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vampirchik [111]
3 years ago
6

Nine less than the quotient of two and a number x

Mathematics
2 answers:
Sati [7]3 years ago
4 0
Your answer is 2/x-9
mote1985 [20]3 years ago
3 0
9-2÷2x   
By the way quotient(had to google to find it out) LOL
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points a,b and c are collinear on AC, and AB:BC=3/4. A is located at (x,y), B is located at (4,1), and c is located at (12,5). w
olga_2 [115]
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:

We use the distance formula to find the distance between coordinates:

3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²]  = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28  --> eqn 1

The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2

Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1

So, the second equation is

y = 1/2x -1 or x = 2 + 2y --> eqn 2

Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28 
Solving for y, 
y = -2
x = 2+2(-2) = -2

Therefore, the coordinates of point A is (-2,-2).

5 0
3 years ago
Read 2 more answers
What radius of a circle is required to inscribe a regular hexagon with an area of 210.44 cm2 and an apothem of 7.794 cm
alekssr [168]
We know that

[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
</span>210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²

[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm

the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm

<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
8 0
3 years ago
The dimensions of a triangular prism are shown in the diagram.
Inessa05 [86]
The volume is the triangular prism is 6 cm
4 0
3 years ago
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Kimmi and her mom count 254 guests coming to the wedding. There are 9 tables at the wedding. How many guests sit at each table?
valkas [14]

Answer:

28 guests with 2 guests remaining

Step-by-step explanation:

254/9 = 28.2222222

so 28 remainder 2

hope this helps :) mark brainliest?

6 0
2 years ago
A market sells bananas for $0.69 per pound. Which expression represents the cost, in dollars, of p pounds of bananas?
worty [1.4K]

Answer:

StartFraction p over 0.69 EndFraction

69p

Step-by-step explanation:

5 0
3 years ago
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