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Finger [1]
2 years ago
10

Determine if the lines are parallel, perpendicular, neither or the same line: 3x + 2y = 1 and y = -x - 1.

Mathematics
2 answers:
Svetradugi [14.3K]2 years ago
3 0

Answer:

Neither

Step-by-step explanation:

When you rearrange the equation 3x+2y=1 in the form of y=mx+c

you get:

2y=-3x+1

y=-\frac{3}{2} x+0.5

And if you compare it with the equation y= -x -1

You can see that the gradient is not the same, so it means it is not parallel.

To get if it is perpendicular you need to see if the two gradients multiply to give the value -1 but when you multiply

-\frac{3}{2}×-1= 3/2 so it is not perpendicular as well

I hope it is right, feel free to point out anything wrong or you're unsure of :)

kari74 [83]2 years ago
3 0

Answer:

neither

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines equals - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

3x + 2y = 1 ( subtract 3x from both sides )

2y = - 3x + 1 ( divide each term by 2 )

y = - \frac{3}{2} x + \frac{1}{2} ← in slope- intercept form

with slope m = - \frac{3}{2}

y = - x - 1 ← is in slope- intercept form

with slope m = - 1

Since the slopes are not equal then the lines are not parallel

- \frac{3}{2} × - 1 = \frac{3}{2} ≠ - 1

Then the lines are not perpendicular

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5 0
3 years ago
Find the volume of the cone. Round your answer to the nearest tenth.
Sergeu [11.5K]

9514 1404 393

Answer:

  115.5 cubic yards

Step-by-step explanation:

The volume is given by the formula ...\

  V = 1/3πr²h

Here the diameter is 7 yards, so the radius is 3.5 yards. The volume is then ...

  V = (1/3)π(3.5 yd)²(9 yd) = 36.75π yd³ ≈ 115.454 yd³

The volume of the cone is about 115.5 cubic yards.

3 0
3 years ago
The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $16 and $30 per share.
serg [7]

Answer:

a) 0.3571 = 35.71% probability that the stock price will be more than $25.

b) 0.1429 = 14.29% probability that the stock price will be less than or equal to $18.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

Uniformly distributed between $16 and $30 per share.

This means that a = 16, b = 30

a) More than $25?

P(X > x) = \frac{30 - 25}{30 - 16} = 0.3571

0.3571 = 35.71% probability that the stock price will be more than $25.

b) Less than or equal to $18?

P(X < 18) = \frac{18 - 16}{30 - 16} = 0.1429

0.1429 = 14.29% probability that the stock price will be less than or equal to $18.

4 0
2 years ago
Which angle is complementary to ∠4 ?<br> a. ∠ 3<br> b. ∠ 2<br> c. ∠ 1<br> d. ∠ 6
GrogVix [38]

Answer:

a.Angle. 3

Step-by-step explanation:

Angle 3 is complementary to angle 4.

Because 70+20=90°

7 0
3 years ago
Please help. I really don't seem to understand this question. ​
ivann1987 [24]

Answer:

m3=15(8)+22=142

m1=19(8)-10=142

Both are equal so the answer is Yes they are parallel

3 0
2 years ago
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