Y+4<u><</u>9
subtract 4
y<u><</u>5
y is smaller than and equal to 5
so you shade from 5 to the negative end to infinity (to the left) and shade the 5 to show that it is included (attachment says A)
6 less than (-6) 2 times a number (2 time x) is greater than (>) 8 (8)
-6+2x>8
add 6
2x>14
divide 2
x>7
so
x is bigger than 7
shade from 7 to the positive end to infinity (to the right) and don't shade 7 but put a circle around it to show that it is not included (attachment says B )
I have included pictures of the number lines
Answer:
The area is 16.62
Step-by-step explanation:
The expression you use is pi x r squared. which is 3.14 x 2.3 x 2
Consecutive integers are integers that follow one another. For example, 2,3,4,5,etc.... are consecutive integers
So algebraically, consecutive integers follow the form x, x+1, x+2, etc...
Since the sum of two consecutive integers is 239, this means:
x%2Bx%2B1=239
2x%2B1=239 Combine like terms on the left side
2x=239-1Subtract 1 from both sides
2x=238 Combine like terms on the right side
x=%28238%29%2F%282%29 Divide both sides by 2 to isolate x
x=119 Divide
So our first number is x=119
So to find the next number, simply add 1 to it to get 119%2B1=120
Answer: So our two page numbers are 119 and 120
Answer:
75
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Geometry</u>
- Sum of Angles in a Quadrilateral: 360
Step-by-step explanation:
<u>Step 1: Set up</u>
75 + 120 + 90 + ∠4 = 360
<u>Step 2: Solve</u>
- Add: 285 + ∠4 = 360
- [Subtraction Property of Equality] Subtract 285 on both sides: ∠4 = 75
When x=-5, y=(1/5)*(-5)-1=-2, so the first order pair is (-5,-2)
when y=-1, -1=(1/5)x-1, (1/5)x=0, x=0, so the second ordered pair is (0, -1)