Answer:
y = 1/5x + 8
Step-by-step explanation:
The first thing you should know is that the slope of a perpendicular line is the opposite reciprocal. So, the slope of line j is 1/5. This is your current equation: y=1/5x + b. Plug in your coordinate to the equation, it should look like this: 9=1/5(5)+ b. 1/5 times 5 equals 1, so this is what it should look like: 9=1 + b. Subtract 1 from both sides to get 8 = b. Go back to your original equation and plug in 8 to b. This is your final equation: y = 1/5x + 8. Hope this helped!
Well, when you factor out this polynomial, you get (x-2)(3x^2-4x-5).
I don't really know how that can help, but I tried. :/
Answer:
x=21° and ∠KMH=96°
Step-by-step explanation:
From the given information that a bike path crosses a road and the given figure, we get
∠GMH=∠KMI=84°(Vertically opposite angles)
⇒4x=84°
⇒x=21°
therefore, the value of ∠GMH=4x=4(21)=84°
Now, ∠KMH+∠KMI=180°( Linear pair)
⇒∠KMH+84°=180°
⇒∠KMH=180-84
⇒∠KMH=96°
Thus, the value of ∠KMH is 96°
Answer:
Equation: 
when n = 4
Step-by-step explanation:
Given
Direct Variation: P ∝ n
When n = 15, P = 150
Required
Determine the equation
Her earnings if she sold 4 necklaces
P ∝ n
Convert variation to equation
When P = 150, n = 15 (Substitute these values in the given equation)
Divide both sides by 15
Substitute k = 10 in
------- Equation that relates P and n
When she sold 4 necklaces, n = 4
Substitute n = 4 in the formula above
Answer:
Step-by-step explanation:
hello :
x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0
(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12
