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Thepotemich [5.8K]
3 years ago
12

Is 1 + 4 (3x - 10) - 12 equivalent to -9

Mathematics
1 answer:
Phoenix [80]3 years ago
6 0

Answer:

No.The answer should be -4.1

Step-by-step explanation:

1+4(3x-10)-12

5(3x-10)-12

15x-50-12

15x-62

x=-62/15

x=-4.1

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A pendant is formed using a cylinder and cone. Once assembled, as shown below, the pendant is painted. How many square millimete
solmaris [256]
Surface area of cylinder is given by area of circle + area of the rectangle that curved around the cylinder

Area of the base of the cylinder = \pi r^{2} = 8^{2} \pi =64 \pi
Area of the cylinder 'wall' = width × length = 12×2r \pi=12×16 \pi=192 \pi

Note that the wall of the cylinder is in the shape of a rectangle. The width of the rectangle is the height of the cylinder. The length of the rectangle is the circumference of the circle base.

Surface area of cone is given by \pirl where l is the slanted height of the cone

SA of cone = \pi (8)(10)=80 \pi

Hence total painted surface area is 80 \pi +192 \pi +64 \pi =336 \pi


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The population of a city is 100,000. It doubles each decade for 5 decades. Select all
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What is the solution set of x2 + 5x + 1 = 0?
DerKrebs [107]

Answer:

\huge\boxed{\left\{-\dfrac{5+\sqrt{21}}{2};\ \dfrac{-5+\sqrt{21}}{2}\right\}}

Step-by-step explanation:

x^2+5x+1=0\\\\\text{Use the quadratic formula:}\\\\\text{For}\ ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta < 0,\ \text{then the equation has no real solution}\\\text{if}\ \Delta=0,\ \text{then the equation has one real solution}\ x=\dfrac{-b}{2a}\\\text{if}\ \Delta>0,\ \text{then the equation has two real solution}\ x=\dfrac{-b\pm\sqrt{\Delta}}{2a}

\text{We have}\\\\a=1,\ b=5,\ c=1\\\\\Delta=5^2-4(1)(1)=25-4=21>0\\\\x=\dfrac{-5\pm\sqrt{21}}{2(1)}=\dfrac{-5\pm\sqrt{21}}{2}

3 0
3 years ago
1. 51=-7x-6(-4x+17)<br><br>2. 184=-2x+6(5x-16)<br><br>Solve for x​
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Answer:

1- x= 9

2- x= 10...............

4 0
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