Answer:
Step-by-step explanation:
3x + 5y = 7
Since that is our original form, let's convert it so that we can find the slope:
5y = -3x + 7
y = -3/5 x + y
To get a perpendicular line, we need the negative reciprocal of the slope. This means that the sign switches and numerator and denominator flip:
m = 5/3
From here, we use the point-slope equation and then convert that into slope-intercept form:
y - y1 = m(x - x1)
y - 6 = 5/3(x - 0)
y - 6 = 5/3x
1748 people are expected to stop at the gift shop out of 2300.
Step-by-step explanation:
Given,
Number of random sampled people = 350
Number of people who stopped at shop = 266
Percentage = 
Percentage = 
Therefore,
76% people would stop at the gift stop.
Number of people = 2300
Expected number = 76% of total
Expected number = 
Expected number = 1748
1748 people are expected to stop at the gift shop out of 2300.
Answer:
The area of ∆DEF = 4.5in²
Step-by-step explanation:
From the above diagram,
∆BAC ~∆DEF
It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides
This means for the above question, that
We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²
The small triangle has a side of 3in
Finding the scale factor k = ratio of the sides of both Triangles
k = 4/3
k² = (4/3)²
k² = 16/9
Hence,
Area of ∆BAC/ Area of ∆DEF = 16/9
8in²/Area of ∆DEF = 16/9
We cross Multiply
8 in² × 9 = Area of ∆DEF × 16
Divide both sides by 16
Area of ∆DEF = 72/16
= 4.5in²
Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²
Answer:
4-(-10)
Step-by-step explanation:
17 less than 6+1 is negative 10 so 4 minus negative 10
