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Aloiza [94]
2 years ago
10

Determine the value of x in the diagram 112° xº 68° 112° What IS x ?

Mathematics
1 answer:
Zina [86]2 years ago
7 0

Step-by-step explanation:

112+68+112+x = 360⁰

292⁰+x = 360⁰

x = 360⁰- 292⁰

x= 68⁰

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What's the answer to -6<21
Sphinxa [80]

Answer:

Step-by-step explanation:

There's no answer here. Because -6<21.

5 0
3 years ago
You throw a ball up and its height h can be tracked using the equation h=2x^2-12x+20.
postnew [5]

<em><u>This problem seems to be wrong because no minimum point was found and no point of landing exists</u></em>

Answer:

1) There is no maximum height

2) The ball will never land

Step-by-step explanation:

<u>Derivatives</u>

Sometimes we need to find the maximum or minimum value of a function in a given interval. The derivative is a very handy tool for this task. We only have to compute the first derivative f' and have it equal to 0. That will give us the critical points.

Then, compute the second derivative f'' and evaluate the critical points in there. The criteria establish that

If f''(a) is positive, then x=a is a minimum

If f''(a) is negative, then x=a is a maximum

1)

The function provided in the question is

h(x)=2x^2-12x+20

Let's find the first derivative

h'(x)=4x-12

solving h'=0:

4x-12=0

x=3

Computing h''

h''(x)=4

It means that no matter the value of x, the second derivative is always positive, so x=3 is a minimum. The function doesn't have a local maximum or the ball will never reach a maximum height

2)

To find when will the ball land, we set h=0

2x^2-12x+20=0

Simplifying by 2

x^2-6x+10=0

Completing squares

x^2-6x+9+10-9=0

Factoring and rearranging

(x-3)^2=-1

There is no real value of x to solve the above equation, so the ball will never land.

This problem seems to be wrong because no minimum point was found and no point of landing exists

3 0
3 years ago
25 Points for answer
Luden [163]

Answer: 2

Step-by-step explanation:

First you have to plug in the value for x which is -18 so then you're equation then get y by itself and solve for y. This becomes

-3(-18) -y = 56

54 - y = 56

-54 -54

Y=2

You can check your work by plugging in 18 for x and 2 for y and when you solve the equation your answer should equal 56.

7 0
3 years ago
Read 2 more answers
Calculate the slope, or rate of change, of this line.<br><br> 1) 3<br> 2) 4<br> 3) 2<br> 4) 0.5
ASHA 777 [7]

Answer:

The slope for the line is 2

7 0
3 years ago
Jon ate too many holiday cookies and gained 2.2 kilograms in December. Then he went on a diet and lost 1.5 kilograms in January.
gogolik [260]

Answer:

Jon lost a total of 3 kilograms in these 3 months.

Step-by-step explanation:

Weight that Jon gained in December = 2.2 kilograms

Weight that Jon lost in January = 1.5 kilograms

Weight that Jon lost in February = 3.7 kilograms

Overall Change in his weight = Total Weight he gained - Total weight he Lost

Total weight he gained is 2.2 kilograms as he only gained weight in December. Total weight he lost will be sum of weights he lost in January and February.

So, total weight Jon lost = 1.5 + 3.7 = 5.2 kilograms

Thus,

Total change in Jon's Weight = 2.2 - 5.2 = -3.0 kilograms

This shows that Jon lost a total of 3 kilograms in these 3 months.

Conclusion:

The statement that best describe the total change in his weight is: Jon lost a total of 3 kilograms in these 3 months

5 0
2 years ago
Read 2 more answers
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