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UNO [17]
3 years ago
6

A line is defined by the equation y=2/3x-6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of

this point?
Mathematics
2 answers:
lianna [129]3 years ago
7 0

Answer:

x=9

Step-by-step explanation:

Use the equation of the line and let y=0. Then solve for x.

y=2/3x-6

Let y=0:

0=2/3x-6

Add six to both sides.

6=2/3x

Multiply both sides by 3/2.

3/2*6=x

x=9

adelina 88 [10]3 years ago
6 0
Y = (2/3).x - 6. If y=0, then 0= (2/3).x - 6. Solve for x:

2x/3 - 6 = 0
Same denominator:
(2x - 18)/3 = 0
2x - 18 = 0
2x = 18 and x = 9 (x-coordinate)
 

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There are 12 balls in a bag. One is blue and one is red. What is the exact probability that the blue ball is drawn first and the
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<h3>The exact probability that the blue ball is drawn first and the red ball is drawn second is \frac{1}{132}</h3>

<em><u>Solution:</u></em>

<em><u>The probability of an event is given as:</u></em>

Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}

Given that,

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<em><u>What is the exact probability that the blue ball is drawn first and the red ball is drawn second?</u></em>

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Thus the exact probability that the blue ball is drawn first and the red ball is drawn second is \frac{1}{132}

8 0
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The ticket price for an ice hockey match used to cost ?19.60. The price has now increased by 12.5%. How much will 2 tickets cost
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6 0
3 years ago
A boy who is flying a kite lets out 300 feet of string which makes an angle of 60o with the ground. Assuming that the string is
Aleks [24]
<h3><u>Answer</u> :</h3>

See the attachment for better understanding.

<u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u>: Length of string (AC) = 300ft

<u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u><u> </u>: Height of the kite from ground (AB)

:\implies\sf\:sin60^{\circ}=\dfrac{AB}{AC}

:\implies\sf\:\dfrac{\sqrt{3}}{2}=\dfrac{H}{300}

:\implies\sf\:H=\dfrac{300\sqrt{3}}{2}

:\implies\sf\:H=150\sqrt{3}

:\implies\:\boxed{\bf{\red{H\approx 260\:feet}}}

Hope it helps !

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