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3 years ago

How do i do this problem?

Mathematics

1 answer:

user100 [1]3 years ago

6 0

Answer:

x = 14.4

Step-by-step explanation:

This is similar triangles where the large one is proportional to the smaller triangle inscribed inside it. Lay the 2 triangles out like so and the 30(hypotenuse) is proportional to 18. You can use the scale factor to find the "x" by doing: 24/1.66666666667(which is the scale factor you get from 30/18). This should give you 14.4.

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Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *

Luda [366]

Answer:

The answer to your question is $\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

Step-by-step explanation:

Data

Foci (-2, 2) (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

2c = 6

c = 6/2

c = 3

3.- Determine a

2a = 10

a = 10/2

a = 5

4.- Determine b using the Pythagorean theorem

a² = b² + c²

-Solve for b

b² = a² - c²

b² = 5² - 3²

b² = 25 - 9

b² = 16

b = 4

5.- Find the center (1, 2) From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

$\frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1$

$\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

3 0

3 years ago

Please Help Me ASAP Will Thank Rate 5 Starts And Mark Brainliest If You Are CORRECT

Ivan

Answer:

The correct option is 4.

Step-by-step explanation:

It is given that figure ABCD is transformed to figure A′B′C′D′.

The vertices of ABCD are A(1,1), B(3,3), C(4,2) and D(4,1).

The vertices of A'B'C'D' are A'(1,-3), B'(3,-1), C'(4,-2) and D'(4,-3).

It is clear that the figure translate 4 units down and the rule of translation is

Translation is a rigid transformation, it means image and preimge are congruent.

Since ABCD is translate 4 units down to make A′B′C′D′, therefore

Congruent part of congruent figures are congruent.

Therefore the correct option is 4.

I Hope It's Helpful :)

4 0

3 years ago

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Type an integer or decimal 0.16(y-5)+0.12y=0.20y-0.9

Over [174]

Answer:

16y

Step-by-step explanation:

4 0

3 years ago

Which of the following line passes through point (-4,5) and is parallel to the line segment whose endpoints are at (-2,-3) and (

NNADVOKAT [17]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

Then, the requested line will have a slope equal to:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5 - (- 3)} {2 - (- 2)} = \frac {5 +3} {2 + 2} = \frac {8} {4} = 2$

Thus, the line is of the form:

$y = 2x + b$

We substitute point $(-4,5)$ and find "b":

$5 = 2 (-4) + b\\5 = -8 + b\\5 + 8 = b\\b = 13$

Finally, the equation is:

$y = 2x + 13$

Answer:

$y = 2x + 13$

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3 years ago

23%<br> What is 23% in decimal form?

bazaltina [42]

Answer:

0.23

Step-by-step explanation:

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3 years ago

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