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netineya [11]
2 years ago
6

A marine biologist needs to put a GPS device underwater, halfway between two tracking stations to help document great white shar

k movements. Tracking station #1 is located at (–50, –25) and tracking station #2 is at (200, –65). Where does the GPS device need to be located?
Mathematics
1 answer:
Akimi4 [234]2 years ago
3 0

The location of the GPS device will be ( 75,-45).

<h3>What is coordinate geometry?</h3>

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

The given coordinates of the stations are ( -50,-25) and (200,-65).

The midpoints for the two coordinates will be calculated by the formula given below:-

\rm Mid points= (\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})

\rm Midpoint= \dfrac{-50+200}{2},\dfrac{-25-65}{2}

\rm Midpoint =\dfrac{150}{2},\dfrac{-90}{2}

Midpoints = 75, -45

Therefore the location of the GPS device will be ( 75,-45).

To know more about Coordinate geometry follow

brainly.com/question/18269861

#SPJ1

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The diagonals of a trapezoid are equal.<br><br> A) always<br> B) sometimes<br> C) never
saveliy_v [14]
I am mostly sure it's b. Good luck! :3
4 0
3 years ago
Read 2 more answers
Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza. Mary received a gift card of $11
stepan [7]

Answer:

a)Amount of money left on Keith's card in dollars = $90 - $15x

= $(90 - 15)

b) Amount of money left on Mary's card in dollars= $110 - $20x

= $(110 - 20x)

c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

$90 - 15x = $110 - 20x

Step-by-step explanation:

Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.

For Keith

Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza.

x numbers of pizza costs = $15x

Hence, the amount of money left on Keith's card after purchasing x pizzas =

$90 - $15x

For Mary,

Mary received a gift card of $110 for a different pizza restaurant. The restaurant charges $20 per pizza.

Hence, x number of pizzas cost =$20 × x

= $20x

Therefore, the amount of money left on Mary's card after she buys x pizzas =

$110 - $20x

Amount of money left on Keith's card in dollars = __________

Amount of money left on Mary's card in dollars=____________

Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

To find the equation that shows that the two cards have the same amount of money =

Equation 1 = Equation 2

$90 - 15x = $110 - 20x

Collect like terms

-15x + 20x = $110 - $90

5x = 20

x = 20/5

x = 4

Hence, anytime Keith and Mary buys 4 pizzas their gift card will have the same amount of money left on them.

5 0
4 years ago
Please help i will give brainliest:an observer 160 meters away sees a rocket launch into the air. the rocket reaches its maximum
ira [324]

The maximum height of the rocket path is : 597 meters

<h3>Meaning of Maximum height</h3>

Height can be defined as the vertical distance from a point of reference. it can also be said to be the difference between two points being measured vertically

Maximum height is the max or highest vertical distance between two points. its the point a thing gets to vertically that serves as the limit to which it can go.

In conclusion, The maximum height of the rocket path is 597 meters\

Learn more about maximum height: brainly.com/question/12446886

#SPJ1

5 0
2 years ago
Which expression belongs in the box
dsp73

it should be 14 becuse 7 times 2 is 14 so x=14 i took the test

4 0
3 years ago
What is the sum of the first 10 terms of the geometric sequence 4, -12, 36, -144
Oksanka [162]

The sum of the first 10 terms of the sequence 4, -12, 36, -144 is -59058

The given geometric sequence is:

4, -12, 36, -144

The first term, a = 4

The common ratio,

r = \frac{-12}{4}\\r = -3

Since we are looking for the sum of the first 10 terms

The number of terms, n = 10

The sum of the first n terms of a geometric sequence is given as:

S_n = \frac{a(1-r^n)}{1-r} \\S_n = \frac{4(1-(-3)^{10}}{1-(-3)} \\S_n = \frac{4(1-59049)}{4} \\S_n = -59048

The sum of the first 10 terms of the sequence 4, -12, 36, -144 is -59058

Learn more here: brainly.com/question/15626828

3 0
3 years ago
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