Answer:
(- 
, - 
) and (3, 3 )
Step-by-step explanation:
Given the 2 equations
x² + y² = 18 → (1)
x - 2y = - 3 → (2)
Rearrange (2) expressing x in terms of y by adding 2y to both sides.
x = 2y - 3 → (3)
Substitute x = 2y - 3 into (1)
(2y - 3)² + y² = 18 ← expand left side and simplify
4y² - 12y + 9 + y² = 18
5y² - 12y + 9 = 18 ( subtract 18 from both sides )
5y² - 12y - 9 = 0 ← in standard form
(5y + 3)(y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
5y + 3 = 0 ⇒ 5y = - 3 ⇒ y = -
y - 3 = 0 ⇒ y = 3
Substitute these values into (3) for corresponding values of x
y = - : x = - 
- 3 = - ⇒ ( - , - )
y = 3 : x = 6 - 3 = 3 ⇒ (3, 3 )
Hi :)
The volume of a sphere is
V = 4/3 (pi) r^3
Supposing "length" as diameter
We can take the radius
2.40/2
1.2 is the radius of the sphere.
Inserting the radius into the formula
V = 4/3 (pi) 1.2^3
The volume is aproximately 7.24cm^3
Answer:
6
Step-by-step explanation:
CD/C′D′ = 1/3
2/C D= 1/3
2 = 1/3 (CD)
6=CD
we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.
<h3>
</h3><h3>What is the scale factor from M to S?</h3>
Suppose we have a figure S. If we apply a stretch of scale factor K to our figure S, we can say that all the dimensions of figure S are multiplied by K.
So, if S represents the length of a bar, then after the stretch we will get a bar of length M, such that:
M = S*K
If that scale factor is 3/2, then we have the case of the problem:
M = (3/2)*S
We can isolate S in the above relation:
(2/3)*M = S
Now we have an equation (similar to the first one) that says that the scale factor from M to S is 2/3.
Then we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.
If you want to learn more about scale factors:
brainly.com/question/25722260
#SPJ1
9514 1404 393
Answer:
E. 16
Step-by-step explanation:
If the order of points on the line is ABCD, the distance between A and D is ...
AB +BC +CD = 5 + 9 + 3 = 17
If the order of points on the line is BADC, the distance between A and D is ...
BC -BA -DC = 9 -5 -3 = 1
Then the difference between the longest and shortest possible distances AD is ...
17 - 1 = 16 . . . . matches choice E
