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3 years ago

The points (-4, 3) and (4, r) lie on a line with slope 1/2 Find the missing coordinate r.

Mathematics

1 answer:

melisa1 [442]3 years ago

7 0

Answer:

Step-by-step explanation:

8 units separate -4 and 4

8 divided by 2 (which is the x of slope) is four

Four times 1 (which is y of slope) equals four

3+4 equals seven

(4,7)

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a circular native american dwlelling has a diameter of 24 feet. how much are inside the home? use 3.14 for { } (pi)

Marizza181 [45]

Answer :

$A = 452.16 \: {ft}^{2}$

step-by-step explanation:

From the question,

the diameter:

$d = 24 \: ft$

The radius :

$r = \frac{diameter}{2}= \frac{24}{2}=12 \: ft$

$\pi = 3.14$

Area of a circle is given as

$A = \pi {r}^{2}$

By substitution,

$A = 3.14( {12}^{2} )$

$\implies \: A = 3.14 \times 144$

$\implies \: A = 452.16 \: {ft}^{2}$

Hence the area of the home is

$A = 452.16 \: {ft}^{2}$

8 0

3 years ago

The sum of the angle measures of a polygon with n sides is 18001800. find n.

Contact [7]

Using
(n-2)180 = 18001800
(n-2) = 18001800÷180
n-2 = 100010
n = 100010+2
n= 100012 sides

5 0

3 years ago

A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(

alekssr [168]

Answer:

$\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right)$ or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

$\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1$

Set $f'(x)$ equal to 8/7 and solve for x:

$\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}$

Therefore, $f(x)$ will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into $f(x)$ to get the y-coordinate:

$\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}$

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0

3 years ago

The average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 in

Murrr4er [49]

Answer:

Probability that average height would be shorter than 63 inches = 0.30854 .

Step-by-step explanation:

We are given that the average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 inches.

Also, a random sample of 4 women from this population is taken and their average height is computed.

Let X bar = Average height

The z score probability distribution for average height is given by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)