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harkovskaia [24]

3 years ago

9

An ellipse is represented using the equation (x+5)^2/625+(y-7)^2/49= 1. Where are the foci of the ellipse located? Check all tha

t apply

1 answer:

erastova [34]3 years ago

8 0

Answer: (-29,7) and(19,7)

Step-by-step explanation:

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Which points are a solution to the equation y = 5x - 4?

denis-greek [22]

Answer:

The answer are

(0,_4)

(2,6)

(3,11)

4 0

3 years ago

Find the area of the regular polygon

Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

$p = s * n$

$p = 12 * 6$

$p = 72$

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

$a = \frac{s}{2 * tan (\frac{180}{n} )}$

$a = \frac{12}{2 * tan (\frac{180}{6} )}$

$a = \frac{12}{2 * \frac{\sqrt{3} }{3}}$

$a = \frac{12}{\frac{2\sqrt{3} }{3}}$

$a = \frac{12*3}{2\sqrt{3}}$

$a = \frac{6*3}{\sqrt{3}}$

$a = \frac{18}{\sqrt{3}}$

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

$A = \frac{a * p}{2}$

$A = \frac{\frac{18}{\sqrt{3} } * 72}{2}$

$A = \frac{18}{\sqrt{3}} * 36$

$A = \frac{640}{\sqrt{3}}$

Turning into a decimal:

$A = 374.123 ft ^2$

8 0

3 years ago

A grid shows the positions of a subway stop and your house. The subway stop is located at (7,-4) and your house is located at (-

Anna007 [38]

Image a right triangle with two points at these two locations and the hypothenuse as the distance between them.
Find the length straight down from the first point to the second: 10 units
Find the length to the right from the first point to the second: 10 units
Use the Pythagorean theorem: a^2 + b^2 = c^2
10^2 + 10^2 = 200
√200 = 10√2 = 14.14 units

8 0

3 years ago

The scores on an achievement test are normaly distributed with mean µ = 100 and standard deviation σ = 100. What should the scor

ser-zykov [4K]

Answer:

the student should score atleast 229 to be among the top 10%.

Step-by-step explanation:

in terms of the normal distribution, and if the table that you're using calculates the area of the normal distribution from the mean to a point x, only then what we are actually finding the value 'x' at which the z-score is at 40% (the rest 50% is already skipped by the table)

$P(0.4) = \dfrac{x - \mu}{\sigma}$

after finding the the value at this z-score, we can find the value of x at which the score is in the top 10% range.

we can find the z-score either using a normal distribution table or calculator. (but be sure what area is it calculating)

looking at the table the closest value we can find is, 0.4015 at z = 1.29 ((it is above 40% because we want to be in the top 10% range)

$P(0.4015) = \dfrac{x - 100}{100}$

$1.29 = \dfrac{x - 100}{100}$

$x = 1.29(100) + 100$

$x = 229$

the student should score atleast 229 to be among the top 10%.

7 0

3 years ago

The graph shown is for the inequality y ≥ x. The graph has one thing wrong. What is it?

Reika [66]

Flip the x and y like in the coordinate plane x,y not y,x

5 0

3 years ago