Answer: y = -4x + 1 or y = 1 - 4x
Step-by-step explanation:
First, we have to find the slope of the perpendicular. The slope of the line perpendicular to the other is the <u>reciprocal and opposite value</u> of the other line's slope.
This means that the slope perpendicular to y = 1/4x + 2 is -4, or -4/1.
Now we need to find the y-intercept, to do that we will use the equation y = mx + b. m = slope, b = y-intercept.
Plug in the values.
1 = -4(0) + b
Simplify.
1 = 0 + b
1 = b
Our y-intercept is 1.
Now we can form the slope-intercept equation for the line perpendicular to y = 1/4x + 2 that passes through the point (0, 1).
y = -4x + 1
Answer:
Step-by-step explanation:
x=3 x=2. x=1
y=1 *3 y=1 *2. y=1 *1
y=1 y=1. y=1
(3,1). (2,1) (1,1)
‘The others are the same. Probably you can use a calculator too
Answer: Add 9 to both sides to complete the square
Step-by-step explanation:
The formula for the number you need to add to complete the square is (b/2)^2. In this case, b = -6, so:
(b/2)^2 = (-6/2)^2 = (-3)^2 = 9.
(After adding 9 to both sides, you will get x^2 - 6x + 9 = 14 which can be factored to (x - 3)^2 = 14)
Answer:
Step-by-step explanation:
Using I = PRT/100
where P = The principal amount invested = $5500
R = Rate of Interest =5%
T = Time (in years)
I = Interest = $7,739.05 - $5500 = $2239.05
Substituting the above values in the formula
I = PRT/100 becomes
2239.05 = 7,739.05 * 5 * t / 100 -------- Multiply 100 to both sides
2239.05 * 100 = 100 * 7739.05 * 5 * t / 100
223905 = 7739.05 * 5 * t
223905 = 38695.25t
Divide both sides by 38695.25t
223905/38695.25 = t
5.786369 = t
T = 5.79 (approximated)
1 is the answer hope this helps