Answer:
y - 2 = -2 (x - 7)
Step-by-step explanation:
first you need to find the slope. the slope formula is (y₂ - y₁) / (x₂ - x₁) and if you plug the numbers in [(6,4) as the ₁'s and (7,2) as the ₂'s], you will get (2 - 4) / (7 - 6) which is -2. the point slope form is y - y₁ = m (x - x₁). in your equation, it has half of it done using (7, 2), so we'll use that as the ₁. plug it in, and you get y - 2 = -2 (x - 7)
hope this helps!
Answer: 45,000.
Step-by-step explanation:
The equation of inverse variation is given by:-
, where k is the constant of proportionality.
Given: After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000.
Here,
Then, 
or 
[answer is same in both cases.]
Hence, the constant of proportionality in this inverse variation is 45,000.
Answer:
In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number.
Step-by-step explanation:
To find the reciprocal, divide
1
by the number given.
1
3
6
Simplify.
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Cancel the common factor of
3
and
6
.
Tap for fewer steps...
Factor
3
out of
3
.
1
3
(
1
)
6
Cancel the common factors.
Tap for fewer steps...
Factor
3
out of
6
.
1
3
⋅
1
3
⋅
2
Cancel the common factor.
1
3
⋅
1
3
⋅
2
Rewrite the expression.
1
1
2
Multiply the numerator by the reciprocal of the denominator.
1
⋅
2
Multiply
2
by
1
.
2
Answer:
x-intercept = 9 y-intercept = 5
Step-by-step explanation:
Answer:
The center of the circle is at;
The radius of the circle is;
Explanation:
Given the equation of circle;
we want to re-write it in the form;
where;
Applying Completing the square method;
comparing the derived equation to the general form we have;
Therefore;
The center of the circle is at;
The radius of the circle is;
