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3 years ago

What can you conclude about the intersection of a chord and the radius that bisects it

Mathematics

1 answer:

IRINA_888 [86]3 years ago

4 0

Answer: The radius and the cord must be perpendicular to each other.

Step-by-step explanation:

A cord is a line from a point of circumference of a circle to another point of the circumference of the circle without passing through the centre.

A radius is a line from the centre of a circle to the circumference of the circle.

When the radius line intersect and bisects a cord of a circle, the radius and the cord must be perpendicular to each other.

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Which of the following sequences of numbers are arithmetic sequences?

Pepsi [2]

Answer: B, C, E

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The difference between consecutive terms (numbers that come after each other) in arithmetic sequences is the same. That means you add the same number every time to get the next number. To figure out which choices are arithmetic sequences, just see if the differences are the same.

Choice A) 1, -2, 3, -4, 5, ...
-2 - 1 = -3
3 - (-2) = 5
The difference is not constant, so it is not an arithmetic sequence.

Choice B) 12,345, 12,346, 12,347, 12,348, 12,349, ...
12,346 - 12,345 = 1
12,347 - 12,346 = 1
The difference is constant, so it is an arithmetic sequence.

Choice C) 154, 171, 188, 205, 222, ...
171 - 154 = 17
188 - 171 = 17
The difference is constant, so it is an arithmetic sequence.

Choice D) 1, 8, 16, 24, 32, ...
8 - 1 = 7
16 - 8 = 8
The difference is not constant, so it is not an arithmetic sequence.

Choice E) -3, -10, -17, -24, -31, ...
-10 - (-3) = -7
-17 - (-10) = -7
The difference is constant, so it is an arithmetic sequence.

5 0

4 years ago

On a workday, the average decibel level of a busy street is 70 db, with 100 cars passing a given point every minute. if the numb

nignag [31]

70dB is represented by 100cars in 60sec. Therefore if the number of cats is reduced by 3/4 in the same amount of time(60s), then the decibel level will reduce by 3/4 also. So 70dB * .25= 17.5dB

4 0

3 years ago

Y=+/-√bx+c+d Use the inverse of the function y= x2 -18x to find the unknown values.

ozzi

Answer:

a=1

b=81

c=9

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Simplify. left parenthesis negative 8 right parenthesis squared

DerKrebs [107]

Answer:

The solution of $(-8)^{2}$ is 64.

Step-by-step explanation:

In Mathematics when two negative numbers are multiplied the result is a positive number, i.e. $-a\times-b=ab$ .

The expression to be solved is: $(-8)^{2}$

Solve the above expression as follows:

$(-8)^{2}=(-8)\times (-8)=64$

Thus, the solution of $(-8)^{2}$ is 64.

6 0

3 years ago

What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction

katovenus [111]

Answer:

$\dfrac{5}{y+5}$

Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

1st fraction: $\dfrac{3y}{y^{2}+7y+10}$

2nd fraction: $\dfrac{2}{y+2}$

Considering the denominator of 1st fraction:

$y^{2}+7y+10$

Using factorization method:

$7y$ can be written as $(2y + 5y)$ .

$\Rightarrow y^{2}+2y+5y+10$

Taking 5 common from $5y+10$ and y common from $y^{2}+2y$ : $\Rightarrow y(y+2)+5(y+2)$

Now taking $(y+2)$ common:

$\Rightarrow (y+5)(y+2)$

$\dfrac{3y}{y^{2}+7y+10}$ can be written as $\dfrac{3y}{(y+5)(y+2)}$

Now, calculating the sum:

$\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}$

Taking LCM and solving:

$\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}$

Hence, answer is $\dfrac{5}{y+5}$ .

4 0

3 years ago