Answer:
-1/8
Step-by-step explanation:
Perpendicular slopes are negative reciprocals
The slope of y=8x+5 is 8, because it is in slope intercept form: y=mx+b form, where m is the slope.
Negative:
8/1--> -8/1
Reciprocal:
Flip the numerator and denominator
-8/1--> -1/8
So, the perpendicular slope of 8 is -1/8
The missing term in the left side of the equation is 7. Therefore:
(6a-7)5a
On the other hand, the missing coefficient in the right side of the equation is 30. Therefore,
30a^2 - 35a
Combining the left and right sides of the equation:
(6a-7)5a = 30a^2-35a
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The rationalized expression in general term is given by: (-8 -4√2) / 3
<h3>What is rationalization?</h3>
Rationalization is a mathematical operation that allows us to determine or eliminate a root of the denominator of a fraction, so that it can be expressed in linear form, either decimal or integer, by the product of a root.
As defined above, we must perform a mathematical operation to eliminate the root of the denominator without altering the value.
(8√2 / 6-3√8 ) Multiply by ( 6+3√8)/( 6+3√8)
(8√2 / 6-3√8 )( 6+3√8)/( 6+3√8)
8√2(6+3√8) / (6-3√8)² Expand the denominator using the FOIL method.
8√2(6+3√8) / (36 - 18√8 + 18√8 - 72)
8√2(6+3√8) / -36
48√2 + 24√2√8 / -36 ::::. √8 = 2√2
48√2 + 96 / -36
-12(4√2 + 8) / 12x3
(-8 -4√2) / 3 is the result.
Learn more about rationalization in:
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Answer:
? =74.0546041
Step-by-step explanation:
Given a right triangle
tan theta = opp/ adj
tan ? = 7/2
Take the inverse tan of each side
tan^-1 (tan ?) = tan ^-1 (7/2)
? =74.0546041