Answer:
Please see attachments for step by step guide and answers.
Answer:
y-7=1/4(x+5)
Step-by-step explanation:
y-3=-4(x+2)
y=-4x-8+3
y=-4x-5
-----------
y-y1=m(x-x1)
y-7=m(x-(-5))
y-7=m(x+5)
perpendicular means negative reciprocal of the slope,
so the slope will be 1/4
y-7=1/4(x+5)
To find the y-intercept, simply set the value of x equal to 0, and solve for y, or f(x).
f(x) = 0^2 - 3(0) - 40
f(x) = -40
<h3>The y-intercept is -40.</h3>
Because this is a 2nd degree polynomial, we cannot find the x-intercepts in one step, and must instead use one of a few different methods.
In this case, we're going to use the quadratic formula:

Plug in the values.
3 +/- √(-3^2 + 160) / 2
3 +/- √169 / 2
3 +/- 13 / 2
(3 + 13) / 2 = 16 / 2 = 8
(3 - 13) = -10 / 2 = -5
<h3>The x intercepts are 8, and -5.</h3>
Answer:
Step-by-step explanation:
y-(-2) = 1/2(x-12)
y+2 = 1/2x - 6
y = 1/2x -8
y = mx +b
Answer:
Obi's age is 18 and Oba's age is 9
Step-by-step explanation:
Let Obi's age be x and Oba's age be y
<u><em>Condition 1:</em></u>
x = 2y -----------(1)
<u><em>Condition 2:</em></u>
(x-4) = 3(y-4)
=> x -4 = 3y-12
=> x - 3y = -9 -----(2)
<u><em>Putting eq (1) in (2)</em></u>
2y - 3y = -9
=> -y = -9
=> y = 9
Now,
x = 2y
=> x = 2(9)
=> x= 18