The whitish distance across the scale model of the planet Venus is 15 cm. The actual widest distance across Venus is approximate
1 answer:
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Answer:
y = - 3x - 3
Step-by-step explanation:
the equation of a linear function in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (6, -21) ← 2 points from the table
m = =
= - 3
y = - 3x + b ← is the partial equation
To find b substitute any other point from the table into the partial equation
using (2, - 9), then
- 9 = - 6 + b ⇒ b = - 9 + 6 = - 3
y = - 3x - 3 ← linear relationship
Use this property of logarithms:
Your equation transforms into:
Now, you have to apply the definition of a logarithm to express the equation in exponential form:
In case you don't remember, this is the definition of a logarithm:
The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).
Finally, solve the rational equation:
The correct answer is d.
Your equation transforms into:
Now, you have to apply the definition of a logarithm to express the equation in exponential form:
In case you don't remember, this is the definition of a logarithm:
The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).
Finally, solve the rational equation:
The correct answer is d.