To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Answer: Let length = 2x + 3
Let width = x
Area = 54 ft2
length × width = Area
x(2x + 3) = 54
2x2 + 3x = 54
2x2 + 3x - 54 = 0
(2x - 9)(x + 6) = 0
x = 9/2 and x = -6
x = 4.5 and x = -6
We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:
width = 4.5 ft
length = 2(4.5) + 3 = 9 + 3 = 12 ft
Step-by-step explanation:
Answer:
<em>Definition 1: The theory, methods, and practice of forming judgments about the parameters of a population and the reliability of statistical relationships, typically on the basis of random sampling.</em>
<em>Definition 2: The use of randomization in sampling allows for the analysis of results using the methods of statistical inference. Statistical inference is based on the laws of probability, and allows analysts to infer conclusions about a given population based on results observed through random sampling. Two of the key terms in statistical inference are parameter and statistic.</em>
Step-by-step explanation:
Hope this helps, have a good day. c;
Answer: y=-5/4x+7
Step-by-step explanation: You can see, by looking at the graph, that the slope will be negative, so you can eliminate the options with a positive slope. You can take the first point (0,7) and the second point (4,2) and calculate the slope (the change in y divided by the change in x). 7-2 is five, so that gives us our numerator of the slope. 0-4 is -4, so that gives us our denominator. That gives us a slope of -5/4, so the only answer with that slope is the third option, y=-5/4+7. I hope this helps!
Answer:
Surface area = 726 cm²
None of the options is correct.
Step-by-step explanation:
Surface area of the composite figure = surface area of cone + surface area of cylinder - 2(area of base of cone)
✔️Surface area of cone = πr(r + l)
Where,
Radius (r) = 5 cm
Slant height (l) = √(10² + 5²) (Pythagorean theorem)
Slant height (l) = 11.2 cm
Plug in the values
= π*5(5 + 11.2)
= 254.5 cm²
✔️Surface area of the cylinder = 2πr(h + r)
r = 5 cm
h = 15 cm
Plug in the values into the formula
S.A = 2*π*5(15 + 5)
S.A = 628.3 cm²
✔️area of base of cone = πr²
r = 5 cm
Area = π*5² = 78.5 cm²
✅Surface area of the composite figure = 254.5 + 628.3 - 2(78.5)
= 882.8 - 157
= 726 cm² (nearest square meter)
None of the options is correct.
