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3 years ago

We shade to show all possible answers. The shading is called a solution set. True or False?

Mathematics

1 answer:

Ilya [14]3 years ago

5 0

True the shading is called an solution set

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What is the distance between (-6, 8) and (-3,9)?

vivado [14]

Answer:

is $\sqrt{10}$

Step-by-step explanation:

var x = +3 (one side of right angled triangle)

var y = +1 (the other side of the right angled triangle)

Use the Pythagoras' Theorem.

3² + 1² = 10

6 0

3 years ago

Ramon wants to make an acute triangle with three pieces of wood. So far, he has cut wood lengths of 7 inches and 3 inches. He st

o-na [289]

Answer: Exactly square root 58 inches

Step-by-step explanation: The dimensions given for the right angled triangle are 7 inches and 3 inches respectively. The third side is yet unknown. However what we know is that a right angled triangle can be solved by using the Pythagoras theorem which states that,

AC^2 = AB^2 + BC^2

Where AC is the longest side. The question requires us to calculate the longest side and with the other two sides already known, the Pythagoras theorem now becomes,

AC^2 = 7^2 + 3^2

AC^2 = 49 + 9

AC^2 = 58

Add the square root sign to both sides of the equation

AC = square root 58 inches

5 0

3 years ago

Read 2 more answers

Question: Find m HK...

Serhud [2]

Answer:

104degrees

Step-by-step explanation:

From the given diagram, line LJ bisects KN, hence arcKL = arcHJ

Given

arHJ = 4x

arc KJ = x+39

Equating both

4x = x+39

4x - x = 39

3x = 39

x = 39/3

x = 13

Since arcHK = arcHJ + arcKJ

arcHK = x+39+4x

arcHK = 5x+39

arcHK = 5(13) + 39

arcHK = 65+39

arcHK = 104degrees

Hence the measure of arcHK is 104degrees

7 0

3 years ago

X+16=24hvvcgcfcycdfdxfxxdgfv

zaharov [31]

To do solve this you must isolate x. First subtract 16 to both sides (what you do on one side you must do to the other). Since 16 is being added to x, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

x + (16 - 16) = 24 - 16

x = 8

Check:

8 + 16 = 24

24 = 24

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0

3 years ago

Read 2 more answers

Write a recursive formula for each sequence given or described below.

valentinak56 [21]

Answer:

$a_{n} =a_{n-1} +3000$ and a₁ =30000 for n = 2,3,4,5,6, ......

Step-by-step explanation:

Doug has joined a job with a starting salary of $30000 per year.

Hence, if a₁ is the salary of Doug in the first year, then

a₁ =30000

Now, each year Doug will receive a raise of $3000 in his salary.

Hence, in the 2nd year, his salary(a₂) will become ( a₁ +3000) per year.

Again, in the 3rd year, his salary(a₃) will become ( a₂ +3000) per year.

Therefor, in the similar manner the recursive formula for his salary in each year will be given as $a_{n} =a_{n-1} +3000$ and a₁ =30000 for n = 2,3,4,5,6, ...... {aₙ is the yearly salary of Doug in the nth year} (Answer)

7 0

3 years ago