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3 years ago

Solve the system using elimination. x − y = 4 −x − y = 6

Mathematics

1 answer:

kap26 [50]3 years ago

4 0

X= 2 and y=-2 check by multiplying

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My friend sets out walking at a speed of $3$ miles per hour. I set out behind her $5$ minutes later at $4$ miles per hour. When

r-ruslan [8.4K]

Answer: The answer is 0.25 miles.

Step-by-step explanation: Given that my friend started walking at a speed of 3 miles per hour and I started 5 minutes after him at a speed of 4 miles per hour. We need to find the number of miles my friend travelled when I started walking.

Since I started 5 minutes after than my friend, so we are to find the distance travelled by my friend in 5 minutes.

In 1 hour, i.e., 60 minutes, distance travelled by my friend = 3 miles.

In 1 minute, distance travelled by my friend is

$\dfrac{3}{60}=\dfrac{1}{20}~\textup{miles}.$

Therefore, distance travelled by my friend in 5 minutes will be

$\dfrac{1}{20}\times 5=\dfrac{1}{4}=0.25~\textup{miles}.$

Thus, the answer is 0.25 miles.

3 0

2 years ago

Read 2 more answers

Find the standard form of the circle x2 + y2 – 6x + 10y + 24 = 0 by completing the square.

hichkok12 [17]

Answer:

$(x-3)^2+ (y+5)^2=10$

Step-by-step explanation:

Given the equation of the circle: $x^2 + y^2 - 6x + 10y + 24 = 0$

We wish to express it in a Standard form:

We begin by re-arranging:

$x^2 - 6x + y^2 + 10y = - 24$

Next, divide the coefficient of x by 2, square it and add it to both sides.

Do the same for y.

$x^2 - 6x +(-3)^2+ y^2 + 10y+5^2 = - 24+(-3)^2+5^2$

Next, we factorize

$(x-3)^2+ (y+5)^2 = - 24+9+25\\(x-3)^2+ (y+5)^2=10$

This is the standard form.

6 0

3 years ago

I need help on number 11! Can anyone help?

Zanzabum

I might be wrong but I think you divide each number by each other to get the answers

8 0

2 years ago

(((3x)^(-1)-(4y)^(-1)))/((9x)^(-2)-(16y)^(-2))..

Ivanshal [37]

Simplified: xy/3y+4x

factored: 1/(3/x)+(4/y)

8 0

2 years ago

What is the solution if any to the inequality |3x|≥ 0?

ololo11 [35]

Answer:

<h2>x - any real number</h2>

Step-by-step explanation:

$\text{We know:}\\\\|a|\geq0\ \text{for any real number}\ a\\\\|3x|\geq0\to x\in\mathbb{R}$

5 0

3 years ago

Read 2 more answers