Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
Based on the information given, it should be noted that the mean and standard deviation of Y will be 0.4899 and 0.699 respectively.
<h3>Calculating the mean.</h3>
Based on the information given, it should be noted that the probability distribution for y will be:
Y 0 1. 2
Probability 0.63. 0.25. 0.12
The mean of Y will be:
= (0 × 0.63) + (1 × 0.25) + (2 × 0.12)
= 0 + 0.25 + 0.25
= 0.49
The variance will be 0.4899. Therefore, the standard deviation will be:
= ✓0.4899
= 0.699
Learn more about mean on:
brainly.com/question/19243813
Let's solve your equation step-by-step.
−7x=−2x2+15
Step 1: Subtract -2x^2+15 from both sides.
−7x−(−2x2+15)=−2x2+15−(−2x2+15)
2x2−7x−15=0
Step 2: Factor left side of equation.
(2x+3)(x−5)=0
Step 3: Set factors equal to 0.
2x+3=0 or x−5=0
x= 
or x=5
Answer:
x= or x=5
Hope this helps
Answer:
Total cost is $100.41 ( $93.84 + $6.57)
Step-by-step explanation:
Thinking Point: The total cost is the cost of the items PLUS the tax. 93.84 ∙ 0.07 = 6.5688 (round to “cents”) = $6.57
Hope this helped!
Answer:
110 fence posts
Step-by-step explanation:
102÷6=17
multiply by 2 = 34
330÷6=55
multiply by 2=110
add together= 144 fence posts
