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3 years ago

8

Find the value of x.

1 answer:

timofeeve [1]3 years ago

7 0

Answer:

<h3>x = 83°</h3>

Step-by-step explanation:

${x}^{o} + {75}^{o} + {97}^{o} + {105}^{o} = {360}^{o} \\ {x}^{o} + {277}^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {277}^{o} \\ {x}^{o} = {83}^{o} \\$

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PLEASE SHOW ALL THE STEPS THAT YOU USE TO SOLVE THIS PROBLEM

Mademuasel [1]

Answer:

{x = 1 , y=1, z=0

Step-by-step explanation:

Solve the following system:

{-2 x + 2 y + 3 z = 0 | (equation 1)

{-2 x - y + z = -3 | (equation 2)

{2 x + 3 y + 3 z = 5 | (equation 3)

Subtract equation 1 from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x - 3 y - 2 z = -3 | (equation 2)

{2 x + 3 y + 3 z = 5 | (equation 3)

Multiply equation 2 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+3 y + 2 z = 3 | (equation 2)

{2 x + 3 y + 3 z = 5 | (equation 3)

Add equation 1 to equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+3 y + 2 z = 3 | (equation 2)

{0 x+5 y + 6 z = 5 | (equation 3)

Swap equation 2 with equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+3 y + 2 z = 3 | (equation 3)

Subtract 3/5 × (equation 2) from equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+0 y - (8 z)/5 = 0 | (equation 3)

Multiply equation 3 by 5/8:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+0 y - z = 0 | (equation 3)

Multiply equation 3 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Subtract 6 × (equation 3) from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y+0 z = 5 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Divide equation 2 by 5:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{-(2 x) + 0 y+3 z = -2 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{-(2 x)+0 y+0 z = -2 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Divide equation 1 by -2:

{x+0 y+0 z = 1 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Collect results:

Answer: {x = 1 , y=1, z=0

6 0

3 years ago

2. How many real number solutions are there to the equation 0 =-3x2 + x - 4?

goblinko [34]

For this case we have the following quadratic equation:

$-3x ^ 2 + x-4 = 0$

Where:

$a = -3\\b = 1\\c = -4$

By definition, the discriminant of a quadratic equation is given by:

$d = b ^ 2-4 (a) (c)$

We have to:

$d> 0:$ Two different real roots

$d$ Two different complex roots

$d = 0:$ Two equal real roots

Substituting the values we have:

$d = 1 ^ 2-4 (-3) (- 4)\\d = 1-48\\d = -47$

So, we have two different complex roots

Answer:

Two different complex roots

7 0

3 years ago

at the district competition for the 5th grade jump-rope of the year, The following number of jumps without stopping recorded per

Serggg [28]

Well first to find the mean you will have to add up all the numbers together.
5,299 is the total. After you have done that count how many numbers there are. There are 24 numbers. Divide 5,299 by 24 and you get about 220.8. So the mean is 220.8 To find the median number of jumps, write out all the numbers in order from least to greatest. I think you can do this part! The middle number is your answer. If there is no middle number, get the two numbers that are on each side of the middle and divide by 2. Hope I helped!

4 0

3 years ago

Read 2 more answers

Linear equation: -1

Anika [276]

Answer:

The right answer is:

the addition property of equality and then the division property of equality

Step-by-step explanation:

Given equation and steps to solve it are:

Step 1: –3x – 5 = 13

Step 2: –3x = 18

Step 3: x = –6

In step two, -5 has to be removed from left hand side of the equation so additional property of equality will be used i.e. adding 5 on both sides

Similarly in the third step, to remove -3 with x , division property of equality will be used i.e. dividing both sides by -3

Hence,

The right answer is:

the addition property of equality and then the division property of equality

6 0

3 years ago

Read 2 more answers

Evaluate the expression.

Katarina [22]

Answer:

11

Step-by-step explanation:

The lines on the outside simply means "absolute value". This just takes any negative number and makes it positive. In this case, 15-4 is already positive so the answer is just positive 11.

4 0

2 years ago