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3 years ago

Using the given information write the equation of parabolas:

Mathematics

1 answer:

lana [24]3 years ago

8 0

The general form of the equation we need to find is (x - h)^2 = 4p(y- k).

The center is the distance between the directrix and focus.

So, center (h, k) = (3, 3/2) .

P = distance from center to the focus and it just so happens to be 1.5.

We now plug everything into the formula given above.

(x - 3)^2 = 4(1.5)(y - 3/2)

(x - 3)^2 = 6(y - 3/2)

Done!

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Find the surface area please

True [87]

Answer:

150 ft

Step-by-step explanation:

5 0

3 years ago

QUESTION IN PHOTO, HELP ASAP

Luba_88 [7]

I don’t get the question? What are you trying to find?

6 0

3 years ago

Santino bought a book for $23.54. The price of the book was $22. What was the sales-tax rate?

Vika [28.1K]

We first find value of tax in dollars.

The difference between the two prices is: 23. 54 - 22 = 1.54

Therefore the sales tax in dollars is 1.54

The tax % will be (amount of tax / original cost price ) × 100

(1.54 / 22) × 100 → (0.07) × 100 = 7

So the tax rate is 7%

We can double check the answer.

7 % of 22 → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54

6 0

3 years ago

Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th

Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

$r_i=2+\dfrac{8-0}4(i-1)=2i$

where 1 ≤ <em>i</em> ≤ 4.

Find the values of the function at these endpoints:

$f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i$

The area is given approximately by the Riemann sum,

$\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i$

where $\Delta x_i=\frac{8-0}4=2$ ; so the area is approximately

$\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}$

where we use the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

6 0

3 years ago

Plz answer last question and im lost!

harkovskaia [24]

Answer:

$\pi$ radian

Step-by-step explanation:

We know that angle for a full circle is 2 $\pi$

In the given figure shape is semicircle

hence,

angle for semicircle will be half of angle of full circle

thus, angle for given figure = half of angle for a full circle = 1/2 * 2 $\pi$ = $\pi$

Thus, answer is $\pi$ radian

alternatively, we also know that angle for a straight line is 180 degrees

and 180 degrees is same as $\pi$ radian.

6 0

3 years ago