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2 years ago

2x + 3y = -x + 2y = 1

Mathematics

1 answer:

Rina8888 [55]2 years ago

3 0

Answer:what’s the question?

Step-by-step explanation:

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I need help with this. im confused.

lorasvet [3.4K]

Ok you have to put 0000000000

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2 years ago

Parabola with focus (2, 1) and directrix x=-8

scoray [572]

Consider we need to find the equation of the parabola.

Given:

Parabola with focus (2, 1) and directrix x=-8.

To find:

The equation of the parabola.

Solution:

We have directrix x=-8. so, it is a horizontal parabola.

The equation of a horizontal parabola is

$(y-k)^2=4p(x-h)$ ...(i)

where, (h,k) is center, (h+p,k) is focus and x=h-p is directrix.

On comparing focus, we get

$(h+p,k)=(2,1)$

$h+p=2$ ...(ii)

$k=1$

On comparing directrix, we get

$h-p=-8$ ...(iii)

Adding (ii) and (iii), we get

$2h=2+(-8)$

$2h=-6$

Divide both sides by 2.

$h=-3$

Putting h=-3 in (ii), we get

$-3+p=2$

$p=2+3$

$p=5$

Putting h=-3, k=1 and p=5 in (i), we get

$(y-1)^2=4(5)(x-(-3))$

$(y-1)^2=20(x+3)$

Therefore, the equation of the parabola is $(y-1)^2=20(x+3)$ .

6 0

2 years ago

The values of x and y are proportional. Determine the constant of proportionality(k)

Studentka2010 [4]

<h3>The constant of proportionality is k = 5</h3>

For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.

For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.

Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.

You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.

side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.

3 0

3 years ago

How do you calculate the population mean

bazaltina [42]

Add up all the numbers then divide how many ever digits there are

7 0

3 years ago

What is the slope of the line?

Yanka [14]

Answer:

$m=\frac{4}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-2, 0)

Point (3, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute [SF]: $m=\frac{4-0}{3+2}$
Subtract/Add: $m=\frac{4}{5}$

3 0

3 years ago