Answer:
$14000
Step-by-step explanation:
Given that :
Commission 5% of sale price
Sale price of house = $280,000
Commission = 5% of $280,000
Hence,
Commission = 0.05 * $280,000
Commission = $14,000
All the possible common denominator for 2/3 and 3/4 are 1,3,4 and 12
Hey there! :)
Perpendicular to y = -3x + 5 ; passes through (2, 6).
Our slope is -3. We know this because it is in the "m" position from slope-intercept form. However, since our equation we're looking for is perpendicular to our given one, we must find the negative reciprocal of -3.
A negative reciprocal is simply a number that is flipped and either given a negative or gets a negative removed.
So the negative reciprocal of -3 is 1/3. This means that our new slope is 1/3.
Now, using point-slope form ( y-y₁=m(x-x₁) ), our new slope (1/3) & (2, 6) , let's find our new equation!
y-y₁=m(x-x₁) y - (6) = 1/3(x - 2)
Simplify.
y - 6 = 1/3x - 2/3
~Hope I helped!~
Given:
JK is tangent to a circle with center H
To find:
The length of HK.
Solution:
The image is attached below.
JK = 8 mi, HJ = 15 mi
JK is tangent to a circle.
The tangent is always perpendicular to the radius.
Therefore, m∠J = 90°
Using Pythagoras theorem:
HK² = JK² + HJ²
HK² = 8² + 15²
HK² = 64 + 225
HK² = 289
HK² = 17²
Taking square root on both sides.
HK = 17
The length of HK is 17 mi.
Answer:
second option
Step-by-step explanation:
The slopes of perpendicular lines have a product of -1. The slope of this line is 3 from the graph so the slope of our line will be -1/3. We know the slope of the line and a point (F, G) that belongs to the line so we can use point-slope form.
Point-slope form: y - y₁ = m(x - x₁) and we know that m = -1/3 and (x₁, y₁) = (F, G) so the answer is y - G = -1/3(x - F).
