Answer:
y = 0
x = -4
( x, y ) = ( -4 , 0 )
Step-by-step explanation:
y = 5x + 20
y = -2x - 8
Substitute
5x + 20 = -2x - 8
Add 8 on both sides
5x + 20 + 8 = -2x - 8 + 8
5x + 28 = -2x
Subtract 5x on both sides
5x - 5x + 28 = -2x - 5x
28 = -7x
Divide by -7 on both sides
28/-7 = -7x/-7
-4 = x
Now that you have x, you can substitute it in one of the equations that was given to find the value of y.
y = 5x + 20
y = 5(-4) + 20
y = -20 + 20
y = 0
Or....
y = -2x - 8
y = -2(-4) - 8
y = 8 - 8
y = 0
They will both be 0 no matter what
Point form = ( -4, 0 )
Hope this helped
Answer:
58.1 cm
Step-by-step explanation:
The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.
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<h3>Pythagorean theorem</h3>
The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...
c² = a² +b²
<h3>application</h3>
For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.
30² = 7.5 +b²
b² = 900 -56.25 = 843.75
b = √843.75 ≈ 29.0473
The length of each support rod is twice this value, so ...
rod length = 2b = 2(29.0473) = 58.0947
Each support rod is about 58.1 cm long.
Answer:
The volume of the prism is 576 cubic feet
Step-by-step explanation:
Length of rectangular prism = 8 feet
Width of rectangular prism = 6 feet
Height of rectangular prism = 12 feet
Volume of rectangular prism = 
Volume of rectangular prism =
Volume of rectangular prism =
Hence the volume of the prism is 576 cubic feet
Answer is -10
Work: -(5+5)
<h3>
<em><u>Answer:-6 divided by ( - 2/3) times(-5)</u></em></h3>
<h3>
Step-by-step explanation:-<em><u>45 </u></em></h3><h3><em><u /></em></h3><h3>
Negative Six divided by negative two thirds times negative five equals -45 ... O_O</h3>