All categories

3 years ago

True or false? To begin an indirect proof, you assume the converse of what you intend to prove is true.

Mathematics

1 answer:

djyliett [7]3 years ago

4 0

Answer:

The statement is false.

Step-by-step explanation:

To begin an indirect proof, you assume the converse of what you intend to prove is true. This is false.

Rather the correct answer is that to begin an indirect proof, you assume the inverse of what you intend to prove is true.

The converse can be either true or false, depending on what the original statement is, so assuming the converse is pointless.

You might be interested in

Let h(x) = -4x + 2. h(-4) =

taurus [48]

Answer:

h(-4) =18

Step-by-step explanation:

h(x) = -4x + 2

Let x = -4

h(-4) = -4*-4 + 2

=16+2

=18

4 0

3 years ago

I am a bit confused on a derivative is in Calculus. From what I understand, I derivative is the limit of a tangent line on a cur

lakkis [162]

Answer:

Step-by-step explanation:

To answer your question fully can literally take up an entire book.

The importance becomes obvious if you consider the derivative (and the inverse of it the integral) as the foundation of calculus. I guess that askes the question what is calculus? For this answer a very very simplistic answer would be that it is the branch of mathematics that studies "non-constant" change (things that curve)

...... Let's see if this makes sense? You are driving your car at a constant 50 mph . after one hour you are 50 miles from home and after two you are 100.

y=50x. you can calculate this value in a several of ways just take two time stamps and two distance stamps ... subtract the two times and two

ok now here is the REAL PROBLEM issue we want to know our CHANGE IN

VELOCITY (that is ACCELERATION) ... if you take ANY two points you will

see that the SPEED is ALWAYS the same so the numerator is always 0 (zero) and thus the denominator (the difference in the time stamps) does not matter

now lets say that we are accelerating ..we are going y = 10 $x^{2}$ mph

at 3 seconds we are going 90 mph (10* 3^2) .. but we really don't care about that we want the "acceleration" at EXACTLY that point...

to do that we "have to estimate" delta Y over delta X

lets take 3 and 0 .... (9-0)/3 estimate of acceleration is 3...

but WAIT we can do better (get closer) take 3 and 1 ... (9 - 1)/2

acceleration is 4... once again lets get closer to the exact 3 ...

3 and 2 ... (9 -4)/2 the acceleration is 5...

hold on ! lets get even closer use 3 and 3 and we get it exactly !

(9-9)/0 that is the answer hurray! HOLD ON ! you CAN NOT DIVIDE BY ZERO ... no can do... we have to wait for newton and Leibniz to

figure out lim as x-> 0 f(x)-f(x+ delta x) / x to get around the DIVIDE BY ZERO problem...

that is the derivative

5 0

3 years ago

Which statement must be true if APQR = ASTU?

VMariaS [17]

Answer:

(a) $PQ \sim ST$

Step-by-step explanation:

Given

See attachment

Required

Which must be true

$\triangle PQR \simeq \triangle STU$ implies that:

The following sides are corresponding

$PQ \sim ST$

$PR \sim SU$

$QR \sim TU$

The following angles are corresponding

$\angle P \sim \angle S$

$\angle Q \sim \angle T$

$\angle R \sim \angle U$

From the given options, only option (a) is true because:

$PQ \sim ST$

5 0

3 years ago

Daisy is remodeling her home. The rectangular floor in the living room is 18 feet long and 9

nydimaria [60]

Answer:

$532 for both rooms.

208 for dining room. 324 for living room.

Step-by-step explanation:

Find out how much square foot is in both rooms by multiplying length and width. then multiply each rooms square foot .by 2. then add up the two.

5 0

3 years ago

Sierra is selling bracelets to raise money for the Language Club at school. Each bracelet with yellow beads sells for $5. Each b

matrenka [14]

Answer:

Correct answer is:

$5y+6r=660\\y=2r+8$

Step-by-step explanation:

Given that Number of bracelets with yellow beads is represented by $y$

Each bracelet with yellow beads is sold for $5.

Total money raised by bracelets with yellow beads = Number of bracelets sold $\times$ Money raised by sale of one such bracelet = $5y$

Also Given that Number of bracelets with Orange beads is represented by $r$

Each bracelet with orange beads is sold for $6.

Total money raised by bracelets with orange beads = Number of bracelets sold $\times$ Money raised by sale of one such bracelet = $6r$

Given that total money raised by sale of both type of bracelets is $660.

so, the first equation becomes:

$5y+6r=660 ....... (1)$

It is also given that "<em>The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads</em>"

$\Rightarrow r =2r+8 ...... (2)$

So, by equation (1) and (2), the system of equations is:

$5y+6r=660\\y=2r+8$

5 0

3 years ago