Answer:
D (2, 1)
Step-by-step explanation:
Fir an in-detailed representation, image below
- Started with plotting the given center (yellow)
- From the center: go 5 units up, down, right and left (light blue)
- You will have 5 points plotted now
- connect the light blue dots to form a circle (red, not to scale!)
- Now, locate every choice point, which one is on the red line?
- D!!!!!
Learn more about Circles here: brainly.com/question/10368742
Answer:
A' (11, 4), B' (-10, -6), C' (7, -9)
Step-by-step explanation:
Since you are reflecting over the y-axis, you take the opposite of the x value. So if the x is positive, make it negative. If the x is negative, make it positive. The y coordinate stays the same.
Answer: Only Statement 1 is True.
Step-by-step explanation:
A box is essentially a rectangular prism, which has 8 corners. Tubes, pipes, and cans are cylinders because the corss-section of them are circular and the connection between the bases are parallel.
Collect like terms
(2x-x) + (9+3)
Simplify
x+12
Answer:
24.5 unit²
Step-by-step explanation:
Area of ∆
= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |
= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |
= ½ | -7 - 42 |
= ½ | - 49 |
= ½ (49)
= 24.5 unit²
<u>Method 2:</u>
Let the vertices are A, B and C. Using distance formula:
AB = √(-1-6)² + (3-3)² = 7
BC = √(-6-1)² + (-4-3)² = 7√2
AC = √(-1-(-1))² + (4-(-3))² = 7
Semi-perimeter = (7+7+7√2)/2
= (14+7√2)/2
Using herons formula:
Area = √s(s - a)(s - b)(s - c)
here,
s = semi-perimeter = (14 + 7√2)/2
s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2
s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2
s - c = (14+7√2)/2 - 7 = (7 + √2)/2
Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²
