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kompoz [17]
3 years ago
11

How to solve 13. i)

Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer:

see below

Step-by-step explanation:

2x^2 +2x > -4

Add 4 to each side

2x^2 +2x+4 > -4+4

2x^2 +2x+4 > 0

Factor

2(x^2 +x+2) >0

Divide by 2

2/2(x^2 +x+2) >0/2

(x^2 +x+2) >0

Complete the square

Take the x coefficient divide by 2 and square it

(1/2) then square it  = 1/4

(x^2 + x +1/4) +7/4 >0

(x+1/2)^2 +7/4 >0

Subtract 7/4 from each side

(x+1/2)^2 +7/4 -7/4>0-7/4

(x+1/2)^2 >-7/4

This is always true since a quantity squared is greater than a negative quantity

x can be any number

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Perimeter = 93 x 2 + 63 x 2 = 186 + 126 = 312 feet 
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4 years ago
A quadrilateral has vertices A, B, C, and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units
Kryger [21]

Answer:

The correct option is O B'

Step-by-step explanation:

We have a quadrilateral with vertices A, B, C and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line and D is 9 units away from the line.

Now we perform the reflection and we obtain a new quadrilateral A'B'C'D'.

In order to apply the reflection to the original quadrilateral ABCD, we perform the reflection to all of its points, particularly to its vertices.

Wherever we have a point X and a line of reflection L and we perform the reflection, the new point X' will keep its original distance from the line of reflection (this is an important concept in order to understand the exercise).

I will attach a drawing with an example.

Finally, we only have to look at the vertices and its original distances to answer the question.

The vertice that is closest to the line of reflection is B (the distance is 4 units). We answer O B'

8 0
3 years ago
) Solve this equation: − 10 + = 8 + 2 − 18
nikitadnepr [17]

Answer:

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4 0
3 years ago
For which data set is a linear regression most reasonable?
Oxana [17]

Answer:

The correct option is;

A. A set of nine data pairs with a correlation coefficient r = -0.4

Step-by-step explanation:

In statistical analysis, it is important to make use of an adequate sample size in order to arrive at a valid result. An analysis with a very small sample size can provide misleading results

When performing regression analysis it is generally accepted by researchers that each variable should have at least 10 observations.

Therefore, the data set having nine data pairs with a negative correlation of -0.4 will provide the most valid result that can then be used for generalization about the larger statistical population.

6 0
3 years ago
Read 2 more answers
What is the measure of PSQ in degrees? Angle PSR measures 99°.
11111nata11111 [884]

we know that

Step 1

Find the value of x

m∠PSR=99°

m∠PSR=(3x+18)+(9x-27)°

so

99 =(3x+18)+(9x-27) \\ 99=12x-9\\ 12x=108\\ x=9degrees

Step 2

Find the value of m∠PSQ

m∠PSQ=(3x+18)

m∠PSQ=(3*9+18)

m∠PSQ=45°

therefore

the answer is the option

C) 45 degrees

8 0
3 years ago
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