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3 years ago

What is the equation of the line that is perpendicular to the linear

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

5 0

Answer:

y=3/2x-2

Step-by-step explanation:

gradient line 1= -2/3

perpendicular meaning gradients when multiplied should be -1

gradient line 2=3/2

y+2=3/2

x-0

y+2=3/2(x-0)

y+2=3/2x-0

y=3/2x-2

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Y=-×+1 and y=2×+4 how many solutions when graphed

dedylja [7]

Answer:

One solution (-1,2)

Step-by-step explanation:

Since these two linear equations have different slopes, different y-intercepts, and are indeed linear, these equations will only have one crossing when graphed, and hence one solution.

To find that solution, we can simply set the equations equal to each other.

y = -x + 1

y = 2x + 4

-x + 1 = 2x + 4

-3 = 3x

-1 = x

Now plug that value back into one of the equations:

y = -x + 1

y = -(-1) + 1

y = 2

So now you know the crossing for these two equations occurs at (-1,2).

Cheers.

3 0

3 years ago

A cylinder has a volume 1200 cubic inches and radius 5 inches. What is the height of the cone to the nearest tenth inch

mihalych1998 [28]

Answer: 15.3 in

Step-by-step explanation:

First, the formula for the volume is: $V=\pi r^2h$

If you solve for h,

$h=\frac{V}{\pi r^2}$

$h=\frac{1200in^3}{(3.14)(5in)^2}$

$h=15.3in$

3 0

3 years ago

Maths- please help me with this Q

Reika [66]

Step-by-step explanation:

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5 0

1 year ago

Read 2 more answers

Solve for x in a triangle. Round your answer to the nearest hundredth

Molodets [167]

16cos(28). Type that in like last time.

8 0

2 years ago

"You measure 34 dogs' weights, and find they have a mean weight of 67 ounces. Assume the population standard deviation is 13.5 o

liraira [26]

Answer:

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{13.5}{\sqrt{34}} = 4.54$

The lower end of the interval is the sample mean subtracted by M. So it is 67 - 4.54 = 62.46 ounches.

The upper end of the interval is the sample mean added to M. So it is 67 + 4.54 = 71.54 ounces.

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

7 0

3 years ago