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skelet666 [1.2K]
2 years ago
7

In Exercises 8-10, sketch the figure described.

Mathematics
1 answer:
Lunna [17]2 years ago
6 0

The sketch answers to question 8, 9 and 10 is given in the image attached.

<h3>What is an intersecting lines?</h3>

A link is known to be intersecting if two or more lines are said to have cross one another in a given plane.

Note that the intersecting lines are known to be one that often share a common point, and it is one that can be seen on all the intersecting lines, and it is known to be the point of intersection.

Looking at the image attached, you can see how plane A and line c intersecting at all points on line c and also GM and GH and line CD and plane X as they are not intersecting

Therefore, The sketch answers to question 8, 9 and 10 is given in the image attached.

Learn more about intersecting  lines from

brainly.com/question/2065148

#SPJ1

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3x3 + 18x2 + 232 – 4 is<br> +<br> divided by x + 4
fiasKO [112]

Answer:

3x^2+6x-24+324/x+4

Step-by-step explanation:

You can use synthetic division:

4 0
2 years ago
A scientist started with a sample of 8 cells. The sample increased as shown in the table.
Alekssandra [29.7K]

Answer:

100000 = 8 (4) ^t

Step-by-step explanation:

We are multiplying by 4 each time

y = a (4)^t

The initial amount is 8

y = 8 (4)^t

We want to get to 100000

100000 = 8 (4) ^t

5 0
3 years ago
An = a1 + (n - 1)d
yarga [219]

Answer:

The car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

Step-by-step explanation:

Given that a car travels 300 meters in the first minute, so

  • a₁ = 300

Each minute after, the car travels 120 meters. , so the sequence becomes

a₁, a₂, a₃, a₄, a₅, ...

300, 420, 540, 660, 780, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

20-300=120,\:\quad \:540-420=120,\:\quad \:660-540=120,\:\quad \:780-660=120

The difference between all the adjacent terms is the same and equal to d=120

now, we have

  • a₁ = 300
  • d = 120

so substituting a₁ = 300 and d = 120 in the nth term of the sequence

a_n=a_1+\left(n-1\right)d

a_n=120\left(n-1\right)+300

a_n=120n+180

Thus, the nth term of the sequence is:

a_n=120n+180

<u>Determining the distance the car travels in 15 minutes</u>

As we have already determined the nth term of the sequence such as

a_n=120n+180

now substituting n = 15

a_{15}=120\left(15\right)+180

a_{15}=1800+180

a_{15}=1980

Therefore, the car will travel 1980 meters in 15 minutes.

Hence, option 'D' is true.

6 0
3 years ago
Write all factors of 72
zvonat [6]

Answer:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

7 0
3 years ago
Read 2 more answers
On a map, each inch represents 20 miles. If two cities are 5 inches apart on the map, how far apart are the two cities in miles?
loris [4]

If 1 inch represents 20 miles, then 5 inches should represent <em>5 times as many miles</em>, or 20 x 5 = 100 miles.

8 0
3 years ago
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