Answer: (x^2)/16 + (y^2)/25 = 1
Step-by-step explanation:
According to the problem we can figure out that the center of the ellipse is (0,0).
Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.
If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2
We get b^2 is 16
Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.
Miles. Hours
1/2 = 1/3
1 = 2/3
1 1/2 = 3/3 or 1
= 1
Answer:
Step-by-step explanation:
Formula: Simple interest = PRT
P= 5000
R= 9%
T= 17
So, 5000 x 9/100 x 17 = 7650
The answer is: " 32a² − 24a − 8 " .
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Given:
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(8a − 8)(4a + 1) ; Let us expand this expression using the: "FOIL" method.
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"FOIL" stands for "<u>F</u>irst terms, <u>O</u>uter terms, <u> I</u>nner Terms, <u>L</u>ast Terms" ;
in that order.
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Basically:
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(a + b)(c + d) = ac + ad + bc + bd ;
in which the:
<u>F</u>irst term is: "ac" ;
<u>O</u>uter term is: "ad" ;
<u>I </u>nner term is: "bc" ;
<u>L</u>ast term is: "bd " .
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So; we have (given):
(8a − 8)(4a + 1) ;
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Let's take the "<u>F</u>irst, <u>O</u>uter, <u> </u><u>I</u>nner, and <u>L</u>ast terms" ; as follows:
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<u>F</u>: (8a)*(4a) = 32a² ;
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<u>O</u>: (8a)*(1) = 8a ;
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<u>I </u>: (-8)*(4a) = -32a ;
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<u>L</u>: (-8)*(1) = -8
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Now, let us write out these terms:
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32a² + 8a − 32a - 8 ;
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Now, combine the "like terms" in this expression; to simplify:
+ 8a − 32a = -24a ;
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and rewrite the simplified expression ; which is:
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32a² − 24a − 8 .
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Solution:
The given statement is :Two supplementary angles are congruent.
Two angles are said to be supplementary if sum of these two angles is 180°.
Let one Angle be A, then another angle will be 180 - A.
As given:
A≅180-A
A=180 -A
A +A= 180
2 A = 180
Dividing both sides by 2, we get
A= 90°
The Measure of each angle will be of 90°.
i.e , d = 90°