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patriot [66]
3 years ago
11

A ship left the port and sailed 40 kilometers south, then 36 kilometers north. What integer represents where the ship is located

in reference to zero (the port)?
Mathematics
2 answers:
nekit [7.7K]3 years ago
8 0
4 because if the ship went 40 kilometers south, then 36 north, it would be traveling back to its starting point, so tok would subtract 36 from 40 and get 4. Hope this helped!!
Usimov [2.4K]3 years ago
6 0

Answer:

It would be at -4 or (coordinates: 0, -4)

Step-by-step explanation:

0 - 40 = -40

-40 + 36 = -4

so -4

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A basketball player shoots a basketball that reaches a height above 15 feet before landing back on the ground exactly after 7 se
Papessa [141]

Answer:

I and IV

Step-by-step explanation:

Since the height of the basketball reaches above 15 feet, hence the maximum of the function should be greater than 15 feet. Also at 7 seconds, the ball is on the ground, hence f(7) = 0 feet

The maximum of a function is at x = -b/2a

i) f(x) = -(x-3)² + 16 = -(x² - 6x + 9) + 16 = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 16 = 16 > 15

Also f(7) = - (7 - 3)² + 16 = 0

Hence this option is correct

ii) f(x) = -x² + 8x - 7

The maximum of a function is at x = -b/2a = -8 / 2(-1) = 4

f(4) = -4² + 8(4) - 7 = 9 < 15   not correct

Also f(7) = - 7² + 8(7) - 7 = 0

Hence this option is not correct since the maximum f(4) = 9 < 15  

iii)  f(x) = -(x-3)² + 14 = -(x² - 6x + 9) + 14 = -x² + 6x + 5

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 14 = 14 < 15

Also f(7) = - (7 - 3)² + 14 = -2

Hence this option is not correct since the maximum f(4) = 9 < 15 and f(7) ≠ 0

iv)f(x)  = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3)² + 6(3) + 7 = 16 > 15

Also f(7) = - (7)² + 6(7) + 7 = 0

Hence this option is correct

3 0
3 years ago
?????????????????????????????///
Scilla [17]

Answer:

48

Step-by-step explanation:

find 60 on the y axis (for maths) then draw a line to where it meets the line, and see what value it gives. it gives us 48

3 0
2 years ago
Explain how you can use place value patterns to describe how 50 and 5000 compare
salantis [7]
The place value pattern is a system of patterns of tens in which every place value is ten times the value on its right. The place value pattern system is used to <span>write numbers that are 10 times as much as or 1/10 of any given number. 
The place values in the pattern are: ones, tens (10*ones), hundreds (10*tens), thousands (10*hundreds),...
So, 50 = 5 tens 
       5000= 5 thousands, 0 hundreds, 0 tens, 0 ones

So, 5000 > 50</span>
3 0
3 years ago
A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x
Arturiano [62]

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

6 0
3 years ago
To make sure that a given parallelogram is a rectangle, at least how many of its angles must measure 90?
Anna71 [15]

Answer:

The answer is 1 side must measure 90

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
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