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
Answer:
Package B, you save 7.50
Step-by-step explanation:
<u>Answer:</u>
○ 
<u>Step-by-step explanation:</u>
Given the equation:
,
to solve for 
, we have to rearrange the equation to make its subject.
⇒ 
[expand brackets]
⇒ 
⇒ 
[add 
to both sides]
⇒ 
⇒ 
[subtract 96 from both sides]
⇒ 
⇒ 
[divide both sides by 20]
⇒ 
Answers:
35 much faster - Shark animal
Step-by-step explanation:
so
- a swordfish is 35 much faster than a killer whale because se have to take the maximum Speed of the killer whale away from the maximum Speed of the swordfish so is: 60-25= 35
- And the animal swims a top Speed of about 0.5 Mile for minute Is the Shark animal because: One hour has 60 minutes and of we do 30:60= 0.5 Miles for minute
i hope I had help you
EXUSE ME FOR MY BAD ENGLISH BUT I AM ITALIAN
Answer:
<h3>
9, 11, 13, 15</h3>
Step-by-step explanation:
{k - some integer}
2k+1 - the first odd integer (the least)
5(2k+1) - five times the least
5(2k+1)+3 -<u> three more than five times the least</u>
2k+1+2 = 2k+3 - the odd integer consecutive to 2k+1
2k+3+2 = 2k+5 - the next odd consecutive integer (third)
2k+5+2 = 2k+7 - the last odd consecutive integer (fourth)
2k+1+2k+3+2k+5+2k+7 - <u>the sum of four odd consecutive integers</u>
2k+1 + 2k+3 + 2k+5 + 2k+7 = 5(2k+1) + 3
8k + 16 = 10k + 5 + 3
- 10k -10k
-2k + 16 = 8
-16 - 16
-2k = -8
÷(-2) ÷(-2)
k = 4
2k+1 = 2•4+1 = 9
2k+3 = 2•4+3 = 11
2k+5 = 2•4+5 = 13
2k+7 = 2•4+7 = 15
Check: 9+11+13+15 = 48; 48-3 = 45; 45:5 = 9 = 2k+1
