MATHEMATICS HIGH SCHOOL

Write an equation in standard form for the line that passes through th (6,0) and (0,7)

Answers

Answer 1
Answer:

Answer:

y=-7/6 x+7

Step-by-step explanation:

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The area of a rhombus equals half the sum of the diagonals

Answers

The statement is TRUE. There are a lot of formula in getting the area of the rhombus because it is a special shape or a special perpendicular. Dividing the sum of the 2 diagonals divided by 2 is just one way to solve the area. It can also be solve by multiplying the base and the height.

Finish the sequence
1,1,2,3,5,8,_,_,_

Answers

This is a Fibonacci sequence
1; 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
next terms:
5 + 8= 13
8 +13 = 21
13 + 21 = 34
The Fibonacci sequence has to be thought of in these terms:

F₀, F₁, F₂, F₃, F₄, F₅, F₆, F₇, etc, etc

----------------------

Now:

F₀=0

F₁=1

The formula you use to get the other numbers is:

F_(n) = F_(n-1) + F_(n-2)

--------------

So:

F_(2) = F_(2-1) + F_(2-2) = F_(1) + F_(0) =1+0=1

And:

F_(3)= F_(3-1) + F_(3-2) = F_(2) + F_(1) =1+1=2

------------

If you continue using the formula, you should get a sequence that starts off like this:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc, etc

2.0 is???? times greater than 0.002

Answers

2 is 1,000 times greater that 0.002
so 2 is ____ times greater than 2 thousandths. hmm... i think it would be "2 is 1,000 times greater than 0.002

A map has a scale of 1 cm : 15.5 km. Two cities are 2.3 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?

Answers

The proportion
1 cm                    15.5 km
2.3 cm                 x km

1/2.3=15.5/x
x=2.3*15.5
x=35.65≈35.7 km
35.65 kilometers
15.5 times 2.3

If 0 < x < 1 , which of the following lists the numbers in increasing order ??(a) √x , x , x²
(b) x² , x , √x
(c) x² , √x , x

Answers

Answer:

(b) x² , x , √x

Step-by-step explanation:

Since, when x is a real number,

Such that 0 < x < 1

Then with increasing the exponent of x the value of x decreases,

That is, x with highest exponent is lowest,

Since,

2 > 1 > (1)/(2)

Thus, by the above statement,

x^2 < x < x^(1)/(2)

Hence, the numbers in increasing order is,

x² , x , √x

Where, 0 < x < 1

Option (b) is correct.
answer B

x = (1)/(4)    
\sqrt{ (1)/(4) }= (1)/(2) 
((1)/(4))^2 = (1)/(16)

(1)/(16)\ \textless \ (1)/(4)\ \textless \ (1)/(2)

There are 3 people at a party. If each person must shake hands with every other person at the party exactly once, how many handshakes will there be?

Answers

Answer:

The total number of handshakes that would happen between the three people are:

                                    3

Step-by-step explanation:

There are three people at a party.

Let they be denoted by A,B and C.

Now, the total number of handshakes that would occur will be denoted by:

      AB, AC and BC

where AB denotes that A and B shake hands.

AC denote that A and C shake hands.

and BC denote that B and C shake hands.

Hence, total number of handshakes are:

                           3
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