Answer:
8y = -6
Step-by-step explanation:
x + 6y -x +2y = 9 +(-15) ➡ 8y = -6
Answer: See attached table
Step-by-step explanation:
+---+---+---+
| 1 | 8 | 2 |
+---+---+---+
| 6 | 4 | 2 |
+---+---+---+
| 5 | 0 | 7 |
+---+---+---+
<u>Proofs:</u>
First row: 1+6+5 = 12
Second row: 8+4+0 = 12
Third row: 2+2+7 = 12
First column: 1+8+2 = 12
Second column: 6+4+2 = 12
Third column: 5+0+7 = 12
Diagonal starting from top left to bottom right: 1+4+7 = 12
Diagonal staring from top right to bottom left: 2+4+5 = 12
Answer: 2 units left and 3 units up
Step-by-step explanation:
<h2><u>Simplification</u></h2>
<h3>Expand and simplify: (-7y - 8) (y - 4)</h3>
To expand an expression, use FOIL method.
<h3><u>F - First</u></h3>
- Multiply the first term in each expression inside the parentheses.
<u>-7y</u> and <u>y</u> are the first terms in <u>each expression</u>.
<u>(-7y)(y) = -7y²</u>
<h3><u>O - Outside </u></h3>
- Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)
<u>-7y</u> is the first term in the <u>first expression</u>
<u>-4</u> is the last term of the <u>second expression</u>
<u>(-7y)(-4) = 28y</u>
<h3><u>I - Inside</u></h3>
- The next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)
<u>-8</u> is the last term in the <u>first expression</u>
<u>y</u> is the first term in the <u>second expression</u>
<u>(-8)(y) = -8y</u>
<h3><u>L - Last</u></h3>
- Last step is to multiply the last term in each expression.
<u>-8</u> is the last term of the <u>first expression</u>
<u>-4</u> is the last term of the <u>second expression</u>
<u>(-8)(-4) = 32</u>
Combine all simplified terms.
- -7y² + 28y - 8y + 32
- -7y + 20y + 32
<u>Answer:</u>
Wxndy~~
You are a kite sailing across the ocean. The table gives your height at different times.
A. How many feet do you move each second?
Answer: From the given table information, we clearly see that after every second the kite moves 2 feet
B. What is your speed? Give the units.
Answer: We know that :


Therefore, the speed of the kite is 2 feet per second
C. Is your velocity positive or negative?
Answer: The velocity is positive, because the height of the kite goes on increasing direction
D. What is your velocity? Give the units.
Answer: Here the velocity of kite is:
feet per second