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SVEN [57.7K]
3 years ago
12

The slope of a line can be stated many ways if not put into simplest form.

Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0
Your answer is true , it can be stated by putting it into simplest form
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In a circle an arc length 10 is intercepted by a central angle of 2/3 radius
djverab [1.8K]

We have been given that in a circle an arc length 10 is intercepted by a central angle of 2/3. We are supposed to find the radius of the circle.

We will use arc-length formula to solve our given problem.

l=r\theta, where,

l = Arc length,

r = Radius,

\theta = Central angle corresponding to arc length.

Upon substituting our given values in arc-length formula, we will get:

10=r\cdot \frac{2}{3}

10\cdot \frac{3}{2}=r\cdot \frac{2}{3}\cdot \frac{3}{2}

5\cdot \frac{3}{1}=r

15=r

Therefore, the radius of the given circle would be 15 units.

5 0
3 years ago
What is the vertex of the parabola given by the equation y x^2+ 4?
max2010maxim [7]

Format of Quadratic Equation:  y = ax2 + bx + c

Given Quadratic Equation:  y = 2x2 - 3x + 3

Coefficient Variable Values:  a = 2 and b = -3 and c = 3

Axis of Symmetry:  x = -b/2a = -(-3)/2(2) so answer is x = 3/4

Vertex:  x value is axis of symmetry (3/4) and y value is calculated substituting 3/4 for x in original equation:  y = 2(3/4)2 - 3(3/4) + 3 = 2(9/16) - 9/4 + 3 = 9/8 - 9/4 + 3 = 9/8 - 18/8 + 24/8 = 15/8,
so answer is (3/4,15/8)

x intercepts (solve using quadratic formula):  x = (-b plus or minus sqrt(b2 - 4ac)/2a, so plugging in coefficient values for a and b and c, we get x = [-(-3) plus or minus sqrt((-3)2 - 4(2)(-3)]/2(2), which results in x = (3 + sqrt(33))/4 or (3 - sqrt(33))/4 and answers to nearest tenth are x = (3 + 5.7) / 4 = 2.2
or x = (3 - 5.7) / 4 = -0.7

y intercept is calculated by substituting zero for x into original equation:  y = 2x2 - 3x + 3, so y-intercept is 3.

Domain is range is from calculated negative x intercept (-0.7) to calculated positive x intercept (2.2) and is written as (-0.7,2.2)

Range is from calculated y-intercept to positive infinity, since parabola opens up due to positive x2 coefficient value, so range is written as (3,positive infinity).  Note:  infinity symbol is sideways 8.         

4 0
3 years ago
Read 2 more answers
I need help on this. Can someone please help me??
Veronika [31]

Answer: A

Step-by-step explanation: if you want me to explain just comment

4 0
3 years ago
Are 2(x-5) and 2x-5 equivalent
Mandarinka [93]
No, because with the parentheses, you distribute the 2 to both the x and the 5, making that equation 2x-10
7 0
3 years ago
Read 2 more answers
Will give brainiest lol
Nat2105 [25]

Answer: 4 1/6 = 6/25

5 5/6 = 6/35

1 5/6= 6/11

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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