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3 years ago

Indicate in standard form the equation of the line passing through the given points.

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

6 0

Answer:

y = 6

Step-by-step explanation:

Let the y-intercept form of the equation of the line is,

y = mx + b

Here, m = Slope of the line

b = y-intercept

Slope of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Slope of the passing through (0, 6) and (5, 6) will be,

m = $\frac{6-6}{0-5}$

m = 0

Equation of the line with m = 0 will be,

y = 0 + b

y = b

Since, line passes through (0, 6),

By substituting the values in the equation,

b = 6

Therefore, standard equation of the line passing through (0, 6) and (5, 6) will be,

y = 6

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2,000.h for h = 0.004<br> 2,000 h =

Gekata [30.6K]

Answer:

$h=2\times 10^6$

Step-by-step explanation:

We need to find h for the following condition.

2,000×h = 0.004

Dividing both sides by 2000

$\dfrac{2000h}{2000}=\dfrac{0.004}{2000}\\\\h=0.000002\\\\h=2\times 10^6$

So, the value of h is equal to $2\times 10^6$ .

8 0

3 years ago

Pls answer what you can and I will give brainliest.

belka [17]

Answer:

I believe the top one is true! I'm sorry I couldn't answer them all :c

Step-by-step explanation:

5 0

2 years ago

The radius of a circular rug is 4 feet. How much ribbing will you need to buy to go around the rug? Use 3 14.

alexira [117]

Answer:

100.48 feet

Step-by-step explanation:

The circumfrence of a circle is represented in the equation C=2\pi r^{2}

So we input the values into the equation C=2(3.14)(4)^2 which when entered into a calculator gives you 100.48feet

5 0

3 years ago

Suppose the mean height for adult males in the U.S. is about 70 inches and the standard deviation is about 3 inches. Assume men’

nlexa [21]

Question options :

a. They should be between 64 and 76 inches tall.

b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.

c. They should be at or below the 95th percentile, which is 74.92 inches.

d. None of the above.

Answer: a. They should be between 64 and 76 inches tall.

Step-by-step explanation:

Given the following :

Assume men's height follow a normal curve ; and :

Mean height = 70 inches

Standard deviation= 3 inches

According to the empirical rule ;

Assuming a normal distribution with x being random variables ;

About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.

Using the empirical rule :

95% will fall between + or - 2 standard deviation of the mean.

Lower limit = - 2(3) = - 6

Upper limit = 2(3) = 6

(-6+mean) and (+6+ mean)

(-6 + 70) and (6+70)

64 and 76

8 0

3 years ago

Dexter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his hou

creativ13 [48]

Answer: [0, 396]

Step-by-step explanation:

The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.

0 to 44 written in interval notation is [0,44].

The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.

A(t) = 9t

A = 9(44)

A = 396

With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.

0 to 396 written in interval notation is [0, 396].

4 0

3 years ago