Answer:
Step-by-step explanation:
New coordinate = [old coordinate - dilation center]* scale factor + dilation center
So,
For A(1,1)
![[(1,1)-(-1,4)]*3+(-1,4)\\(2,-3)*3+(-1,4)\\(6,-9)+(-1,4)\\(5,-5)](https://tex.z-dn.net/?f=%5B%281%2C1%29-%28-1%2C4%29%5D%2A3%2B%28-1%2C4%29%5C%5C%282%2C-3%29%2A3%2B%28-1%2C4%29%5C%5C%286%2C-9%29%2B%28-1%2C4%29%5C%5C%285%2C-5%29)
For B(1,4)
![[(1,4)-(-1,4)]*3+(-1,4)\\(2,0)*3+(-1,4)\\(6,0)+(-1,4)\\(5,4)](https://tex.z-dn.net/?f=%5B%281%2C4%29-%28-1%2C4%29%5D%2A3%2B%28-1%2C4%29%5C%5C%282%2C0%29%2A3%2B%28-1%2C4%29%5C%5C%286%2C0%29%2B%28-1%2C4%29%5C%5C%285%2C4%29)
For C(4,4)
![[(4,4)-(-1,4)]*3+(-1,4)\\(5,0)*3+(-1,4)\\(15,0)+(-1,4)\\(14,0)](https://tex.z-dn.net/?f=%5B%284%2C4%29-%28-1%2C4%29%5D%2A3%2B%28-1%2C4%29%5C%5C%285%2C0%29%2A3%2B%28-1%2C4%29%5C%5C%2815%2C0%29%2B%28-1%2C4%29%5C%5C%2814%2C0%29)
Therefore these (5,-5) , (5,4) and (14,0) are the new coordinates of polygon after dilation.
Answer:
44
Step-by-step explanation:
Let x and y be the total number of questions in part 1 and part 2 exams respectively.
For part 1:
Number of correct question = 4/5 of the total number of question in part 1


For part 2:
Number of corrected question = 2/3 of total number of question in part 2


So, the total umbers of the questions on Stephanie's exam
=x+y
=20+24
=44
Hence, the total umbers of the questions on Stephanie's exam was 44.
Answer:
1. The slope of the line is -2
2. The y-intercept is 10
3. The equation in slope-intercept form is y = -2x + 10
Step-by-step explanation:
The slop-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
- The rule of the slope of the line using two points on the line (x1, y1) and (x2, y2) is m =
From the given table
∵ (2, 6) and (3, 4) are two points on the line
∴ x1 = 2 and y1 = 6
∴ x2 = 3 and y2 = 4
→ Substitute them in the rule of the slope above to find it
∵ m =
=
= -2
∴ m = -2
∴ The slope of the line is -2 ⇒ (1)
→ Substitute it in the form of the equation above
∴ y = -2x + b
→ To find b substitute x and y in the equation by the coordinates of
any point in the table
∵ (5, 0) is a point on the table
∴ x = 5 and y = 0
∵ 0 = -2(5) + b
∴ 0 = -10 + b
→ Add 10 to both sides
∵ 0 + 10 = -10 + 10 + b
∴ 10 = b
∴ The y-intercept is 10 ⇒ (2)
→ Substitute the value of b in the equation
∵ y = -2x + 10
∴ The equation in slope-intercept form is y = -2x + 10 ⇒ (3)
I believe that the answers is ABCD=FGHI
5 gallons = 170
10 gallons = 340
15 gallons = 510
20 gallons = 680
25 gallons = 850