Which is the best definition of a counterexample?

Mathematics

2 answers:

Rudiy273 years ago

8 0

(It contradicts)

!!!!!!!

Leni [432]3 years ago

3 0

Answer:

D. An example that shows a statement is not true.

Step-by-step explanation:

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The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region? 2x2 4x2 6x2 8x2

Savatey [412]

The picture in the attached figure

we know that
area of the <span>the shaded region=area of rectangle -area of a kite

area of rectangle=(3x+x)*(x+x)----> 4x*2x---> 8x</span>²

area of a kite=(1/2)*[d1*d2]
where d1 and d2 are the diagonals
d1=4x
d2=2x
so
area of a kite=(1/2)*[4x*2x]----> 4x²

area of the the shaded region=8x²-4x²-----> 4x²

the answer is
4x²

4 0

3 years ago

Read 2 more answers

Please help!<br>I know it's probably simple, but I don't understand...

kifflom [539]

For the reciprocal, you swap numerator and denominator.

a. The reciprocal of $\frac{\sqrt{2}}{2}$ is $\frac{2}{\sqrt{2}}$
To rationalize the irrational denominator, multiply numerator and denominator by the radical, then simplify.
$=\frac{2 \times \sqrt{2}}{\sqrt{2} \times \sqrt{2}} = \frac{2 \sqrt{2}}{2} = \sqrt{2}$

b. $\frac{-2}{\sqrt{3}} = \frac{-2 \sqrt{3}}{3}$

7 0

4 years ago

Question 6 of 10

jek_recluse [69]

Answer:

c=18

Step-by-step explanation:

5 0

3 years ago

What are two numbers that give a sum of 56 and a product of 72. Please answer as soon as possible!

Harrizon [31]

The numbers are "x" and "y".
We can suggest this equation:
x+y=56
xy=72
We can solve this equation by substitution method.
x+y=56 ⇒x=56-y

(56-y)y=72
56y-y²=72
y²-56y+72=0

Now, we solve this square equatión:

y=[56⁺₋√(56²-4*1*72)] / 2=(56⁺₋√2848)/2
We have two solutions:
y₁=(56-√2848)/2≈1.3167 ⇒x₁=56-y₁≈54.6833
y₂=(56+√2848)/2≈54,6833 ⇒x₂=56-y₂≈1.3167

Therefore the numbers are 1.3167 and 54.6833

5 0

4 years ago

What is the y-intercept of y<br> = 3 - 4x

statuscvo [17]

Answer:

Step-by-step explanation:

y = mx + b, or in this case y = b + mx

Either way, m = slope and b = y-intercept

8 0

3 years ago