Answer:
D.
Step-by-step explanation:
The equation given takes the point-slope form which is, 
. Where,
(a, b) = (x, y) coordinates of a point on the line.
m = slope of the line .
To find which graph has a line equation of 
, look for the points which will give you something almost exactly as the equation if you substitute their values into .
Let's consider option D.
We have a given point (1, 2). a = 1, b = 2.
Substitute these into
We have:
As you can see, this looks almost exactly as
.
If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into to find m:
In graph D, let's take the points (0, -1)
Divide both sides by -1
3 = m
m = 3.
Therefore, option D is the graph of the line .
Answer:
White = 1.67 gallons
Blue = 0.33 gallons
Step-by-step explanation:
White : blue = 3 : 1
Total ratio = 3 + 1
= 4
Gallons = 2
White = 3 /4 × 2
= 6 /4
= 3/2 gallons
Blue = 1 / 4 × 2
= 2/4
= 1/2
If he later decide to dilute the color to a ratio of 5:1
Total ratio = 5 + 1
= 6
Total gallons = 2
White = 5 / 6 × 2
= 10/6
= 5/3 gallons
Or
= 1.67 gallons
Blue = 1 / 6 × 2
= 2 / 6
= 1/3 gallons
Or
= 0.33 gallons
You should do 1.0 divided by 7 and the answer would be 7
Answer:
a) y-intercept = 17; initial design strength percentage
b) slope = 2.8; increase in that percentage each day
c) 29.6 days to 100% design strength
Step-by-step explanation:
a, b) The equation is in the form called "slope-intercept form."
y = mx + b
where the slope is m, and the y-intercept is b.
Your equation has a slope of 2.8 and a y-intercept of 17.
The y-intercept is the percentage of design strength reached 0 days after the concrete is poured. The strength of the concrete when poured is 17% of its design strength.
The slope is the percentage of design strength added each day after the concrete is poured. The concrete increases its strength by 2.8% of its design strength each day after it is poured.
__
c) To find when 100% of design strength is reached, we need to solve for x:
100 = 2.8x +17
83 = 2.8x
83/2.8 = x ≈ 29.6
The concrete will reach 100 percent of its design strength in about 30 days.
You can determine midpoint by
x-midpoint = (x₁ + x₂)/2
y-midpoint = (y₁ + y₂)/2
Given from the question
x-midpoint = -6
x₁ = -7
y-midpoint = 5
y₁ = 8
Asked from the question
(x₂, y₂)
Solution
Find x₂, input the value of x₁ and x-midpoint to the formula
(x₁ + x₂)/2 = x-midpoint
(-7 + x₂)/2 = -6
-7 + x₂ = -6 × 2
-7 + x₂ = -12
x₂ = -12 + 7
x₂ = -5
Find y₂, input the value of y₁ and y-midpoint to the formula
(y₁ + y₂)/2 = 5
(8 + y₂)/2 = 5
8 + y₂ = 5 × 2
8 + y₂ = 10
y₂ = 10 - 8
y₂ = 2
Answer
P₂ = (-5,2)
