All categories

3 years ago

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

You might be interested in

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, Probability of any event = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$

Now, Probability that the first vehicle selected is a motorcycle is given by;

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

Here, Number of motorcycles = 16

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

So, Probability that the first vehicle selected is a motorcycle = $\frac{16}{34}$

Similarly, Probability that the second vehicle is a van is given by;

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

Here, Number of vans = 9

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

So, Probability that the second vehicle selected is a van = $\frac{9}{33}$

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

= $\frac{24}{187}$ = 0.1283

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