Hello :
<span>8x²+7x-3+4x-8 = 8x² +(7x+4x) +(- 3 - 8)=8x²+7x - 11</span>
Answer:
The factored equation would be 4x(3y + 7z)
Step-by-step explanation:
In order to find this, look for the greatest common factor and pull it out. Since both have factors of 4 and both have an x, we pull those out. We then divide each term by 4x to get what is left over.
Answer:
Step-by-step explanation:
For problem 10:
1. AE/ED=AC/CB (Since triangle ABC is similar to triangle ADE, we can determine that the ratio of AE to ED is equal to the ratio of AC to CB)
2. AE/ED=(AE+EC)/CB (Rewrite AC as the sum of the lengths forming it; This is sometimes referred to as the Partition Postulate)
3. 9/x=(9+6)/10 (Substitute the given values into this equation)
4. x=6 (Use algebra to solve for x)
For problem 11:
1. AG/AB=AE/AD (Use the same strategy as step one in problem 10, since the rectangles are similar we can create this equation)
2. AG/(AG+GB)=AE/(AE+ED) (Rewrite sides as the some of their parts)
3. 14/(14+7)=18/(18+x) (Substitute given values)
4. x=9 (Solve for x)
lmk if there are mistakes in my explanation, hope this helps :)
Answer: Last option.
Step-by-step explanation:
The total amount of concrete in the ramp (
) will be the sum of the volume of the rectangular prism (
) and the volume of the triangular prism (
)
The formulas are:
Where "l" is the lenght, "w" is the width and "h" is the height.
Where "l" is the lenght, "b" is the base and "h" is the height.
Substituting, we get:
