You need to break this into smaller shapes. This shape consists of 4 smaller shapes: 3 triangles and 1 rectangle.
Formulas:
Triangle: A = 1/2 bh
Rectangle: A= bh
Let's start with the triangle on top with the points B, C and D.
Base = 6
Height = 3
A = 1/2 (6)(3)
Multiply base by height
A = 1/2 (18)
Multiply.
A= 9
The triangle on the left:
Base= 4
Height = 4
A= 1/2 (4)(4)
A= 1/2 (16)
A= 8
The triangle on the right:
Base= 2
Height= 4
A= 1/2 (2)(4)
A= 1/2 (8)
A= 4
The rectangle in the middle:
Base= 6
Height=4
A= (6)(4)
A= 24
Now add all the areas together:
9 + 8 + 4 + 24 = 45 cm²
Hope this helps! :)
Original points are:
x = (3, -1); y = (4,-4); z = (1,-2).
A reflection across the line y = 1 (a line parallel to the y-axis) will keep the same x-coordinates and will move the y-coordinate upward as many units above the line y = 1 as units are from the line y = 1 to the y-coordinate of the original point.
Distance of (3,-1) to the line y = 1 is 1 - (-1) = 2 => new y-coordinate = 1 + 2 = 3.
<span>So, the answer is that the ordered pair ox x' is (3,3)</span>
Answer:
{Red,Blue}
Step-by-step explanation:
Since the experiment consists of randomly drawing just a cube from a bag containing three red and two blue cubes, the outcome could be either a red or blue cube. Therefore the sample space is:
{Red,Blue}
The sum of 17 and 3 times x is given by the algebraic expression "17+3x" .
A mathematical construct called an algebraic expression is made up of integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).
Let us take an expression 4x³+6xy+9 is an algebraic expression. Where
x,y are variables 4 and 6 are co-efficients and 9 is the constant .
In the above statement it is given that the sum of 17 and times x. Here x is a variable.
3 times x equates to 3x and when 17 is added we get the expression 17+3x.
Hence the required algebraic expression is 17+3x
To learn more about algebraic expression visit:
brainly.com/question/953809
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