What is the image point of (3,1) after a translation right 3 units and up 4 units
1 answer:
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<u>Question</u>:
A rectangle has a height of 4 and a width of x² + 3x + 2. Express the area of the entire rectangle.
<u>Given:</u>
The height of the rectangle is 4.
The width of the rectangle is
We need to determine the area of the entire rectangle.
<u>Area of the entire rectangle:</u>
Let us determine the area of the entire rectangle.
The area of the rectangle can be determined using the formula,
Substituting height = 4 and width =
Thus, we get;
Multiplying the terms by 4, we get;
Thus, the area of the entire rectangle is
see the attached figure to better understand the problem
Step 1
<u>Find the value of c</u>
we know that
Applying the Pythagorean Theorem
we have
substitute the values in the formula
Step 2
<u>Find the value of angle A (α)</u>
we know that
in the right triangle ABC
Step 3
<u>Find the angle B (β)</u>
we know that
in the right triangle ABC
angle A and angle B are complementary angles
so
A+B=90
solve for B
B=90-A-------> B=90-60.48-----> B=29.52°
therefore
<u>the answers are</u>
a) the measure of side c is 580.36 mm
b) the measure of the angle α is 60.48°
c) the measure of the angle β is 29.52°
