Answer: (a,a)
Step-by-step explanation:
Given: A right isosceles triangle which is placed on the coordinate plane such that one of the legs of the triangle lies along the x-axis and the other leg is parallel to the y-axis.
From the given figure one vertex is on origin(0,0) and second on x -axis as (a,0) .ii.e. one side of the triangle is on the x axis with length 'a' and the side parallel to the y axis should perpendicular to the x axis with length 'a'.(∵ two sides are equal in a right isosceles triangle)
So the coordinates should she assign to the third vertex of the right isosceles triangle is (a,a).[as the point lie above the point (a,0), so its x abscissa should be same]
Answer: A. Approximately 0.017 pounds
Step-by-step explanation:
Formula to find the margin of error :
, where z* = critical value for confidence interval , s= standard deviation , n= sample size.
As per given , we have
s= 0.15 pound
n= 300
Critical value for 95% confidence = 1.96
Then, Margin of error for 9%% confidence interval will be :

Hence, they can expect a margin error of 0.017 pound (approximately.)
Thus , the correct answer is A. Approximately 0.017 pounds
Answer:
y = -1/7x - 23/7
Step-by-step explanation:
Step 1: Find slope <em>m</em>
m = (-4 + 3)/(5 + 2)
m = -1/7
y = -1/7x + b
Step 2: Find <em>b</em>
-3 = -1/7(-2) + b
-3 = 2/7 + b
b = -23/7
Step 3: Rewrite equation
y = -1/7x - 23/7
M = -2/3, B(2, -5), x₁ = 2, y₁ = -5
y - y₁ = m(x - <span>x₁)
</span>y - -5 = -(2/3)(x - 2<span>)
</span>
3(y + 5) = -2(x - 2)
3y + 15 = -2x + 4
3y + 2x = 4 - 15
3y + 2x = -11