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marta [7]
3 years ago
7

7r²+9=1 quadratic equation.

Mathematics
1 answer:
dezoksy [38]3 years ago
7 0
<span>7r²+9=1 

</span><span>the equation is contradictory, just to prove

7r</span>² + 9 = 1

7r² + 9 -1 = 0

7r² + 8 = 0

<span>We write the equation in the form of products of
</span>
7 * (r² + 8/7) = 0

<span>the product is equal to 0 when one of the factors is zero
</span>
7≠0      ∨      (r² + 8/7) = 0
                     r² ≠ - 8/7
<span>any number squared is not negative.

</span><span>We proved that none of the factors is not equal to zero , so the right side of the equation is not equal to the left . The equation is contradictory</span>
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Which list of ordered pairs is NOT a function? Mark only one oval. {(1, 1), (2, 3), (3, 4), (4,5)} ){(1, 1), (2, 2), (3, 3), (4,
Mrac [35]

Answer:

{(1, 1), (1, 3), (2, 3), (3,4)}​ is not a function.

Step-by-step explanation:

The lists are:

a) {(1, 1), (2, 3), (3, 4), (4,5)}

b) {(1, 1), (2, 2), (3, 3), (4,4)}

c) {(1, 1), (3, 1), (4,2), (5, 3) }

d) {(1, 1), (1, 3), (2, 3), (3,4)}​

Firs, let's define what is a function.

A function is a relationship that maps elements from a set (the domain, is the set of the inputs) into elements of another set (the range, the set of the outputs) such that each element of the domain can be mapped into only one element of the range.

Then the list where we have the same input mapped into two different outputs, will not be a function.

Where in a ordered pair (x, y)

x is the input, and y is the output.

In this case, the list that is not a function is:

d) {(1, 1), (1, 3), (2, 3), (3,4)}​

because we have the input x = 1, mapped into two different outputs.

5 0
2 years ago
ABCDE is a regular pentagon.
LiRa [457]

Part (A)

We have n = 5 sides, so the measure of any exterior angle of a regular pentagon is E = 360/n = 360/5 = 72

Each interior angle is therefore 180-E = 180-72 = 108 degrees.

---------------

Alternatively, you could use the formula below with n = 5

i = interior angle

i = 180(n-2)/n

i = 180(5-2)/5

i = 180(3)/5

i = 540/5

i = 108

---------------

<h3>Answer: 108 degrees</h3>

====================================================

Part (B)

We're told that CDF is 70 degrees. From part (A) we know that angle CDE is 108 degrees, so this must mean that angle EDF is 108-70 = 38 degrees.

Similarly, angle FEA is 85 degrees, which subtracts from angle AED to get 108 - 85 = 23 degrees. This is the measure of angle DEF.

So far we found

angle EDF = 38

angle DEF = 23

Let's call these x and y for shorthand. Let z be the missing third angle of triangle DFE.

So,

x+y+z = 180

38+23+z = 180

61+z = 180

x = 180-61

x = 119

Interior angle DFE is 119 degrees.

Note how 90 < x < 180 showing we have an obtuse angle. It is not a reflex angle because the statement 180 < x < 360 is false.

So we subtract the value of x from 360

360-x = 360-119 = 241

This is the reflex angle DFE

---------------

<h3>Answer: 241 degrees</h3>
8 0
3 years ago
5×10 to the ninth power
nikklg [1K]

Answer:

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Depends on what you mean

Step-by-step explanation:

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4 0
3 years ago
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The volume of a cylinder is 1323pi cmcubed. The radius of the base of the cylinder is 7 cm. What is the height of the​ cylinder?
Taya2010 [7]
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4 0
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Mnenie [13.5K]

Answer:

387 and 388

Step-by-step explanation:

775 / 2 = 387.5

387 and 388

3 0
3 years ago
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