Answer:
AB and CD are parallel lines
Step-by-step explanation:
• Parallel lines have equal slopes
• The slopes of perpendicular lines are negative reciprocals
Calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)
m = 
= 
= 2
let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)
m = 
= 
= 2
Since slope of AB and CD are equal then lines are parallel
(x/100-1)(x/100+1)=kx^2-1
(x/100-1)(x/100+1)=(x/100)^2 - 1^2 because it's a difference of squares ( (a-b)(a+b) = a^2-ab+ab-b^2 = a^2 - b^2):
(x/100)^2 - 1^2=kx^2 - 1
(x/100)^2 - 1=kx^2 - 1
(x/100)^2=kx^2
(x^2)/(100^2)=kx^2
1/(100^2)=k
1/10000=k
k=0.0001
Answer:
57 degrees
Step-by-step explanation:
Same side interior angles are supplementary which means they both equal 180 degrees.
Simplifying
f(x) = x2 + 8x + -3
Multiply f * x
fx = x2 + 8x + -3
Reorder the terms:
fx = -3 + 8x + x2
Solving
fx = -3 + 8x + x2
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Divide each side by 'x'.
f = -3x-1 + 8 + x
Simplifying
f = -3x-1 + 8 + x
Reorder the terms:
f = 8 + -3x-1 + x
Answer:
42
Step-by-step explanation:
If we suppose the value is constant,
Divide 30/5 we get 6.
so now we know for every 1 x we get 6 y.
Multiply 6 times 7 = 42.
The value of y = 42 when x = 7.
