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zloy xaker [14]
3 years ago
11

If the lengths of two sides of a right triangle are 5 and 12 units, what is the least possible length, in units, of the third si

de? Express your answer in simplest radical form.
Mathematics
2 answers:
miskamm [114]3 years ago
6 0

Answer:

13

Step-by-step explanation:

timofeeve [1]3 years ago
3 0

(leg)^2 + (leg)^2 = (hypotenuse)^2

(5)^2 + (12)^2 = (h)^2

25 + 144 = (h)^2

169 = (h)^2

sqrt{169} = sqrt{(h)^2}

-13 = h

13 = h

We reject h = -13 because length is a distance and distance cannot be negative.

So, h = 13 units is the answer.

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Graph the line passing through the given point and having the indicated slope. through (3​, ​negative 2​) with slope minus−three
Alex17521 [72]

Answer:

See the attachment

Step-by-step explanation:

A slope of -3/5 means the line drops 3 units for each 5 units it goes to the right. Then you can find another point on the line by going 5 uints to the left (to x=-2) and 3 units up (to y=1).

Plot the given point and the one just computed and draw the line through them.

8 0
3 years ago
For the following graph, determine if the graph represents a polynomial function. If it is a polynomial function, then determine
tankabanditka [31]

Using function concepts, it is found that the correct option is given by:

a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.

<h3>What is the least degree possible of a polynomial?</h3>

Supposing a polynomial with n turning points, the least possible degree is of n + 1.

In this problem, the polynomial has 2 turning points, hence the least possible degree is of 3 and option a is correct.

More can be learned about functions at brainly.com/question/25537936

#SPJ1

7 0
2 years ago
The coordinate axes divide the xy-plane into four sections called
Crazy boy [7]
Quadrants :)))))))))))
4 0
3 years ago
Solve the proportion: 12/R = 5/60
salantis [7]
I was to tired to write it down

6 0
3 years ago
Read 2 more answers
Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}

Solving it:

The sum is 493.4

4 0
3 years ago
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