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Zanzabum
1 year ago
6

in circle o, points a and b lie on the circle such that OA=5x-11 and OB=4(x-1) what represents the length of the circle' s diame

ter
Mathematics
1 answer:
AysviL [449]1 year ago
3 0
We know that
if <span>points a and b lie on the circle  and O is the center
so
OA is the radius
OA=OB
5x-11=4(x-1)-----> 5x-11=4x-4----> 5x-4x=11-4-----> x=7
OA=5x-11-------> OA=5*7-11-----> OA=24  units

the diameter is (OA+OB)
2*OA------> 2*24------> 48 units</span>
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Answer:

17 inches

Step-by-step explanation:

An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.

Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.

Now we know that for an obtuse triangle,

$c^2 > a^2 +b^2$

$c^2 > (9)^2 +(14)^2$

$c^2 > 81 +196$

$c^2 > 277$

c > 16.64

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1 year ago
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The sum of two numbers is zero.
x + y = 0
y = -x

<span>Twice the smaller number subtracted from 3 times the larger number is 10.
Let x represent the larger number and y represent the smaller number.

Twice the smaller number: 2y

3 times the larger number: 3x

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3x - 2y = 10

-2y = -3x + 10

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The answer is the first choice.
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1 year ago
F(x)=3x 2 +24x+48f, left parenthesis, x, right parenthesis, equals, 3, x, squared, plus, 24, x, plus, 48 What is the value of th
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Answer:

The discriminant of function is 0. There one distinct real number zero of f(x)(repeated roots).

Step-by-step explanation:

We are given the following function in the question:

f(x)=3x^2 +24x+48

We have to calculate the discriminant of the function.

Comparing to

f(x) = ax^2+bx+c

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Discriminant is given by:

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Putting values, we get,

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Thus, the discriminant of function is 0.

Since, the discriminant is zero, the function have repeated real roots. Thus, one distinct real number zero of f(x).

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