Answer:
232
Step-by-step explanation:
The formula for a triangle is base x height x 1/2
The triangles on the top and bottom have a base and height of 6 and 12 so: 6x12x1/2= 36 There are 2 of them so: 36 + 36 = 72
The triangles on the sides have a base and height of 8 and 14 so: 8x14x1/2=56 There are also 2 of them so: 56 + 56 = 112
The formula for the area of a rectangle is length x width
The length and width of the rectangle is 6 and 8 so: 6 x 8 = 48
Now add up all of the areas: 72 + 112 + 48 = 232
Answer
-17
<u>Explanation</u>
y−5x−3 for x = 2 and y = -4
We solve this question by substituting the values of y and x.
y−5x−3 = -4 - 5(2) - 3
= -4 - 10 -3
= -14 - 3
= -17
Answer:
Part 1
The mistake is Step 2: P + 2·x = 2·y
Part 2
The correct answer is
Step 2 correction: P - 2·x = 2·y
(P - 2·x)/2 = y
Step-by-step explanation:
Part 1
The student's steps are;
Step 1; P = 2·x + 2·y
Step 2: P + 2·x = 2·y
Step 3: P + 2·x/2 = y
The mistake in the work is in Step 2
The mistake is moving 2·x to the left hand side of the equation by adding 2·x to <em>P </em>to get; P + 2·x = 2·y
Part 2
To correct method to move 2·x to the left hand side of the equation, leaving only 2·y on the right hand side is to subtract 2·x from both sides of the equation as follows;
Step 2 correction: P - 2·x = 2·x + 2·y - 2·x = 2·x - 2·x + 2·y = 2·y
∴ P - 2·x = 2·y
(P - 2·x)/2 = y
y = (P - 2·x)/2
