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Nat2105 [25]
3 years ago
6

Express y=3x+2 in general form

Mathematics
1 answer:
katrin [286]3 years ago
4 0

General form of a linear equation is ax+by+c=0 where a,b, and c are three real numbers.

So, we can shift all the terms in one side of the equation. Hence, first step is to remove y from the left side. So, subtract y from each sides.

y-y=3x+2-y

0= 3x - y +2 (By simplifying)

So, the general form of the given equation is 3x-y+2=0.

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A student completed 1/4 of a workbook in 3/5 hour.He plans to work for 1 more hour at the same rate.What Fraction of the workboo
oee [108]
Workbook =x
1/4   3/5
 x    5/5 (1 hour)
then x=(5/5 * 1/4):3/5
x= 5/20 * 5/3 
x=1/4 *5/3
x= 5/12
4 0
3 years ago
The symbol ⊕ is used to denote exclusive or, so p ⊕ q ≡ (p v q) ^ ~ (p ^ q).
Elan Coil [88]

I'll use text forms of the logical symbols because copying/pasting on mobile is annoying.

⊕ = XOR

∨ = OR

∧ = AND

~ = NOT

↔ = IFF (meaning "if and only if")

→ = IMP (short for "implies")

and for logical equivalence I'll use a regular equal sign.

Then

p XOR q = (p OR q) AND NOT (p AND q)

(a) By definition of XOR, we have

p XOR p = (p OR p) AND NOT (p AND p)

= p AND NOT p

and this is tautologically FALSE.

(b) To rewrite XOR, first distribute the NOT over the AND using DeMorgan's law:

NOT (p AND q) = NOT p OR NOT q

Then we can interchange the AND and ORs using their respective distributive properties. That is,

p XOR q = (p OR q) AND (NOT p OR NOT q)

= (p AND (NOT p OR NOT q)) OR (q AND (NOT p OR NOT q))

= ((p AND NOT p) OR (p AND NOT q)) OR ((q AND NOT p) OR (q AND NOT q))

Both (p AND NOT p) and (q AND NOT q) are tautologically FALSE, so the truth value of either OR depends only on the other statements, so we have

p XOR q = (p AND NOT q) OR (q AND NOT p)

Recall the definition of IFF:

p IFF q = (p IMP q) AND (q IMP p)

Also recall that IMP is logically equivalent to

p IMP q = p OR NOT q

Then we have

p IFF q = (p OR NOT q) AND (q OR NOT p)

so that its negation is

NOT (p IFF q) = NOT ((p OR NOT q) AND (q OR NOT p))

= NOT (p OR NOT q) OR NOT (q OR NOT p)

= (NOT p AND q) OR (NOT q AND p)

The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).

3 0
3 years ago
When a fraction of 17 is taken away from 17 what remains exceeds 1/3 of 17 by 6
MrRissso [65]
1/3×17/1=51/1

51+6=57
4 0
3 years ago
Solve:<br>√36+ √16 ÷ √4 × √100 using BODMAS rule.<br>Only GraceRosalia will answer​
Murrr4er [49]

✱ ✱ ✱ ✱ ✱ ✱ ✱ ✱ ✱ ✱ ✱ ✱ ✱  Hi  There!  ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦

✯                                                                                             ✯

✯                QUESTION: \sqrt{36} +\sqrt{16} :\sqrt{4} *\sqrt{100}                 ✯

✯                                                                                               ✯

✯ ✯ ✯  ✯ ✯ ✯ ✯ ✯ ✯ ✯ ✯  ✯ ✯ ✯ ✯ ✯ ✯ ✯ ✯ ✯ ✯ ✯ ✯ ✯

ANSWER:         ☆            ★               ☆                    ✳︎           ✶            ∙        ✮

      \sqrt{36}=6\\\sqrt{16} =4\\\sqrt{4} =2\\\sqrt{100} =10    

           ☆            ☆

6+4:2*10

6+2*10          

<h2>26</h2>

Hope\\It\\Helps! \\ANSWERED:\\GraceRosalia             ✮              ∙            ✳︎                 ★            

✴︎      ✴︎ ✴︎✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎  ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎ ✴︎

5 0
3 years ago
Read 2 more answers
Brian tied a 136-foot rope around the perimeter of his rectangular house. He knows that the length of the house is 10 feet less
STALIN [3.7K]

Answer:

length 42 cm and width 26 cm

Step-by-step explanation:

Given

Since Brian tied 136 foot rope around the perimeter , hence perimeter of house is 136 foot.

Given that shape of house is rectangular.

formula to calculate perimeter of rectangle can be used which is 2*(L+B)

where L is length of rectangle and B width of rectangle

Let the L and B be length of rectangular side of house

According to question

length of house is 10 feet less than twice the width of house

mathematically it can be represented as

L = 2*B - 10  --->eq. 1

Perimeter of house = 136 feet

using formula of Perimeter of rectangle

136 = 2*(L+B)

substituting the value of length in terms of width from eq. 1 in formula of perimeter

=> 136/2 = 2*B - 10 + B  (2*B+ B = 3B)

=> 68 = 3*B - 10

=> 78 = 3*B

B = 78/3 = 26

Therefore B which is width = 26 CM

length = 2*B - 10= 26*2 - 10 = 52-10=42

length of house = 42  cm

Hence dimension of Brian's house is length 42 cm and width 26 cm

5 0
3 years ago
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