9514 1404 393
Answer:
34.5 square meters
Step-by-step explanation:
We assume you want to find the area of the shaded region. (The actual question is not visible here.)
The area of the triangle (including the rectangle) is given by the formula ...
A = 1/2bh
The figure shows the base of the triangle is 11 m, and the height is 1+5+3 = 9 m. So, the triangle area is ...
A = (1/2)(11 m)(9 m) = 49.5 m^2
The rectangle area is the product of its length and width:
A = LW
The figure shows the rectangle is 5 m high and 3 m wide, so its area is ...
A = (5 m)(3 m) = 15 m^2
The shaded area is the difference between the triangle area and the rectangle area:
shaded area = 49.5 m^2 - 15 m^2 = 34.5 m^2
The shaded region has an area of 34.5 square meters.
Answer:
x < - 2
Step-by-step explanation:
given - 4.9x + 1.3 > 11.1 ( subtract 1.3 from both sides )
- 4.9x > 9.8 ( divide both sides by - 4.9 )
Remembering to reverse the direction of the inequality symbol as a result of dividing by a negative quantity.
x < - 2 ← inequality reversed
solution set : x ∈ ( - ∞, - 2 )
The linear function which represents the line given by the point-slope equation is (B)
.
<h3>
What is a linear function?</h3>
- The word linear function in mathematics refers to two distinct but related concepts.
- A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
To find the linear function which represents the line given by the point-slope equation:
Given: 
Distribute the right side:

Adds 8 on both sides:

Convert to function notation:

Therefore, the linear function which represents the line given by the point-slope equation is (B)
.
Know more about linear functions here:
brainly.com/question/15602982
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The complete question is given below:
Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals start fraction one-half end fraction left-parenthesis x minus 4 right-parenthesis. (x – 4)?
A) F(x) = f(x) equals StartFraction one-half EndFraction x plus 4.X + 4
B) f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.
C) X + 6 f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.X –10
D) f(x) = f(x) equals StartFraction one-half EndFraction x minus 12.X – 12
-2x+4≥2x-8, 12≥4x, 3≥x, x≤3 so all values in the set satisfy the equality.