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kiruha [24]
3 years ago
15

U is the midpoint of TV. TU = x2 + 2x – 2. UV = -x + 8. Find the positive value of x.

Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0

Answer:

x = 2

Step-by-step explanation:

It is given that,

U is the midpoint of TV.

TU = x² + 2x – 2

UV = -x+8

We need to find a positive value of x.

For midpoint,

TU  = UV

Putting values,

x² + 2x – 2 = -x+8

or

x² + 2x – 2+ x - 8= 0

x² +3x-10 = 0

x² +5x - 2x -10 = 0

x(x+5) -2(x+5) = 0

(x-2) (x+5) = 0

x = +2 and x = -5

Hence, the positive value of x is 2.

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Answer:

6.5 square units

Step-by-step explanation:

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Squares - 3

Half squares - 4 (totals 2 squares)

Triangle - 1 - 1/2bh = 1/2x1x3 = 1.5

TOTAL = 3+2+1.5=6.5

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A researcher is investigating whether a new fertilizer affects the yield of tomato plants. As part of an experiment, 20 plants w
IgorLugansk [536]

Answer:

Correct option is (c).

Step-by-step explanation:

The experiment is conducted to determine whether a new fertilizer affects the yield of tomato plants.

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Then the mean number of tomatoes produced per plant will be recorded for each fertilizer, and the difference in the sample means will be calculated.

The collected sample data will then be used to make conclusion about the population.

The researchers main aim is to determine whether the new fertilizer is effective or not, i.e. if on using the new fertilizer the yield of tomatoes increases or not.

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PLEASE HELP
Alecsey [184]

Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Find two points of each line

Line A    (-2, 0)   (-1, 2)

Line B    (-1. - 5)   (-6, 0)

2.- Find the slope and equation of each line

Line A

             m = \frac{2 - 0}{-1 + 2}

             m = \frac{2}{1}

                    m = 2

             y - 0 = 2(x + 2)

            y = 2x + 4

Line B

             m = \frac{0 + 5}{-6 + 1}

             m = \frac{5}{-5}

                    m = -1

             y - 0 = -1(x + 6)

             y = -x - 6

3.- Find the inequalities

Line A, we are interesteed in the lower area of the line, so the inequality is

                      y ≤ 2x + 4

Line B, we are also interested in the lower area of the line so the inequality is

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Square root of 9/100
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\sqrt{ \frac{9}{100} }
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