Write the given equation in slope intercept form x-6y=0
Answers
The equation x - 6y = 0 can be written in slope-intercept form as y = (1/6)x
How to write the equation in slope intercept form
To convert the given equation into slope-intercept form (y = mx + b), we isolate y on one side of the equation.
First, we add 6y to both sides to get x = 6y.
Next, we divide both sides by 6, yielding y = (1/6)x.
The slope (m) iis1/6 which represents the change in y for every unit change in x. The intercept (b) is 0, indicating that the line passes through the origin.
In conclusion, the equation x - 6y = 0 can be written in slope-intercept form as y = (1/6)x. This form allows us to easily identify the slope and y-intercept, providing valuable information about the graph of the line. The slope of 1/6 means the line has a positive slope, and the y-intercept of 0 indicates that the line passes through the origin.
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The length of the altitude of the equilateral triangle is 9 units.
What is trigonometry?
The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Use the sin angle ratio and calculate,
Sine = Opposite / Hypotenuse
sin 60° = a / (6√3) But sin60° = √3/2
√3/2 = a/(6√3)
Cross multiply
2 x a = 6√3 x √3
2a = 6 x √(3 x 3)
2a = 6 x 3
a = 6 x 3/2
a = 3 x 3 = 9
Therefore, the length of the altitude of the equilateral triangle is 9 units.
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Sine = Opposite / Hypotenuse
sin 60° = a / (6√3) But sin60° = √3/2
√3/2 = a/(6√3)
Cross multiply
2*a = 6√3 * √3
2a = 6 * √(3*3)
2a = 6*3
a = 6*3/2
a = 3*3 = 9
Option E.
Hope this helps.
b minus 3/4 = 7/10
Answers
b = 3/4 + 7/10
b = 15/20 + 14/20
b = 29/20
b = 1 and 9/20
add 3/4 to both sides to isolate the b
b = 7/10 + 3/4
b = 28/40 + 30/40
b = 58/40
b = 1 18/40
b = 1 9/20
Answer???
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Answer: 1
Step-by-step explanation:
how?
Answers
Answer:
see explanation
Step-by-step explanation:
using the identity
cos²x = 1 - sin²x
consider the left side
multiply numerator/ denominator by (1 + cosx)
= ← expand numerator
=
= ← cancel sinx on numerator/ denominator
=
= right side , thus proven
Answers
Suppose n the number of vertex.
From a vertex, we can draw n triangles.
sum of angles :(n-2)*180
180n-360=1080
==>180n=(1080+360)
==>n=8
An octogon
Answer:
octagon
Have a nice day
Answers
Congruent means exactly equal in size and shape. Congruent angles have the exact same measure.
Two figures are similar when its corresponding angles have the same exact measure.
the answer is congruent. I just took the quiz and I got it right hope this helps!