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2 years ago

Please help me solve this HCF

Mathematics

2 answers:

notsponge [240]2 years ago

8 0

Answer:

(x + y)

Step-by-step explanation:

Factorizing both terms :

x² - y² = (x + y)(x - y)
(x + y)² = (x + y)(x + y)

The HCF of the terms is (x + y).

Rina8888 [55]2 years ago

5 0

Answer:

(x+y)

Step-by-step explanation:

${x}^{2} - {y}^{2} = (x + y)(x - y)$

Thus, the HCF is (x+y).

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Maria throws a softball straight up into the air with an initial velocity of 50 ft/sec. The ball leaves her hand when it is exac

Nataly_w [17]

Answer:

The equation that models the situation is $s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}$ .

Step-by-step explanation:

Let suppose that effects from air friction and Earth's rotation can be neglected, so that the softball can be modelled experiment a free fall, that is, an uniform accelerated motion due to gravity. From we know the initial velocity and position of the position and we can determine the final position of the ball as a function of the final velocity:

$v_{f}^{2} = v_{o}^{2}+2\cdot a \cdot (s_{f}-s_{o})$ (1)

Where:

$s_{o}$ , $s_{f}$ - Initial and final position of the softball, measured in feet.

$a$ - Acceleration, measured in meters per square second.

$v_{o}$ , $v_{f}$ - Initial and final velocities of the softball, measured in feet per second.

If we know that $v_{o} = 50\,\frac{ft}{s}$ , $a = -32.174\,\frac{m}{s^{2}}$ and $s_{o} = 4\,ft$ , then the equation that models the situation is:

$v_{f}^{2} = 2500-64.348\cdot (s_{f}-4)$

Then, we clear the final position of the softball:

$-\frac{v_{f}^{2}-2500}{-64.348} = s_{f}-4$

$s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}$

The equation that models the situation is $s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}$ .

8 0

2 years ago

Martin wants to plot a graph to show the prices of different numbers of helmets. He has to plot the following points: (1, 24.97)

mash [69]

I believe its 0 to 100 at intervals of 25

5 0

3 years ago

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Jorge finds 56% of his 75 classmates likes salsa music and 80% of his 60 relatives like salsa music.How many more of Jorge’s rel

erica [24]

56% of 75 = 42
80% of 60 = 48

The question asks for the difference, so there are 6 additional people who like salsa music

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3 years ago

Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Writ

-Dominant- [34]

Answer:

x=105÷7

Step-by-step explanation:

You have to split the candy with 7 people and you can't split people

7 0

3 years ago

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How to do this question plz answer

ANEK [815]

9514 1404 393

Answer:

more than half are being used

Step-by-step explanation:

Perhaps easiest to understand is the most straightforward: figure the total number of seats and the number of seats being used. Check to see if that is more than half.

The 1 first-class carriage has usage of ...

(3/8)(64 seats) = 24 seats.

The 6 standard carriages have usage of ...

(7/13)(6 · 78 seats) = 252 seats.

The total number of seats used is ...

24 + 252 = 276 . . . . seats used

The total number of seats on the train is ...

1·64 +6·78 = 532 . . . . seats on the train

Half of the seats on the train will be ...

532/2 = 266 seats . . . . half the seats

The 276 used seats are more than half of the total number. More than half the seats are being used.

_____

Alternate solution

Another way to look at this is to compare utilization to 1/2 in each carriage class.

In first class 1/2 -3/8 = 1/8 of 64 seats = 8 seats fewer than 1/2 the seats are being used.

In standard class, 7/13 -1/2 = 14/26 -13/26 = 1/26 of 78 seats = 3 seats more than 1/2 the seats are being used. There are 6 standard class carriages, so 6·3 = 18 more than half the seats in the standard-class carriages are being used.

This number is 10 more than the 8 under-utilized seats in first class, so more than half the train seats are being used.

8 0

3 years ago

Please help me solve this HCF​

Please help me solve this HCF