Answer:
y = 2x -33
Step-by-step explanation:
The line segment from the center (6, 4) to the given point (16, -1) is a radius of the circle. It is perpendicular to the tangent. Hence you need to write the equation of a line through point (16, -1) that is perpendicular to the line through that point and (6, 4).
The slope of the radius is ...
... ∆y/∆x = (-1-4)/(16-6) = -5/10 = -1/2
The slope of the tangent is the negative reciprocal of that, so is ...
... m = -1/(-1/2) = 2
In point-slope form, the tangent line through (16, -1) is
... y = m(x -h) +k
... y = 2(x -16) +(-1)
Simplifying, this is ...
... y = 2x -33
Answer:
<em>x = 6 and y = 25 → (6, 25)</em>
Step-by-step explanation:
Substitute y = 4x + 1 to the equation 2x + y = 37:
2x + (4x + 1) = 37
(2x + 4x) + 1 = 37 <em>subtract 1 from both sides</em>
6x = 36 <em>divide both sides by 6</em>
x = 6
Pyt the value of x to the first equation:
y = 4(6) + 1
y = 24 + 1
y = 25
Answer:
No
Step-by-step explanation:
113 is not divisible by 4... if you want an even number.
First multiply 300 by 36 to figure out how much the credit card would be: $10,800. Then multiply 278 by 36 to figure out how much the personal loan is: $10,008. Then subtract $10,008 from $10,800: $10,800-$10,008=$792. She would save $792 :)
If Barry earned
175 dollars.....................................14 hours
?dollars...........................................1 hour
175/14=12.50
Barry gets $12.50 per hour
