Use Pythagorean’s Theorem. a^2 + b^2=c^2.
a^2 + 35^2 = 37^2
a^2 + 1225 = 1369 then subtract 1225 from both sides.
a^2 = 144 then find the square root of both sides
a = 12
Answer:
<em>First option: </em>
Step-by-step explanation:
Given the point-slope equation
, you need to solve for
, because you are looking for the equation of the line in slope-intercept form:

Being
the slope of that line, and
the intersection of the line with the y-axis.
Then:
Apply Distributive property:

Subtract 7 from both sides:

Rewrite the equation:
(The linear function of the First option)
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is
y = 2x - 2
Comparing with the slope intercept form,
Slope, m = 2
This means that the slope of the line that is perpendicular to it is -1/2
The given points are (-3, 5)
To determine c,
We will substitute m = -1/2, y = 5 and x = - 3 into the equation, y = mx + c
It becomes
5 = -1/2 × - 3 + c
5 = - 3/2 + c
c = 5 + 3/2
c = 13/2
The equation becomes
y = -x/2 + 13/2
Answer:
423325235
Step-by-step explanation:
2353232523523253
Answer:
(-7.5, 3.5)
Step-by-step explanation:



