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oee [108]
3 years ago
12

Show work for brainliest.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Answer:

Equation of the parabola: 12y−72=(x−4)212y−72=(x−4)2 or y=x212−2x3+223y=x212−2x3+223.

Vertex form: y=(x−4)212+6y=(x−4)212+6.

No intercept form.

Vertex: (4,6)(4,6).

Focus: (4,9)(4,9).

Eccentricity: 11.

Directrix: y=3y=3.

Latus rectum: y=9y=9.

The length of the latus rectum: 1212.

Axis of symmetry: 

Step-by-step explanation:

from parabola calculator-eMathHelp

I hope it helps.

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Asanji left the science museum and drove toward the lake at an average speed of 45 km/h. Sometime later Huong left driving in th
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Answer:

Asanji drove for 5 hours before Huong caught up

Step-by-step explanation:

Let the time for which Asanji drove alone is "X" hours

Asanji and Huong met after three hours of driving of Huong.

Total time for which Asanji drove = X+3 hours

Thus, distance travelled by Asanji in X+3 hours is equal to distance travelled by Huong in 3 hours

45 ( X+3) = 75 (3)\\

On solving the above equation, we get -

45 X + (45 *3) = 75 *3\\45 X = (75-45)*3\\45 X = 30 *3 \\X = \frac{30 *3}{45} \\X = 2

Asanji drove for 3 + 2 = 5 hours before Huong caught up

8 0
3 years ago
point a is at (1 5) and point c is at (-5 -7) find the coordinates of point b on ab such that ac is 6 times as long as ab
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Answer:

b=(0,3)

Step-by-step explanation:

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What are the solutions for the given equation ?⬇️<br><br> x^2- 6x + 12 = 0
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A building's rafter forms the hypotenuse of a 30°-60°-90° triangle with the roof's frame. If the rafter measures 9 feet, then th
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Step-by-step explanation:

7 0
2 years ago
The gate of a stadium ha two pillars each of height 10ft.with four visible lateral faces and 3ft*3ft bases .the top of eaxh pill
lbvjy [14]

The pillars and the pyramids in the stadium gate means that we have to calculate the area of the items that make up the gate one after the other. At the end of the calculation, the calculated areas are then added up.

The total cost of painting is Rs.21344

First, we calculate the area of 1 side of 1 pillar using:

A = Height * Base

Where

Height = 10ft --- Height of the pillar

Base = 3ft --- Base of the pillar

So:

A = 10ft * 3ft

A = 30ft^2

The area of the 4 sides of the pillar is:

A_2 = 4 * A --- i.e. 4 multiplied by the area of 1 side

A_2 = 4 * 30ft^2

A_2 = 120ft^2

The area of the 2 pillars is:

Area_1 = 2 * A_2 --- i.e. 2 multiplied by the area if 1

Area_1 = 2 * 120ft^2

Area_1 = 240ft^2

Because one part of the pyramid won't be visible, we calculate the area of the pyramid using:

Area = lw + l\sqrt{(w/2)^2 + h^2} + w\sqrt{(l/2)^2 + h^2}

Where:

h = 2 -- the height

l = w = 3 --- the base of the pillar is the length and width of the pyramid.

So, we have:

Area = 3\sqrt{(2/2)^2 + 2^2} + 3\sqrt{(2/2)^2 + 2^2}

Area = 3\sqrt{1 + 4} + 3\sqrt{1 + 4}

Area = 3\sqrt{5} + 3\sqrt{5}

Area = 6\sqrt{5}

For the two pyramids, the area is:

Area_2 = 2 * 6\sqrt 5 -- 2 multiplied by area of 1

Area_2 = 12\sqrt 5

Area_2 = 26.8

So, the total area to be painted is:

Total = Area_1 + Area_2 --- the sum of the area of the pillars and the pyramids

Total = 240+26.8

Total = 266.8ft^2

The unit cost of paint is:

Rate = Rs80 per sq.ft

The total cost of painting is:

Cost = 80 * 266.8

Cost = Rs.21344

Read more at:

brainly.com/question/14320476

7 0
3 years ago
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