Answer:
2x^3+12x^2+10x-24
Step-by-step explanation:
(2x^2+6x-8)(x+3)
2x^3+6x^2-8x+6x^2+18x-24
2x^3+6x^2+6x^2-8x+18x-24
2x^3+12x^2+10x-24
Answer:
J(2, 5 )
Step-by-step explanation:
Using the section formula
= 
= 
= 
= 2
= 
= 
= 
= 5
Thus J = (2, 5 )
Answer:
oh god i uh-
Step-by-step explanation:
Well first you would subtract 9 from both sides to isolate your variable
so it would look like
1/4y =-81/2
now you divide 1/4 from both sides
so you're left with
y = -34
Answer:
63 cm²
Step-by-step explanation:
The shape is a composite of a rectangle 8 cm high and 6 cm wide, and a triangle 5 cm high and 6 cm wide. The total area will be the sum of the areas of the rectangle and triangle. Each area can be found using the appropriate formula.
__
<h3>rectangle area</h3>
A = LW = (8 cm)(6 cm) = 48 cm²
<h3>triangle area</h3>
A = 1/2bh = 1/2(6 cm)(5 cm) = 15 cm²
<h3>total area</h3>
rectangle area + triangle area = 48 cm² +15 cm² = 63 cm²
The area of the composite shape is 63 cm².
_____
<em>Additional comment</em>
The area formula for a triangle tells you that the area is equivalent to a rectangle of the same width, but half the height. That means the triangle atop the rectangle has an area equal to a rectangle 6 cm wide and 5/2 = 2.5 cm high.
Effectively, the area of the figure is that of a rectangle 8+2.5 = 10.5 cm high and 6 cm wide.
A = LW = (10.5 cm)(6 cm) = 63 cm²
