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blagie [28]
3 years ago
14

The length of the red line segment is 8 and the length of the blue line segment is 4. How long is the major axis of the eclipse?

Mathematics
1 answer:
liraira [26]3 years ago
7 0

The major axis of the eclipse is 12 units long

The given parameters can be represented as:

Red = 8

Blue = 4

See attachment for illustration

To solve this question, we make use of the following theorem

The distance between a point and the foci sums up to the major axis

This translates to:

Major\ axis = Red + Blue

Major\ axis = 8 + 4

Major\ axis = 12

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DIA [1.3K]

How do you create your equations when working on a mixture word problem?

Let's try to think about the general form of a word problem involving mixtures.

In general, we have the following scenario:

a merchant sells two kinds of products (coffee, sweets, etc).

we know the unit prices for both kinds of products and for the final mixture

p

1

US dollars per pound for the first kind of product,

p

2

US dollars per pound for the second kind of product

p

m

US dollars per pound for the mixture

we know the total quantity formed by the mixture of the two products (

q

pounds)

we have to find out the quantities of each product needed to form the mixture

(here we have the variables:

x

denoting the quantity of the first kind of product and

y

denoting the quantity of the second kind of product)

Now, we have sufficient information to work out the equations.

First, we know that the sum of the two quantities is

q

pounds, which gives us the first equation:

x

+

y

=

q

Second, we know that the sale price is the product of quantity and unit price, which gives us the second equation:

p

1

x

+

p

2

y

=

p

m

⋅

q

Now, we have a system of two linear equations that can be easily solved by substitution.

3 0
2 years ago
Please help me out with this equation! <br> i will mark you as brainliest
BigorU [14]
<h3>Answer:  -19, -15, -9, -1, 9   (choice A)</h3>

===================================================

Explanation:

If we plug in x = -2, then we get,

y = x^2 + 7x - 9

y = (-2)^2 + 7(-2) - 9

y = 4 - 14 - 9

y = -10 - 9

y = -19

So x = -2 leads to y = -19. The answer is between A and D.

---------

If you repeat those steps for x = -1, then you should get y = -15

Then x = 0 leads to y = -9

x = 1 leads to y = -1

Finally, x = 2 leads to y = 9

The outputs we get are: -19, -15, -9, -1, 9 which is choice A

Choice D is fairly close, but we won't have a second copy of -15, and  we don't have an output of -19.

7 0
3 years ago
Read 2 more answers
Can someone help me please
UNO [17]

The interior angles are 3, 4, and 6. Angle 3 is adjacent to angle 1, so is not remote.

The remote interior angles to angle 1 are

... A. angle 4

... E. angle 6

5 0
3 years ago
Which fractions equal to0.20%
alukav5142 [94]

Answer:

2/10

Step-by-step explanation:

0.20 = 20/100

20/100 = 2/10

6 0
3 years ago
Read 2 more answers
The equation P= 21 + 2w models the perimeter, P, of a rectangle with a length of / units and a width of w units.
natima [27]

Answer:

width = 10 units and length = 20 units

Step-by-step explanation:

Let the width be w

so Length will be 2w

using the rectangle formula:

\sf Perimeter \ of \ rectangle= 2L + 2W

\sf 60= 2(2w) + 2w

\sf 60= 4w + 2w

\sf 60= 6w

\sf w = 10 \ units

Find length:

\sf length = 2w

\sf length = 2(10)

\sf length = 20 \ units

5 0
2 years ago
Read 2 more answers
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