Answer:
y = 2x - 7
Step-by-step explanation:
Parallel lines have the same slope, so the line will also have a slope of 2
Plug in the slope and given point into y = mx + b to solve for b:
y = mx + b
3 = 2(5) + b
3 = 10 + b
-7 = b
Then, plug in the slope and b into y = mx + b
y = 2x - 7 is the equation of the line
Answer:

Step-by-step explanation:
![~~~2x^3y-2y\\\\=2y(x^3-1)\\\\=2y(x-1)(x^2+x+1)~~~~~~~~~~;[a^3-b^3 = (a-b)(a^2 +ab+b^2)]](https://tex.z-dn.net/?f=~~~2x%5E3y-2y%5C%5C%5C%5C%3D2y%28x%5E3-1%29%5C%5C%5C%5C%3D2y%28x-1%29%28x%5E2%2Bx%2B1%29~~~~~~~~~~%3B%5Ba%5E3-b%5E3%20%3D%20%28a-b%29%28a%5E2%20%2Bab%2Bb%5E2%29%5D)
Answer:
44.4
Step-by-step explanation:
Sin=opposite/hypotenuse
Sin40=x/69
x=69sin40
x=44.4 rounded from 44.352
Answer:
The Ratios are Proportional
Step-by-step explanation:
Let,
R1 = 48 / 72 ----- (1)
R2 = 6/9 ------ (2)
If we divide right hand side of above equation by 8, we get,

Therefore, it means that, in simplified form, both ratios are same and hence proportional.
R1 : R2 = 6/9 : 6/9
Answer:
The circumference of the CD is approximately 38 cm
Step-by-step explanation:
The circumference of the CD can be seen as the distance around the CD.
The word "circumference" is used to describe the perimeter of circular objects.
To find an approximate value of the circumference of the CD, we will use this formula.
Circumference = π × diameter
let us take π to be = 3.142
∴ circumference = 3.142 × 12 = 37.6991 cm
we can round this up to teh nearest tenth as 38cm