What is the solution to the system of equations?
V
스를
2
X +3
X = -2
ㅇ(-2,-1)
ㅇ(2)
0
11
0
아2를

Answer: M  = [tex]\frac{x-2y}{x+y}[/tex]  

Step-by-step explanation:

[tex]\frac{M(x+y)+4y}{x^{2}-xy-y^{2} } =\frac{(x+2y)}{x^{2} -xy-y^{2} }[/tex]

M (x + y) + 4y = x + 2y (Multiply [tex]x^{2} - xy-y^{2}[/tex] in both sides)

M (x + y)  = x + 2y - 4y

M (x + y)  = x - 2y  (Divide (x+y) from both sides)

M  = [tex]\frac{x-2y}{x+y}[/tex]  

Answer: This is used by

Step-by-step explanation:

Engineering

Answer:

19 2/3

Step-by-step explanation:

32 ft minus 12 and 1/3 ft is 19 and 2/3 ft.

Answer:

b

Step-by-step explanation:

Answer:

24 adults

Step-by-step explanation:

because it's just subtract 212-188=24

I think

[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]

[tex] \frac{29}{35} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

Step-by-step explanation:

Answer:

AB would be 18 or the first choice.

Since BD is the median that means from A to D and from D to C are equal. We set this up as an equation and solve it.

x + 8 = 2x - 17

  + 17       +17

x + 25 = 2x

-x            -x

    25 = x

This gives us our first bit of the answer. Then we plug this into our equation for the length of AB to get 18.

Step-by-step explanation:

hope this helps. . . <3

good luck!      uωu

Answer:

2

Step-by-step explanation:

The probability of an event occurring is given by the ratio of the number of

possible outcome to the number of required outcome.

Reasons:

First question:

The number of faces in a coin = 2; A head or a tail

The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]

The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]

The probability that the first coin lands on heads and the second coin lands

on tails = P(H ∩ T)

Which gives;

[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]

The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25

Second question:

The number of black cards in a pack of 52 = 26 cards

The number of cards that are a 8 in a pack of 52 cards = 8 cards

[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]

[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]

The probability of drawing a black card and then an 8, P(B∩8), is given as follows;

[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]

The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]

Third question:

The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]

The number of consonant in the alphabet = 21

The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]

The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C)  = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]

Fourth question:

The number of even numbers on a die = 3; (2, 4, 6)

The number of numbers less than 2 on a die = 1

The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]

The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]

Therefore;

The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]

Learn more here:

https://brainly.com/question/19916581

The number of miles each person runs after an hour is;

Michael Anthony = 9 miles

Jocelyn = 8 miles

The person that runs the fastest is;

Michael Anthony with a speed of 0.15 miles per minute.

Michael-Anthony runs 3 miles in 20 minutes

Now formula for speed is;

Speed = distance/time

Thus;

Speed of Michael Anthony = 3/20 miles per minute = 0.15 miles per minute

Thus, in 1 hour = 60 minutes,

Distance covered = 3/20 × 60

Distance covered = 9 miles

Jocelyn runs 4 miles in 30 minutes

Speed of Jocelyn = 4/30 = 0.133 miles per minute

Distance covered by Jocelyn in 1 hour = 60 minutes is; 0.133 × 60 = 8 miles

Read more about distance, time and speed relationship at; https://brainly.com/question/3267354

Answer:

y = - 4 x + 20

Step-by-step explanation:

The trail is 20 miles

Each hour you go 4 miles, so you subtract that each hour

Answer:

R834.92 is the monthly repayments.

Step-by-step explanation:

Step-by-step explanation:

you understand coordinates and how to find them in the chart, yes ?

because I can't draw here, I can only give you the points through which the line has to go.

one point is, of course, (2, -3).

to find another good point we use the slope 3/4.

the slope is the ratio of y change/x change when going from one point to another.

so, we find another point with integer coordinates by e.g subtracting the slope units from the point (addition would also work) :

the other point on the line would be

(2 - 4, -3 - 3) = (-2, -6)

and then you draw a line that goes through both points.

Answer:

100 degrees

Step-by-step explanation:

at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.

The 100th even natural number is 200

Given the sequence 2, 4, 6, 8, 10....

The nth term of the sequence is expressed as:

Tn  = a + (n - 1)d

a is the first term = 2

d is the common difference = 4 - 2 = 6 - 4 = 2

n is the number of terms

Substitute the given parameters into the formula

Tn = 2(n-1)2

Tn = 2+(2n - 2)

Tn = 2n

Get the 100th term

T10=  2(100) = 200

Hence the 100th even natural number is 200

Learn more on AP  here: https://brainly.com/question/24072079

Answer:

1)

200

2)  

10100

3)

less than

Step-by-step explanation:

on god

Answer:

Step-by-step explanation:

Answer:

15y + 32z - 6x

Step-by-step explanation:

-9y + 8(4z + 3y) -6x

=> -9y + 32z + 24y - 6x

=> 15y + 32z - 6x

Hoped this helped.

Answer:

The slope of this line is y=3x-3

Step-by-step explanation:

(I'm not sure but is the line on the point(1,0)? or is it past that point?)

Answer:

900 meters

In 0.9 move the decimal two times to the right

That makes it 900 meters

Answer:

4

Step-by-step explanation:

yeah-ya........ right?

The perimeter of the triangle is 2(12c - 7).

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.

Perimeter = 7c - 5 + 7c - 5 + 10c - 4

24c - 14

2(12c - 7)

To learn more about a triangle, please check: https://brainly.com/question/9329354

Answer:

True!

Step-by-step explanation:

Answer:

4 lipsticks

Step-by-step explanation:

15+15=30, 30+30=60

Answer:

S=2

Step-by-step explanation:

the answer can not be higher than 2 because the inequality shows 9 is bigger than what is being added.

9 Is greater than or equal to 7+2

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's simpify the inequality ~

So, the values equal to or less than 2 should be the required solutions ~

that is ~

Answer:

Step-by-step explanation:

Circumference formula:

Substitute and solve for d:

Answer:

y = x

Step-by-step explanation:

line has a slope 1 and passes through the origin . So the equation is y = x