B. m∠y
A. m∠x = 50°
m∠y = 135°
B. m∠x = 125°
m∠y = 50°
C. m∠x = 50°
m∠y = 125°
D. m∠x = 135°
m∠y = 50°
Answer:
2.365 unit far away the center are the foci located.
Step-by-step explanation:
Given : If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units.
To find : How far from the center are the foci located?
Solution :
The eccentricity of an ellipse is defined as
Where, e is the eccentricity
c is the distance from center to focus
a is the distance between focus to vertex.
We have given,
Eccentricity of an ellipse is 0.43 i.e. e=0.43
The distance between focus to vertex is the half of the length of its major axis.
i.e.
Substitute in the formula,
Therefore, 2.365 unit far away the center are the foci located.
The rate of change of y is proportional to y. when x=0, y=4 and when x=3, y=10 then the value of y is 12 when x =6.
The two points from the given information are (0, 4) and (3, 10).
Let us find the
=6/3
=2
Now let us find the y intercept to write the equation in slope intercept form.
Consider the point (0, 4) to find y intercept.
Plug in the point values in slope intercept form:
4=2(0)+b
Solve for b:
b=4
The equation in slope intercept form is y=2x+4.
Now let us find the value of y when x=6.
Plug in x as 6 in the equation y=2x+4.
y=2(6)+4
y=12+4
y=16
Hence, the value of y is 16 when x is 6.
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We know x+y=0; so, if x=6 y= -6
1) 76,450,000
7.645 x 10
2) 0.000327
3.27 x 104
3) 34,000
3.4 x 104
4) 116,000,000,000
1.16 x 109
<
5) 0.024
24 x 10-2
6) 2,800
2.8 x 103
7) 100
1 x 103
8) 0.0000099
9.9 x 10-6
9) 900,000
9 x 10-5
10) 0.00633
63.3 x 10-3
Answer:
Step-by-step explanation:
1. 7.645 x 10^7
2. 3.27 x 10^-4
3. 3.4 x 10^4
4. 1.16 x 10^11
5. 2.4 x 10^-2
6. 2.8 x 10^3
8. 9.9 x 10^-6
9. 9 x 10^5
10. 6.33 x 10^-3
7. 1 x 10^2
The listed conversions between standard and scientific notation are mostly correct, with corrections provided for the representations of 900,000 and 100. Scientific notation involves expressing numbers as a decimal between 1 and 10 multiplied by a power of 10.
The conversions between standard notation and scientific notation provided here mostly appear to be correct, however, there are a few errors:
9) 900,000 in scientific notation would be 9 x 105, not 9 x 10-5.
7) 100 in scientific notation would be 1 x 102, not 1 x 103.
Standard notation is a straightforward representation of numbers. Scientific notation, on the other hand, is a method of writing or displaying numbers in terms of a decimal number between 1 and 10, multiplied by a power of 10.
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