Answer:
y = (-5/3)x - 5
Step-by-step explanation:
5x + 3y = =15
slope intercept for is: y = mx + b
3y = -5x=15
divide both sides by 3:
y = (-5/3)x - 5
Area = 1/2 * base * height
= 1/2 * 20 * 6
= 1/2 * 120
= 60 ft^2
Answer:
k = - 
, k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = -
k - 2 = 0 ⇒ k = 2
Answer:
x= 10/13
Step-by-step explanation:
First, we need to put the variable on one side and the constants on another side.
Also a positive and a negative equal a negative. [this is related to +(-8)]
10x+(-8)= -3x+2
+3x +3x
13x-8=2
+8 +8
13x=10
Finally you divide on both sides
13x/13=10/13
x= 10/13
I hope this is right! I tried my best
Answer: The wavelength increases
Step-by-step explanation:
As frequency increases, wavelength decreases. Frequency and wavelength are inversely proportional. This basically means that when the wavelength is increased, the frequency decreases and vice versa.
Hope that this helps! Have a great day!
