In standard form, slope is always the negative of the x coefficient over the y coefficient.
If you dont want to have that memorized, you can use algebra to get the equation of the line into slope-intercept form (y=mx+b)
Set it equal to y
2x - 5y = 6
2x = 5y + 6
2x - 6 = 5y
(2/5)x - 6/5 = y
Now it is in slope intercept form. In slope intercept form, the coefficient multiplying with x is the slope of the line. Therefore, the slope equals 2/5.
The required simplified value of B - A = -6.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Since, line Ax + By = 3 and x + 3y = -5 are parallel than slope of both the line will be same,
m = -1/3 = -A/B
From above
A = B/3 - - - - -(1)
Now line Ax + By = 3 passed through the point (-7, 2). So,
-7A + 2B = 3
from equation 1
-7B/3 + 2B = 3
-B/3 = 3
B = -9
Now put B in equation 1
A = -9 / 3
A = -3
Here,
B - A = -9 + 3 = -6
Thus, the required simplified value of B - A = -6.
Learn more about simplification here: brainly.com/question/12501526
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The answer is equal the lengths change when a shape is dilated but the ratio of it does not
Answer: The area is 510.25 cm². If the circumference of the cap were smaller then the area would be smaller as well
Step-by-step explanation:
First, you must find the radius
<em>80.1 ÷ 3.14 = 25.5</em>
<em>25.5 ÷ 2 = 12.75 <---- radius</em>
Then from that, you find the area
A=πr²
<em>12.75² = 162.5</em>
<em>162.5 × 3.24 = 510.25</em>
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<em>Hope this was helpful!</em>
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Answer:
x=13 degrees
Step-by-step explanation:
Since m is parallel to l, 119= (9x+2)
119=9x+2
Subtract 2
117=9x
Divide by 9
13=x
