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evablogger [386]
3 years ago
9

Determine whether a tangent is shown in the diagram, Yes or No?

Mathematics
1 answer:
inysia [295]3 years ago
5 0

Answer:

No

Step-by-step explanation:

If the line was a tangent, it would be perpendicular to the radius of the circle - hence there would be a 90 angle between them. Therefore we would be able to apply the Pythagorean theorem (a^2 + b^2=c^2) to determine the side lengths of a triangle that would be valid. In order for the line to be a tangent so you would say that:

3^2+9^2=90

12^2 = 144

90\neq 144

so this must not be the case.

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Vesna [10]
<h3>Answer:  Negative</h3>

Reason:

The template y = ax^2+bx+c applies to any quadratic to graph out a parabola. The coefficient for the x^2 term is 'a', and it solely determines whether the parabola opens upward or downward.

If 'a' is negative, then the parabola opens downward. The way to remember this is that 'a' being negative forms a negative frown.

On the other hand if 'a' is positive, then it forms a positive smile, and the parabola opens upward.

In this case, the points are fairly close to a parabola opening downward. This means 'a' is negative and a < 0.

8 0
2 years ago
Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
aev [14]
Its 72 degrees i just did this one plato 
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3 years ago
Read 2 more answers
4x/x-5 - 3/x-6 simplify
blagie [28]

Answer

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Step-by-step explanation:

x=4

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7 0
2 years ago
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a rectangle shape whose length is 4 inches less than twice its width. the area is 30 square inches. whats the dimension
Ne4ueva [31]
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
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Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"

So, the length the rectangle is 2" and the width is 3"
5 0
3 years ago
The lengths of three sides of a triangle are in the ratio 3 : 4 : 5. The perimeter of the triangle is 156 centimeters. What is t
julsineya [31]

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x = 13

3*13 = 39

5*13 = 65

65-39=26 cm difference

6 0
2 years ago
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