Answer:
An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:
Step-by-step explanation:
Given the equation
converting the line into the slope-intercept form y = mx+b, where m is the slope
The slope of the line = m = 5
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
Therefore, the slope of new line = – 1/m = -1/5 = -1/5
Using the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting the slope of new line = -1/5 and (-2, 3)
Add 3 to both sides
Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:
Answer:
x⁴ - 8x² + 9
Step-by-step explanation:
The Area of the smallest square is A1 = x . x = x²
The Area of the second square is A2 = ( x² - 3 )(x² - 3)
A2 = x⁴ - 3x² - 3x² + 9
A2 = x⁴ - 6x² + 9
The Area of the Shaded shape is A2 - A1
x⁴ - 6x² + 9 - x²
x⁴ - 8x² + 9
Answer:Length and angle measure
Step-by-step explanation:
The length measure is the distance along the curve (arc) and the angle measure is the angle that the arc makes with the center of the circle.
Answer:
60%
Step-by-step explanation:
To obtain the percentage, express her score as a fraction of the total and multiply by 100%, that is
percentage score = 
× 100% = 60%
Answer:
-0.0714 approx
Step-by-step explanation:
78x − 12 = 316x + 5
Bring all the like terms together
78x -316x = 5 + 12
-238x = 17
∴ x = 17 ÷ -238 = -0.0714 (rounded up to 3 significant figures)
