Answer:
(3,-3)
y= -3
x= 3
Step-by-step explanation:
5x+2y=9
2x-3y=15
solve the equation
x=9/5-2/5y
2x-3y=15
substitute the value of x into an equation
2(9/5-2/5y)-3y=15
distribute
18/5-4/5y-3y=15
subtract -4/5 to -3
18/5-19/5y=15
subtract 18/5 from both sides
-19/5=57/5
divide both sides by -19/5
y= -3
substitute the value of y into an equation
x=9/5-2/5(-3)
distribute
x=9/5+6/5
add 9/5 to 6/5
x=3
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(3,-3)
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Answer:
(x - 7)² + (y - 3)² = 5
Step-by-step explanation:
The center (h , k) is the midpoint of two end points of diameter
h = (9 + 5) / 2 = 7
k = (4 + 2) / 2 = 3
Equation of circle: (x - h)² + (y - k)² = r²
r = (√(9 - 5)² + (4 - 2)²) / 2 = √5
Equation: (x - 7)² + (y - 3)² = 5
Answer:
Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules 2 and 7 to simplify. First apply the 4 exponent to both -6 and p. Then add the exponent of the base -6 and p on the outside of the parenthesis.
Answer:
Step-by-step explanation:6 type
5/25=1/5=20%
1-1/5=4/5=80%
Answer:
332.
Step-by-step explanation:
Let the number of decisions made in 1982-1983 be x.
44.6% = 0.446.
This is a decrease, so the number of decisions announced in 2005-2006 is
(1 - 0.446) * x and this = 184.
0.554x = 184
x = 184/0.554
x = 332.
