Answer:
Definition. A shape that only has two dimensions (such as width and height) and no thickness. Squares, Circles, Triangles, Hexagon, Rhombus etc are two dimensional objects. Also known as "2D".
Answer:
The length of its side is 30 cm
Step-by-step explanation:
<h3><u>Given</u><u>:</u></h3>
An equilateral triangle with the perimeter of 90cm.
In a Equilateral Triangle all sides are equal
i.e., all 3 sides are equal
Now,
90/3 = 30 cm
Thus, The length of its side is 30 cm
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
-5
Step-by-step explanation:
At first,
f(-1) = 3 x (-1)² + 5 x (-1) -7
= 3 - 5 - 7
= -9
g(f(-1)) = g(-9)
= 2 x (-9) + 13
= -18 + 13
= -5
–2a² + 4ab – 5a – 2b + b²
Solution:
Given data:
–2a(a + b – 5) + 3(–5a + 2b) + b(6a + b – 8)
<u>To solve this expression:</u>
Multiply each number or variable into the bracket.
–2a(a + b – 5) + 3(–5a + 2b) + b(6a + b – 8)
= –2a² – 2ab + 10a – 15a + 6b + 6ab + b² – 8b
Arrange like terms together.
= –2a² – 2ab + 6ab + 10a – 15a + 6b – 8b + b²
= –2a² + 4ab – 5a – 2b + b²
Hence the solution is –2a² + 4ab – 5a – 2b + b².
Answer:
<h2>The graph is translated left 5 units, compressed vertically by a factor of 5, and translated up 3 units.</h2>
Step-by-step explanation:
The initial function is
The transformed function is
Notice that the first function represents a parabola with vertex at (1, -3), and the secong function represents a parabola with vertex at (-4, 0). That means the function was shifted three units up and 5 units to the left. Additionally, the function was compressed by a scale factor of 5, because that's the coffecient of the quadratic term.
Therefore, the right answer is the first choice.
