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Ipatiy [6.2K]
3 years ago
10

4x+1=9+4y please help me solve for x please show step by step I’m very confused

Mathematics
2 answers:
Inessa05 [86]3 years ago
7 0

Answer:

<em>x - y = 2</em>

Step-by-step explanation:

First of all, you would combine like terms, giving you 4x - 4y + 1 = 9.

Next, subtract the numbers, which gives you 4x - 4y = 8.

Finally, divide both sides by 4, which will come to the conclusion of x - y = 2, the simplest form of which this equation can be broken down to.

ale4655 [162]3 years ago
4 0

Answer:

x =  y + 2

Step-by-step explanation:

given

4x + 1 = 9 + 4y

4x = 4y + 9 - 1

4x = 4y + 8

making x the subject by dividing through by 4

\frac{4x}{4}  =  \frac{4y + 8}{4}

x =  \frac{4y + 8}{4}

x =  \frac{4y}{4}  +  \frac{8}{4}

x = y + 2

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A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each
Nadya [2.5K]

Answer:

312.5\pi \text{ km}^3\approx 981.75\text{ km}^3

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}, where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}

\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}

\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}

\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3

\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3

\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3

Therefore, the volume of earth removed to build the three tunnels is 312.5\pi \text{ km}^3\approx 981.75\text{ km}^3.


4 0
3 years ago
in a circle a 60 sector has an area of 25 pi square feet. what is the circumference? leave your answer in terms of pi and in sim
belka [17]
The area of the sector is given by the equation,
                           A = πr²(x / 360°)
where x is the number of degrees in the figure. 
                           25π ft² = (πr²)(60/360)
The value of  r is 12.25 ft. Then, we use this value to calculate for the circumference of the sector. 
                           C = 2πr(x/360)
Substituting,
                              C = 2π(12.45)(60/360)
                                   C = 12.83 ft³
7 0
3 years ago
Can someone please help me it's urgent!<br> Classify triangle ABC. Justify your classification.
NikAS [45]

Answer:it's an equilateral triangle

Step-by-step explanation:

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4 0
3 years ago
What is the value of the expression? Negative 16 + 12
Vera_Pavlovna [14]

Answer:

B) Negative 4

4 0
3 years ago
Factor x^3-4x^2-3x+18=0 given that 3 is a zero.
Mandarinka [93]

Answer:

B: (x + 2)(x - 3)^2

Step-by-step explanation:

This is only going to have 3 roots. One of them is (x - 3)

D does not look right. So let's solve it using synthetic division.

3 || 1    - 4      -3       18

            3       -3      -18

========================

     1     -1       -6        0


So what you have is a quadratic

  • x^2 - x - 6 = 0 which will factor
  • (x - 3)(x + 2) = 0
  • x - 3  = 0
  • x = 3
  • x + 2 =0
  • x = - 2
  • (x - 3)(x - 3)(x + 2 ) = 0

The answer is B

3 0
3 years ago
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