Answer:
y = -2
Step-by-step explanation:
This one is easy. As you may know, a axis of symmetry is the line where everything is the same on both sides of it. For this, you can use trial and error or just look at the points on either side. For y = -1, that will put the line in an awkward spot, crossing through 2 slanted lines instead of corners. For x = -1, this just cuts through the shape straight up and down and does not make the shape look equal on both sides of the line at all. Same goes for x = -2. I should probably mention, when you see a line that is described as "x = 1", it is a vertical line, because the line is constantly staying on the point x = 1, while having an infinite number of y-values. When you see "y = 1", it will be horizontal for the same reason, just flipped.
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Volume = 270 cm³
height = 5 cm
length = ?
width = ?
Formula
Volume of a rectangular prism = height x length x width
- Solve for Area of the base (height x length)
Area of the base = Volume / height
-Substitution
Area of the base = 270 / 5
-Result
Area of the base = 54 m²
2.- Find the prime factors of 54
54 2
27 3
9 3
3 3
1
3.- The possible values of the sidas of the rectangle are:
Combining the prime factor of 54.
Length Width
2 x 3 = 6 and 3 x 3 = 9
or 2 x 3 x 3 = 18 and 3 x 1 = 3
or 3 x 3 x 3 = 27 and 2 x 1 = 2
Answer:
-96
Step-by-step explanation:
This is the right answer.
Answer:
a) 20 units
b) 2 √10 units
c) 2 √17 units
Step-by-step explanation:
The distance formula is;
D = √(y2-y1)^2 + (x2-x1)^2
a) D = √(-7-9)^2 + (-7-5)^2
D = √256 + 144
D = √400
D = 20
b) D = √(10-8)^2 + (9-2)^2
D = √(2)^2 + 6^2
D = √4 + 36)
D = √40
D = 2 √10 units
c) D = √(1 + 7)^2 + (-8+10)^2
D = √(64 + 4)
D = √68
D = 2 √17 units
