MATHEMATICS MIDDLE SCHOOL

What is one solution of the following system? StartLayout Enlarged left-brace 1st row 2 y minus 2 x = 12 2nd row x squared + y squared = 36 EndLayout (–6, 0) (–2, 4) (0, –6) (4, –2)

Answers

Answer 1

Answer:

Answer:

Option A.

Step-by-step explanation:

The given equations are

$2y-2x=12$ ...(1)

$x^2+y^2=36$ ...(2)

From equation (1), we get

$2y=12+2x$

$y=(12+2x)/(2)$

$y=6+x$ ...(3)

Substitute $y=6+x$ in equation (2).

$x^2+(6+x)^2=36$

$x^2+36+12x+x^2=36$

$2x^2+12x=0$

$2x(x+6)=0$

$x=0,-6$

Put x=0, in equation (3).

$y=6+0=6$

Put x=-6, in equation (3).

$y=6-6=0$

It means, (0,6) and (-6,0) are two solutions of the given system of equations.

Therefore, the correct option is A.

Answer 2

Answer:

Answer:

A on edge

Step-by-step explanation:

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. Teesha is in French Club. There are 10 freshman, 12 sophomores, 15 juniors, and 30 seniors in the club. The advisor is going to randomly choose one of the members of the club to be a guide for an important visitor. 1. 15/67 2. 22/67 3.37/67 4. 45/67
Sergei says that 10% of a number will always be less than 20% of any other number.
6 4/5 - 2 1/5 is what?

When do i find the LCM and when do i find the Gcf

Answers

for the lcm u should make a list for gcf you should do a factor tree

The width of the rectangle is 75% of its length, the length is 24, what's the area?

Answers

75% of 24 is 18 so the area is 432 units

S = a * b where a - length and b - width
a = 24
b = 0.75 * a
S = 24 * 24 * 0.75 = 432

Is the number 144 rational or irrational?

Answers

The number 144 is rational because it can be expressed by 144/1

Rational because there are more factors other than 144 and 1.

Write a quadratic equation whose roots are 1+8i and 1-8i

Answers

If 1+8i and 1-8i are the equation's roots, then the quadratic equation is

x² - 2x + 65 = 0.

What is meant by Quadratic equation?

A quadratic equation is written in standard form as y = ax² + bx + c, where a, b, and c are simple numbers. A quadratic equation's factored form is denoted by the expression y = (ax + c) (bx + d), where a, b, c, and d are simple numbers.

Any quadratic problem can be solved using the quadratic formula. The equation is first changed to have the form ax² + bx + c = 0, where a, b, and c are coefficients. After that, we enter these coefficients into the following formula: (-b ± √(b² - 4ac)) / (2a).

If 1+8i and 1-8i are the equation's roots, then:

x - (1 + 8i) = 0 and x - (1 - 8i) = 0 then we get

x - 1 - 8i = 0 and x - 1 + 8i = 0

⇒ (x - 1 - 8i)(x - 1 + 8i) = 0

⇒ x² - x + 8ix - x + 1 - 8i - 8ix + 8i + 64 = 0

⇒ x² - 2x + 65 = 0

The quadratic equation is x² - 2x + 65 = 0.

To learn more about quadratic equation refer to:

brainly.com/question/1214333

#SPJ2

Answer:

$x^2-2x+65=0$

Step-by-step explanation:

If the roots of this equation are 1+8i and 1-8i, then:

$x-(1+8i)=0\nx-(1-8i)=0$

And hence:

$x-1-8i=0\nx-1+8i=0\n(x-1-8i)(x-1+8i)=0\nx^2-x+8ix-x+1-8i-8ix+8i+64=0\nx^2-2x+65=0$

Hope this helps!

(Simplify the answer if possible)

5/7-2/5=

Answers

If you would like to calculate 5/7 - 2/5, you can do this using the following steps:

5/7 - 2/5 = 25/35 - 14/35 = (25 - 14) / 35 = 11/35

The correct result would be 11/35.

the answer is 11/35
hope i helped

4. Ellie uses 12.5 pounds of potatoes to make mashed potatoes. She uses one-tenth as many pounds of butter as potatoes. How many pounds of butter does Ellie use?

Answers

1.25 pounds (sorry i had to use more characters)

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