Answer:
The equation of the Parallel line passes through the point (-1,4) is
y = -5 x -1
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given the equation of the line y = -5 x + 2
Given point (-1 , 4 )
The equation of the parallel line of a given line is 5x + y +k=0 ...(i)
The equation (i) passes through the point (-1,4)
5(-1)+4+k=0
-5 +4 +k =0
-1 + k = 0
k = 1
<em>The equation of the Parallel line passes through the point (-1,4) is </em>
<em> y = -5 x -1</em>
I think the correct answer is B. It is the triangle case SSA that may have one, two, or zero solutions. This case can have either number of solutions but it depends on the sides of the triangle given. Having one solution can be all of the cases except SSS, having 2 solutions can only be applied to SSA.
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
f(x) = 4(x + 6)² + 5
The above expression can be written as: f(x) = ax² + bx + c, by doing the following:
1. Expand (x + 6)²
(x + 6)² = (x + 6)(x + 6)
(x + 6)(x + 6)
x(x + 6) + 6(x +6)
x² + 6x + 6x + 36
x² + 12x + 36
(x + 6)² = x² + 12x + 36
2. Substitute x² + 12x + 36 for (x + 6)² in
f(x) = 4(x + 6)² + 5
This is illustrated below:
f(x) = 4(x + 6)² + 5
(x + 6)² = x² + 12x + 36
f(x) = 4(x² + 12x + 36) + 5
Clear bracket
f(x) = 4x² + 48x + 144 + 5
f(x) = 4x² + 48x + 149
Therefore, the standard of the function:
f(x) = 4(x + 6)² + 5
is
f(x) = 4x² + 48x + 149
Answer:
100.5
Step-by-step explanation: