-5x+y=-10 and -4x-y=-26

Step-by-step explanation:

Using the section formula , if a point ( x , y ) divides the line joining the points ( x1 , y1 ) and ( x2 , y2 ) into the ratio m : n , then

( x , y ) = ( mx2 + nx1 / m + n , my2 + ny1 / m + n)

Let the points be A(-8,−2) and B(6,19). Let a point P(x,y) divides AB in the ratio 5:2

Therefore, we have

[tex]P(x,y) =( \frac{5 \times 6 + 2 \times - 8}{5 + 2} , \: \frac{5 \times 19 + 2 \times - 2}{5 + 2}) [/tex]

[tex]P(x,y) = ( \frac{30 + ( - 16)}{7} , \: \frac{95 + ( - 4)}{7} )[/tex]

[tex] P(x,y) = (2, 13)[/tex]

Answer:

(2, 13)

Step-by-step explanation:

Let P be the point that partitions the segment.

Let M = (-8, -2)

Let N = (6, 19)

If point P partitions the segment MN in a 5 : 2 ratio, then to calculate the x and y values of point P:

x-value of P:

[tex]\sf \implies \left(\dfrac{x_N-x_M}{5+2}\right)\cdot5+x_N[/tex]

[tex]\sf \implies \left(\dfrac{6-(-8)}{5+2}\right)\cdot5+(-8)=2[/tex]

y-value of P:

[tex]\sf \implies \left(\dfrac{y_N-y_M}{5+2}\right)\cdot5+y_N[/tex]

[tex]\sf \implies \left(\dfrac{19-(-2)}{5+2}\right)\cdot5+(-2)=13[/tex]

[tex]\sf P=(2,13)[/tex]

Answer:

Step-by-step explanation:

39.8 - 32.2 = 7.6

Range is subtracting the highest and lowest numbers by each other .

Based on the calculations, the range for this data set is equal to 7.6.

In Mathematics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.

Mathematically, range is calculated by using this formula;

Range = Highest number - Lowest number

From the given data set, we have:

Substituting the given parameters into the formula, we have;

Range = 39.8 - 32.2

Range = 7.6.

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well it would be very helpful thank you

Answer:

(A) P(t) = 220t - 435 390

(B) predicted moose population = 6370

Step-by-step explanation:

the longer working shows the explanation and working for part A while the shorter working is for part B

Solution :-

This triangle is a right angled triangle as we can see ∠POC, has a right angled sign. Now, we will assume the missing angle to be x, thus,

25° + 90° + x = 180° ( Angle sum property of a triangle )

115° + x = 180°

x = 180° - 115°

x = 65°

Thus, the measure of missing angle is 65°.

Hope that helps. :D

Answer:

(0, -14)

Step-by-step explanation:

Midpoint formula: [tex](x_m, y_m) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]

Answer:

Step by step  explanation:

Answer:

4) v=kx^2/y^3

2= k(4^2)/(3^3)

2 =k16/27

k = 2(27/16) = 27/8

v = (27/8)(3^2)/(2^3 = (27/8)(9/8) = 243/64

v = 243/64 when x=3 and y=2

Step-by-step explanation:

here

F varies jointly as x and y and the value of x is 3 and y is 2.

We have given that,

1.) m varies directly as a and b  m=10 when a=4 and b=7. Find m when a=11 and b=8.

v=kx^2/y^3

2= k(4^2)/(3^3)

2 =k(16/27)

k = 2(27/16)

k = 27/8

v = (27/8)(3^2)/(2^3)

= (27/8)(9/8)

= 243/64

v = 243/64 when x=3 and y=2.

Therefore we get the value of x is 3 and y is 2.

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Answer: 800

Step-by-step explanation:

Answer:

Cost of Computer: $734

Cost of Printer: $367

Step-by-step explanation:

These two equations can represent the costs; x = price of computer; y = price of printer.

x + y = 1101

2y = x

If you graph these, you get an intersection point of (734, 367). This means that the only place that both equations are fulfilled is on (734, 367).

Then you can check your work:

734+367=1101

367*2=734

Answer:

Step-by-step explanation:

Answer:Number of subsets will be given by 2^n, where n is the number of elements in the set.

Step-by-step explanation:

Number of elements is 5. Therefore, the number of subsets that can be formed from the given set is 2^5 = 32.

Answer: 6.

Step-by-step explanation: The total number of seats is 328.  There are 14 rows with 23 seats in each row.  To solve this, we need to multiply the amount of rows with the amount of seats in each row, which would look like this:

14 x 23 = 322.

As you can see, there are only 322 seats.  However, there are 328 seats in total, so there are 6 extra seats that aren't in a specific row.  Therefore, there are 6 extra seats.

Hope this helps! :)

Answer:

D.) there is 9a and 6b ,3c and 1 thats four different terms

Step-by-step explanation:

Have a nice day! :D

Answer:

480 in^3

Step-by-step explanation:

Volume = B*h

Base of the triangle = B*h*1/2

= 10*8*1/2

B = 40

Volume = 40*12 = 480

Answer:

109.375

Step-by-step explanation:

We need to multiply all of the lengths and widths by 2 1/2 in order to make the dimensions 2 1/2 times larger.

For length:

[tex]5\frac{1}{4}[/tex]  x  [tex]2\frac{1}{2}[/tex] = 13.125 or [tex]13\frac{1}{8}[/tex]

For width:

[tex]3\frac{1}{3}[/tex]  x  [tex]2\frac{1}{2}[/tex] = 8.333 or [tex]8\frac{1}{3}[/tex]

Then to find the area use the equation:

A = l x w (Area = length x width)

And plug in the values:

A = [tex]13\frac{1}{8}[/tex]  x  [tex]8\frac{1}{3}[/tex] = [tex]\frac{875}{8}[/tex] or [tex]109\frac{3}{8}[/tex] or 109.375

Answer:

72 orange marbles

Step-by-step explanation:

First, divide 45 by 5 to determine how many red units there are. Then, use that number (9) to multiply with 8 to get the number of orange marbles, which is 72.

Hopefully this helps- let me know if you have any questions!

BC = 11

hope it helps...!!!

Answer:

x = 11

BC = 48

Step-by-step explanation:

11 + 37 = 48 and 4(11) + 4 = 48 and since they are both being multiplied by 11 in place of the x, that makes it congruent. BC is 48 because 11 + 37 = 48. hope it makes sense

35% of 120 is :

120 x 0.35 = 42 $ profit

selling cost 120+42=162$

Answer:

100+200×300 = 60100

Step-by-step explanation:

According to the BODMAS, the order to solve any question is as follows

B - Brackets

O - Order

D - Division

M - Multiplication

A - Addition

S - Subtraction.

in the above expression Addition and multiplication two different operations are functioning. According to BODMAS the multiplication expression will be solved first, that outputs.

200×300 = 60000

after calculating correctly we have to operate second function i.e. addition and add 100 to the above result,

60000+100 = 60100

[tex]{Answer = 60100}[/tex]

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Answer:

0

Step-by-step explanation:

Answer:

A solid figure has three dimensions while a plane figure has only two dimensions. The space enclosed by a solid figure is called its volume. The volume of a solid figure is measured in cubic units such as cubic centimetres (cm3) and cubic metres (m3).

Step-by-step explanation:

Hope this helps....

Answer:

i think we're in the same class lol, but i just took the quick check and the answer was 625in, which would be A

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

let g be Gabrielle age

m be mikhail age.

So according to this problem,

[tex]g + m = 81[/tex]

[tex]m + 15 = g[/tex]

Subsitue m+15 for g.

[tex](m + 15) + m = 81[/tex]

[tex]2m + 15 = 81[/tex]

[tex]2m = 66[/tex]

[tex]m = 33[/tex]

So mikhail age is 33.

Answer:

The lines of symmetry in the wheel is infinite.

Explanation:

Since there are an infinite number of lines through the center, a circle has an infinite number of lines of symmetry.

Answer:

t=9

Step-by-step explanation:

Solve -

Distribute :7-(5t - 13) = - 25

7 - 5t + 13 = - 25

Add the numbers :7 – 57 + 13 = -25

20-51 = -25

Rearrange terms :20-51 = -25

-51+ 20 = -25

Subtract 20 from both sides :-51 + 20 = -25

-51+20-20-25-20

Simplify :Subtract the numbers

-51+ 20-20-25-20

-5:=-25-20

Subtract the numbers

-51 = -25-20

-51 = -45

-51 = -45

Divide both sides by the same factor : -51 = -45 -5t -5 -45- -5 =

Simplify : Cancel terms that are in both the numerator and denominator :: -5t - = -45 - -5

t = - 45 - -5

Divide the numbers :

t = - 45 - -5 ” t=9 ” here’s the answer

Answer:

mm what's that?

Step-by-step explanation:

wala akong pake char

Answer:

18 grams,160 grams,2,100 grams,2 kilograms,17 kilograms,208 kilograms.

The measure from least to greatest is 18 gm < 10 gm< 17 Kg < 2Kg < 2300 gm < 208 Kg.

The arrangement of numbers or other things in increasing order from least to greatest is known as ascending order. Ascending order is demonstrated by numbers on a number line, which are listed from left to right.

Given:

18gm, 17 Kg, 100 gm, 2 Kg, 2300 gm, 208 Kg

Converting all the units into gram we have

18 , 1700,  100, 2000, 2300, 208000

So, the mass from least to greatest.

18 < 100 < 1700< 2000< 2300 < 208000

Hence, 18 gm < 10 gm< 17 Kg < 2Kg < 2300 gm < 208 Kg.

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