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:
0.22
Step-by-step explanation:
To get 11/50 converted to decimal, you simply divide 11 by 50.
Answer:
- B: the area of the triangle GHK plus the area of triangle HIK
Step-by-step explanation:
<u>Connect points H and K and you have two triangles:</u>
<u>The answer options:</u>
statement A:
- the area of triangle GHL plus the area of triangle HIJ
- <u>False</u>. This leaves a gap (HJKL)
statement B:
- the area of the triangle GHK plus the area of triangle HIK
- <u>True</u>
statement C:
- the area of the triangle GJK plus the area of triangle ILK
- <u>False</u>. This leaves a gap and overlap.
statement D:
- the area of triangle GHK plus the area of triangle ILK
- <u>False</u>. This leaves a gap and overlap.
Answer:
the answer is 11 quarters and 20 pennies
Step-by-step explanation: because it said 9 more pennies than quarters so 11 x .25 = $1.75 + $0.20 = $2.95
PLZ MARK BRAINLIEST