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Viktor [21]
2 years ago
5

What is the slope of the line that passes through the points (13,-8) and (-11,4)

Mathematics
1 answer:
pogonyaev2 years ago
3 0

Answer:

- \frac{1}{2}

Step-by-step explanation:

Find slope using the slope formula : \frac{y2-y1}{x2-x1}

Plug in the given points : \frac{4- (-8)}{-11-13}

Add the numbers : \frac{12}{-11-13}

Calculate the difference : \frac{12}{-24}

Reduce the fraction : -\frac{1}{2}

Solution : -\frac{1}{2}

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The fourth term of a sequence is 108. Each term after the first is 3 times the previous term. Write an explicit expression that
marishachu [46]

Answer:

f(n)=4(3)^{n-1}

Step-by-step explanation:

Let the first term be x, then the terms of the sequence are:

x,3x,9x,27x,81x,....

Since the fourth term is 108, we have

27x=108

\implies x=4

Hence the sequence becomes:

4,12,36,108,324,....

The explicit expression for a geometric expression is given by:

f(n)=ar^{n-1}

where a=4 and r=3

The required formula is:

f(n)=4(3)^{n-1}

8 0
2 years ago
timeless toys builds tricycles and wagons. the owner noticed that there are several diffrent ways that a customer could place an
slava [35]
<span>There are 3 several ways to place an order for 5 items, like for example all or 5 tricycles, the number of wheels that will be needed is 15 wheels, for 5 order of wagons, the number of wheels that will be needed is 20 wheels, then lastly the 5 order combinations like 3 tricycles and 2 wagons the number of wheels that will be needed are 17 wheels.</span>
4 0
2 years ago
Read 2 more answers
5 feet 8 inches equals how many inches
sweet [91]
There are 12 inches in a foot. To find how many inches are in 5 feet, multiply by 12:

5*12 = 60 inches

Add the 8 additional inches:

60 + 8 = 68 inches

The answer is 68.
3 0
3 years ago
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The base of a triangle is 13cm and its height is 5cm. what is the area of the triangle
mario62 [17]

Answer:

32.5cm

Step-by-step explanation:

Using the formula A=h_b*b/2

We get 5*13/2=32.5

3 0
2 years ago
The measure of an angle is 49°. what is the measure of a complementary angle?
liberstina [14]
The other one is 90 minus 49 or 41 degrees
5 0
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