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Dafna11 [192]
2 years ago
11

5: will give brainliest

Mathematics
1 answer:
Fiesta28 [93]2 years ago
6 0

The focal length of the given ellipse is given as (±6, 0)

<h3>Equation of an ellipse</h3>

An ellipse is defined as a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant or when a cone is cut by an oblique plane which does not intersect the base.

The standard equation of an ellipse is expressed as;

x^2/a^2 + y^2/b^2 = 1

The formula for calculating the focus of the ellipse is given as:

c^2 = b^2 - a^2

Given the equation of an ellipse

(x-7)^2/64 + (y-5)^2/100 = 1

This can also be expressed as:

(x-7)^2/8^2 + (y-5)^2/10^2 = 1

Comparing with the general equation

a = 8 and b = 10

Substitute

c^2 = 10^2 - 8^2

c^2 = 100 - 64

c^2 = 36

c = 6

Hence the focal length of the given ellipse is given as (±6, 0)

Learn more on focus of ellipse here; brainly.com/question/4429071

#SPJ1

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A recipe calls for mixed nuts with 50% peanuts. 1/2 pound of 15% peanuts has already been used. How many pounds of 75% peanuts n
Galina-37 [17]
Now you have
<u />
<u>(.15)0.5 lb peanuts</u>     =     <u>0.075 lb peanuts</u>
0.5 lb  nuts                              0.5 lb nuts

for every pound of 75% mixed nuts you add, you get .75 lb peanuts, how many pounds, x, do you need to add to get the ratio 50 to 100?

<u>0.075 lb peanuts + 0.75x lb peanuts</u><em>       =    <u /></em><u>   50   </u><u>
</u>0.5 lb nuts + x lb nuts                                      100

cross multiply

(0.075 + .75x) 100 = (0.5 + x) 50
7.5 + 75x = 25 + 50x
25x = 17.5
x = 0.7 lb of 75% peanuts

6 0
3 years ago
I need help please. Which graph shows y=⌊x⌋+2?
slavikrds [6]

Answer: Top right graph.

Step-by-step explanation:

The function ⌊x⌋ rounds the value x to the lower whole number.

for example:

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⌊1.923⌋ = 1

⌊2.0⌋ = 2

then, the graph of ⌊x⌋ will be a black dot in the each whole number, and a horizontal segment to the right that ends with a white dot in the next whole number. Right above the white dot, we have another black dot, and it repeats.

if we have ⌊x⌋ + 2, we move te previous graph 2 units upwards, then the correct option is the top right graph.

You can check some points if you like:

f(0) = ⌊0⌋ + 2 = 2

f(0.5) = ⌊0.5⌋ + 2 = 2

f(1) = ⌊1⌋ + 2 = 3

So in x = 0 we have a black dot in y = 2, and in x = 1 we have a white dot in y = 2 and a black dot in y = 3.

5 0
3 years ago
each evening, Marisol spend at least twice as much time reading as she spends doing homework. If Marisol works on her homework f
erica [24]
To get the result we can use knowledge that reading is 2 times longer than HW.
To find this value we just have to multiply 42 times 2 so
40*2=80
Its 1 hour and 20 min - its the result
8 0
3 years ago
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Answer:12:10

Step-by-step explanation:

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Answer:

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