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Artyom0805 [142]
2 years ago
12

The equation of line CD is y = -2x - 2. What is the equation of a line parallel to line CD in slope-intercept form that contains

point (4,5)?
Mathematics
2 answers:
castortr0y [4]2 years ago
6 0

Answer:

y=-2x+13

Step-by-step explanation:

Slope-intercept form of a line is y=mx+b where m is slope and b is y-intercept.

The slope of y=-2x-2 is -2 since m=-2.

A line that is parallel to the given line is going to have the same slope.

So we already know the equation we are looking for should be in the form y=-2x+b.

We just to need to find b.

We can use the given point on our line do that.

5=-2(4)+b

5=-8+b

8+5=b

13=b

So the equation is y=-2x+13.

yawa3891 [41]2 years ago
4 0

Answer:

y = -2x+13

Step-by-step explanation:

The slope of the original line is -2 so you take that and plug it in with the points (4,5) in point slope form to get y-5 = -2(x-4), then you simplify to get      y-5 = -2x+8 then y = -2x+13

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Hi can you help ive tried so many way
Allushta [10]

Answer:

Step-by-step explanation:

When you reflect over the line y=-x, you flip the x and y coordinate and multiply them by negative one, so for example (2,3) would become (-3,-2) or (-1,7) would be (-7,1). Using this rule you can find the new point for each point in the figure. The point lying on (-2,1) would be reflected to (-1,2). The point on (-4,1) would move to (-1, 4). The point on (-4,-1) would be moved to (1,4). The point lying on (-3,-1) would be reflected onto (1,3). The point on (-3,-2) would be on (2,3). Lastly, the point on (-2,-2) would be reflected to (2,2). i hope this helped lol. :)

8 0
3 years ago
Last year, Jay was 96 inches tall. This year, he is 108 inches tall. What is the percent increase in Jay’s height
Lerok [7]

Answer: 12.5%

Step-by-step explanation:

108-96=12, so he grew 12 inches.

12/96=0.125,

0.125*100=12.5, 12.5%

3 0
2 years ago
Can you please help me?
Harlamova29_29 [7]

Answer: No

Step-by-step explanation: Because.

8 0
2 years ago
Read 2 more answers
A cylinder has a radius of 14 m and a height of 6 m.
Irina18 [472]

Volume of the cylinder is 3696 m²

Step-by-step explanation:

  • Step 1: Calculate volume of the cylinder using the formula V = πr²h

⇒ V = 22/7 × 14² × 6 = 3696 m²

8 0
2 years ago
A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get
julsineya [31]

I have an expression

\sigma = \sqrt{p(1-p)/n}

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

E( (b-p)^2 ) =  (-p)^2(1-p) + (1-p)^2p = p(1-p)

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

\sigma = \sqrt{p(1-p)/n}

Plugging in the numbers,

\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

7 0
3 years ago
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