Answer:
a)
b)
c)
Step-by-step explanation:
We are given the following in the question:
1. Equivalent expression

Since all the terms are like terms, we can write,

2. Sum of given expression

3. Standard form of the expression

which is the required standard form of the given expression.
Answer:
1. 169 2. 163 3. 54 4. 221 5. 6 6. 7 7. 11 8. 9
Step-by-step explanation:
Remember the Order of Operations:
Parentheses
Exponents
Multiplication
Division
Addition
Subtract
*But always solve from left to right so there can be times where you either have to do division before multiplication or subtraction before addition
1. 14 + <u>18 ÷ 2 </u>x 18 – 7
14+<u>9 x 18</u>-7
<u>14+162</u>-7
176-7
169
2. <u>15 x 10</u> + 12 ÷ 3 + 9
150+<u>12÷3</u>+9
<u>150+4</u>+9
154+9
163
3. <u>8 x 4</u> + 9 – 9 + 18
<u>36+9</u>-9+18
<u>45-9</u>+18
36+18
54
4. 2 - 1 +<u> 5 x 4 </u>x 11
2-1+<u>20x1</u>1
<u>2-1</u>+220
1+220
221
5. 60 – <u>9 x 8</u> ÷ 8 x 6
60-<u>72÷ 8</u> x 6
60-<u>9x6</u>
60-54
6
6. <u>(10 ÷ 5)</u>3 + 100 – 9 x 11
<u>(2)3</u>+100-9x11
6+100-<u>9x11</u>
<u>6+100</u>-99
106-99
7
7. <u>3 x 8</u> x 2 – 42 + 5
<u>24x2</u>-42+5
<u>48-42</u>+5
6+5
11
8. <u>14 ÷ 2</u> -1 + 3
<u>7-1</u>+3
6+3
9
We can represent the base as z and the height as 2z+6. We are going to use the formula A=1/2*b*h and solve for z
180=1/2*z*(2z+6)
360=2z^2+6z
0=2z^2+6z-360
0=2(z^2+3z-180)
0=(z+15)(z-12)
So z=-15 and 12 but it must be positive so then the base is equal to 12
When we plug this into 2z+6 we get 30 for the height
2(12)+6=30
Hope this helps
Answer:
$2.60
Step-by-step explanation:
Answer:
False.
Step-by-step explanation:
Point (1, -1) is located in Quadrant 4, while point (-1, 1) is in Quadrant 2.
I hope this helps...have a great day! ❤