Let's use the furthest left point on the triangle to figure out the translation.
Blue triangle = (-5,1)
Black triangle = (-3,-1)
To get from -5 to -3 we moved the triangle 2 units to the right, which means that we added 2.
To get from 1 to -1, we moved the triangle 2 units down, which means we subtracted 2.
Rule: {2, -2}
Hope this helps!
Answer:
The factored area of the rectangle=2(2w-5)
Area of a rectangle=length×width
Step-by-step explanation:
Area of rectangle is 4w - 10 square units
We have to factor the expression
Area of rectangle = 4w - 10
common factor=2
Area of rectangle = 2(2w - 5)
Thus the given expression is factored
Area of a rectangle=length × width
Area of the rectangle=2×(2w-5)
Thus, it is safe to say
The length=2 or (2w-5)
The width=(2w-5) or 2
Answer:
Option C is correct.
The test statistic for this question is -3.13
Step-by-step explanation:
To compute the z-test statistic, the formula is given as
z = (x - μ₀)/σₓ
x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15
μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20
σₓ = standard error of the sample proportion = √[p(1-p)/n]
p = 0.15
n = Sample size = 500
σₓ = √[0.15×0.85/500] = 0.01597
z = (0.15 - 0.20) ÷ 0.01597
z = -3.13
Hope this Helps!!!
The pages would be 166 and 167
