Answer:
the equation of the line is 7x + y = 0 .
Step-by-step explanation:
in the standard form of the line that is Ax +By = C we can write it in the form of
By = C - Ax

which is in the form of 
where m is the slope of the line and c is y intercept made by the line.
comparing
and 
we get that
and 
since it is given that slope of the line is -7 therefore m = -7 and c = 0
therefore
and 
therefore C = 0 , A = 7 and B = 1
therefore the equation becomes 7x + y = 0
Answer:
1/4 or 0.25
Step-by-step explanation:
*I'm assuming you're asking about the probability of this happening...
There are 4 different results you can get when flipping a coin twice...
First Flip: heads
Second Flip: tails
First Flip: heads
Second Flip: heads
First Flip: tails
Second Flip: heads
First Flip: tails
Second Flip: tails
only one of these is heads, then tails, so our probability is
1/4, or 0.25
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (3, 1), hence
y = a(x - 3)² + 1
To find a substitute (- 2, - 4) into the equation
- 4 = a(- 2 - 3)² + 1
- 4 = 25a + 1 ( subtract 1 from both sides )
25a = - 5 ( divide both sides by 25 )
a = -
= - 
y = -
(x - 3)² + 1 ← in vertex form
The answer would be 1.0404 because 1.02 multiplied by 1.02 is 1.0404