<u>Steps:</u>I will try to solve your system of equations.
<span><span>y=<span><span>−<span>8x</span></span>+23</span></span>;<span><span><span>−<span>7x</span></span>+<span>2y</span></span>=<span>−23
</span></span></span><span>Step: Solve <span>y=<span><span>−<span>8x</span></span>+23 </span></span>for y: </span><span>Step:
Substitute<span><span>−<span>8x</span></span>+23 </span>for y in <span><span><span><span>−<span>7x</span></span>+<span>2y</span></span>=<span>−23</span></span>:
</span></span><span><span><span>−<span>7x</span></span>+<span>2y</span></span>=<span>−23</span></span><span><span><span>−<span>7x</span></span>+<span>2<span>(<span><span>−<span>8x</span></span>+23</span>)</span></span></span>=<span>−23</span></span><span><span><span><span>−<span>23x</span></span>+46</span>=<span>−23</span></span>(Simplify both sides of the equation)</span><span><span><span><span><span>−<span>23x</span></span>+46</span>+<span>−46</span></span>=<span><span>−23</span>+<span>−46</span></span></span>(Add -46 to both sides)</span><span><span>−<span>23x</span></span>=<span>−69</span></span><span><span><span><span>−<span>23x</span></span><span>−23</span></span>=<span><span>−69</span><span>−23</span></span></span>(Divide both sides by -23)</span><span>x=3</span><span>Step: Substitute 3 for x in <span><span>y=<span><span>−<span>8x</span></span>+23</span></span>:</span></span><span>y=<span><span>−<span>8x</span></span>+23</span></span><span>y=<span><span><span>(<span>−8</span>)</span><span>(3)</span></span>+23</span></span><span><span>y=<span>−1</span></span>(Simplify both sides of the equation)
</span><u>Answer:</u><span><span>y=<span>−<span><span>1<span> and </span></span>x</span></span></span>=<span>3</span></span>
Answer:
4y^2 - 9x^2 = -36
Step-by-step explanation:
x = 2 sec t
y = 3 tan t
x^2 = 4 sec^2 t
y^2 = 9 tan^2 t
Now sec^2t = 1 + tan^2 t so we have:
4(1 + tan^2 t) + 9 tan^2 t = x^2 + y^2
4 + 13 tan^2 t = x^2 + y^2
13 tan^2 t = x^2 + y^2/ - 4
tan^2 t = x^2/13 + y^2/13 - 4/13
But , from the second equation tan t = y/3 so tan^2 t = y^2/9, so:
y^2/9 = x^2/13 + y^2/13 - 4/13
LCM of 9 and 13 is 117 so multiply thru by 117:
13y^2 = 9y^2 + 9x^2- 36
4y^2 - 9x^2 = -36
It would be 5.3% of a number given. But since there isn't, you would have to use X.
Definitions
Independent events= one outcome of an event doesn’t affect the other outcomes
Dependent events= one outcome of an event affects the other outcomes
Examples
Independent= Jack has a standard deck of cards 52 cards( 26 red and 26 black) what is the probability that he picks a red card or a spade?
Dependent= Jack has a standard deck of cards. What is the probability that he picks a red card or a diamond?
Answer:
Step-by-step explanation:
To find the nth term of a geometric sequence, you have the general formula:
where a1 is the first term and r is the common ratio. In order to find the 4th term, we can substitute what we have(n is 4 because we are looking for the fourth term):
135 = 
135 = 
135 = 
Now, we can substitute the first term back in:
