Answer:
log3
Step-by-step explanation:
4.) The dotted line on the trapezoid is one of the lines. As you can see, to the left of the line is a right triangle. The other line should be drawn on the right side of the trapezoid to section off the other triangle. Now there is a rectangle in the middle with dimensions of 8 cm by 6 cm, and two identical triangles on either side. To find their base length, we can subtract 8 from 12 to get 4. These difference represents the sum of the two triangles' bases. Since the triangles are identical, we can divide 4 in half to get a base of 2 cm for each triangle. Therefore the triangles both have dimensions of 2 cm by 6 cm.
To find the area, we can add together the areas of the triangles and rectangle. We use length times width to find the area of a rectangle, and we use one-half base times height to find the area ofo a triangle.
Rectangle: 8*6 = 48 cm^2
Triangle: 0.5*2*6 = 6 cm^2
So the area of the trapezoid is 48 + 6 + 6 = 60 cm^2
The answer is in the photo i provided
Answer:
(-2x - 1) • (x + 3)
Step-by-step explanation:
3.2 Factoring 2x2 + 7x + 3
The first term is, 2x2 its coefficient is 2 .
The middle term is, +7x its coefficient is 7 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant 2 • 3 = 6
Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 7 .
-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 6
2x2 + 1x + 6x + 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x+1)
Add up the last 2 terms, pulling out common factors :
3 • (2x+1)
Step-5 : Add up the four terms of step 4 :
(x+3) • (2x+1)
Which is the desired factorization
