Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
The formula is (2)(n-4) = n-1/4
Mult both sides by 4:
8n - 32 = 4n -1, or 4n = 31, or n=31/4.
If this is not what you expected, please ensure that you have copied down the original problem correctly. What do you mean by "1/4 less?"
Let's try (2)(n-4) = 1n-(1/4)n = (3/4)n. Then,
2n-8 = (3/4)n, or (5/4)n = 8. Mult. both sides by (4/5), we get:
n = (5/4)(8) = 10. Is that what you were hoping for?
Answer:
|3-8|-(12/3+1)2
=|-5|-(4+1)2
=5-5x2
=5-10
=-5
You said simplify, but it can be solve.
Step-by-step explanation:
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
The expression of the inequality word problems for each question is; As expressed below
<h3>How to express inequalities?</h3>
A) x is negative. This can be expressed as;
x < 0
B) y is non-negative. This can be expressed as;
y > 0
C) q is less than or equal to is expressed as; q ≤
D) d is between 2 and 1 is expressed as 1 < d < 2
E) t is not less than 5 is t ≥ 5
F) The negative of z is not greater than 3 is expressed as;
−z ≤ 3
G) The quotient of p and q is at most 6 is expressed as; p/q ≤ 6
H) The reciprocal of w is at least 9 is 1/w ≥ 9.
Read more about Inequalities at; brainly.com/question/24372553
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