![ennaturan](/avatars/45191.jpg)
ennaturan
24.10.2020 •
Mathematics
Plz need help I will mark branliest
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Ответ:
see explanation
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
x² + y² = 49 ← is in this form with
r² = 49 ( take square root of both sides )
r =
= 7
Thus A = (7, 0 ) and B = (0, 7 )
To find M use the midpoint formula
M = (
,
) = (3.5, 3.5 )
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m =![\frac{x_{2}-y_{1} }{x_{2}-x_{1} }](/tpl/images/0838/0650/82d1b.png)
with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (3.5, 3.5 )
m =
=
= 1
y = x ← equation of line passing through O and M
Ответ:
Below in bold.
Step-by-step explanation:
(a)
At point A, y = 0 so the coordinates of A are found as follows:
x^2+ 0^2 = 49
x^2 = 49
x = 7 so A is (7, 0).
In a similar way, by putting x = 0 in the equation, we can show that
B = (0, 7).
(b)
M is the midpoint of the line AB so its coordinates are:
(7+ 0)/2, (0 + 7) /2 = (3.5, 3.5).
So the slope of OM which also passes through the origin (0,0) is:
(3.5 - 0) /(3.5 - 0) = 1.
y - y1 = m (x - x1)
y - 3.5 = 1(x - 3.5)
y = x - 3.5 + 3.5
y = x is the required equation.
Ответ:
I took a screen shot hope it helps
Step-by-step explanation: