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vredina [299]
3 years ago
15

What is the solution of the ineuality 1/2x+1/4 > 3/2x+3/4 ?

Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0

Answer:

x < - \frac{1}{2}

Step-by-step explanation:

Given

\frac{1}{2} x + \frac{1}{4} > \frac{3}{2} x + \frac{3}{4}

The lowest common multiple of 2 and 4 is 4

Multiply through by 4 to clear the fractions

2x + 1 > 6x + 3 ( subtract 2x from both sides )

1 > 4x + 3 ( subtract 3 from both sides )

- 2 > 4x ( divide both sides by 4 )

- \frac{2}{4} > x

- \frac{1}{2} > x , thus

x < - \frac{1}{2}

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Nina is 10 years younger than deepak. Deepak is 3 times as old as Nina. Which system of equations can be used to find d,deepaks
Vesna [10]

Answer:

We can use linear system of equation with one variable.

Step-by-step explanation:

It is given that,Nina is 10 years younger than Deepak.

Deepak is 3 times as old as Nina.

<u>To solve this using linear equation</u>

Let d be the age of Deepak and n be the age of NIna

we can write,

n = (d - 10)   ---(1)

d = 3n    

d = 3(d - 10)  --------(2)

d = 3d - 30

3d - d = 30

2d = 30

d = 30/2 = 15

n - d - 10 = 15 - 10 = 5

Therefore the age of Deepak = 15 and age of Nina = 5

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A cylindrical candle has a volume of approximately 400cm^3 and is 8 cm tall. What is the radius of the candle?
katrin2010 [14]

Answer:

<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>

We know that

V = πr²h

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2800 = 154r²

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Help with 1 4 and 5<br> I don't get it
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Adrian ordered a blue-denim jacket for $69.75 and 2 sweaters for $55 each. With 7% sales tax and shipping below, how much was hi
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1. M is the midpoint of LN and O is the midpoint of NP.
Reptile [31]
1. M is the midpoint of LN and O is the midpoint of NP. This makes the triangle MNO equal to half of LNP. Then you can get this equation
MO= (1/2) LP

If you insert MO = 2x +6 and LP = 8x – 20 the calculation would be:
2x+6= (1/2)( 8x-20)
2x+6= 4x-10
2x-4x= -10 - 6
-2x= -16
x=8

2. Centroid is the point that intersects with three median lines of the triangle. The centroid should divide the median lines into 1:2 ratio. In AC lines, A located in the base so A.F:FC would be 1:2

Then, the answer would be:
A.F= 1/(1+2) * AC
A.F= 1/3 * 12= 4

FC= 2/(1+2) * AC
FC= 2/3 * 12= 8

3. Since
∠BAD=∠DAC
∠ABD=∠ACD
AD=AD
The triangle ABD and ACD are similar. You can get this equation
BD=DC
x+8= 3x+12
x-3x= 12-8
-2x=4
x=-2

DC=3x+12= 3(-2) +12= 6

4. Orthocenter made by intersection of triangle altitude
A
BC lines slope would be (-4)-(-1)/1-4= -3/-3= 1. The altitude line slope would be -1, the function would be:
y=-x +a
0= 1+a
a=-1
y=-x-1
B
AC lines slope would be (-4)-(-1)/1-0= -3. The altitude line slope would be 1/3, the function would be:
y=1/3x+a
-1=1/3(4)+a
a=-7/3
y=1/3x - 7/3

C
BC lines slope would be (-1)-(-1)/4 = 0/4. 
The line would be 
0=x+a
a=-1
0=x-1
x=1

y=-x-1 = 1/3x-7/3
-x-(1/3x)=-7/3 +1
-4/3x= -4/3
x=1

y=-x-1
y=-1-1= -2
The orthocenter would be (1,-2)

5. 
a. Circumcenter: the intersection of perpendicular bisector lines<span>
b. Incenter: the intersection of bisector lines
c. Centroid: </span>the intersection of median lines<span>
d. Orthocenter: </span>the intersection of altitude lines
5 0
2 years ago
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