Which property is illustrated by this example?

Express the negations of each of these statements so that all negation symbols immediately precede predicates. a. ∃z∀y∀xT (x, y,

Bess [88]

Answer:

As shown in the attachment

Step-by-step explanation:

The application of De Morgan's Law was applied as shown in the attachment.

3 0

4 years ago

Solve for kkk. \dfrac{k}4+ 3= 14 4 k +3=14

masha68 [24]

Answer: k=1

Step-by-step explanation:

Simplify 1/k

3 2 1

(((—+2)-(—•k))-4)-(—-2) = 0

k k k

2.1 Subtracting a whole from a fraction

2 2 • k

2 = — = —————

1 k

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

1 - (2 • k) 1 - 2k

——————————— = ——————

k k

Simplify 2/k

3 2 (1-2k)

(((—+2)-(—•k))-4)-—————— = 0

k k k

Simplify 3/k

3 2 (1-2k)

(((—+2)-(—•k))-4)-—————— = 0

k k k

5.1 Adding a whole to a fraction

3 (1 - 2k)

(((— + 2) - 2) - 4) - ———————— = 0

k k

6.1 Subtracting a whole from a fraction

2 2 • k

2 = — = —————

1 k

7.1 Subtracting a whole from a fraction

3 + 2 • k 2k + 3

————————— = ——————

k k

8.1 Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2 2 • k

2 = — = —————

1 k

9.1 Pull out like factors :

2 - 2k = -2 • (k - 1)

10.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

-2•(k-1)

———————— • k = 0 • k

k

Now, on the left hand side, the k cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

-2 • (k-1) = 0

Equations which are never true:

10.2 Solve : -2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

10.3 Solve : k-1 = 0

Add 1 to both sides of the equation :

k = 1

5 0

3 years ago

Draw a triangle that satisfies this condition: The ratio of the interior angles is 7:11:12

denpristay [2]

The sum of the interior angles of a triangle is 180 degrees.
1.) Translating the problem into equation:
7:11:12 = 180 degrees
7x+11x+12x = 180 degrees; Where x = missing number
30x = 180
30x/30 = 180/30 divide both sides by 30
x = 6
2.) Substitute the values:
7x+11x+12x = 180
7(6)+11(6)+12(6) = 180
42+66+72 = 180
180 = 180
3.) Therefore, the angles should be 42 degrees, 66 degrees and 72 degrees.
4.) See attached drawing of triangle