The mass of the sun is approximately 1.9885×1033 grams.
2 answers:
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First find the slope.
We know these two points are in the line: (0,8) and (6,5)
The slope is -1/2. The y-intercept can be found when x = 0. And we know that the point (0,8) is on the line and x = 0, therefore the y-intercept is 8.
Plugging this into the slope-intercept form which is
y = mx + b, where m is the slope and b is the y-intercept, we get:
y = (-1/2)x + 8
We know these two points are in the line: (0,8) and (6,5)
The slope is -1/2. The y-intercept can be found when x = 0. And we know that the point (0,8) is on the line and x = 0, therefore the y-intercept is 8.
Plugging this into the slope-intercept form which is
y = mx + b, where m is the slope and b is the y-intercept, we get:
y = (-1/2)x + 8
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:
<u>Algebra II</u>
- Imaginary roots: √-1 = i
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = -x² - 6x - 14
<u>Step 2: Set up</u>
- Set equation equal to 0: -x² - 6x - 14 = 0
- Factor out -1: -(x² + 6x + 14) = 0
- Divide both sides by -1: x² + 6x + 14 = 0
<u>Step 3: Define variables</u>
a = 1
b = 6
c = 14
<u>Step 4: Find roots</u>
- Substitute:
- Exponents:
- Multiply:
- Subtract:
- Factor:
- Simplify:
- Factor:
- Divide:
Answer:
The value of the car in very nice condition is $28,500.
Step-by-step explanation:
Consider the provided information.
In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as a car in very nice condition.
The mixed fraction can be written as:
Let x is the value of car in very nice condition.
Hence, the value of the car in very nice condition is $28,500.