MATHEMATICS HIGH SCHOOL

If the diameter of a circle has endpoints A (7,2) and B (-1,8), where is the center?

Answers

Answer 1
Answer: first we will get sum of X coordinates of A and B
secondly we will divide it by two
same sum the Y coordinates and divide it by
(-1+7)/2=3 and  (2+8)/2=5
so the center will be (3,5)
hope it helps
Answer 2
Answer: In the middle: x-coordinate= {7-(-1)}/2= 4 y-coordinate= (8-2)/2= 3 So centre is (4,3)

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Answers

Answer:

<T = 83

Step-by-step explanation:

In a parallelogram  <M = < P   and < N = <T  (opposite angles are congruent)

We also know that <M + <N = 180  ( consecutive angles are supplementary)

<M + <N = 180

6x+10  + 5x+10.5 = 180

Combine like terms

11x+20.5 = 180

Subtract 20.5 from each side

11x +20.5-20.5 = 180-20.5

11x = 159.5

Divide each side by 11

11x/11 = 159.5/11

x=14.5

We can find <N

<N = 5x+10.5

    = 5(14.5)+105

   =72.5 +10.5

   = 83


<N = <T = 83

- ( 8x + 8 ) = 4 - 4 x

Answers

Distribute: -8x-8=4-4x
Isolate the variables from the constants: -8x+4x=4+8
Combine linked terms: -4x=12
Divide by -4: x=-3 

The sum of a number times 2 and 22 is at least 19.

Answers

Frist step is to write it out:

2a + 22 ≤ 19

then you solve for a to find that missing number:

2a ≤ -3
a ≤ -3/2

make sense?

A furnace technician chargers $20 per hour and a one-time service charge of $30. Which equation represents the total charge ( y ) for working x hours?

Answers

y=30x+20 i hope this helps=)

What is the density ?

Answers

Density is the degree of compactness of a substance. It is the degree of consistency measured by the quantity of mass per unit  volume. It is the relationship between the mass of the substance and the amount of space it takes up. I hope it helps. 
The mass of substance per unit of volume. 

Which expression finds the measure of an angle that is coterminal with a 126° angle?126° + (275n)°, for any integer n
126° + (375n)°, for any integer n
126° + (450n)°, for any integer n
126° + (720n)°, for any integer n

Answers

Answer:

126° + (720n)°, for any integer n

Step-by-step explanation:

Coterminal Angles of an angle are the angles who share the same initial side and terminal sides.

Also, we can find the coterminal angle of an angle by adding or subtracting 360°. ( When angle is given in degree ),

For example, if Ф is an angle,

Then, its coterminal angles are,

Ф + 360 n, for an integer n,

Here, Ф = 126°,

Hence, its coterminal angles are,

126° + ( 360 n)°,

Since, n is an integer,

⇒ 2n is an integer,

So, the co-terminal angle of 126° can be written,

126° + ( 360×2n )°= 126° + ( 720n)°, for any integer n.
All the coterminal angles with 126° are 126 + k*360, being k an integer.

if you make k=2n

You find that 126° + 2n*360 also represent coterminal angles for 126°, so the answer is 126° + 720n


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