Answer:
yes
Step-by-step explanation:
The standard form of a proportional equation is
y = kx ← k is the constant of proportionality
y = 10x ← is in this form and represents proportion.
Answer:
Trees can help stop erosion by managing runoff. Their leaf canopies help reduce erosion caused by falling rain. They also provide surface area where rain water lands and evaporates. Roots take up water and help create conditions in the soil that promote infiltration.
Answer:
y-y₁=m(x-x₁)
Step-by-step explanation:
Answer:
B. 11√2
Step-by-step explanation:
Those marks on the lines mean the side's length is 11. Now to solve x we use the Pythagorean thereom.
11^2+11^2=x^2
x^2=242
x=11√2
Answer:
Length of the boxes are 17 in, 35 in, 17 in.
Step-by-step explanation:
The given question is incomplete: please find the complete question in the attachment.
A). From Box - (1)
Area of the box = 289 in.²
Expression that denotes the area of the box = 36x² - 12x + 1
So, 36x²- 12x + 1 = 289
(6x)² - 2(6)x + (1)² = (17)²
(6x - 1)² = (17)² [ Since (a² - 2ab + b²) = (a - b)²]
Given box is a square having sides = (6x - 1) in.
∵ (6x - 1)² = 17
⇒ 6x = 18
⇒ x =
= 3
Now length of the sides = (6x - 1) = 17 in.
B) Box - (2)
Similarly, 25x²- 50x + 25 = 1225
(25x² - 50x + 25) = (35)²
(5x - 5)² = (35)²
5(x - 1) = 35 ⇒ x = 8
Here length of one side of the box is 5(x - 1) = 5(8 - 1) = 35in.
C). Box - (3)
49x² - 56x + 16 = 289
(7x)² - 2×(7x)(4) + 4²= (17)²
(7x - 4)² = (17)²
Length of each side = (7x - 4) in.
From, (7x - 4)² = (17)²
7x - 4 = 17
⇒ x = ![\frac{21}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B7%7D)
⇒ x = 3
Therefore, length of each side of the box = (7x - 4) = 17 in.