Answer:
Step-by-step explanation:
we have
Simplify
Multiply the expression by
Apply difference of squares in the denominator
The distance between the points (x₁,y₁) and (x₂,y₂) is calculated through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
From our given, we have the point (-3,-1) and (1,y). Substituting these to the equation,
5 = sqrt ((-3 - 1)² + (-1 - y)²)
Squaring both sides,
25 = (-3 - 1)² + (-1 - y)²
The values of y from the equation are 2 and -4.
The answers are therefore: (a) <em />(<em>1, 2)</em> and (b) <em>(1, -4)</em>.
1 Subtract 2 from both sides
-3y≤17−2
2 Simplify 17−2 to 15
−3y≤15
3 Divide both sides by -3
y≥−15/3
4 Simplify 15/3 to 5
y≥−5
Answer:
Step-by-step explanation:
<u>Fractions</u>
We are given the expression:
We'll find an equivalent expression that results when simplifying the given fraction.
The numerator is a mixed fraction, which we'll convert into an improper fraction as follows:
Now it follows:
Instead of dividing fraction, we multiply by the reciprocal of the denominator:
Simplifying: