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sertanlavr [38]
3 years ago
5

H + c = 2.25 h − c = 1.75 What value of h makes the system of equations true?

Mathematics
1 answer:
emmasim [6.3K]3 years ago
5 0
H= 2.00 and c= 0.25
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4. A horizontal ellipse, centered at the origin has a major axis of 10 units and minor axis of 8 units. Write the
s2008m [1.1K]

Answer:

\frac{x^2}{25} +\frac{y^2}{16} =1

Step-by-step explanation:

For ellipses, the length of the major axis is represents as:

Major axis = 2a

where a is called the semi-major axis.

In this case since the major axis is equal to 10 units:

10=2a

solving for the semi-major axis a :

a=10/2\\a=5

and also the minor axis of an ellipse is represented as:

Minor axis = 2b

where b  is called the semi-minor axis.

Since the minor axis has a length of 8 units:

8=2b

solving for b:

b=8/2\\b=4

Now we can use the equation for an ellipse centered at the origin (0,0):

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

and substituting the values for a and b:

\frac{x^2}{5^2} +\frac{y^2}{4^2} =1

and finall we simplify the expression to get the equation of the ellipse:

\frac{x^2}{25} +\frac{y^2}{16} =1

5 0
2 years ago
Help ASAP Please check to see if I have the last part correct. Thanks
7nadin3 [17]
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-5= -4 + b<br> solve for b
Lena [83]

Answer:

-5+4=b

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The next number in this pattern should be A)28
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Find the slope of the line whose equation is 2x – 4y = 10.<br><br> How do I find the slope?
yulyashka [42]
To find the slope, u need to put the equation in y = mx + b form, where m will be ur slope.

2x - 4y = 10 ... subtract 2x from both sides
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y = (-2/-4)x + (-10/4)
y = 1/2x - 5/2

y = mx + b
y = (1/2)x - 5/2
the slope(m) = 1/2
3 0
3 years ago
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