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2 years ago

Write the equation of the line that is parallel to the line y=3x+7 and passes through the

Mathematics

1 answer:

nydimaria [60]2 years ago

5 0

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1) when : x_1= -4 y_1= -14

m= 3 (parallel means same slope)

an equation in the point-slope form is : y +14 =3(x+4)

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The length of the two sides of the right triangle ABC are given.Find the length of the missing side.See example 1

vitfil [10]

The answer is 10. Hope this helps.

5 0

3 years ago

Read 2 more answers

Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (6,2), (negative 2,negative 4

marin [14]

Answer:

(2,-1)

Step-by-step explanation:

A graph is useful here. Points X and Y have coordinate differences of ...

X -Y = (6, 2) -(-2, -4) = (6+2, 2+4) = (8, 6)

Then the distance between X and Y is ...

d = √(8² +6²) = √100 = 10

The point 5 units from X and from Y is the midpoint of XY:

E = (X +Y)/2 = ((6, 2) +(-2, -4))/2 = (4, -2)/2 = (2, -1)

The epicenter is (2, -1).

_____

The graph shows circles of radius 5 around X and Y, and a circle of radius 13 around Z. The circles intersect at the point (2, -1), the epicenter.

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2 years ago

If the diagonal of the rectangle is 10.5 inches and the length of the rectangle is 7.25 inches, what is the width of the rectang

o-na [289]

Answer:3.75

Step-by-step explanation:

6 0

2 years ago

ccording to the U.S. National Weather Service, at any given moment of any day, approximately 1000 thunderstorms are occurring wo

viva [34]

Answer:

The critical value of z for 99% confidence interval is 2.5760.

The 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

Step-by-step explanation:

Let X = number of lightning strikes on each day.

A random sample of n = 23 days is selected to observe the number of lightning strikes on each day.

The random variable X has a sample mean of, $\bar x=8.1\ mn$ and the population standard deviation, $\sigma=0.51\ mn$ .

The (1 - α)% confidence interval for population mean μ is:

$CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Compute the critical value of z for 99% confidence interval is:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.5760$

*Use a z-table.

The critical value of z for 99% confidence interval is 2.5760.

Compute the 99% confidence interval for population mean number of lightning strike as follows:

$CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\=8.1\pm2.5760\times\frac{0.51}{\sqrt{23}}\\=8.1\pm0.2738\\=(7.8262, 8.3738)\\\approx(7.83, 8.37)$

Thus, the 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

The 99% confidence interval for population mean number of lightning strike implies that the true mean number of lightning strikes lies in the interval (7.83 mn, 8.37 mn) with 0.99 probability.

3 0

2 years ago

I really need help with this Triangle problem

hjlf

Answer:

Step-by-step explanation:

pythagoras theorem

${x}^{2}$

$=225 \times 2 + 225 \times 2 \\$

=900

x=30

3 0

2 years ago