Answer:
y - 3 = ⁵/₂(x - 2) {the point-slope form of the equation}
y = ⁵/₂x - 2 {the slope-intercept form of the equation}
5x - 2y = 4 {the standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = ⁵/₂
(2, 3) ⇒ x₀ = 2, y₀ = 3
So, the point-slope form of the equation:
y - 3 = ⁵/₂(x - 2)
Therefore:
y - 3 = ⁵/₂x - 5 {add 3 to both sides}
y = ⁵/₂x - 2 ← the slope-intercept form of the equation
-⁵/₂x + y = - 2 {multiply both sides by (-2)}
5x - 2y = 4 ← the standard form of the equation
Answer:
w = 5.2
Step-by-step explanation:
4(2.25w + 3.1) - 2.75w = 44.9
9w + 12.4 - 2.75w = 44.9
6.25w + 12.4 = 44.9
6.25w = 32.5
w = 5.2
Answer:
There are 240 lilies in the flower shop.
Step-by-step explanation:
The ratio of number of roses to number of lilies = 3:5
Let the number of roses be represented by x, and the number of lilies be represented by y.
Given that:
of x and
of y are white.
Thus;
of x = 24
= 24
x = 6 x 24
= 144
There are 144 roses in the shop.
The ratio of number of roses to number of lilies = 3:5
So that,
= 48
y = 48 x 5 = 240
The number of lilies in the shop = 240
The ratio of number of roses to number of lilies = 144:240
= 3:5
Answer and explanation:
1. -6(x - 4) = 24 <-- the given is the equation that you start off with
2.(A)
<-- it's the only number answer left. (B) Division Property of Equality <-- division is being involved
4. Addition Property of Equality <-- you're adding 4 to both sides