Answer:
3x - y + 7 = 0
Step-by-step explanation:
The given point is , ( -4 , -5) and the slope is 3. The point slope form is ,
=> y - y₁ = m( x - x₁)
=> y - (-5) = 3 { x - (-4) }
=> y +5 = 3( x + 4 )
=> y + 5 = 3x + 12
=> 3x - y + 12 - 5 = 0
=> 3x - y +7 = 0
<h3>
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> the</u><u> line</u><u> is</u><u> </u><u>3x</u><u> </u><u>-</u><u> </u><u>y </u><u>+</u><u> </u><u>7</u><u> </u><u>=</u><u> </u><u>0</u><u> </u><u>.</u></h3>
Answer:
In order to determine the number of wax cubes needed to make the candle, we divide the volume of the pyramid by the volume of the cube. That is,
number of wax = volume of mold / volume of wax
The formulas are,
number of wax = (1/3)Ah / s³
Where A is the area of the base, in this case 9 cm x 9 cm which is equal to 81 cm². Substituting the known values from the given above,
number of wax = (1/3)(81 cm²)(10 cm) / (4 cm)³ = 4.21
Thus, approximate number of wax should be 4.21. If we are to round this off to the nearest whole number, we will get 5 (considering that we want rather to have excess than missing items)
Step-by-step explanation:
Do you want an answer like this?
5/8>1/8
Multiply both sides of the equation by 3.
Divide both sides of the equation by π.
Solved!!!! :-)
Answer: Well, there's not really a question here... but I can give you the value of each side. I'm assuming that is what the question is asking.
DE : 34 units
EF : 17 units
DF : 30 units
Step-by-step explanation:
You can start by making your equation. Let's say side EF is the value 'x'. Since DE is twice the value of EF, its value will be '2x'. Side DF is 4 units less than the length of side DE, which means that its value will be '2x - 4'
Now, all of these values added together will be 81, since that is the perimeter.
x + 2x + (2x-4) = 81
3x + (2x - 4) = 81
5x - 4 = 81
(Add four to both sides)
5x = 85
(Divide each side by 5)
x = 17
Now we know the value of x. All you have to do now is plug this in to find the lengths of each side. Since EF is just 'x', its length is 17.
DF is '2x', so its length it 2 times 17, or 34.
DE is '2x - 4', so its length will be 34 minus 4, or 30.
To check your answer, add all of these lengths together to make sure the add up to be 81, which is the perimeter.
17 + 34 + 30 = 81