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3 years ago

What are the vertex focus and directrix of the parabola with the given equation y=1/28(x-4)^2-5

2 answers:

8 0

If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the y-axis, it has an equation of (x - h)^2 = 4p(y - k), where the focus is (h, k+p) and the directrix is y = k - p. So, we need to determine the values from the equation.

y=1/28(x-4)^2-5
(x-4)^2 = 28(y+5)
(h,k) = (4, -5)
p = 7

focus= (h, k+p) = 4,2
directrix = y = k - p = -12

Hope this answers the question.

Nata [24]3 years ago

8 0

The answer is:

vertex: (4,-5); focus: (4,2); directrix: y=-12

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$6,000 dollars is invested in two different accounts earning 3% and 5% interest. at the end of one year, the two accounts earned

Anettt [7]

Answer-

$2000 were invested at 5%

Solution-

Let x amount of money was invested at 5% and (6000-x) amount was invested as 3%

We know that,

$i=\dfrac{P\cdot r\cdot t}{100}$

Putting the values,

$i_1=\dfrac{P_1\cdot r_1\cdot t}{100}$

$i_1=\dfrac{x\cdot 5\cdot 1}{100}=\dfrac{5x}{100}$

And

$i_2=\dfrac{P_2\cdot r_2\cdot t}{100}$

$i_2=\dfrac{(6000-x)\cdot 3\cdot 1}{100}=\dfrac{3(6000-x)}{100}$

According to the question,

$\Rightarrow \dfrac{5x}{100}+\dfrac{3(6000-x)}{100}=220$

$\Rightarrow \dfrac{5x+3(6000-x)}{100}=220$

$\Rightarrow 5x+3(6000-x)=22000$

$\Rightarrow 5x+18000-3x=22000$

$\Rightarrow 5x-3x=22000-18000$

$\Rightarrow 2x=4000$

$\Rightarrow x=2000$

Therefore, $2000 were invested at 5%

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3 years ago

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musickatia [10]

Answer:

1050

Step-by-step explanation:

Multiply all 3 numbers

20x7=140 140x15=2100

Then divide by 2

2100/2=1050

Hope this helps :)

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3 years ago

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Tom [10]

I think that 0 is rational, as it always is. The answer is D. I am not sure, but I hope it helps.

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4 years ago

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The temperature on a winter day increased 37oF. If the beginning temperature was -9oF, what was the temperature after the increa

Rashid [163]

If you would like to know what was the temperature after the increase, you can calculate this using the following step:

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The temperature after the increase was 28oF.

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4 years ago

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Mama L [17]

Answer:

C. 50

Step-by-step explanation:

The triangles are proportional and that is why you can find the scale factor. Set up a proportion (equivalent fractions). Set the proportion up with the corresponding sides together on thee top or the bottom of the proportion.

65 = 91

x 70

91x = 65 * 70

91x = 4550

91 91

x = 50

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