Solve the following system of equations algebraically:
x2 + y2 = 20
2y = x

Answer:

12 or 2^2 × 3

Step-by-step explanation:

(2)6

Multiply 2 and 6 to get 12.

12

Answer:

The two numbers are 6 and 10.

Step-by-step explanation:

First, you have to form equations. With the given informations, let x be the larger number and y be the smaller number, the equations will be :

x - y = 4

3x + y = 36

Next, you have to solve the simultaneous equations :

x - y = 4 ---------- (1)

3x + y = 36 ------- (2)

(2) + (1)

3x + y + x - y = 36 + 4

4x = 40

x = 10

Substitute x = 10 into (2)

3(10) + y = 36

30 + y = 36

y = 36 - 30

y = 6

Answer:B

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The solution to the system of equations is the point of intersection of the graphs of the equations.

The solution is point (3, 2).

An ordered pair is of the form (x, y). The x-coordinate of point (3, 2) is 3.

Answer: 3

Answer:

d) A[n] = A[n=1] - 2 (Your selected answer is correct)

Step-by-step explanation:

Think of the formula as:

new number = previous number minus 2

Answer:

35 (C)

Step-by-step explanation:

Answer:

B) 30

Step-by-step explanation:

This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.

Answer:

x=9

Step-by-step explanation:

x/3+5=8

x/3=8-5

x/3=3

(x/3)*3=3*3

x=9

double check

9/3+5=8

3+5=8

8=8

Answer:

x=9

Step-by-step explanation:

[tex]\frac{x}{3}+5=8\\[/tex]

[tex]\frac{x}{3}=3[/tex]  subtract 3 from each side

[tex]x=9[/tex] multiply each side by 3

thats it!! :D

Answer:I'm guessing the average mass of the two apples each is 35 grams

hope this helps I didn't really understand the quetsion

if u are asking mass of the larger apple it is 160

are u?

Answer:

isn't 656 already a base-ten number?

Step-by-step explanation:

i'm confused (。_。)

Answer: A: (6, 5)

Step-by-step explanation:

When graphing a system of equations, you can find the solution by finding where the graphs intersect. In this case, the graphs intersect at (6, 5).

To verify that this is indeed a solution to the system of equations, we can substitute (6, 5) into both of the given equations:

[tex]y = \frac{1}{2}x + 2[/tex]

[tex]5 = \frac{1}{2} * 6 + 2[/tex]

[tex]5 = 3 + 2[/tex]

[tex]5 = 5[/tex]

[tex]y = x - 1[/tex]

[tex]5 = 6 - 1[/tex]

[tex]5 = 5[/tex]

Since both equations hold true when plugging in the given coordinate (6, 5), we know that this is a solution to the system of equations.

Answer:

81 min I think

Step-by-step explanation:

Answer:

[tex](-1, 3)[/tex]

Step-by-step explanation:

Given

See attachment for ABCD

Options:

[tex](-1, 3)\ \ \ (0,3)\ \ \ (1,5)\ \ \ (2,5)[/tex]

From the attachment:

[tex]A = (-6,1)[/tex]

[tex]B = (4,5)[/tex]

Required

Coordinates on AB

First, calculate the slope of AB

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{5-1}{4--6}[/tex]

[tex]m = \frac{4}{10}[/tex]

[tex]m = 0.4[/tex]

Next,, calculate the equation as:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 0.4(x - -6) + 1[/tex]

[tex]y = 0.4(x +6) + 1[/tex]

[tex]y = 0.4x +2.4 + 1[/tex]

[tex]y = 0.4x +3.4[/tex]

Taking the options one at a time: (-1, 3)

[tex]x = -1\ \ y =3[/tex]

Test these values in the equation

[tex]y = 0.4 * -1 + 3.4[/tex]

[tex]y = -0.4 + 3.4[/tex]

[tex]y =3[/tex]

Hence, this point lie on AB

Answer:

1. 62.8 cm

2. 78.5

3. 13

4. 18

Step-by-step explanation:

d = r * 2

c = Pi * d

Answer:

3

Step-by-step explanation:

ABC

Acb

Bac

Bca

Cab

Cba

This looks like 6 but if you look close, 3 are duplicates

Answer:

A

Step-by-step explanation:

i am sure it's a y_5=1/4(x_(_1))

Answer:

86

Step-by-step explanation:

Answer: 86

Step-by-step explanation:

Answer:

its -1 for sure

i dont kbow the other one

Dunno what that symbol is lel

Answer:

-134/9

Step-by-step explanation:

Answer:

2.12%

Step-by-step explanation: So in a 52 card deck, there are 13 hearts, so our probability of drawing a heart on the first try is 13/52, but this 3 decks, so you pretty much just add

Answer:

1.56%

Step-by-step explanation:

there 52 cards in a deck and 13 of those are hearts. 13/52*13/52*13/52 That equals 2,197/140,608. Then divide both by 2,197 and you get 1/64. Turn it into a percent and it's 1.56%

13/52 is also 25% so you could do 25% * 25% * 25% and you get .015625 and move the decimal two places to turn it into a percent 01.5625%

Answer:

173 - 124 = then do thatb divided by each seat 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(19+2)/7

Answer:

(9³×m)3

Step-by-step explanation:

Hope it helps you

Answer:

C.

Step-by-step explanation:

To multiply two polynomials, multiply every term of one polynomial by every term of the other polynomial. Then collect like terms.

Multiply p^2 by each term of the second polynomial. Then multiply q^2 by each term o the second polynomial.

[tex] (p^2 + q^2)(p^4 - pq - q^4) = [/tex]

[tex] = p^6 - p^3q - p^2q^4 + p^4q^2 - pq^3 - q^6}

There are no like terms to collect, but we can arrange the product in descending order of the power of q.

[tex] = p^6 + p^4q^2 - p^3q - p^2q^4 - pq^3 - q^6 [/tex]

Answer: C.

Answer:

The answers would be =

A = (226.6 + 205.6 + 157.6) / 3 = 589.8 / 3 = (196.6)

B = (119.6 + 61.6 )/2 = 181.2/2 = 90.6

Answer:

m < -4

Step-by-step explanation:

-3m - 4 > 8

add four to each side

-3m > 12

divide each side by -3 (since you are dividing by a negative the sign changes from > to <)

m < -4

Answer:

m<-4

Step-by-step explanation:

1. -3m-4>8

2. -3m>12 (add four to both sides)

3. m<-4 (divide by -3 on both sides, since you are dividing by a negative number your sign flips)