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sweet-ann [11.9K]
4 years ago
14

Which distance measures 7 units?

Mathematics
1 answer:
Naddika [18.5K]4 years ago
4 0

Answer:

first one

Step-by-step explanation:

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Solve x2 − 12x + 5 = 0 using the completing-the-square method. x = six plus or minus the square root of five x = negative six pl
Andru [333]

we are given

x^2-12x+5=0

we have to solve it by completing square method

step-1: Move 5 on right side

x^2-12x+5-5=0-5

x^2-12x=-5

step-2: Break middle term

x^2-2*6*x=-5

step-3: Add 6^2 both sides

x^2-2*6*x+(6)^2=-5+(6)^2

(x-6)^2=31

step-3: Solve for x

\sqrt{(x-6)^2} =\sqrt{31}

we wil get two values

First value is

x-6=\sqrt{31}

add both sides 6

x-6+6=6+\sqrt{31}

x=6+\sqrt{31}

Second value is

x-6=-\sqrt{31}

add both sides 6

x-6+6=6-\sqrt{31}

x=6-\sqrt{31}

so, solutions are

x=6+\sqrt{31}

x=6-\sqrt{31}.............Answer

5 0
3 years ago
Which set of side lengths is a Pythagorean triple??? Please help
kodGreya [7K]

Answer:

C) 9,40,41

Step-by-step explanation:

Pythagorean triple is when a²+b²=c²

A) 1,3,10

  • 1+9=100 - incorrect

B) 4,5,9

  • 16+25=81- incorrect

C) 9,40,41

  • 81+1600= 1681- correct

D) 16,30,44

  • 256+900= 1936- incorrect
4 0
3 years ago
A metal worker has several 1-kilogram bars of a metal alloy that contain 23% copper and several 1-kilogram bars that contain 79%
astraxan [27]

Answer:

30 each of 23% bars and 18 each of 79% bars

Step-by-step explanation:

If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:

x + y = 48

0.23x + 0.79y = 0.44(48)

Substituting and solving:

0.23x + 0.79(48-x) = 0.44(48)

0.23x + 37.92 - 0.79x = 21.12

16.8 = 0.56x

x = 30

y = 48 - x

y = 18

You need 30 each of 23% bars and 18 each of 79% bars.

4 0
4 years ago
What's equivalent to 16/3
Yakvenalex [24]
5 1/3 or 5.333 (repeating)
4 0
3 years ago
Read 2 more answers
The measure of one a cite angle of a right triangle is 6 less than twice the measure of the other acute angle find the measure o
jeka57 [31]

Answer:

32°, 58°

Step-by-step explanation:

Let one acute angle measure x.

The other acute angle measures 2x - 6.

The sum of the measures of the acute angles of a right triangle is 90.

x + 2x - 6 = 90

3x - 6 = 90

3x = 96

x = 32

2x - 6 = 2(32) - 6 = 58

Answer: 32°, 58°

8 0
2 years ago
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