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3 years ago

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

Mathematics

1 answer:

sammy [17]3 years 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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Write a linear function f with f(0)=7 and f(3)=1.

choli [55]

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a = ( 0 , 7 ) & b = ( 3 , 1 )

First need to find the slope using the following equation :

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

$slope = \frac{1 - 7}{3 - 0} \\$

$slope = \frac{ - 6}{3} \\$

$slope = - 2$

_________________________________

We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .

$y - y(0) = m \times ( \: x - x(0) \: )$

$x(0) = x - coordinate \: \: of \: \: through \: \: point \\$

$y(0) = y - coordinate \: \: of \: \: through \: \: point \\$

$m = slope$

I choose point (( a )) to put in the equation.

$y - 7 = - 2 \times (x - 0)$

$y - 7 = - 2x + 0$

$y - 7 = - 2x$

Add sides 7

$y - 7 + 7 = - 2x + 7$

$y = - 2x + 7$

This the slope-intercept form .

Done...

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7 0

3 years ago

If 5^2x = 1, what is the value of 'x' ?

SVETLANKA909090 [29]

Answer:

x = 0

Step-by-step explanation:

5^0 is 1, meaning that x must equal to 0 for the answer to be 5^0.

6 0

2 years ago

Read 2 more answers

A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface aft

den301095 [7]

Answer:

2.3 feet/ second

Step-by-step explanation:

To find the rate of change, we will have to find the difference in his distance travelled and divide it by the time taken to move that distance.

This is given by rate of change = (change in position)/ change in time

From the question, his position changed from 30 ft to 100 ft thus the distance he travelled is = 100ft - 30 ft = 70 ft.

Time taken to travel this distance = 40 seconds - 10 seconds = 30 seconds

Diver's rate of travel = 70 ft / 30 seconds = 2.33333ft/second.

Rounding off the answer to the nearest tenth, we have 2.3 ft/second

5 0

3 years ago

Factor by grouping m(2a+b)-n(2a+b)+2n(2a+b)

lys-0071 [83]

The factored expression of m(2a+b)-n(2a+b)+2n(2a+b) is (m + n)(2a + b)

<h3>How to factor the expression?</h3>

The expression is given as:

m(2a+b)-n(2a+b)+2n(2a+b)

Factor out 2a + b

m(2a+b)-n(2a+b)+2n(2a+b) = (m - n + 2n)(2a + b)

Evaluate the like terms

m(2a+b)-n(2a+b)+2n(2a+b) = (m + n)(2a + b)

Hence, the factored expression of m(2a+b)-n(2a+b)+2n(2a+b) is (m + n)(2a + b)

Read more about factored expressions at:

brainly.com/question/723406

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5 0

2 years ago

Plz plz help<br><br> Write a rule for the translation of AABC to AA'B'C'

Basile [38]

Don’t listen to people who give u links they are trying to scam you

6 0

3 years ago