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liraira [26]
3 years ago
5

Determine if the coordinate (6, 8) lies on the circle x^2 + y^2 = 100. ​

Mathematics
1 answer:
SVEN [57.7K]3 years ago
3 0

Answer:

x² + y² = 100

6² + 8² = 100

36 + 64 = 100

100 = 100

Because this is a true statement, the answer is yes, it does lie on the circle.

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If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
kodGreya [7K]

Answer:

The value of n is -6

Step-by-step explanation:

  • If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
  • The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

∴ The vertex of the prabola which represents it is (0, 0)

∵ The given graph is the graph of p(x)

∵ Its vertex is (0, -6)

∴ h = 0 and k = -6

∵ a = 1

→ Substitute them in the form above

∴ p(x) = 1(x - 0)² + -6

∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

∵ p(x) = k(x) + n

→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

8 0
2 years ago
Aaron made a picture frame with the dimensions shown in the figure. What is the area of the picture frame? 120 square centimeter
Temka [501]
72 square centimeters because 
<span>(12×10)−(8×6)</span>
<span>120−48</span>
<span>72</span>
7 0
3 years ago
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miskamm [114]
2 consecutive odd integers...x and x + 2

x + (x + 2) = 36
2x + 2 = 36 <===
3 0
3 years ago
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My teacher wrote the answer on the right but he wants me to show how he did it
Airida [17]

865 is the answer of this question...

4 0
2 years ago
What is the value of x? Leave your answer in simplest radical form.
OleMash [197]

Step-by-step explanation:

By using Pythagoras theoram,

x²= (6)²+(4)²

{x}^{2}  = 36 + 16

{x}^{2}  = 52

x =  \sqrt{52}

x = 2 \sqrt{13}

optionD

5 0
3 years ago
Read 2 more answers
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