What is the area of this triangle?

Use a truth table to verify the ﬁrst De Morgan law (p ∧ q)’ ≡ p’ ∨ q’.

Nutka1998 [239]

Answer:

(p ∧ q)’ ≡ p’ ∨ q’

Step-by-step explanation:

First, p and q have just four (4) possibilities, p∧q is true (t) when p and q are both t.

p ∧ q

t t t

t f f

f f t

f f f

next step is getting the opposite

(p∧q)'

f

t

Then we get p' V q', V is true (t) when the first or the second is true.

p' V q'

f f f

f t t

t t f

t t t

Let's compare them, ≡ is true if the first is equal to the second one.

(p∧q)' ≡ (p' V q')

f f

t t

Both are true, so

(p ∧ q)’ ≡ p’ ∨ q’

6 0

3 years ago

Can someone pls help me / alguien me puede ayudar

user100 [1]

Answer:

The simplified expression is:

$\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)=0.2y+0.2x-8$

Step-by-step explanation:

Given the expression

$\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=\frac{2}{5}y+\frac{1}{5}x-0.2y-6-2$

$\mathrm{Group\:like\:terms}$

$=\frac{2}{5}y-0.2y+\frac{1}{5}x-6-2$

Add similar elements

$=0.2y+\frac{1}{5}x-6-2$

$=0.2y+\frac{x}{5}-6-2$

$=0.2y+\frac{x}{5}-8$

$=0.2y+0.2x-8$

Thus, the simplified expression is:

$\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)=0.2y+0.2x-8$

6 0

3 years ago

Parallelogram FGHJ was dilated and translated to form

Mrrafil [7]

Answer: The required scale factor of the dilation is 4.

Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

We are to find the scale factor of the dilation.

From the graph, we note that

JH = 2 units and J'H' = 8 units.

We know that

$\textup{Scale factor of dilation}=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the correponding side of the original figure}}.$

Therefore, the scale factor of the given dilation is

$S=\dfrac{J'H'}{JH}\\\\\\\Rightarrow S=\dfrac{8}{2}\\\\\Rightarrow S=4.$

Thus, the required scale factor of the dilation is 4.

3 0

3 years ago

Read 2 more answers

john ran 6 1/2 miles. Ben ran half the distance that John ran. Sara ran a total of 4.75 miles. What was the total distance combi

abruzzese [7]

John ran 6 1/2. Ben ran half of that, so he had run 3 1/4 and Sarah ran 4.75 miles. Add those up and you get 14.5

Can I have brainllest

5 0

2 years ago

Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?

Brilliant_brown [7]

Answer:

Step 3

Step-by-step explanation:

Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?

Given :

4(x - 1/5) = 2 2/3

Open the bracket

4x - 4/5 = 2 2/3

Add 4/5 to both sides

4x - 4/5 + 4/5 = 8/3 + 4/5

Lcm of 3 and 5 = 15

4x = (40 + 12) / 15

4x = 40/15 + 12/15

4x = 52/15

Multiply by 1/4

4x * 1/4 = 52/15 * 1/4

x = 52 / 60

x = 13 / 15

Hence, the error is in step 3

15/5 * 3 = 12

Rather ; Leonardo wrote 16

5 0

3 years ago