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Kobotan [32]
3 years ago
14

Which of the following systems of linear inequalities is represented by the

Mathematics
2 answers:
algol [13]3 years ago
5 0

Answer:

Option D is correct.

Step-by-step explanation:

Option D is correct.

y < 2 and y >= x

Because the dotted line shows that y < 2 and y >=x is shown is represented by diagonal line.

gladu [14]3 years ago
5 0
<h2>Answer:</h2>

Option: D is the correct answer.

      D.    y<2   and    y≥x

<h2>Step-by-step explanation:</h2>

The graph of the system of linear inequalities are two lines:

1)

The first is a solid line which passes through (0,0) , (1,1)

i.e. the equation of the line is: y=x

and the inequality will be a inequality with a equality sign ( since the line is solid ) and the shaded region is above the line .

Hence, the inequality is: y≥x

2)

The second line is a dotted line.

This means that the inequality is strict.

Also, the line is a horizontal line parallel to the x-axis and the line pass through (0,2) and the shaded region is below the line.

Hence, the inequality is given by:

                    y<2

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A rectangle measures 15 2 inches by 4 3 inches. What is its area?
IRINA_888 [86]

Answer:

65.36

Step-by-step explanation:

15.2 x 4.3 = 65.36

4 0
2 years ago
Find the slope of the line that contains the points (6, -2) and (-3, 7).
Ira Lisetskai [31]
Slope = (y2 - y1)/(x2 - x1)
slope = (7 - -2)/(-3 - 6)
slope = 9/-9
slope = -1
4 0
3 years ago
You draw two cards from a standard deck of 52 cards. What is the probability of drawing a queen and then a king consecutively fr
Gelneren [198K]

Answer:

4/663

Step-by-step explanation:

There are 4 queens and 4 kings in a deck. Drawing a queen would be 4/52. Drawing a king afterwards with replacing the queen would be 4/51 because you took a queen but didn't replace that one queen card so the deck has only 51 cards left after you drew the queen. Drawing a queen would not affect your chance of drawing a king card, it will only affect the total number of cards left because you didn't replace the card afterwards. 4*4=16;52*51=2652. 16/2652 can be simplified to 4/663 by dividing 4 to both numbers. 16/4=4 and 2652/4=663. The probability of drawing a queen then a king without replacement would be 4/663.

3 0
3 years ago
Read 2 more answers
NEED HELP ASAP!!!!!!!!!!!
zhenek [66]

The equation  x=tan^{-1}(\frac{12}{5}) can be used to find the measure of ∠BAC ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ ABC

∵ ∠ BCA is a right angle

∴ The hypotenuse is AB

∵ The adjacent side to ∠CAB is AC

∵ The opposite side to ∠CAB is BC

∵ AB = 13 units ⇒ hypotenuse

∵ CB = 12 units ⇒ opposite

∵ AC = 5 units ⇒ adjacent

- Let us find the trigonometry ratios of angle BAC

∵ m∠CAB is x

∵ sin(x)=\frac{BC}{AB}

∴ sin(x)=\frac{12}{13}

∴ x=sin^{-1}(\frac{12}{13})

∵ cos(x)=\frac{AC}{AB}

∴ cos(x)=\frac{5}{13}

∴ x=cos^{-1}(\frac{5}{13})

∵ tan(x)=\frac{BC}{AC}

∴ tan(x)=\frac{12}{5}

∴ x=tan^{-1}(\frac{12}{5})

The equation  x=tan^{-1}(\frac{12}{5}) can be used to find the measure of ∠BAC

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Translate the expression: four times the difference of 7 and a number.
ivolga24 [154]

Answer:

4 x (7-x)

Step-by-step explanation:

4 times (multiply) the difference (subtraction) of 7 and a number (seeing as how you don't know that number use a variable, x)

6 0
1 year ago
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