Answer:
4
Step-by-step explanation:
to solve | a | - | b | + | c | we need to plug in the given values
a = -8
b = -5
c = 1
the | | bars mean absolute value which is the exact value a number is away from 0 on a number line. an absolute value has to be positive, not a negative, as you cant be negative spaces away from something. plugging in the values into the equation we have:
| -8 | - | -5 | + | 1 |
the absolute value of -8 is 8, as -8 is 8 units away from 0 on a number line
like wise with -5, the absolute value of -5 is 5, as -5 is 5 units away from 0 on a number line
1 is the absolute value of 1 as its 1 unit away from 0 on a number line
the new expression looks like the following:
8 - 5 + 1
now we just add/subtract
8 -5 = 3
3 + 1 = 4
the solution to this expression is 4
Answer:
A
Step-by-step explanation:
(2x-3)=4x, x=-3/2 which isn't possible as x>3/2
-(2x-3)=4x, x=1/2.
Hence the answer is x=1/2
Answer:
Sphere Volume = (4/3) * PI * radius^3
Sphere Volume = (4/3) * PI * radius^3
11,488 = ((4/3) * 3.14) * radius^3
radius^3 = 11,488 / 4.1866666667
radius^3 = 2,743.9490445641
radius = 14 cm
diameter = 28 cm
Step-by-step explanation:
Answer:
y = -1/3x + 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Perpendicular lines have the negative reciprocal slope of the original.
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
y = 3x - 11
Point (-6, 4)
<u>Step 2: Find slope </u><em><u>m</u></em>
Negative Reciprocal of 3 = -1/3
<u>Step 3: Define</u>
y = -1/3x + b
<u>Step 4: Find y-intercept </u><u><em>b</em></u>
- Substitute in point: 4 = -1/3(-6) + b
- Multiply: 4 = 2 + b
- Subtract 2 on both sides: 2 = b
- Rewrite: b = 2
<u>Step 5: Write perpendicular linear equation</u>
y = -1/3x + 2