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Artyom0805 [142]
1 year ago
15

True or false a corollary is a statement that can be easily proved using a theorem

Mathematics
1 answer:
sammy [17]1 year ago
7 0

Answer:

The given statement is true.

Step-by-step explanation:

A corollary is a statement that can be easily proved using a theorem. This statement is true.

A corollary is usually defined as some idea formed from something that is already existing or already been proven.

This is the reason it is not difficult to prove as it has already been proven.

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Which product is negative? (Negative StartFraction 3 over 8 EndFraction) (Negative StartFraction 5 over 7 EndFraction) (one-four
nasty-shy [4]

Answer:

(D)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)

Step-by-step explanation:

The given options are:

(A)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(\dfrac14\right)\\(B)\left(\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)\\(C)\left(\dfrac38\right)\left(\dfrac57\right)\left(\dfrac14\right)\\(D)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)

The key to determining which product is negative is to understand the rule of sign multiplication.

Now:

  • The product of even negative terms is positive
  • The product of odd negative terms is negative.
  • The product of positive will always be positive.

In Options A and B, the number of negative signs is even, therefore our result is positive.

In option C, all the terms are positive, therefore our result will be positive.

In Option D, the number of negative signs is odd, therefore our result is negative.

4 0
2 years ago
Read 2 more answers
This chart shows what happens when each object is placed on a balance with a 10 kg weight on the other side.
dexar [7]

9514 1404 393

Answer:

  Object 1 is the heaviest object.

Step-by-step explanation:

The first column of the table tells you ...

  Object 1 is heavier than the 10 kg weight

The second column of the table tells you ...

  Object 2 weighs 10 kg

The third column of the table tells you ...

  Object 3 is lighter than the 10 kg weight

Then the relative weights are ...

  Object 1 > Object 2 > Object 3

That is, Object 1 is the heaviest object.

8 0
2 years ago
Read 2 more answers
Isabelle is mixing red paint with blue paint to make purple paint. She adds of a fluid ounce of red to of a fluid ounce of blue
Gnom [1K]
She will need 5 fluid ounces to make purple paint hope that will hope you if not I'm sorry 
6 0
2 years ago
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The correlation coefficient for the ages of drivers in a driver safety class and the number of traffic violations they have rece
Doss [256]
A correlation coefficient is always a value in between -1 and 1
The closest a coefficient to -1, the correlation is a strong negative correlation
The closest a coefficient to 1, the correlation is a strong positive correlation
The closest a coefficient to 0, there is no correlation at all

The coefficient -0.61 shows a strong negative correlation
This means that the relationship between the age and the violation is an inverse relationship; as age increases, violation decreases

Answer: option C
7 0
2 years ago
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x2+3x-8?
Basile [38]

Answer:

Step-by-step explanation:

The given quadratic equation is

2x^2+3x-8 = 0

To find the roots of the equation. We will apply the general formula for quadratic equations

x = -b ± √b^2 - 4ac]/2a

from the equation,

a = 2

b = 3

c = -8

It becomes

x = [- 3 ± √3^2 - 4(2 × -8)]/2×2

x = - 3 ± √9 - 4(- 16)]/2×2

x = [- 3 ± √9 + 64]/2×2

x = [- 3 ± √73]/4

x = [- 3 ± 8.544]/4

x = (-3 + 8.544) /4 or x = (-3 - 8.544) / 4

x = 5.544/4 or - 11.544/4

x = 1.386 or x = - 2.886

The positive solution is 1.39 rounded up to the nearest hundredth

8 0
2 years ago
Read 2 more answers
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