What is the taxidistance between (2, 11) and (17, 40)?

muminat

They will need 60 bags o sand because the new area is 13.5 feet by 18 feet.
Just multiply everything by 1.5.

5 0

3 years ago

A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated

zysi [14]

Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)

8 0

3 years ago

I WILL GIVE BRIANLIEST FOR BEST ANSWER!!!

zhuklara [117]

Answer:

Figure A

Step-by-step explanation:

A regular polygon is a polygon that has equal sides and angles.

By looking at the choices you can see the Rhombus or square has all equal sides and all angles are the same.

Hope this helps!
Make sure to put this in notes for later <3

Xx

3 0

2 years ago

The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−2, 2) and goes to Q(5, 2). It goes from Q to R(5

love history [14]

Answer:

The total length (in units) of the biking trail is 17 units.

Step-by-step explanation:

o find distance between points A(x¹, y¹) and B(x², y²), we use formula:

$d = \sqrt{(x^{2}-x^{1})^{2}+(y^{2}-y^{1})^{2}}$

The trail starts at P(−2, 2) and goes to Q(5, 2).

So, the distance PQ will be calculated as:

$PQ = \sqrt{(5^{}-(-2)^{})^{2}+(2^{}-2^{})^{2}$

$PQ = \sqrt{(49^{}+0)$

PQ = 7 units

Then the trail goes from Q(5, 2) to R(5, −5).

So, the distance QR will be calculated as:

$QR = \sqrt{(x^{2}-x^{1})^{2}+(y^{2}-y^{1})^{2}}$

$QR = \sqrt{(5^{}-5^{})^{2}+(-5^{}-2^{})^{2}$

QR = 7 units

And then from R(5, −5) to S(8, −5).

$RS = \sqrt{(8^{}-5^{})^{2}+(-5^{}-(-5)^{})^{2}}$

QR = 3 units

Hence, the total length of the biking trail is:

PQ + QR + QR = 7 + 7 + 3 = 17 units

Keywords: distance formula, length

Learn more about distance formula to find length from brainly.com/question/10903929

#learnwithBrainly

4 0

3 years ago

Read 2 more answers

Which is the function of x?

mash [69]

Answer:

Step-by-step explanation:A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.

4 0

4 years ago