All categories

3 years ago

Consider the equation, -2x + 3y = 6. Identify the slope.

Mathematics

1 answer:

Lerok [7]3 years ago

7 0

Answer: 2/3

Step-by-step explanation: To identify the slope of this line, we first need to convert this equation to slope-intercept form.

In slope-intercept or y = mx + b form, the y

is by itself on the left side of the equation.

So our first task in this problem is to get y by itself

on the left side of the equation and we do that by

first adding 2x to both sides to get 3y = 2x + 6.

Notice that I put the x term first on the right side of the equation and then the number because in y = mx + b form, the x term comes first on the right side of the equation.

Continuing on, to get y by itself we would

divide both sides by 3 to get y = 2/3x + 2.

Now in y = mx + b form, the slope is coefficient of the x term.

So we can see that the slope of this line is 2/3.

You might be interested in

During the national day celebrations.Asha decorates her balcony with serial lights of red,green and white colours.The red light

expeople1 [14]

If all three coloured lights blink together at 8:49 pm, they will blink together at 8:50 pm

Solution:

Given that the red light blinks at intervals of 4 seconds, the green at 5 seconds and the white at 6 seconds.

If all three colored lights blink together at 8:49 pm,

We have to find when will they blink together again?

First let us know, at what intervals they all together blink.

For that we have to find the lcm of 4, 5, 6.

L.C.M (4, 5, 6) = 2 x L.C.M(2, 5, 3)

As 2,3,5 are primes, we can’t take common further, so multiply all

= 2 x 2 x 5 x 3

= 4 x 15 = 60

So, after every 60 seconds = 1 minute they will blink.

Then, after 8 : 49 pm, they will blink at 8 : 49 + 1 = 8 : 50 pm.

Hence, they all blink at 8 : 50 pm.

6 0

2 years ago

What is the product?

cestrela7 [59]

Answer:

-8265

Step-by-step explanation:

8 0

2 years ago

I need help asapp!!!!!!!

labwork [276]

Answer:

Step-by-step explanation:

As per midsegment theorem of a trapezoid,

Segment joining the midpoints of the legs of the of the trapezoid is parallel to the bases and measure half of their sum.

Length of midsegment = $\frac{1}{2}(b_1+b_2)$

3). MN = $\frac{1}{2}(18+10)$

= 14

4). MN = $\frac{1}{2}(57+76)$

= 66.5

5). MN = $\frac{1}{2}(AB+DC)$

7 = $\frac{1}{2}(AB+10)$

14 = AB + 10

AB = 14 - 10

AB = 4

6). 15 = $\frac{1}{2}[(3x+2)+(2x-2)]$

30 = 5x

x = 6

4 0

2 years ago

Triangle MNP is dilated according to the rule DO,1.5 (x,y)Right arrow(1.5x, 1.5y) to create the image triangle M'N'P, which is n

Vikki [24]

Given:

The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).

The rule of dilation is:

$(x,y)\to (1.5x,1.5y)$

The image of triangle MNP after dilation is M'N'P'.

To find:

The coordinates of the endpoints of segment M'N'.

Solution:

The end points of MN are M(-4, 6) and N(2, 6).

The rule of dilation is:

$(x,y)\to (1.5x,1.5y)$

Using this rule, we get

$M(-4,6)\to M'(1.5(-4),1.5(6))$

$M(-4,6)\to M'(-6,9)$

And,

$N(2,6)\to N'(1.5(2),1.5(6))$

$N(2,6)\to N'(3,9)$

The endpoints of M'N' are M'(-6, 9) and N'(3, 9).

Therefore, the correct option is B.

8 0

3 years ago

The lifetimes of 10,000 watch batteries are normally distributed the mean lifetime is 500 days the standard deviation is 60 days

Lelu [443]

Given:
μ = 500 days, the population mean
σ = 60 days, the population standard deviation

Therefore
μ + σ = 560
μ - σ = 440
μ + 2σ = 620
μ - 2σ = 380
μ + 3σ = 680
μ - 3σ = 320

The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
About 95% of the total area lies in x = (μ-2σ, μ+2σ)
About 99.7% of the total area lies in x = (μ-3σ, μ+3σ).

7 0

3 years ago