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3 years ago

Can u help me please

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

8 0

Answer:

18. y = -5

19. y = 4x-10

Step-by-step explanation:

Parallel lines have the same slope. You can find the slope from the equation y=mx+b. It is the m value.

For 19, the slope is 4 since y=4x has m = 4. To find a line parallel to it that crosses through the point (3,2), substitute m = 4 and (3,2) into the point slope formula.

$y-y_1=m(x-x_1)\\y - 2 = 4(x-3)\\y-2 = 4x -12\\y = 4x - 10$

It simplifies to y = 4x - 10.

For equations like 18 where y = 8 there is no m value. There is no slope. This is a horizontal line through 8 on the y-axis. A parallel line is another horizontal line through the y value of (-6,-5). The line is written he same way as y = -5.

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Maria's height while jumping on a a trampoline can be modeled by the equation h=-16t^2+18t+5. Where t=time in seconds and h=heig

Vadim26 [7]

Answer:

10.06 ft

Step-by-step explanation:

Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.

The equation for the height reached by Maria on the trampoline is given as:

$h=-16t^2+18t+5$

To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).

Her velocity can be found by differentiating her height i.e. dh/dt:

$v = \frac{dh}{dt} = -32t + 18$

Therefore, when v = 0:

$0 = -32t+ 18\\\\=> 32t= 18\\\\t = 18 / 32 = 0.5625 secs$

It takes her 0.5625 seconds to get to her maximum height.

Therefore, her height at that time (0.5625 seconds) is:

$h=-16(0.5625)^2+18(0.5625)+5\\\\h = -16 * (0.3164) + 10.125+5\\\\h = -5.0624 + 15.125\\\\h = 10.06 ft$

Therefore, her maximum height is 10.06 ft.

3 0

3 years ago

How do I solve: 15 - w/4 = 28 (this is 2 step equations)

kenny6666 [7]

First we need to isolate the variable so we add 15 to both sides which is
w/4=43 then we need to multiply by 4 to both sides so its 4w=172
then divide by 4 which is 43 so the answer is w=43

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3 years ago

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A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is2

Mamont248 [21]

Answer:

Step-by-step explanation:

Simply put, it is similar to finding the area of a circle.

Therefore, a=pi*r^2

a=pi*23^2

a=529pi

a=1661.9 ft^2

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2 years ago

Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare. The formula i

Aleonysh [2.5K]

<span>m = 4a + 2c

a = 25; c = 5

Replace a with 25. Replace c with 5.
Then evaluate the expression.

m = 4 * 25 + 2 * 5

m = 100 + 10

m = 110

Answer: 110 meatballs are needed.</span>

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3 years ago

1E. The number 2A5A0A2 is divisible by 99. What is the digit A?

kirza4 [7]

Answer: A = 3

Step-by-step explanation:

The digit is 3. If A is 3, the number

2A5A0A2 becomes 2353032. We then divide by 99 and this will be:

= 2353032/99

= 23768

If we use 1, we'll have 2151012. Dividing by 99 gives:

= 2151012 / 99

= 21727.39

If we use 2, we'll have 2252022. Dividing by 99 gives:

= 2252022 / 99

= 22747.69

If we use 4, we will have 2454042. Dividing by 99 gives:

= 2454042 / 99

= 24788.30

If we use 5, we will have 2555052. Dividing by 99 gives:

= 2555052 / 99

= 25808.61

If we use 6, we will have 2656062. Dividing by 99 gives:

= 2656062 / 99

= 26828.91

If we use 7, we will have 2757072. Dividing by 99 gives:

= 2757072 / 99

= 27849.21

If we use 8, we will have 2858082. Dividing by 99 gives:

= 2858082 / 99

= 28869.52

If we use 9, we will have 2959092. Dividing by 99 gives:

= 2959092 / 99

= 29889.82

If we use 0, we will have 2050002. Dividing by 99 gives:

= 2050002 / 99

= 20707.09

Therefore, A is 3 as it gives 2353032 which divides 99 successfully without remainder.

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2 years ago