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scZoUnD [109]
3 years ago
14

Easy question

Mathematics
1 answer:
Allushta [10]3 years ago
8 0

Answer:

1) Centre: (-4,-8)

Radius: sqrt(93)

2) y = ¼x² - x + 4

Step-by-step explanation:

1) 4x² + 8x +4y² +16y -13 = 0

h = -8/2 = -4

k = -16/2 = -8

(-4)² + (-8)² - (-13) = r²

r² = 93

r = sqrt(93)

sqrt: square root

2) h = (0+4)/2 = 2

y = a(x - 2)² + k

4 = a(0-2)² + k

4 = 4a + k

k = 4 - 4a

12 = a(8-2)² + k

12 = 36a + k

12 = 36a + 4 - 4a

8 = 32a

a = ¼

k = 4 - 4(¼) = 4 - 1 = 3

y = ¼(x - 2)² + 3

y = ¼(x² - 4x + 4) + 3

y = ¼x² - x + 1 + 3

y = ¼x² - x + 4

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As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.

1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
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Hope this helps! Good luck!
5 0
4 years ago
Read 2 more answers
Please really need help
zavuch27 [327]

Answer:

IDK

Step-by-step explanation:

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6 0
4 years ago
What is the slope of the line that passes through the points (−10,−8) and (-8, -16) Write your answer in simplest form.
jarptica [38.1K]

Step-by-step explanation:

given,

point = ( -10, -8 ) and ( -8, -16 )

we know,

slope = y2 - y1 / x2 - x1

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x2 , y2 = ( -8, -16 )

after inserting the values we got,

→ -16 - (-8 ) / -8 - (-10)

→ -8/2 → -4

therefore, slope of line is -4.

hope this answer helps you dear...take care and may this answer helps you dear!.

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Answer:

The next step would be adding -4 to the other side since it would cancel out -4

Step-by-step explanation:

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Answer:

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good luck ! :)

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