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mrs_skeptik [129]
3 years ago
15

How to draw a plane that contains A, D, and C

Mathematics
1 answer:
Goryan [66]3 years ago
4 0
Hmm I'm sorry ill keep on trying but can you help me?
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(H/6 )- (1)<br> Solve for H<br> Please help me
likoan [24]

All you need to do for this is remove the parenthese and your answer will be \frac{H}{6} -1 because that's the furthest it can be simplified.

4 0
3 years ago
A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
3 years ago
A sum of money amounting to $4.15 consists of dimes and quarters. If there are 28
anastassius [24]

Answer:

there are 9 quarters and 19 dimes

Step-by-step explanation:

Let x be the number of dimes and y the number of quarters

-dimes: 0.1x

-quarters: 0.25y

-the total amount of coins : x + y = 28  

=> x = 28 - y

We have the equation:

0.25y + 0.1x = 4.15

0.25y + 0.1(28 - y) = 4.15

0.25y + 2.8 - 0.1y = 4.15

0.15y = 1.35

y = 9

x = 28 - y

  = 28 - 9

  = 19

3 0
3 years ago
Simplify the expression
Grace [21]
(-5+8*i)+(-9+5*i) evaluates to <span>-14+13i</span>
6 0
3 years ago
Explain what is the slope, and what is the y-intercept.
cluponka [151]

Answer:

slope :

The steepness of a line expressed as a ratio, using any two points on the line.

y-intercept

The value of  y  at the point where a curve crosses the y-axis.

Step-by-step explanation:

8 0
3 years ago
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