9514 1404 393
Answer:
2x -3y = -19
Step-by-step explanation:
Taking the differences between the given points, we have ...
(Δx, Δy) = (4, 9) -(-2, 5) = (6, 4)
The equation of the line can be written ...
Δy·x -Δx·y = Δy·(x1) -Δx·(y1) . . . . . for point (x1, y1) on the line
4x -6y = 4(-2) -6(5) = -38
Dividing by 2 gives the standard form equation ...
2x -3y = -19
_____
<em>Additional comment</em>
The original equation 4x-6y=-38 satisfies the requirements of this problem. However, "standard form" requires the numbers in the equation be mutually prime (in addition to the problem requirements). That is, they must have no common factors. Hence, we must remove the common factor of 2 in order to have true "standard form."
Answer:
241,000
Step-by-step explanation:
When multiplying a number with a base of 10 raised to the nth power. Move the decimal point of that number n digits to the right.



Answer:
Step-by-step explanation:
2 |p| = 14
|p| = 7
p=7or p =-7
The measure of the seventh <em>interior</em> angle of the heptagon is 124°. (Correct choice: C)
<h3>What is the measure of the missing interior angle in a heptagon?</h3>
Heptagons are polygons with seven sides, seven vertices, seven <em>interior</em> angles and seven <em>central</em> angles. Herein we know the value of the sum of six interior angles and we need to know the measure of the seventh <em>interior</em> angle. We can determine the measure of the seven interior angles by using the following expression:
θ = (n - 2) · 180°, where n is the number of sides of the polygon. (1)
If we know that n = 7, then sum of the internal angles in the heptagon is:
θ = (7 - 2) · 180°
θ = 900°
And the measure of the final interior angle is found by subtraction:
θ₇ = 900° - 776°
θ₇ = 124°
The measure of the seventh <em>interior</em> angle of the heptagon is 124°. (Correct choice: C)
To learn more on polygons: brainly.com/question/17756657
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