Answer:
Not true.
Step-by-step explanation:
Whole numbers are integers that are 0 or greater than 0. Since 0 is a whole number and x > 0 does not include 0, the statement is not true. Only the sign ≥ includes 0.
Answer:
x² + (y-74)² = 4900
Step-by-step explanation:
Circle equation: (x-h)² + (y-k)² = r²
"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:
- h = 0
- k = 74 (the radius + 4 ft.)
- r = 70
So plugging those into the equation of circles, we get the answer above.
Step-by-step explanation:
Draw diagonal AC
The triangle ABC has sides 17 and 25
Say AB is 17, BC is 25
Draw altitude on side BC from A , say h
h = 17 sin B
Area = 25*17 sin B = 408
sin B = 24/25
In ∆ ABC
Cos B = +- 7/25
= 625 + 289 — b^2 / 2*25*17
b^2 = 914 — 14*17 = 676
b = 26
h = 17*24/25 = 408/25 = 16.32
Draw the second diagonal BD
In ∆ BCD, draw altitude from D, say DE =h
BD^2 = h^2 + {(25 + sqrt (289 -h^2) }^2
BD^2 = 16.32^2 + (25 + 4.76)^2
= 885.6576 + 266.3424
BD = √ 1152 = 33.94 m
Answer:
V = D/t = 10 / 20 = 0.5 mile per min
V = D/t = 20/30 = (2/3) mile per min
V = D/t = (10+20)/ 50 = (3/5) mile per min
Answer: ![(-9, 16]](https://tex.z-dn.net/?f=%28-9%2C%2016%5D)
This is the interval from -9 to 16. Exclude -9 but include 16.
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Work Shown:
The idea is to multiply all sides by 5, then add 1 to all sides
This converts to the interval notation
note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.
