The slope of the function y = 2x^2 + 2 at the point x = 3 is 12.
The slope of a function can be determined using the derivative of the function. In this case, the function is y = 2x^2 + 2. Taking the derivative of this function gives us dy/dx = 4x. To find the slope at x = 3, we substitute x = 3 into the derivative: dy/dx = 4(3) = 12.
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A:4/5
B:-2
C:4
D:5
The 4/5 is the constant of proportionality/unit rate for the proportional relationship.
We have given that,
the unit rate for the proportional relationship is represented by the equation y=4/5x.
We have to determine the unit rate
The equation for proportionality is y = kx, where k is the constant of proportionality.
So in y = 4/5x,
The 4/5 is the constant of proportionality/unit rate for the proportional relationship.
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Answer:
A: 4/5
Step-by-step explanation:
The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.
So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.
Answer:
-49%
Step-by-step explanation:
i know this one by doing a long math formula
Answer:
49.0%
Step-by-step explanation:
take the 2 numbers and find the difference
51 - 26 = 25
take the difference and divide it by the orginal number
25÷51 = 0.49019607843
then times that number by 100
(25÷51) × 100 = 49.0196078431
so the number was decreased by 49.0 %
51
56
68
85
Answer:
(C)68
Step-by-step explanation:
Given: From the given figure, it is given that arcDC=112° and arcAB=72°.
To find: the measure of DE.
Solution: From the given figure, it is given that arcDC=112° and arcAB=72°.
Now, it is given that ∠DOC=112° and ∠EOC=180° (straight line)
thus, using the property that the sum of angles around a point is 360°, therefore
∠EOD+∠DOC+∠EOC=360°
⇒∠EOD+112°+180°=360°
⇒∠EOD=68°
Thus, the measure of DE is 68.
Hence, option (C) is correct.
the area of the triangle with sides of lengths 13 cm, 6 cm, and 9 cm is approximately 23.66 square centimeters.
To find the area of a triangle when you know the lengths of all three sides, you can use Heron's formula. Heron's formula states that the area (A) of a triangle with sides of lengths a, b, and c can be calculated using the following formula:
A = √[s(s - a)(s - b)(s - c)]
Where:
s is the semiperimeter (half of the perimeter), given by s = (a + b + c) / 2.
a, b, and c are the lengths of the triangle's sides.
In your case, the lengths of the three sides are a = 13 cm, b = 6 cm, and c = 9 cm. Now, calculate the semiperimeter (s):
s = (a + b + c) / 2
s = (13 + 6 + 9) / 2
s = 14 cm
Now, use Heron's formula to find the area (A):
A = √[14(14 - 13)(14 - 6)(14 - 9)]
A = √[14(1)(8)(5)]
A = √[560]
A ≈ 23.66 cm² (rounded to two decimal places)
So, the area of the triangle with sides of lengths 13 cm, 6 cm, and 9 cm is approximately 23.66 square centimeters.
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Answer:
ADD ALL SIDE TOGETHER
Step-by-step explanation: