Answer <u>(assuming it is allowed to be in point-slope format)</u>:

Step-by-step explanation:
1) First, determine the slope. We know it has to be perpendicular to the given equation,
. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since
is in place of the m in the equation, that must be the slope of the given line.
Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be
.
2) Now, use the point-slope formula,
to write the new equation with the given information. Substitute
,
, and
for real values.
The
represents the slope, so substitute
in its place. The
and
represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for
and 4 for
. This gives the following equation and answer:

Answer:
k=2/3
Step-by-step explanation:
Step 1:
Step 1 in solving the exponential equations is re-writing the base same as other side of the equation
so,

Step 2:
Second step is equating the exponents
The rule used is:

So in this case

So the solution is:
k=2/3 ..
Answer:
No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.
Answer:
∠ 5 = 49°, ∠ 6 = 131°
Step-by-step explanation:
∠ 5 and 49° are corresponding angles and are congruent, then
∠ 5 = 49°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is
∠ 6 + ∠ 5 = 180°
∠ 6 + 49° = 180° ( subtract 49° from both sides )
∠ 6 = 131°
Answer:
3x + 2
Step-by-step explanation:
This is the answer because if you distribute 3 to x-1, it would be 3x - 3, and if you add 5, you would get 3x + 2