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Sliva [168]
3 years ago
5

Which value represents a horizontal shift (left and right) in the following function y=a*sin(bx-c)+d

Mathematics
1 answer:
grigory [225]3 years ago
5 0
The value is C because it represents the shift

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ABC is a tangent to the circle below. O is the centre of the circle. Work out the size of angle 0. Give reasoning to justify you
Delvig [45]

Answer:

Θ = 46°

Step-by-step explanation:

the angle between a tangent and a radius at the point of contact is 90° , so

∠ ABO = 90°

since OB = OD ( radii of circle ) then Δ BOD is isosceles and

∠ OBD = ∠ ODB = 22°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ AOB is an exterior angle of the triangle , then

∠ AOB = 22° + 22° = 44°

the sum of the 3 angles in Δ AOB = 180° , then

Θ + 44° + 90° = 180°

Θ + 134° = 180° ( subtract 134° from both sides )

Θ = 46°

6 0
1 year ago
A line segment has endpoints A(4, 8) and B(2, 10). The point M is the midpoint of AB. What is an equation of a line perpendicula
Vera_Pavlovna [14]
I)

The Midpoint M of the line segment AB is found using the Midpoint formula:

M=( \frac{4+2}{2} , \frac{8+10}{2})=(3, 9)

ii)

the slope of the line through A and B is found by the slope formula:

m= \frac{y_1-y_2}{x_2-x_1}= \frac{10-8}{2-4}= \frac{2}{-2}=-1

iii)

the product of the slopes of 2 perpendicular lines is -1, so the slope of the line perpendicular to the line through A and B is -1/(-1)=1

iv) 

the equation of the line with slope 1, which contains point M(3, 9) is found by the slope point form equation of a line:

y-9=1(x-3)

y-9=x-3

y=x+6


Answer: y=x+6

7 0
3 years ago
Which fraction is equal to 60%?
trasher [3.6K]

Answer:

Step-by-step explanation:

60\% =\\\\\frac{60}{100} \\=0.6

4 0
3 years ago
Read 2 more answers
Find the measure of each exterior angle of a regular decagon?
Igoryamba
The measure of exterior all angles of a regular n-agon is 180
now for the decagon which has 10 angles is 180/10=18
5 0
3 years ago
What is the domain of f(x)= 3x/ x-1​
agasfer [191]

Answer:

D : {x ∈ R : x≠1}

Step-by-step explanation:

The domain is what values of x can we put into the function and it still works

We cannot have the denominator equal zero

x-1 ≠0

Add 1 to each side

x-1+1 ≠0+1

x≠1

The domain is all real values of x except x=1

D : {x ∈ R : x≠1}

4 0
3 years ago
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