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OLEGan [10]
3 years ago
7

Solve |x|>3 A.{-3,3} B.{x|x<-3 u x>3} C.{x|x<-3Ωx>3}

Mathematics
1 answer:
Talja [164]3 years ago
6 0

|x| > 3\iff x > 3\ \vee\ x < -3\\\\Answer:B.\ \{x|\ x < -3\ \vee\ x > 3\}

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Name a point that is between 50 and 60 units away from (7,-2) and state the distance between the two points.
laila [671]

Let the required point be (a,b)

The distance of (a,b) from (7,-2) is

= \sqrt{(a-7)^2+(b+2)^2}

But this distance needs to be betweem 50 & 60

So

50

Squaring all sides

2500 < (a-7)² + (b+2)² < 3600

Let a = 7

So we have

2500 < (b+2)² <3600

b+2 < 60    or  b+2 > -60   => b <58 or b > -62

Also

b+2 >50    or b + 2 < -50  => b >48 or B < -52

Let us take one value of b < 58 say b = 50

So now we have the point as (7, 50)

The other point is (7,-2)

Distance between them

= \sqrt{(7-7)^2+(50+2)^2}= \sqrt{(52)^2}=52

This is between 50 & 60

Hence one point which has a distance between 50 & 60 from the point (7,-2) is (7, 50)


6 0
3 years ago
Read 2 more answers
Mark is covering an 8-inch-square board with 1-inch-square tiles. He uses gray tiles to make four 2-in. by 2-in. squares. He cov
KonstantinChe [14]
48 because if you take the total area and subtract the area of the small squares you get 48 square inches left white
6 0
3 years ago
Meaghan and Lily are dividing 43.61 by 7. Meaghan says that the first digit of the quotient is in the ones place. Lily says it i
Ivahew [28]

Answer: Meaghan is right.

Step-by-step explanation:

For a number like:

123.45

the tens place would be the "2" (second number at the left of the decimal point)

The ones place would be the "3" (first number at the left of the decimal point)

Let's suppose that Lily is correct.

Then the quotient of:

43.61/7

Will be a number with two digits in the left of the decimal point.

The smallest number that meets this condition, is the number 10.

Then let's see:

7*10 = 70

then:

70/7 = 10

and:

43.61 < 70

(70 is larger than 43.61)

then:

43.61/7 < 70/7 = 10

Then:

(43.61/7) < 10

This means that our quotient is smaller than 10, then the first digit of the quotient can not be on the tens place.

Then Meaghan is the correct one.

We also could perform the quotient to find:

43.61/7 = 6.23

So yes, Meaghan is correct.

5 0
3 years ago
Which of the following is the same as 3/5÷4/7 <br> 3/5÷7/4<br> 4/7÷3/5<br> 3/5×4/7<br> 3/5×7/4
Gala2k [10]

Answer:

all have numbers 3 5 4 7

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3 years ago
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Ulleksa [173]

Answer:

a. y= 4 + 0.50x  b. y= 1.00x

Step-by-step explanation:

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