Answer:
Step-by-step explanation:
Base of the triangle= 37•5m
Height of the triangle= 6•4m
Area of the triangle= 1/2 × base × height
= 1/2 × 37•5 × 6•4
= 120 m^2
Please mark it as brainliest:)
The piece-wise linear functions can be written as follows:
.
.
.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
20
Step-by-step explanation:
The distance between two points on the number line is the absolute value of the difference of their coordinates.
coordinate of point D: 9
coordinate of point P: -11
Take the absolute value of their difference. It does not make a difference in which order you subtract the coordinates.
distance = |-11 - 9| = |-20| = 20
Answer: The distance is 20.
18 ft because area is length times width which is 2x9 in this situation and it equal 18 giving you the answer.
Answer:
Givens
- The cost of the square windows is 3 euros per meter, and 12 euros for the crystal.
<h3>If a window has 2 meters side, how much would it cost? (A)</h3>
Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.
Specifically, the function of the cost is:
, where
represents meters of sides. (C)
<h3>If we paid 60 euros, the dimensions are (B)</h3>
![60=3x+12\\60-12=3x\\x=\frac{48}{3}=16](https://tex.z-dn.net/?f=60%3D3x%2B12%5C%5C60-12%3D3x%5C%5Cx%3D%5Cfrac%7B48%7D%7B3%7D%3D16)
The window has 16 meters between the four sides, which gives 5 meters per side.
The graph of the function is attached.