Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively
.
Answer:
<h2>Leg length = 8.5</h2><h2 />
Step-by-step explanation:
let x represent the leg length
if we use the Pythagorean theorem we get:
x² + x² = 12²
then
2x² = 12²
Then
x² = 144/2 = 72
then
x = √(72)
=8,485281374239
To show that they used the same amount of ribbon you could take the 1 yard and divided into different sized equal groups.
1 yard divided by four equals 1/4 yard for each of four ribbons.
1 yard divided by six equals 1/6 yard for each of six ribbons.
You could have ribbons the size of 1/4 our yard and 1/6 yard, but you would have different amounts of each.
Social Security's Old-Age, Survivors, and Disability Insurance (OASDI) tax rate for wages paid in 2018 is set by the state at 6.2 % for employees and employers, each. An individual with wages equal to or larger than $128,400 would contribute $7,960.80 to the OASDI program. Since Elizabeth receives a salary of $72,580 from Picasso paint supplies, a lot lower than <span>$128,400, there will be no deduction. </span>
