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Rus_ich [418]
3 years ago
8

What is the value of x? 64 68 (8x -12) (2x + 18)

Mathematics
1 answer:
tamaranim1 [39]3 years ago
4 0
(8x - 12) + 64 + 68 = 180
(A straight line equals to 180)
8x - 12 + 132 = 180
Combine liked terms
8x + 120 = 180
-120 on both sides
8x = 40
/8 on both sides
x = 5

(8x - 12)
8(5) - 12
40 - 12
28

(2x + 18)
2(5) + 18
10 + 18
28

Answer:
x = 5
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Find an equation of the parabola with vertex , − 5 − 5 and directrix = x − 12 .
olchik [2.2K]

Answer:


   x=−y26+y3−136


Explanation:


Given -


Vertex (−2,1)

Directrix x=1


The vertex is in the 2nd quadrant. The directrix is parallel to the y-axis. So, the parabola opens to the left. The vertex of the parabola is not the origin. Then its general form is -


   (y−k)2=−4.a.(x−h)


Where -

h and k are the coordinates of the vertex.


   h=−2)


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   a=1.5 half the distance between Directrix and vertex [= distance between focus and vertex]

Substitute these values in the equation


   (y−1)2=−4.1.5.(x+2)

   y2−2y+1=−6x−12

   −6x−12=y2−2y+1

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7 0
3 years ago
Henry takes out a $650 discounted loan with a simple interest rate of 12% for a period of 7 months. How much money does Henry re
murzikaleks [220]

Answer:

$546

Step-by-step explanation:

Given

Amount, P = $650

Rate, R = 12%

Period, T = 7 months

Required

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We'll solve this using simple interest formula, as thus

I = \frac{PRT}{100}

Substitute values for T, R and P

I = \frac{\$650 * 12 * 7}{100}

I = \frac{\$54600}{100}

I = \$546

<em>Hence, Henry's withdrawal is $546</em>

6 0
4 years ago
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beks73 [17]
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5 0
3 years ago
This question confuses me any help​
topjm [15]

Answer:

<u>42.25π m²</u>

Step-by-step explanation:

Let's solve!

⇒ Take the radius of the lawn to be 'r'

===========================================================

Then, area of the path equals :

⇒ Area of (lawn + path) - Area of lawn

⇒ π (r + 2)² - πr² = 30π

⇒ πr² - πr² + 4πr + 4π = 30π

⇒ 4πr = 26π

⇒ r = 6.5 m

===========================================================

Area of the lawn :

⇒ Area = πr²

⇒ Area = π × (6.5)²

⇒ Area = <u>42.25π m²</u>

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Answer:

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7 0
3 years ago
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