The triangle shown is a right triangle shown by the little square inside of it.
Area of a triangle is 1/2 x height x base
Rotating the shown triangle so the square is at a bottom corner the height is 6 and the base is 6
Area = 1/2 x 6 x 6 = 18 square cm
1. Given that the width of the rectangle is x, and the area of the rectangle may be represented by the equation x^2 + 5x = 300, we can solve this equation for the width (x) as such:
x^2 + 5x = 300
x^2 + 5x - 300 = 0 (Subtract 300 from both sides)
(x - 15)(x + 20) = 0 (Factorise x^2 + 5x - 300)
From this, we get: x = 15 or x = -20
Since the width must be a positive length (ie. more than 0), -20 would be an invalid answer in the given context and thus the width is given by x = 15.
2. If we know that the length is 5 inches more than the width, we simply need to add 5 to the width we found above to obtain the length:
Length = x + 5
Length = 15 + 5 = 20
Thus, the width of the rectangle is 15 inches and the length of the rectangle is 20 inches.
D. Square root of 6. D is the correct answer
Answer:
B
Step-by-step explanation:
Solve the first half of the equation-
-8x+3 >/=27
-3 -3
-8x>/=24
divided by -8 on both sides
x</=-3
Now for the second side:
-13x+5>/= 57
-5 -5
-13x>/=52
divide by -13 in both sides
x</=-4
We now have two equations. The answer would be x</=-3 because -4 is also less than three, so it can be simplified down to -3. I know you might not have needed the explanation since it’s just khan academy, but I figured I’d explain it anyway :)
