Answer:
Step-by-step explanation:
PART 1:
Possible roots by noticing the coefficient of first term:
x = 1, -1
PART 2:
1 | 1 -1 -4 4
<u> 1 0 -4</u>
1 0 -4 0
The remainder is zero, hence one factor is (x-1)
PART 3:
PART 4:
Answer:
m = 2/3
y-intercept: 2
Explanation:
First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.
This equation should be in the form: Ax + By = C (Standard form)
y = -Ax/B + C/B : y = mx + b (Slope intercept form)
2(6y - 4x) = 24 → 12y - 8x = 24
→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>
<u>8</u>x <u>- 12</u>y = <u>-24</u>
| | |
A B C
Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.
8x - 12y = -24
-8x -8x
(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)
-12y = -8x - 24
×-1 ×-1 ×-1
(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)
12y = 8x + 24
(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)
Triangle=1/2 times base times height
base=32
height=24
the lateral surface area is not including bottom so just the 4 side triangles
4 times 1/2 times base times height
4 times 1/2 times 32 times 24
2 times 32 times 24
1536
lateral surface area is 1536 square centimeters
Answer:
<u>Step 1: Find the x</u>
2x + 5: Solve
3x + 15: Solve
When dealing with decimals, remember the order of places. The first number after the decimal point is the tens place. The second place is the hundredth, and the third is thousandth. Now remember with rounding, if the number proceeding the place is 5 or greater, you round up. Otherwise, you round down.
Now, taking a look at the number, if you want it rounded to a tens place, that's the spot directly after the decimal point. Because the number 5 proceeds the 3 in the tens place, you round up.
The answer is 218.4.
Hope this helps!
