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 )
Answer:
a: 3 to the power of -2 is 1/9 = 5 1/9
b: 3 to the power of 3 = 27
5+27 = 32
Step-by-step explanation:
Answer:
12 because 12 to the power of two will be 12 x 12 = 144, and 35 x 35 = 1225 which is b and 37 x 37 = 1369 which is c and is the answer so.. 144 + 1225 = 1369. SO 12 would fit!
This equation means that you mustfind the height which in this case is W. ok in order to find w you must do the opposite equation to the output so divide 183 by 212 and the answer is W so W=.9 ( im only in 9th grade so this may or may not be correct)
Answer: The volume of given substance is
.
Step-by-step explanation:
Given: Density = 10.7 
Mass = 23.54 g
Density of a substance is the mass of substance divided by its volume.
Mathematically, 
Substitute the values into above formula to calculate volume as follows.

Thus, we can conclude that the volume of given substance is
.