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elena-14-01-66 [18.8K]
3 years ago
9

Kendyll has a 91% grade in math. If she scores 80% on one assignment what will her new grade in math be? IF she scores 90% on on

e assignment, not including the 80%, what will her new grade be?
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0

85.5 percent

90.5% percent

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Tresset [83]

Interpreting the inequality, it is found that the correct option is given by F.

------------------

  • The first equation is of the line.
  • The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

x + 2y = 6

2y = 6 - x

y = -0.5x + 2

Thus it is a decreasing line, which removes options J.

  • We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

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  • As for the second equation, the normalized equation is:

3x^2 + 3y^2 = 12

3(x^2 + y^2) = 12

x^2 + y^2 = 4

  • Thus, a circle centered at the origin and with radius 2.
  • Now, we have to check if the line x + 2y - 6 = 0, with coefficients a = 1, b = 2, c = -6, intersects the circle, of centre x = 0, y = 0
  • First, we find the following distance:

d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}

  • Considering the coefficients of the line and the center of the circle.

d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1

  • This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.

A similar problem is given at brainly.com/question/16505684

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Which equation can pair with X- y=-2 to create a consistent and dependent system?
OLEGan [10]
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11111nata11111 [884]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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You need to multiply the two numbers. Or you can use long addition.
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