Hello here is a solution :
<span> the radius of the circle is OA A(5;-12) and O (0;0)
OA= </span><span> square root ((5-0)² + (-12-0)²)
</span> = <span> square root (25+144)
</span> = <span> square root(169)
</span> OA = 13
We know the equation of a line is y=mx+b. We know the slope (m) is -2 and all we need is the intercept (b).
Since we know one point, we can plug in 6 for x and 3 for y (along with -2 for m) in our equation and then solve for b.
3= -2*6 + b
3= -12 + b
15 = b
Since we now know the intercept we can now write our equation:
y= -2x + 15
Answer:
Omar could invite 19 friends.
Step-by-step explanation:
the equation for this word problem would be
5x+30=125
subract 30 from both sides
5x=95
divide both sides by 5
x=19
$55-$35=20
$20 divide by $0.25=80 miles.
therefore denise can drive the car for 1day 80 miles to stay within her budget
2x - 4y = 10
7x - 9y = 12
_________
9x - 5y = 2
