Step-by-step explanation:
Given.
Take the second equation and subtract 2y to both sides.
Substitute x into the first equation and simplify.
Invert.
Substitute Y into your second equation.
Add -6 to both sides.
Answer:
(6, -3)
Answer:
$60.9
Step-by-step explanation:
Tax = 2.9% of Cost to be bought
= 2.9 / 100 × 2100
= $60.9
Answer:
Sabrina bought 6 yellow bananas and 3 green bananas
Step-by-step explanation:
Let
Green bananas = x
Yellow bananas = y
Green bananas = $14.00
Yellow bananas = $12.00
Total cost = $114.00
x + y = 9 (1)
14x + 12y = 114 (2)
From (1)
x = 9 - y
Substitute x = 9 - y into (2)
14(9 - y) + 12y = 114
126 - 14y + 12y = 114
- 14y + 12y = 114 - 126
-2y = -12
Divide both sides by -2
y = -12 / -2
= 6
y = 6
Substitute y = 6 into (1)
x + y = 9
x + 6 = 9
x = 9 - 6
= 3
x = 3
Sabrina bought 6 yellow bananas and 3 green bananas
Answer:
Step-by-step explanation:
To write an equation for a circle, we need to find the center and the radius. We need to find the distance between the two endpoints to find the radius. To do that, use the distance formula:
d = √(2 - 5)² + (1 + 3)²
√(-3)² + (4)²
√9 + 16 = √25 = 5
If the diameter is 5, the radius is 2.5
Now we need to find the center/midpoint. Use the midpoint formula:
(5 + 2)/2, (-3 + 1)/2
7/2, -2/2
(3.5, -1)
Now that we have the center and the radius, we can make our equation. Remember that the equation of a circle is: (x - x of center)² + (y - y of center) = radius²
(x - 3.5)² + (y + 1)² = 6.25
Hope this helps
The vertical angles have equal measures.
Therefore, if ∠ a and ∠b are vertical angles, then m∠a = m∠b.
Answer: m∠b = 115°
