Answer:
The decimal form of the equation is y = 2.5x + 10
The equivalent fraction form is y = (5/2)x + 10 because 5/2 = 2.5
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Explanation:
We can pick any two columns from the table to form the two points needed.
I'll pick the first two columns
(1, 12.5)
(2, 15)
Then apply the slope formula to those points
m = (y2-y1)/(x2-x1)
m = (15-12.5)/(2-1)
m = (2.5)/(1)
m = 2.5
Now use that slope with either point mentioned to find the y intercept b.
y = mx+b
12.5 = 2.5*1 + b
12.5 = 2.5 + b
12.5 - 2.5 = b
10 = b
b = 10
Or
y = mx+b
15 = 2.5*2+b
15 = 5+b
15-5 = b
10 = b
b = 10
We end up with the same b value.
We found that m = 2.5 is the slope and b = 10 is the y intercept
Therefore we go from y = mx+b to y = 2.5x + 10
This is the same as saying y = (5/2)x + 10 since 2.5 = 5/2
Answer:
230.9 ft
Step-by-step explanation:
The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2
In ∆ABC, BC = AB/√3 ≈ 115.47 ft
In ∆ABD, BD = AB√3 ≈ 346.41 ft
Then the length CD is ...
346.41 ft -115.47 ft = 230.94 ft
The distance CD is about 230.9 ft.
The perimeter of rectangle is 14p-6.
Step-by-step explanation:
Given,
One side of rectangle = 4p-5 inches
Length of other side = 3p+2 inches
Perimeter of rectangle = 2( Length of one side + Length of other side)
The perimeter of rectangle is 14p-6.
Keywords: rectangle, perimeter
Learn more about rectangle at:
#LearnwithBrainly
Answer:
x = - 2
Step-by-step explanation:
Given
- 1.2x + 2.5 = 0.8x + 6.5 ( subtract 0.8x from both sides )
- 2x + 2.5 = 6.5 ( subtract 2.5 from both sides )
- 2x = 4 ( divide both sides by - 2 )
x = - 2
