Evaluate 8y - 2k when y = 9 and k = 7

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:

because you add. if you would subtract 6 inches by 3 inches it would be 3 inches.

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:

el precio de la biciclete entre 3 es lo que van a pagar cada quien.

Step-by-step explanation:

Answer: y=+{%

Step-by-step explanation:

€

hey

heh

Answer:

Step-by-step explanation:

As we know that,

Area of isosceles triangle= 1/2 *b*h

we have a=10  and  other side = hypotenuse=b=13 cm

Now e have formula to find h,

h=[tex]\sqrt{b^{2} -a^{2}/4}[/tex]

now putt the values ,

we get,

h=[tex]\sqrt{169-100/4}[/tex]

h=[tex]\sqrt{576/4}[/tex]

Area = 1/2 * b*h

Area=1/2*13*12

Answer:

1/370

Step-by-step explanation:

I think I couldn't see it well

Answer:

The slope=1

Step-by-step explanation:

(0,7)=(x,y) and (-4,3)=(`x,`y)

The formula for finding slope= `y - y/`x - x

3-7/-4-0

-4/-4

1

Therefore, the slope=1

Answer:

92.5

Step-by-step explanation:

18.5

[tex] \frac{18.5}{100} \times 500 \\ \\ [/tex]

100 times 5 is 500

so 100 is cancelled and 500 becomes 5

therefore 18.5 times 5 is equal to 92.5

Answer:

92 1/2   or   92.5

Step-by-step explanation:

how to solve?

Put it into a percent proportion :D!

Percent proportion is is/of=%/100 or a/w=p/100

The a stands for "part"

and the w stands for "whole"

p stands for "percent"

Is/of=%/100 will help you figure it out if it's in a mathmatical sentence.

Since they did NOT give you what the "is" is, you put the variable "a"

a/   =

Next,

Since it said "of"

You put of underneath the unknown number "is" (a)

a/500=

Now put in the percent

a/500=18.5/100

Now cross multiply!

Then you should get 92.5!

HOPE THIS HELPS :DDD

Answer:

angle c = 20 °

Step-by-step explanation:

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

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:

72

Step-by-step explanation:

6x+6x+8x=180 (∠ sum of Δ)

20x=180

x=9

∠ABC=8(9)

         =72

Answer:

$82.68

Step-by-step explanation:

Original price of mint - $106

Percent discount = 22%

Discount price = 22/100 * 106

Discount price = 0.22 * 106

Discount price  = $23.32

New value = Original price - discount price

New value = 106 - 23.32

New value  = 82.68

Hence the new value of the figure will be $82.68

Answer:

a = 80

b = 40

c = 58

d = 19

e = 34

f = 36

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Answer:

a = 80

b=40

c=58

d=19

e=34

f=36

Step-by-step explanation:

Answer:

girl boy 6:7

Step-by-step explanation:

Answer:

12/26 or 6/13

Step-by-step explanation:

Answer:

C: A compass setting is used to measure the length of a segment in a

Step-by-step explanation:

Answer:

im a little confused so i hope this is right

Step-by-step explanation

(11*2+2x+16)= 38+2x

(2*2+x+2)= 6+x

38+2x-6+x= 32+x ??

38-6=32

2x-x= x or 2x+x=3x

Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. Statisticians typically use the least squares method to arrive at the geometric equation for the line, either though manual calculations or regression analysis software. A straight line will result from a simple linear regression analysis of two or more independent variables. A regression involving multiple related variables can produce a curved line in some cases.

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Answer:#2

Step-by-step explanation:

Answer:

450,900

Step-by-step explanation:

ok

Answer:

The retail price to purchase a remote-controlled car at the hobby store is $42

Step-by-step explanation:

Original Price of remote controlled car = $35

Mark up = 20%

We need to find retail price.

First we will find mark up value i.e. 20% of 35 and then add it to the original price to find retail price.

Finding 20% of 35

[tex]20\% \:of\: 35\\=\frac{20}{100}\times 35\\=7[/tex]

So, mark up price is $7

Now, the retail price will be:

Retail price = Original Price + Mark up

Retail price = 35 + 7

Retail price = 42

So, the retail price to purchase a remote-controlled car at the hobby store is $42

Answer:

36 is what percent of 80? = 45.

Answer:

45

Step-by-step explanation:

46/80%

pretty simple I hope this helps you

Answer:

$8.87 per pound

Step-by-step explanation:

Answer:

32647

Step-by-step explanation:

It is this becasue i know

Answer:1 =5

             2 = 55/3

             3= 11

Step-by-step explanation:

hope i could help lol

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

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:

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.