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aev [14]
3 years ago
15

Determine if the given equations are parallel, perpendicular, or neither 4y=3x-4 and 4x+3y=-6

Mathematics
1 answer:
Kazeer [188]3 years ago
8 0

Answer:

Perpindicular

Step-by-step explanation:

Solve each equation for y, or point Slope form.

y = mx + b

4y = 3x - 4 divide both sides by 4 to isolate the y.

y = 3/4x - 1

The second equation.

4x + 3y = - 6 subtract 4x from both sides

3y = -4x - 6 divide both sides by 3

y = -4/3 - 2

If you visualize line 1 having a Slope of 3/4, that is, for every 4 we move in the positive x direction, y will increase by 3, it slopes up from left to right crossing the y axis at (0,-1). The second line moves 3 in the positive x direction and decreases in y by 4, it slopes down from left to right crossing the y axis at (0,-2}.

Because the two lines have negative inverse slopes they are perpendicular. 3/4x and - 4/3x

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Problem PageQuestion An automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 wer
8_murik_8 [283]

Answer:

Probability that the first vehicle selected is a motorcycle and the second vehicle is a van is (24/187) or 0.1283.

Step-by-step explanation:

We are given that an automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans.

Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.

As we know that, <u>Probability of any event</u>  =  \frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}

<u>Now, Probability that the first vehicle selected is a motorcycle is given by;</u>

                   =  \frac{\text{Number of motorcycles}}{\text{Total number of vehicles}}

Here, Number of motorcycles = 16

Total number of vehicles = 16 + 9 + 9 = 34

So, <em>Probability that the first vehicle selected is a motorcycle</em> =  \frac{16}{34}

<u>Similarly, Probability that the second vehicle is a van is given by;</u>

              =   \frac{\text{Number of vans}}{\text{Total number of remaining vehicles}}

Here, Number of vans = 9

And Total number of remaining vehicles after selecting one motorcycle = 34 - 1 = 33

So,<em> Probability that the second vehicle selected is a van</em> =  \frac{9}{33}

Therefore, the probability that the first vehicle selected is a motorcycle and the second vehicle is a van  =  \frac{16}{34}\times \frac{9}{33}

                                               =  \frac{24}{187}  =  <u>0.1283</u>

5 0
3 years ago
How do you write number 20 in exponential form? Explain please.
SOVA2 [1]
It is (7x)^(2/3). If we look at our exponent laws (SEE ATTACHMENT), we can see that we can express our equation as so.

3 0
3 years ago
How do you solve this
love history [14]

Answer:

x=-2

Step-by-step explanation:

\frac{1}{6{x}^{2} }  =  \frac{1}{2x}  + \frac{7}{6 {x}^{2} }  \\  \frac{7}{6 {x}^{2} }  -  \frac{1}{6{x}^{2} }  +  \frac{1}{2 {x} }  = 0  \:  \:  \: \:  \:  ( -  \frac{1}{6 {x}^{2} } \: throughout) \\  \frac{6}{6 {x}^{2} }  +  \frac{1}{2x}  = 0  \:  \:  \:  \:  \: (simplify)\\ \frac{1}{ {x}^{2} }  +  \frac{1}{2x}  = 0 \\   \frac{2 {x}^{2} }{ {x}^{2} } +  \frac{2 {x}^{2} }{2x}  = 0 \:  \:  \:  \:  \: ( \times 2 {x}^{2} \:  throughout) \\ 2 + x = 0  \:  \:  \:  \:  \: (simplify)\\ x =  - 2

4 0
3 years ago
Solve the equation 3x + 2 = 4x + 5 using algebra tiles. Which tiles need to be added to both sides to remove the smaller coeffic
Anastasy [175]

Answer:

Step-by-step explanation:

Given the expression

3x + 2 = 4x + 5

1. The smaller coefficient of x is 3

to remove the smaller coefficient

we need to add - 3x to both sides

3x +2 + (-3x) = 4x +5 (-3x)

3x + 2 - 3x = 4x + 5 - 3x

Collecting like terms we have

3x-3x+2= 4x-3x+5

2 = x+ 5

2. The constant on the right side is

5,to remove the constant from the right side of the equation we need to add - 5 to both sides

3x + 2+ (- 5) = 4x + 5 +(-5)

3x+ 2-5 =4x +5-5

3x-3 = 4x

3 0
3 years ago
Can anyone help me on this
aliya0001 [1]

Answer:

-6 and 1

Step-by-step explanation:

If you separate the different powers (^), you have -m^3 - 5m^3 and -m^2 + 2m^2.

-m^3 - 5m^3 = -6m^3

-m^2 + 2m^2 = m^2 or 1m^2

4 0
3 years ago
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