A) The exact area is just the difference between the two numbers:
2.69-2.67 = 0.02 units
b) Calculate the area of the circle with the two values for the radius:
A = <span>πr^2 = </span><span>π * 2.69^2 = </span>22.7328786 units squared
A = πr^2 = <span>π * 2.67^2 = 22.39609987 units squared
</span> Then, find the difference between the two numbers:
22.7328786 - 22.39609987 = 0.336778731 <span>≈ 0.34 units squared (2.s.f.)
c) I'm not sure what the question is asking for (perhaps the rounding expressed </span><span> at the end of b?)
d) The relative error is the absolute (exact) error divided by the actual value for </span><span> the radius:
</span> 0.02/2.67 = 0.007490636704 ≈ 0.0075 (2.s.f.)
The percentage area is the absolute (exact) error divided by the actual value for the area, and then multiplied by 100 to find a percentage:
(0.336778731/22.39609987)*100 = 1.503738298 <span>≈ 1.50% (2.s.f.)</span>
This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.
<h3>Graphing modulus function</h3>
Modulus of a function are positive value of a function. Given the modulus expression as shown
f(x) = |x – 2| – 4
This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.
The resulting graph of the function is as shown below;
Learn more on graph here: brainly.com/question/14323743
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For this case we have that the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
In this case we have the following data:
Then, the equation is of the form:
We find "b" replacing the point:
Thus, the equation is:
Answer:
Answer:
y=2/9x-14.33
Step-by-step explanation:
y=2/9x- 5
then y=2/9x+b
enter points (6,-13)
-13=12/9+b
-13-12/9=b
-14.33=b
y=2/9x-14.33
Answer:
x = -8 or x = 3
Step-by-step explanation:
To factor ax² + bx + c, use AC method.
a times c is 1 × -24 = -24.
Factors of ac (-24) that add up to b (5) are 8 and -3.
Divide by a and reduce: 8/1 and -3/1.
Therefore, the factors are x + 8 and x − 3.
x² + 5x − 24 = 0
(x + 8) (x − 3) = 0
x = -8 or 3
