Answer:
3. x + 18.
4. 8n + 16
Step-by-step explanation:
3. We have to calculate the area of wood present in the frame whose dimensions are given with the question.
Requires area = {(x + 3) × 1} + [(4 - 1) × {(x + 3) - (x - 2)}] = x + 3 + 3 × 5 = x + 18. (Answer)
4. The sum of four consecutive odd numbers where 2n + 1 is the smallest odd number will be
= (2n + 1) + (2n + 3) + (2n + 5) + (2n + 7)
= 8n + 16 (Answer)
Answer:
A) (Triangle) So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
B) We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.
C)The parallelogram area can be calculated, using its base and height.
Area = ½ × d1 × d2 sin (y)
All Formulas to Calculate Area of a Parallelogram
Using Base and Height A = b × h
Using Trigonometry A = ab sin (x)
Using Diagonals A = ½ × d1 × d2 sin (y)
D)Area of a trapezoid is found with the formula, A=(a+b)/2 x h. Learn how to use the formula to find area of trapezoids.
Hope this helps!
All the love, Ya boi Fraser :)
Answer:
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
Step-by-step explanation:
Let (x, y) be the general such point.
Hence rotating it by 180 deg. counterclockwise will give us (-y,-x).
Reflecting (-y,-x) on x axis gives us (-y,x).
Hence if (x,y) = (-y,x) then all ( x, y) where x = -y or x+y = 0 or x=y or x-y=0 will satisfy this condition.
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
Answer:
The function is polynomial with the following characteristics
Degree: 5 and leading coefficient: -13.
Step-by-step explanation:
You can see the explanation in the image.
I will like to mention that the question is a little obscure, and the explanation applies for the following function:

You always have to choose the highest power of x, in order to find the leading term.
Answer:
<em>f(10)=290</em>
Step-by-step explanation:
<u>Function Evaluation</u>
Given a function f(x) as an explicit expression, finding f(x=a) implies substituting the value of x by a in every instance it occurs.
We are given the function:

It's required to find f(10). We replace the x for 10:

Operating:



Thus, f(10)=290