How would you write the equation ????
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
a = 2, b = 1, c = -3
We need to factor this by finding the product of a and c, then from there find which factors of a * c will either add or subtract to give us b.
a * c = 6 and the factors of 6 and 1 and 6, 2 and 3. Well, 6 - 1 doesn't equal 1 and neither does 6 + 1. So our factors are 3 and 2. In order to combine those to get a 1 (our b), we will subtract 2 from 3 since 3 - 2 = 1. That means that 3 is positive and 2 is negative. Filling in the formula with 3 and 2 in place of 1 looks like this (always remember to put the absolute value of the largest number first):
Group the first 2 terms together and the second 2 term together in order to factor:
and factor out what's common in each set of parenthesis.
Notice that when we factor out a -1 from the second set of parenthesis, we can distribute it back in to get the equation we started with. We know that factoring by grouping "works" if what is inside both sets of parenthesis is exactly the same. Ours are identical: (2x + 3). That is common now, and can be factored out:
That matches your first choice
Answer:
Blue Rectangle: <u>135 mm²</u>
Blue Triangle: <u>45 mm²</u>
<em>Not sure if you need this but the </em>Total Square: <u>225 mm²</u>
Step-by-step explanation:
Area of a rectangle: <u>length x width</u>
Area of a triangle: <u> x base x height</u>
First find the area of the blue rectangle.
Length = 15 mm
Width = 9 mm
Area = 135 mm²
Now find the area of the blue triangle:
Base = 6 mm (because the bottom is 15 total and you subtract the 9)
Height = 15 mm
Area = 45 mm²
Hope it helps!