<span>If point P(3,10) is reflected across the line y=1, the coordinates of it's reflection image is (3,-8)
Answer is C.
Hope it helps!
</span>
The resulting equation if Becca isolated x² in the first equation and then substituted it into the second equation is (9-y²) / 25 - y²/36 = 1
<h3>Equation</h3>
x² + y² = 9
x²/25 - y²/36 = 1
From (1)
x² = 9 - y²
substitute x² = 9 - y² into (2)
x²/25 - y²/36 = 1
(9-y²) / 25 - y²/36 = 1
Therefore, the resulting equation is option C; (9-y²) / 25 - y²/36 = 1
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QUESTION 1
The given inequality is

We group like terms to get,

This implies that,
or
.
We simplify the inequality to get,
or
.
We can write this interval notation to get,
.
QUESTION 2
.
We group like terms to get,
.

We split the absolute value sign to get,
or 
This implies that,
or 
or 
or 
We can write this interval notation to get,
.
QUESTION 3
The given inequality is

We split the absolute value sign to obtain,
or 
This simplifies to
and 
and 
and 
and 

We write this in interval form to get,
![[-\frac{10}{3},2]](https://tex.z-dn.net/?f=%5B-%5Cfrac%7B10%7D%7B3%7D%2C2%5D)
QUESTION 4
The given inequality is

We split the absolute value sign to get,
or 
This simplifies to,
or 
This implies that,
or 
or 
or 
We write this in interval notation to get,

Answer:
In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.
Step-by-step explanation: