Answer:
B
Step-by-step explanation:
(x+5)^2
x^2+10x+25
(y+3)^2
y^2+6y+9
then it would be
x^2+10x+34+y^2+6y
subtract 34-36 since ur moving 36 to the left
where u get -2
so ur final equation would be x^2+y^2+10x+6y-2=0
Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;
- <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>7.5x</em><em> </em><em>+</em><em> </em><em>15</em><em> </em>
- <em>4</em><em> </em><em>miles</em><em> </em><em>per</em><em> </em><em>hour</em><em> </em>
Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours
Change in distance, Δd = 11.25 - 6 = 5.25 miles
Assuming a constant speed :
- Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr
<u>Using the general form</u> :
At, x = 1.2 hours ;
Miles left, y = 6 miles
End point decreases by 7.5 mi/hr (-7.5 mi/hr)
Inputting the data into the equation :
6 = - 7.5(1.2) + c
6 = - 9 + c
c = 6 + 9 = 15 miles
<u>The expression in slope intercept form becomes</u> ;
<u>If Raul lives 5 miles closer to the beach</u> ;
<u>Time it will take Luis to get to the beach</u> :
- Time taken = (15 ÷ 7.5) = 2.5 hours
Distance Raul has to cover = 15 - 5 = 10 miles
To reach the beach after 2.5 hours ;
- Speed required = (10 ÷ 2.5) = 4 mi/hr
Therefore, Raul has to ride at 4 miles per hour for the plan to work.
Learn more :brainly.com/question/18405415
Answer:
V = 65.548 cm³
Step-by-step explanation:
We have,
Volume of a ball is 4 cubic inches or 
.
We know that, 1 inch = 2.54 cm
It is required to convert this volume to cubic centimetre or 
.
So, the volume of the ball is 65.548 cm³.
f(x) = 4x + 3
That's one-to-one, a linear function that will give a different f(x) for each different x.
For the inverse let's swap x and y and solve for y
x = 4y + 3
x - 3 = 4y
y = (x- 3)/4
That's the inverse,
Answer: (x- 3)/4, second choice
The domain and range of the inverse is all real numbers. It's two lines; I'll leave the graphing to you.
Answer:
Option c.
No damping
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool.
The function is
f(x) = (√11)*cos(3.7x)
Which can be seen in the picture below
We can notice that f(x) is a cosine with maximum amplitude of (√11). Neither this factor nor the multiplication of x by 3.7 serve as a damping factor since they are constants.
f(x) does not present any dampening
