Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1
complette the square to get vertex form or y=a(x-h)^2+k
(h,k) is vertex
1. group x terms, so for y=ax^2+bx+c, do y=(ax^2+bx)+c
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2, factor out the leading coefinet (constant in front of the x^2 term), basicallly factor out a
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3. take 1/2 of the linear coefient (number in
front of the x), and square it ,then add negative and positive of it
inside parnthases
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4. complete the squre and expand
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so
y=-1/4x^2+4x-19
group
y=(-1/4x^2+4x)-19
undistribute -1/4
y=-1/4(x^2-16x)-19
take 1/2 of -16 and squer it to get 64 then add neg and pos inside
y=-1/4(x^2-16x+64-64)-19
factorperfect square
y=-1/4((x-8)^2-64)-19
expand
y=-1/4(x-8)^2+16-19
y=-1/4(x-8)^2-3
vertex is (8,-3)
7.75 ➗ 125 = 0.062
Simplify ➡ 31 / 4
31 over 4 ➗ 125
Then, divide ➡31 over 1 by 125
and it should leave you with the answer 0.062
Answer:
The line is ;
4y = -x + 56
or
y = -x/4 + 14
Step-by-step explanation:
Generally, the equation of a straight line is;
y = mx + c
where m represents the slope
so for y = 4x - 6
The slope is 4
If two lines are perpendicular, the product of their slopes is -1
So for the second line, the slope will be -1/4
The equation in the point slope format will be ;
y-12 = -1/4(x-8)
y-12 = -x/4 + 2
Multiply through by 4
4y-48 = -x + 8
4y = -x + 8 + 48
4y = - x + 56
Answer: two
Step-by-step explanation: