Answer:
2, 4
Step-by-step explanation:
Answer:
Perimeter of PQR = 37 units (Approx.)
Step-by-step explanation:
Using graph;
Coordinate of P = (-2 , -4)
Coordinate of Q = (16 , -4)
Coordinate of R = (7 , -7)
Find:
Perimeter of PQR
Computation:
Distance between two point = √(x1 - x2)² + (y1 - y2)²
Distance between PQ = √(-2 - 16)² + (-4 - 4)²
Distance between PQ = 18 unit
Distance between QR = √(16 - 7)² + (-4 + 7)²
Distance between QR = √81 + 9
Distance between QR = 9.48 unit (Approx.)
Distance between RP = √(7 + 2)² + (-7 + 4)²
Distance between RP = √81 + 9
Distance between RP = 9.48 unit (Approx.)
Perimeter of PQR = PQ + QR + RP
Perimeter of PQR = 18 + 9.48 + 9.48
Perimeter of PQR = 36.96
Perimeter of PQR = 37 units (Approx.)
Since work = force * distance, the answer would 5*.5, which is 2.5 J
Answer:
Area of the other polygon = 4 in.²
Step-by-step explanation:
Area of the bigger polygon : Area of the smaller polygon = square of the side length of the bigger polygon : square of the corresponding side length of the smaller polygon
Let "x" represent the area of the smaller polygon
Thus, we have:
100/x = 20²/4²
100/x = 400/16
100/x = 25
Cross multiply
25x = 100
Divide both sides by 25
25x/25 = 100/25
x = 4
Area of the other polygon = 4 in.²
The mathematical functions (equations) are matched to their graph line respectively as follows:
- y = 960 - 78x: purple straight line.
- y = 8·3^x: violet line curve that slopes to the left.
- y = 960·(1/2)^x: green line curve that slopes to the right.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:
y = mx ± c.
<h3>What is an exponential function?</h3>
An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:
f(x) = keˣ
Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:
- y = 960 - 78x: purple straight line.
- y = 8·3^x: violet line curve that slopes to the left.
- y = 960·(1/2)^x: green line curve that slopes to the right.
Read more on graphs here: brainly.com/question/24298987
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