MATHEMATICS HIGH SCHOOL

I need the coordinates for these

3x-2y=2

5x=5y+10

Answers

Answer 1

Answer:

Answer:

solution is (-2, -4)

Step-by-step explanation:

I assume you want the solution?

so we want to find the intersection.

3x - 2y = 2

5x = 5y + 10

simplify the last equation

x = y + 2 by dividing out the 5

substitute

3*(y + 2) - 2y = 2

3y + 6 - 2y = 2

y + 6 = 2

y = -4

x = -4 + 2 = -2

solution is (-2, -4)

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Carey already owns 2 necklaces, and additional necklaces are priced at 2 for a dollar. With $2 to spend on new necklaces, how many total necklaces can Carey own? Write and solve an equation to find the answer.

Answers

2x=2. Solving this, you get x=1. You then add 2 to 1 because she already has 2 necklaces to get that she can have a total of 3 necklaces.

Answer:

Step-by-step explanation:

2x=2. Solving this, you get x=1. You then add 2 to 1 because she already has 2 necklaces to get that she can have a total of 3 necklaces.

Part B: The area of a rectangle is (81x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

The dimensions of the rectangle are 9x + 2y units and 9x - 2y units.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

To determine the dimensions of the rectangle, we need to factor the area expression completely. We can use the difference of squares formula to do this. The formula is:

a2 - b2 = (a + b)(a - b)

We are given that;

Area of rectangle= (81x2 − 4y2) square units.

Now,

We can identify that 81x2 and 4y2 are both perfect squares. The square roots of them are 9x and 2y respectively. So we can rewrite the area expression as:

81x2 - 4y2 = (9x)2 - (2y)2

Using the difference of squares formula, we can factor this expression as:

(9x)2 - (2y)2 = (9x + 2y)(9x - 2y)

We can check this by multiplying them and getting back the original area expression.

(9x + 2y)(9x - 2y) = 81x2 - 18xy + 18xy - 4y2 (9x + 2y)(9x - 2y) = 81x2 - 4y2

Therefore, by the given area the answer will be 9x + 2y units and 9x - 2y units.

Learn more about the area;

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Hello,

if the aim is to factorise:
81x²-4y²=(9x)²-(2y)²=(9x-2y)(9x+2y)

But the sides may also be and an other expression....

X+2y=14
x-3y=-11
substitution

Answers

To solve this system of equations using substitution, we can solve one equation for one variable and substitute it into the other equation. Let's solve the first equation for x:

x = 14 - 2y

Now, substitute this expression for x in the second equation:

(14 - 2y) - 3y = -11

Simplify the equation:

14 - 2y - 3y = -11

Combine like terms:

14 - 5y = -11

Now, solve for y:

-5y = -11 - 14

-5y = -25

y = -25 / -5

y = 5

Now, substitute the value of y back into the first equation to solve for x:

x + 2(5) = 14

x + 10 = 14

x = 14 - 10

x = 4

So, the solution to the system of equations is x = 4 and y = 5.
Consider brainliesttt

Use the zeros of the following quadratic to find the x-value of the vertex.y = x2 – 4x – 5
A.5
B.2
C.–2
D.–5

Answers

1. y = x^2 - 4x - 5
= x^2 - 4x + 4 - 4 - 5
= (x^2 - 4x + 4) -4 - 5
y = (x-2)^2 - 9 Here, the vertex is at (2, -9)

2. x = 2 (the vertical line that goes through the vertex)
3. The graph of this function is called a parabola. To graph a parabola, use
its vertex (in this case, (2, -9) ) and y-intercept (y = -5). The y-intercept is the constant in the given equation. Use the fact that the vertical line through the vertex is a line of symmetry. Plot the point corresponding to the y-intercept that lies on the other side of the vertical line x = 2.

4. The graph is translated 2 units to the right and 9 units down.

Answer:

The answer is B.) 2

(on e2020)

merchandise which is regularly $4.88 is on sale for 25% off. a customer buys 3 items. what is the total for 3 items?

Answers

If you would like to know the total price for 3 items, you can calculate this using the following steps:

25% of $4.88 = 25/100 * 4.88 = $1.22
$4.88 - $1.22 = $3.66

3 * $3.66 = $10.98

The correct result would be $10.98.

Question is on a picture