Answer:
1. reflection across x-axis
2. translation 6 units to the right and 3 units up (x+6,y+3)
Step-by-step explanation:
The trapezoid ABCD has it vertices at points A(-5,2), B(-3,4), C(-2,4) and D(-1,2).
First transformation is the reflection across the x-axis with the rule
(x,y)→(x,-y)
so,
- A(-5,2)→A'(-5,-2)
- B(-3,4)→B'(-3,-4)
- C(-2,4)→C'(-2,-4)
- D(-1,2)→D'(-1,-2)
Second transformation is translation 6 units to the right and 3 units up with the rule
(x,y)→(x+6,y+3)
so,
- A'(-5,-2)→E(1,1)
- B'(-3,-4)→H(3,-1)
- C'(-2,-4)→G(4,-1)
- D'(-1,-2)→F(5,1)
Answer:
4 in
Step-by-step explanation:
bc
area is inside you have to multiply
4 times 1 is 4
Answer:
50
Step-by-step explanation:
Fastest method for calculating 34 is 68 percent of what number. Assume the unknown value is 'Y' 34 = 68% x Y. 34 = 68 / 100 x Y Multiplying both sides by 100 and dividing both sides of the equation by 68 we will arrive at: Y = 3 x 100 / 68. Y = 50%. Answer: 34 is 68 percent of 50
Answer:
x= -120
Step-by-step explanation:
-x/6+6+6=32
- Use -a/b=a/-b= -a/-b to rewrite the fraction.
- -x/-6+6+6=32
- Add the two 6's then you get 12
- -x/-6+12=32
- Multiply both sides with the equation by 6
- -x+72=192
- Move the constant to the right-hand side and change its side
- -x=192+72
- Subtract the numbers, -x=192-72
- -x=120
- Change the signs on both sides of the equation
- You have your answer it is x= -120
There is a positive, linear relationship between the correct and guessed calories. The guessed calories for 5 oz. of spaghetti with tomato sauce and the cream-filled snack cake are unusually high and do not appear to fit the overall pattern displayed for the other foods. The correlation is r = 0.825 . This agrees with the positive association observed in the plot; it is not closer to 1 because of the unusual guessed calories for spaghetti and cake. The fact that the guesses are all higher than the true calorie count does not influence the correlation. The correlation r would not change if every guess were 100 calories higher. The correlation r does not change if a constant is added to all values of a variable because the standardized values would be unchanged. The correlation without these two foods is r = 0.984 . The correlation is closer to 1 because the relationship is much stronger without these two foods.
