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xeze [42]
3 years ago
8

What are the slope and y-intercept of the linear function graphed to the left?

Mathematics
1 answer:
Igoryamba3 years ago
6 0

Answer:

y intercept equals 1

Step-by-step explanation:

y= -1/2x+1

the slope is -1/2

the y intercept is 1

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Find the area of each regular polygon. Round your answer to the nearest tenth if necessary​
Gnesinka [82]

Answer:

Step-by-step explanation:

13). Area of a square = (Side)²

                                   = (BC)²

     Since, diagonals of a square bisect each other at 90°,

     ΔBOC is a right triangle.

     By applying Pythagoras theorem in the given triangle,

     BC² = OB² + OC²

     BC² = 2(OB)²

     BC² = 2(7√2)²

     BC = \sqrt{196}

     Area of square ABCD = (BC)²

                                          = (√196)²

                                          = 196 units²

14). Measure of interior angles of the regular hexagon = 120°

     Area of the regular hexagon = \frac{3\sqrt{3}}{2}(\text{side})^2

      From the given picture,

      m∠BAC = m∠ABC = m∠ACB = 60°

      Therefore, ΔABC is an isosceles triangle.

      And all sides of this triangle will be equal in measure.

      AB = AC = BC = 9 units

      Area of the given regular hexagon = \frac{3\sqrt{3}}{2}(9)^2

                                                                 = 210.44 square units

                                                                 ≈ 210.4 square units

5 0
3 years ago
The eight term of a geometric progression is given by Sn= -[-3(sin^2x + cos^2x)^n + In e. Find the first term and common ratio.​
igor_vitrenko [27]

Answer:

Step-by-step explanation:

Sn= -[-3(sin^2x + cos^2x)^n + In e.

sin^2x + cos^2x = 1  and ln e = 1, so

Sn = -(-3)^n + 1

When n = 8

this = -(-3)^8 + 1

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Answer:

-15804

Step-by-step explanation:

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Answer:

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