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antiseptic1488 [7]
3 years ago
15

Peter says, "If you subtract 17 from my number and multiply the difference by - 2, the result is - 26."

Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Answer:

4 is the number

Step-by-step explanation:

(17-x)(-2)=-26

-34+2x=-26

2x=-26+34

2x=8

x=8/2

=4

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Use a truth table to determine whether the following is a tautology, a contradiction, or neither. ~PAP Q~QvQ
NNADVOKAT [17]

Answer:

The statement \lnot P \land P \rightarrow Q \rightarrow\lnot Q\lor Q is a tautology.

Step-by-step explanation:

We have the following statement \lnot P \land P \rightarrow Q \rightarrow\lnot Q\lor Q

A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.

The simple statements from the statement given are:

\lnot P, \lnot Q, \lnot P \land P, \lnot P \land P \rightarrow Q, and \lnot Q \lor Q with these you can construct the following truth table.

A tautology is a formula that is always true, it is true for every assignment of truth values to its simple components.

The last column contains only true values. Therefore, the statement is a tautology.

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4 years ago
A circle has a circumference of 615.44 what is the radius of the circle
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Answer:

r≈97.95

Step-by-step explanation:

r=C

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nikdorinn [45]

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have the equations in the standard form. Convert to the slope-intercept form:

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-x+3y=0             <em>add x to both sides</em>

3y=x             <em>divide both sides by 3</em>

y=\dfrac{1}{3}x

-----------------------------------------------------

We need only two points to plot a graph of each function.

y=-3x-10

for x = 0 and for x = -3:

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y=\dfrac{1}{3}x

for x = 0 and for x = -3:

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Look at the picture.

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