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3 years ago

Which of the following uses logical deduction to prove the truth (or falsehood) of a specific statement?

1 answer:

7 0

Direct proof. A direct proof is a way of establishing the truth or falsehood of a given mathematical statement by a combination of established facts, usually axioms, lemmas and theorems. It assumes the hypothesis of a conjecture is true and then uses a series of logical deductions to prove that the conclusion as well.

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Emily bought 4 cheeseburgers for $6 each and then spent $18 on a new shirt. She paid for the cheeseburgers and shirt with her de

Soloha48 [4]

-42 would be the answer

8 0

2 years ago

Read 2 more answers

Sketch the algebra-tile shape at right on your paper. Write an expression for the

Dima020 [189]

Answer:

Part 1) $P=(4x+4)\ units$

Part 2)

a) $P=32\ units$

b) $P=26\ units$

c) $P=13\frac{1}{3}\ units$

Step-by-step explanation:

The complete question in the attached figure

Part 1) Write an expression for the perimeter of the shape

we know that

The figure is composed by a larger square, a rectangle and a smaller square

1) The area of the larger square is given

$A=x^2\ units^2$

The length and the width of the larger square is x units

2) The area of the rectangle is given

$A=x\ units^2$

The length of the rectangle is x units and the width is 1 unit

3) The length and the width of the smaller square is x units

see the attached figure N 2 to better understand the problem

Find out the perimeter

The perimeter is the sum of all the sides.

$P=(x+x+x+x+1+1+1+1)$

$P=(4x+4)\ units$

Part 2) Find the perimeter for each of the given values of x.

a) For x=7 units

Substitute the value of x in the expression of the perimeter

$P=(4(7)+4)=32\ units$

b) For x=5.5 units

Substitute the value of x in the expression of the perimeter

$P=(4(5.5)+4)=26\ units$

b) For x=7/3 units

Substitute the value of x in the expression of the perimeter

$P=(4(\frac{7}{3})+4)=\frac{40}{3}=13\frac{1}{3}\ units$

8 0

2 years ago

9x+9y=9. Solve for Y

Alja [10]

Answer:

y = 1 - x

Step-by-step explanation:

9x + 9y = 9 ( divide through by 9 )

x + y = 1 ( subtract x from both sides )

y = 1 - x

5 0

1 year ago

Read 2 more answers

Given the vector (4|3) and the transformation matrix (0|1|-1|0), which vector is the imagine after applying the transformation t

horrorfan [7]

Answer:

C.(3|-4)

Step-by-step explanation:

Given the vector:

$\left[\begin{array}{ccc}4\\3\end{array}\right]$

The transformation Matrix is:

$\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]$

The image of the vector after applying the transformation will be:

$\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4\\3\end{array}\right]\\\\=\left[\begin{array}{ccc}0*4+1*3\\-1*4+0*3\end{array}\right]\\\\=\left[\begin{array}{ccc}3\\-4\end{array}\right]$