Answer:
option 1
Step-by-step explanation:
formula:(x-h)^(2)*(y-k)^(2)=r^2
well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2
if you move the circle 2 units up, plug it in you get (-2), so it is
(x+3)^2*(y-2)^(2)=r^2
now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus
(x+3)^2*(y-2)^(2)=9
this is the answer, and the option that has it is answer is option 1
Answer:
In order for it to benefit his father to buy the pass Seth have to attend the movies for 11 times.
Step-by-step explanation:
Given:
Cost of movie pass = $40
Cost per matinees with pass = $1.00
Cost per matinees without pass = $3.50
To Find:
Number of times must Seth attend in order for it to benefit his father to buy the pass = ?
Solution:
Let x be the number of times he wants to visit
To profit his father
The number of visits without pass = the number of visits with passin the cost of $3.50
Then, without pass if he visits for x times then the cost will be = 3.50x
Also with pass, the number of times he can visit the pass = 
then
x = 11.42
x = 11 (approx)
Given that the series is given by:
an=5an-1+2
where:
a1=3
then the other terms of the sequence will be:
a2=5a1+2
a2=5*3+2=17
a3=5a2+2
a3=5(17)+2
a3=87
a4=5a3+2
a4=5(87)+2
a4=437
a5=5a4+2
a5=(5*437+2)
a5=2187
hence the sequence will be:
<span>3, 17, 87, 437, 2187
</span>
Answer: <span>a) {3, 17, 87, 437, 2187}</span>
Answer:
250x + 525y ≤ 7800
no, 15 refrigerators and 8 pianos will not fit on the truck
Step-by-step explanation:
we know that x is the refrigerators and each one is 250 lbs
this can be written as 250x
we know that y is the pianos and each one is 525 lbs
this can be written as 525y
we also know that "no more than" is the same that as less than equal to
so this can be written as ≤
we can also say that the refrigerators and pianos has to be ≤ 7800
so now we have: 250x + 525y ≤ 7800
plug in 15 to x and 8 to y
250(15) + 525(8) ≤ 7800
3750 + 4200 ≤ 7800
7950 ≤ 7800
this statement is not true so no, 15 refrigerators and 8 pianos will not fit on the truck
Answer:
4.25 yards
Step-by-step explanation:
Area of rectangle = Base x Height
or
Height = Area of Rectangle ÷ Base
In this case, Area =38.25 sq yards and Base = 9 yards
Height = 38.25 ÷ 9 = 4.25 yards
