Answer:
a. |x - 1.5| < 0.125
b. -0.125 < x - 1.5 < 0.125
c. 1.375 < x < 1.625
d. Bolt has to be greater than 1.375 inches and less than 1.625 inches to be within the margin of error of 0.125 inches.
e. One acceptable length for a bolt is 1.4 inches.
f. One non-acceptable length for a bold is 1.7 inches.
Step-by-step explanation:
Solve for x:
-0.125 < x - 1.5 < 0.125
-0.125 < x - 1.5 and x - 1.5 < 0.125
1.375 < x x < 1.625
Write this as: 1.375 < x < 1.625
To find the value of k such that (k, k) is equidistant from (-2, 0) and (0, 5), we can use the distance formula.
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's calculate the distances from (k, k) to (-2, 0) and (0, 5) and set them equal to each other:
√((k - (-2))² + (k - 0)²) = √((k - 0)² + (k - 5)²)
Simplifying this equation:
√((k + 2)² + k²) = √(k² + (k - 5)²)
Squaring both sides of the equation to eliminate the square roots:
(k + 2)² + k² = k² + (k - 5)²
Expanding and simplifying:
k² + 4k + 4 + k² = k² + k² - 10k + 25
2k² + 4k + 4 = 2k² - 10k + 25
Rearranging terms:
4k + 4 = -10k + 25
Combining like terms:
14k = 21
Dividing both sides by 14:
k = 21 / 14
Simplifying the fraction:
k = 3 / 2
Therefore, the value of k that makes (k, k) equidistant from (-2, 0) and (0, 5) is k = 3/2.
Answer:
b= 2 is the solution for the given equation.
Step-by-step explanation:
Here, the given expression is:
Simplifying Left side, we get
=
Also, by ALGEBARIC IDENTITY:
So,
So, LHS becomes
Compare both Left side, Right side we get
=
or, 7(b-3) + 5(b+3) = 10b -2
⇒ 7b - 21 + 5b + 15 = 10b -2
or, 12b - 10b = 6-2
or, 2b = 4 ⇒ b = 4/2 = 2
⇒ b= 2 is the solution for the given equation.
B. The y-coordinate of the center of the circle increases by 3.
C. The x-coordinate of the center of the circle increases by 3.
D. Both the x- and y-coordinates of the center of the circle increase by 3.
Answer:
Option C is correct that is the x-coordinate of the center of the circle increases by 3.
Step-by-step explanation:
The given equation is:
Since, the circle is shifted right 3 units
There, will be no change in y-axis because it is horizontal change.
So, Option A,B and D are discarded.
Therefore, Option C is correct that is the x-coordinate of the center of the circle increases by 3.
Answer:
Optcion c
Step-by-step explanation:
slay
The standard unit for the measurement of power is known as: B. Watts.
Measurement is a process through which the size, magnitude or other physical quantities that are associated with an object is taken, especially for the purpose of a scientificresearch (experiment).
In Science, some of the standard unit of measurements with the correct physical quantities include the following:
In conclusion, we can deduce that Watts is the standard unit for the measurement of power.
Read more on power here: brainly.com/question/23901751
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Answer:
watts
Step-by-step explanation:
watt
hope this will help u