Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36
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Answer:
<h2>y - 6 = 2(x - 7)</h2>Step-by-step explanation:
The point-slope of an equation of a line:
m - slope
The formula of a slope:
We have the poinys (-1, -10) and (5, 2). Substitute:
Put the value of the slope and the coordinateso f the point (5, 2), to the equation of a line:
In the question we have y - 6 = ...
Therefore
<em>subtract 4 from both sides</em>
<em>use the distributive property</em>
<em>distributive</em>
Given that ABC is a right triangle.
The length of AC = 10 and AB = 17
We need to determine the m∠B
<u>The measure of ∠B:</u>
The side opposite to ∠B is AC and the hypotenuse of the triangle is AB
The m∠B can be determined using the trigonometric identity,
where and
Substituting, we get;
Substituting the values, we get;
Taking on both sides of the equation, we have;
Rounding off to the nearest tenth, we get;
Hence, the measure of ∠B is 36.0°