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GalinKa [24]
3 years ago
13

The sides of a triangle have lengths 2x + 2, 4x, and 5x + 1. The longest side of the triangle has a length of 5x + 1. For what v

alues of x is the triangle obtuse?
Mathematics
1 answer:
Savatey [412]3 years ago
4 0

Answer:

Step-by-step explanation:

(5x+1)²>(2x+2)²+(4x)²

25x²+10x+1>4x²+8x+4+16x²

5x²+2x-3>0

5x²+5x-3x-3>0

5x(x+1)-3(x+1)>0

(x+1)(5x-3)>0

x+1=0,gives x=-1

5x-3=0,gives x=3/5

x >0(because 4x should be >0)

side is always positive.

so x>3/5

again 5x+1<2x+2+4x

5x-6x<2-1

-x<1

x>-1

x=all real values >3/5

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denpristay [2]

Answer:

x=1.55

Step-by-step explanation:

42x-1=64

     +1   +1

42x= 65

/42    /42

x= 1.55 (rounded)

5 0
3 years ago
In a correlational study, ____.
maksim [4K]

Answer:

Option B,  two variables are measured and two groups are compared

Step-by-step explanation:

In a correlation study relationship between two variable is established.

The two variables represents two group.

For instance correlation study is conducted to determine the relationship between two variables X and Y

X and Y are variable

While X represents the group "number of cars passing through a lane"

Y represents the group "width of the road".

Hence, Option B is correct  

4 0
3 years ago
11. -2+b&lt;3
IRINA_888 [86]

Answer:

11. -2+b<3

b < -5

9. 1/5<x/15

x > 3

10. 9>-r

r > -9

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t < -2

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7 0
3 years ago
Simplify log (x2-y2)- log (x-y)=
Pavlova-9 [17]
Using the law of logarithm.  LogA - LogB =  Log(A/B)

log(x²-y²) - log(x-y) = log((x²-y²)/(x-y))

Note by difference of two squares, (x²-y²) = (x-y)(x+y)

Simplifying (x²-y²)/(x-y) = (x-y)(x+y)/(x-y) = (x+y)

Therefore log(x²-y²) - log(x-y) = log((x²-y²)/(x-y)) = log((x-y)(x+y)/(x-y)) = log(x+y)
8 0
3 years ago
Read 2 more answers
The manager of a mall conducted a survey among two groups (n1 = 100, n2 = 100) of visitors to the mall on different days. She fo
DedPeter [7]

Answer:

Option B - There is at least some difference in the average times spent by the two groups in the mall.

Step-by-step explanation:

A null hypothesis is a hypothesis that states that there is no statistical significance between the two variables. Thus, It is usually the hypothesis that a researcher or experimenter will try to disprove or discredit. While an alternative hypothesis is one that states there is a statistically significant relationship between two variables.

Now, applying these definitions to the question, we can see that;

Null Hypothesis is;

H0; There is no difference in the average times spent by the two groups in the mall

While the alternative hypothesis is;

Ha; There is at least some difference in the average times spent by the two groups in the mall

Thus, correct answer is option B

8 0
3 years ago
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