Answer:
P' = (4, 4)
Step-by-step explanation:
T(x, y) is a function of x and y. Put the x- and y-values of point P into the translation formula and do the arithmetic.
P' = T(8, -3) = (8 -4, -3 +7) = (4, 4)
_____
<em>Comment on notation</em>
The notation can be a little confusing, as the same form is used to mean different things. Here, P(8, -3) means <em>point P</em> has coordinates x=8, y=-3. The same form is used to define the translation function:
T(x, y) = (x -4, y+7)
In this case, T(x, y) is not point T, but is <em>a function named T</em> (for "translation function") that takes arguments x and y and gives a coordinate pair as a result.
Answer:
Tema = 26 years
Juma = 13 years
Abdul = 26 years
Step-by-step explanation:
Let their ages be represented as:
Tema = x
Juma = y
Abdul = z
From the question, we are told that:
Juma is twice as old as Abdul
y = 2z
z = y/2
= 0.5y
And Juma is a half times as old as Tema.
y = 1/2x
y = 0.5x
x = y/0.5
x = 2y
Hence,
x + y + z = 65
2y + y + 2y = 65
= 5y = 65
y = 65/5
y = 13 years
Since y = Zuma's age, Zuma is 13 years old
From the above question
Since 2y = z
y = 13
2 × 13 = z
z = 26
Since z = Abdul's age, Abdul is 26 years old
From the above question
x = 2y
y = 13 years
x = 2 × 13 years
x = 26 years.
Since x = Tema's age
Tema is 26 years.
Therefore, their present ages are:
Tema = 26 years
Juma = 13 years
Abdul = 26 years
You would use the Pythagorean theorem and plug it in
Volume is a three-dimensional scalar quantity. The volume of the triangular prism is 66cm².
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the length of the triangle is 4cm, while the width of the triangle is 11cm, therefore, the area of the base of the triangle will be,
Area of triangle = 0.5 × 4cm × 11cm
Area of triangle = 22 cm²
Now, the volume of the prism with a base area of 22cm² and a height of 3 cm is,
Volume of the triangular prism = 22cm² × 3cm = 66cm³
Hence, the volume of the triangular prism is 66cm².
Learn more about Volume:
brainly.com/question/13338592
#SPJ1
When angles and sides are all equal
