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gulaghasi [49]
3 years ago
15

Need help with this question. I will give Brainliest!

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer:

See below

Step-by-step explanation:

a) The vertex is (0,2) so the standard form equation is (x-0)^2=4p(y-2). Since p=1/(4a) and a=1/8, then p=1/(4(1/8))=1/(1/2)=2. This makes the equation now x^2=8(y-2). Given the focus point for a vertical parabola is (h,k+p) then the focus point is (0,2+2) which is (0,4)

b) They are both 4 units away

c) I can't solve

d) I can't solve

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7 0
3 years ago
Can someone help me with this please
Anni [7]

Answer:

x = 61

Step-by-step explanation:

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2x - 6 + x + 3 = 180

3x - 3 = 180

3x = 183

x = 61

3 0
2 years ago
Which statement is correct?
abruzzese [7]

Answer:

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3 0
3 years ago
A realtor listed a house that was 45 yards by 10 yards. what is the total square footage of the house?
lutik1710 [3]
The total square footage 2,070 Sq Ft
8 0
3 years ago
Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = x − ln 8x, [1/2, 2]
insens350 [35]
The given function is 
f(x) =  x - ln(8x), on the interval [1/2, 2].

The derivative of f is
f'(x) = 1 - 1/x
The second derivative is 
f''(x) = 1/x²

A local maximum or minimum occurs when f'(x) = 0.
That is,
1 - 1/x = 0  => 1/x = 1  => x =1.
When x = 1, f'' = 1 (positive).
Therefore f(x) is minimum when x=1.
The minimum value is
f(1) = 1 - ln(8) = -1.079

The maximum value of f occurs either at x = 1/2 or at x = 2.
f(1/2) = 1/2 - ln(4) = -0.886
f(2)  = 2 - ln(16) = -0.773
The maximum value of f is
f(2) = 2 - ln(16) = -0.773
A graph of f(x) confirms the results.

Answer: 
Minimum value  = 1 - ln(8)
Maximum value = 2 - ln(16)


4 0
3 years ago
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