Point A has the coordinates (6, –4). On a coordinate plane, point R is 6 units to the left and 4 units up. Point S is 6 units to the right and 4 units down. Point T is 6 units to the left and 4 units down. Point U is 6 units to the right and 4 units up. Which point on the graph shows the reflection of point A across the y-axis? R S T U

The point T shows the reflection of point A across the y-axis

Step-by-step explanation:

we know that

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite

so

The reflection of a point across the y-axis is equal to the rule

(x,y) > (-x,y)

we have

A(6,-4)

Applying the reflection across the y-axis to point A

A(6,-4) > A'(-6,-4)

Remember that

Point T is 6 units to the left and 4 units down

therefore

The point T shows the reflection of point A across the y-axis

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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