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Free_Kalibri [48]
3 years ago
11

Help with the perpendicular lines please

Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Answer:

Red and Green are parallel

Black and Blue are perpendicular

Step-by-step explanation:

Parallel lines need to have the same slope. Lines red and green both have a slope of 1/2.

The slopes of two lines that are perpendicular have to be opposite reciprocals, and must be multiplied together to get -1. Line black has a slope of -4, and line blue has a slope of 1/4. Both of them multiplied together equals -1.

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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
elixir [45]
This can be solved in two ways: With heavy tools or with just algebra. 
What is your level? Have you studied calculus? 

With pure algebra: 
We need to find the maximum of the function <span>h = −16t^2 + 36t + 5
Lets take out -1 for simplicity: 
</span><span>h = −(16t2 - 36t - 5) 
For now lets just work with this: </span>16t^2 - 36t - 5
16t^2=(4t)^2 
(4t-x)^2= 16t^2-2*4xt+x^2
we have -36t so x should be 4.5 as 2*4*4.5=36

Lets see what we have now:
16t^2 - 36t - 5= (4t-4.5)^2 is this true? No but close
(4t-4.5)^2= 16t^2- 2*4*4.5t +4.5^2= 16t^2-36t+20.25

16t^2 - 36t - 5   and 16t^2-36t+20.25 nearl the same just take away 25.25 from the right hand side

Getting long, just stay with me: 
16t^2 - 36t - 5= (4t-4.5)^2 - 25.25

h= -{(4t-4.5)^2 -25.25}
h=-(4t-4.5)^2 + 25.25

We want to find the maximum of this function. -(4t-4.5)^2 this bit is always negative or 0, so it maximum is when it is 0. Solve: 4t-4.5=0
t=1,125
7 0
3 years ago
Work out the area of a rectangle with base 18mm and perimeter 38mm
frez [133]

Answer:

684 mm squared

Step-by-step explanation:

Very simple. It's 18mm multiplied by 38 mm.

18 mm * 38 mm = 684 mm2

5 0
3 years ago
What is 0.55 hectometers expressed in decimeters? a. 550 dm b. 5.5 dm c. 55 dm d. 0.00055 dm please select the best answer from
zubka84 [21]

The correct option is a. 550 dm.

The 0.55 hectometers expressed in decimeters are 550 dm.

<h3>What is unit conversion?</h3>

Unit conversion is a multi-step process that involves multiplying or dividing by a numerical factor and, more specifically, a conversion factor.

  • The process may also necessitate selecting the appropriate amount of significant digits and rounding.
  • Different conversion units are employed to measure various parameters.
  1. Measuring Temperature
  2. Measuring Length
  3. Measuring Capacity
  4. Measuring Weight
  • Conversion of units is defined as the process of converting between different units & measurements of a given quantity using multiplication or division.
  • Conversion is the method of changing the amount of one form in terms of mathematics, such as inches to millimeters or liters to gallons.
  • Units are used in the measurement of length, weight, capacity, temperature, and speed.

To know more about unit conversion, here

brainly.com/question/13016491

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6 0
2 years ago
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
FromTheMoon [43]

Answer:

y = x + 2

Step-by-step explanation:

Point (0, 2) :

y = x + 2

2 = 0 + 2

2 = 2

Point (4, 6) :

y = x + 2

6 = 4 + 2

6 = 6

7 0
3 years ago
James has 27 cups of flour how many quarts and cups of flour does James have
shtirl [24]

Answer:

He has 27 cups of flour.

He has 6.75 quarts of flour.

Step-by-step explanation:

There are 4 cups in a quart.

27 divided by 4 is 6.75.

8 0
4 years ago
Read 2 more answers
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