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Strike441 [17]
3 years ago
10

The Perimeter of the quadrilateral is 30 centimeters. Find the length of each side. The sides are: x+5, x+3, 2x-2, x^2-2x

Mathematics
1 answer:
Nitella [24]3 years ago
7 0

Answer:

9 cm, 7 cm, 6 cm and 8 cm

Step-by-step explanation:

The perimeter is the sum of all the sides.

4 sides' expressions are given, so we add them and equate to 30.

x+5+x+3+2x-2+x^2-2x=30\\x^2+2x+6=30\\x^2+2x+6-30=0\\x^2+2x-24=0\\(x+6)(x-4)=0\\x=-6,4

Note: we disregard the value of x = -6, because it is going to give us side with negative length, that can't happen!

So, we take x = 4

Hence, length of each side is:

x + 5 = 4 + 5 = 9 cm

x + 3 = 4 + 3 = 7 cm

2x -2 = 2(4) - 2 = 8 - 2 = 6 cm

x^2 - 2x = (4)^2 - 2(4) = 16 - 8 = 8 cm

These are the lengths of 4 sides: 9 cm, 7 cm, 6 cm and 8 cm.

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PLEASE PLEASE PLEASE TELL ME HELP HELP
grin007 [14]

Answer:

78%

Step-by-step explanation:

Ok to solve this we can write this as

80 = \frac{73+82+85+83+x}{5}

We put the equation like this because were finding out how much he needs to get on his 5th test x in order to get a 80%

Your grade is the average of all of your scores hence the divided by 5

We next multiply both sides of the equation by 5 to get

400 = 72+82+85+83+x

400=  322+ x

78 = x

He must get a 78% minimum on his next test to get 80%

Hope that helps!

3 0
3 years ago
If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.
brilliants [131]

Degree: 5; leading coefficient: 10

Option D is correct.

Step-by-step explanation:

We need to identify if f(x) = 10x^5 + 7x^4+5 is a polynomial function, then state its degree and leading coefficient or not.

  • Polynomial

A polynomial is an algebraic expression containing two or more terms that have same variables but may have different exponents combined through mathematical symbol(+,-,*or/)

So, f(x) = 10x^5 + 7x^4+5 is a polynomial function

  • Degree of polynomial

The degree of polynomial is the highest degree obtained by sum of all exponents of individual terms in the polynomial.

So, f(x) = 10x^5 + 7x^4+5 has highest degree 5

Degree = 5

  • Leading Coefficient

The leading coefficient is the coefficient of first term of the polynomial.

So, f(x) = 10x^5 + 7x^4+5 has  leading coefficient = 10

So, Leading coefficient = 10

So, Degree: 5; leading coefficient: 10

Option D is correct.

Keywords: Polynomials

Learn more about Polynomials at:

  • brainly.com/question/10771256
  • brainly.com/question/1414350
  • brainly.com/question/2568692

#learnwithBrainly

3 0
3 years ago
8. It took Sharon 85 minutes to wash three cars. She spent x minutes on each car and 10 minutes
Yuliya22 [10]

Answer:

c. 25 minutes

Step-by-step explanation:

3x + 10 = 85

3x = 85 - 10

3x = 75

x = 25

8 0
3 years ago
What is the value of y?
suter [353]

Answer:

if two angles are y, then the y is equal to each other.

180 - 114 = 66

66 is the angle that is not y.

180 - 66 = 2y

2y = 114

/2      /2

<em><u>y = 57</u></em>

<em><u></u></em>

<em><u>The answer is 57 degrees.</u></em>

<em><u>Hope this helps</u></em>

7 0
3 years ago
Read 2 more answers
In a recently administered iq test, the scores were distributed normally, with mean 100 and standard deviation 15. what proporti
iragen [17]

To solve for proportion we make use of the z statistic. The procedure is to solve for the value of the z score and then locate for the proportion using the standard distribution tables. The formula for z score is:

z = (X – μ) / σ

where X is the sample value, μ is the mean value and σ is the standard deviation

 

when X = 70

z1 = (70 – 100) / 15 = -2

Using the standard distribution tables, proportion is P1 = 0.0228

 

when X = 130

z2 = (130 – 100) /15 = 2

Using the standard distribution tables, proportion is P2 = 0.9772

 

Therefore the proportion between X of 70 and 130 is:

P (70<X<130) = P2 – P1

P (70<X<130) = 0.9772 - 0.0228

P (70<X<130) = 0.9544

 

Therefore 0.9544 or 95.44% of the test takers scored between 70 and 130.

6 0
4 years ago
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