For this case, we must find the inverse of the following function:
We follow the steps below:
We exchange the variables:
We put the variable y on the left side of the equation:
We apply logarithm properties:
So:
Answer:
Option B
What is an equation of the line that passes through the points (1, -7) and (-4, 8)?
1 answer:
<h2>Answer: y + 7 = -3 (x - 1)</h2>
Step-by-step explanation:
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (- 7 - 8) ÷ ( 1 - (- 4))
= - 15 ÷ 5
= - 3
We can now use the point-slope form to write the equation for this line:
y - y₁ = m(x - x₁) where (x₁ , y₁) = (1, -7)
y - (-7) = -3 ( x - 1)
y + 7 = -3 (x - 1)
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Answer:
I have made it in above picture hope it helps
(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,
Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,
Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,
Simplifying, we get,
Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.
Thus, the measure of ∠CBD is 60°