer:#2

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

6x+6x+8x=180 (∠ sum of Δ)

20x=180

x=9

∠ABC=8(9)

         =72

Answer:

-6

Step-by-step explanation:

count

Answer:

-6

Step-by-step explanation:

each dash on the line changed by one. So i you go down, you subtract 1, and if you go up, you add 1.

Answer:

angle c = 20 °

Step-by-step explanation:

as sum of all sides of triangle is equals to 180°

Answer:

6

Step-by-step explanation:

Step 1: g(6) = 4 - 2 x 6

Step 2: g(6) = 4 - 12

Step 3: g(6) = -8

Step 4: g(9) = 4 - 2 x 9

Step 5: g(9) = 4 - 18

Step 6: g(9) = -14

(Final Step) Step 7: g(6) - g(9) = -8 - (-14) = 6

Step-by-step explanation:

You just simplifyall answers or expand them and add them up

Answer:

maybe?

Step-by-step explanation:

I am not sure

Answer: y=+{%

Step-by-step explanation:

€

hey

heh

Answer:

6 vans and 6 buses

Step-by-step explanation:

v+b=12 this equation represents the amount of vehicles

6v + 55b = 366 this equation represents the amount of students per vehicle.

after solving you get v=6 and b=6

Answer:

40 sweets

Step-by-step explanation:

Let june have x sweets

may has 3x/4 sweets

April has x/2 sweets

total sweets is 90

Adding all sweets =

x/2+3x/4+x = 90

9x = 360

x = 40

Therefore June has 40 Sweets