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Maurinko [17]
3 years ago
10

Which ordered pair is the solution to the system of equations?

Mathematics
1 answer:
AveGali [126]3 years ago
7 0
The ordered pair that is a solution to a system of equations would be the point of intersection of these equations. There are a lot of method to determine this pair. We can graph it or solve it manually. One method is as follows:

x−y=−4
y = x +4

<span>2x+y=−8
2x+ (x+4) = -8
3x + 4 = -8
3x = -12
x = -4

y = x + 4
y = -4 +4
y = 0

Therefore, the ordered pair would be (-4,0). Hope this answers the question.




</span>
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A parabola can be drawn given a focus of (5, -3) and a directrix of y=1. Write the equation of the parabola in any form.
Anna71 [15]

Answer:

(x²-10x+33)/(-8) = y

Step-by-step explanation:

The distance between any point on a parabola from both its focus and directrix are the same.

Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,

\sqrt{(x-5)^2+(y-(-3))^2}is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.

Equating the two equations given, we have

\sqrt{(x-5)^2+(y-(-3))^2} = |y-1|

square both sides to get

(x-5)²+(y+3)²=(y-1)²

expand the y components

(x-5)² + y²+6y+9 = y²-2y+1

subtract y²+6y+9 from both sides

(x-5)² = -8y - 8

expand the x components

x²-10x+25 = -8y - 8

add 8 to both sides to isolate the -8y

x²-10x+33 = -8y

divide both sides by -8 to isolate y

(x²-10x+33)/(-8) = y

6 0
2 years ago
Sue Brown is a salesperson at a car dealership. She earned a gross pay of $8000 for the month of June. Her state tax rate is 3.5
Neporo4naja [7]

Sue Brown owes $280.00 in state taxes for the month.

Step-by-step explanation:

Given,

Gross pay of Sue in June = $8000

Tax rate = 3.5%

As full amount is taxable; therefore

Amount of tax to be paid = 3.5% of pay of June

Amount of tax to be paid = \frac{3.5}{100}*8000

Amount of tax to be paid = 0.035*8000

Amount of tax to be paid = $280.00

Sue Brown owes $280.00 in state taxes for the month.

Keywords: percentage, multiplication

Learn more about percentage at:

  • brainly.com/question/11921476
  • brainly.com/question/1232765

#LearnwithBrainly

4 0
3 years ago
What product have the same sign as ( -2 3/7 ) (-6/11) ?
motikmotik

Answer:

1. -7/8

2.-9/14

3. 9/14

4. 7/8

2. what is the product of -2/7 and -3/7?

1. -7/8

2.-6/49

3. 6/49

4. 7/8

How do the expressions 72÷ 9 and -72÷ (-9) compare when they are evaluated?

1. They have different values and are different signs.

2. They have different values but are the same sign.

3. They have the same value but are different signs.

4. They have the same value and the same sign.

Step-by-step explanation:

Multiplying fractions: multiply numerators and multiply denominators

1. 3/4 X -6/7 = -18/28 = -9/14

2. -2/7 X -3/7 = 6/49

3. 4 because 72/9 is 8.  -72/-9 is 8.  Two negatives makes a positive when multiplying and dividing.

7 0
3 years ago
Factor Completely: x2 - 81 <br> A.(x-9)(x+9)<br> B.(x+9)(x+9)<br> C.(x-9)(x-9)<br> D.(9-x)(9+x)
Hunter-Best [27]

Answer is A

The binomial can be factored using the difference of squares formula a2-b2 = (a+b) (a-b) where a=x and b=9

(X+9) x(x-9)

7 0
3 years ago
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Some one help me with my bro’s hw
Liula [17]

Answer:

<em>475604-71343= 404357</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em><</em><em>3</em>

4 0
2 years ago
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