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posledela
3 years ago
15

Evaluate the expression when m= 6 and n= 64.

Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

Answer:

What's the expression?

Step-by-step explanation:

You didn't attach the expression anywhere.

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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
-7 exponent 2 - x + 6x + x exponent 2
s2008m [1.1K]

Answer:

x²+5x-49

Step-by-step explanation:

-7² -x+6x+x²

combine like terms

-x+6x is 5x

simplify -7²  is -49

now rewrite the equation

x²+5x-49

5 0
3 years ago
Read 2 more answers
Which equation could represent "the area of a square as a function of a side"?
Ratling [72]
Let side = x
area = x^2
6 0
3 years ago
the surface of a rectangle is 352mm squared. two of the dimensions are 4 mm 8mm. find the measure of the other dimension​
Nostrana [21]

Answer:

pihrfghb4yysrjrhna4r\h

Step-by-step explanation:

4 0
3 years ago
Solve the equation. x2 + 8x − 9 = 0 A) x = 1 B) x = 9 C) x = 9 or x = −1 D) x = −9 or x = 1
yarga [219]

Answer:D. X= -9 or x= 1

X2 + 8x - 9 = 0

7 0
3 years ago
Read 2 more answers
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