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Tasya [4]
3 years ago
7

If DF = 9x - 39, find EF

Mathematics
1 answer:
andrezito [222]3 years ago
8 0

Answer:

EF = 58 units

Step-by-step explanation:

Given:

DF = 9x - 39

DE = 47

EF = 3x + 10

Find:

EF

Computation:

DF = DE + EF

9x - 39 = 47 + 3x + 10

9x - 3x = 47 + 39 + 10

6x = 96

x = 16

EF = 3x + 10

EF = 3(16) + 10

EF = 58 units

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Tell whether the points appear to represent a linear function, an exponential function, or neither? Explain please.
mario62 [17]

Answer:

Exponential

Step-by-step explanation:

Linear is easy to remember because it goes in a straight LINE.

Only other option is a quadratic and this does not create a parabola

8 0
2 years ago
Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______
Vesna [10]

Answer:

c = 11

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

a = b= 5

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

a + b > c

a + c > b

b + c > a

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: a = b= 5

5 + 5 > c ===> 10 > c

5 + c > 5  ===> c > 5 - 5 ===> c > 0

5 + c > 5  ===> c > 5 - 5 ===> c > 0

The results of the inequality is: 10 > c and c > 0

Rewrite as: c > 0 and c < 10

0 < c < 10

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

c = 11, since no options are given

8 0
2 years ago
The fifth term of a geometric series is 405 and the sixth term is 1215. Find the sum of the first nine terms. Don't know how to
Margarita [4]
Since the sixth term is 1215 and the 5th term is 405, we know each term is 3 times more than the last.
Let 'n' represent the first term, then the sum of the first 9 terms can be written as:
n+3n+9n+27n+81n+243n+729n+2187n+6561n
which sinplifies to 9841n
since each term is 3 times the last, the first term must be 405 divided by 3, 4 times in total, which is 5
Now subsitute 'n' for 5, and we get 9841(5)
which is 49205 which is the answer.

Hope this helps
5 0
3 years ago
Order these numbers from least to greatest.
PSYCHO15rus [73]
<h3>Answer:  3.1691, 5.8, 5.802, 5.82</h3>

Explanation:

The smallest item is 3.1691 which is listed first. This is because 3 is smaller than 5.

Now to sort the values that start with 5.

Think of 5.82 as 5.820; think of 5.8 as 5.800

We can see that 820 is larger than 800, which means 5.820 is larger than 5.800; in short, 5.82 > 5.8

Through similar logic, we can see that 5.82 > 5.802 and it further means 5.82 is the largest item. The next largest is 5.802

The sub-list {5.802, 5.82, 5.8} sorts to {5.8, 5.802, 5.82}. These values are then written after the 3.1691 mentioned. This will produce the fully sorted list from smallest to largest.

4 0
2 years ago
HELPPPPP
SSSSS [86.1K]
Hello there,

From Point A to Point B Peter traveled roughly 30 miles in 30 minutes.

From Point B to Point C Peter traveled roughly 130 miles in 2 hours and 30 minutes.

From Point C he didn't move in distance but the hours moved so c is out.

From Point C to Point D, Peter traveled roughly 180 miles in 3 hours.

Therefore D Peter had the fastest interval at D.
8 0
3 years ago
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