Given triangle ABC with coordinates A(−2, 7), B(−2, 4), and C(−4, 3), and its image A′B′C′ with A′(2, 3), B′(−1, 3), and C′(−2,
Setler [38]
Answer:
y = x + 5
Step-by-step explanation:
given an obtuse scalene triangle (∆ABC) with vertices A(-2,7), B(-2,4), and C(-4,3) (representing the preimage of the reflection). And congruent triangle (∆A'B'C') with vertices A'(2,3), B'(-1,3), and C'(-2,1) (representing the image of the reflection / triangle after the reflection).
The easiest way to look at this is by taking the inverse of each point on the preimage (swapping y and x coordinates) and the adding 5 to the y and subtracting 5 from the x to get the image.
You can test this, and you will see that this will match with vertices of the image.
Answer:
Width = 110 ft
Step-by-step explanation:
width = x
length = x + 300
To find the width, we use the formula for perimeter, substituting 1040 for perimeter, x + 300 for length, and x for width:
![P=2(l+w)\\\\1040=2[(x+300)+x]](https://tex.z-dn.net/?f=P%3D2%28l%2Bw%29%5C%5C%5C%5C1040%3D2%5B%28x%2B300%29%2Bx%5D)
Combine like terms inside the brackets:
Distribute the 2 within the parentheses:
Subtract 600 from both sides:
Divide both sides by 4:
Therefore, the width is 110 ft and the length is 410 ft. To verify, we can check that the perimeter equals 1,040 ft.
Answer:
vertex is (-2,-98)
zeros are (5,0) (-9,0)
y-intercept is (0,-90)
Step-by-step explanation:
we are given
Vertex:
we can use vertex formula
we can compare and find a,b and c
a=2 , b=8 and c=-90
so, we can plug it in formula
now, we can find y-value
so, vertex is (-2,-98)
zeros:
we can set y=0
and then we can solve for x
we can factor it
zeros are
(5,0) (-9,0)
y-intercept:
we can plug x=0 and find y
So, y-intercept is (0,-90)
Answer:
The confidence level for a confidence interval of 46.4% to 47.6% is 99.7%.
Explanation:
First of all, the choices for this question are missing so I will include the ones I found for this exact question. The missing options are as follows:
A. 85% B. 95% C. 68% D. 99.7%
When it comes to statistics, a confidence interval (CI) is a type of interval estimate of a population parameter. Statistics is all about drawing conclusions in the face of uncertainty. Whenever you take a sample, you can’t be completely certain that your sample truly reflects the population it’s drawn from.
In conclusion, from the choices presented, the best option is the last one. Option D.
