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Nataly_w [17]
2 years ago
14

If the two lines below are perpendicular and the slope of the red line is -7,

Mathematics
1 answer:
Tems11 [23]2 years ago
5 0

Answer:

C. ⅐

Step-by-step explanation:

Recall: the slope of a line that is perpendicular to another is the negative reciprocal of the slope of the other line that it is perpendicular to.

Thus:

Slope of red line = -7

The green line that is perpendicular to the red line will have a slope that is the negative reciprocal of -7.

Negative reciprocal of -7 = ⅐

The slope of the green line is therefore ⅐

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A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
malfutka [58]
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 :)
7 0
3 years ago
WILL GIVE BRAINLIEST
____ [38]

Answere:

its black

Step-by-step explanation:

black is better and im right

7 0
3 years ago
What is the equation of a circle that has a diameter of 10 units if its center is at (3,8)?
astraxan [27]

Answer:

Step-by-step explanation:

(x-3)^2+(y-8)^2 = 25

6 0
3 years ago
Factor the trinomial.<br><br> x2 + x − 2
elena-14-01-66 [18.8K]

Answer:

Is there anything that explains what x equals?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
2x+10<br> 5x-15<br> 8x+6<br> 2x-8
statuscvo [17]

x= 7/13. Hope I helped you !!!!

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3 years ago
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