Answer:
12 units²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A =
h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 4 ( perpendicular distance between the bases ) and
b₁ = SR = 2, b₂ = TA = 4 , then
A =
× 4 × (2 + 4) = 2 × 6 = 12 units²
Area formula of a parallelogram is
A = base x height
Given are the
Area = 60 m² and base = 10 m
Substitute the given:
60 = 10h (divide by 10 to find value of h)

(10 and 10 cancels out)
h = 6The
height of a parallelogram with a base of 10m and an area of 60m² is
6m
Answer:


Step-by-step explanation:
<h3><u>Question 12</u></h3>
Find the slope of the line by substituting two points from the given table into the slope formula.
<u>Define the points</u>:
- Let (x₁, y₁) = (2, 7)
- Let (x₂, y₂) = (3, 13)

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:




<h3><u>Question 17</u></h3>
Given:
Therefore, two points on the line are:
The y-intercept is the y-value when x = 0.
Therefore, the y-intercept of the line is -2.

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:




Therefore, the equation of the line is:

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial is x³- 7x² - 6x + 72.
<h3>What is a polynomial?</h3>
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
The polynomial using the given information can be made as shown below.
Given the zeros of the polynomial are -3, 4, and 6.
P(x) = (x+3)(x-4)(x-6) = x³- 7x² - 6x + 72
To check the end behaviour of the function, the graph of the function can be plotted as shown in the below image.
Hence, the polynomial is x³- 7x² - 6x + 72.
Learn more about Polynomials:
brainly.com/question/27343162
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