a. The difference between two outputs that are 1 unit apart.
You need to Use y2 - y1 / x2 - x1 to find the difference
I will choose x2 as 1 and x1 as 0
(29 - 21) / (1 - 0)
8/1 so The difference is 8 per 1 unit.
b. Use the same formula
I will choose -3 as x2 and -5 as x1
(5 - (-11)) / (-3 - (-5))
(5 + 11) / (-3 + 5)
16 / 2 so the difference is 16 per 2 units.
c. I will choose 2 as x2 and -1 as x1
(45 - 21) / (2 - (-1))
24/3 so the difference is 24 per 3 units.
d. The ratios of the differences to the input intervals reduced all equal each-other, which is 8 per 1 unit.
The cube root of 60 is 3.87 approximately.
Step by step solution:
We can calculate the cube root by Halley's method:
The formula is ![\sqrt[3]{a} = x ((x^{3} + 2a)/(2x^{3} + a))](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Ba%7D%20%3D%20x%20%28%28x%5E%7B3%7D%20%20%2B%202a%29%2F%282x%5E%7B3%7D%20%20%2B%20a%29%29)
where,
a = number whose cube root is being calculated
x = integer guess of its cube root.
Here a = 60,
Suppose x as 3
[∵ 3³ = 27 and 27 is the nearest perfect cube that is less than 60]
⇒ x = 3
Therefore,
∛60 = 3 (3³ + 2 × 60)/(2 × 3³ + 60)) = 3.87
⇒ ∛60 ≈ 3.87
Therefore, the cube root of 60 is 3.87 approximately.
Here , ∛60 is irrational because it cannot be expressed in the form of p/q where q ≠ 0.
Therefore, the value of the cube root of 60 is an irrational number.
Learn more about cube root :brainly.com/question/27863878
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Given that the chords intersect at the center, you conclude that they both are diameters.
Now, you have that the point p is the intersection point, so it is the center of the circle.
Then, the length of CP is the radius of the circle, and also the lenght of PB is the radius.
So, the length of CP is equal to the length of PB, and it is 8.
Answer: 8.
Supplementary angles are two angles that add up to 180°.
STEP 1:
find the value of x
x= smaller angle
10x + 48= larger angle
Add the two angles above to equal 180.
x + (10x + 48)= 180
combine like terms
11x + 48= 180
subtract 48 from both sides
11x= 132
divide both sides by 11
x= 12° smaller angle
STEP 2:
find the value of the second angle
=10x + 48
=10(12) + 48
=120 + 48
=168° larger angle
CHECK:
12° + 168°= 180°
180°= 180°
ANSWER: The smaller angle is 12° and the larger angle is 168°.
Hope this helps! :)