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Anestetic [448]
3 years ago
12

The relationship that Pythagoras discorved is called _____

Mathematics
2 answers:
Bad White [126]3 years ago
8 0
Not very sure.. I'm not too good at this
erica [24]3 years ago
8 0
The Pythagorean Theorem

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Line L passes through the points (1, 1) and (7, 8). What is the slope of a line that is perpendicular to line L?
asambeis [7]

When a line passes through the two points (x_{1},y_{1}) and (x_{2},y_{2}) , its slope is given by the formula m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this question, a line L passes through the points (1,1) and (7,8)

So, its slope is given by m=\frac{8-1}{7-1}

m=\frac{7}{6}

When two lines are perpendicular, then the product of their slopes is -1.

Since, the slope of the line L is \frac{7}{6} , so the slope of the line which is perpendicular to the given line L is \frac{-6}{7} as the product of \frac{-6}{7} \times \frac{7}{6}=-1.

8 0
3 years ago
Pay ITS TIVE
max2010maxim [7]

Answer:

km per min

Step-by-step explanation:

6km ÷ 60 = 0.1

Bonolo ran 0.1 km per min

it takes 100 mins= 0.1×10

100 mins means 1 hour 40 min

3 0
2 years ago
PLEASE PLEASE HELP PLEASE
kogti [31]

Answer:

r = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² = PQ² + QR² , substitute values

(r + 4)² = r² + 8²

r² + 8r + 16 = r² + 64 ( subtract r² from both sides )

8r + 16 = 64 ( subtract 16 from both sides )

8r = 48 ( divide both sides by 8 )

r = 6

3 0
2 years ago
The capital of Australia was located
IrinaK [193]
It was located in Canberra
7 0
3 years ago
There are five families that each have one child. Each of them hires Riley as a babysitter. Because the children she babysits ar
GREYUIT [131]

Answer:

Average Rate of Pay = $ 5.23 /hr

Step-by-step explanation:

We have a data in form of Hours of Baby Sitting and Amount of Pay. Since the Amount of pay depends upon the Hours of Baby Sitting. Thus, we take y = Amount of Pay, while x = Hours of Baby Sitting. So, the data becomes:

x (Hours) =   12      13      16      17       20

y ($)         =  54     56     65     64     100  

The statistical data calculated is:

∑x = 78,   ∑x² = 1258,   ∑y = 339,  ∑xy = 5504,   n = no. of data points = 5

Now, we use linear regression model to fit a straight line to this data.

y = a + bx   --------- eqn (1)

where,

b = [ n∑xy - ∑x.∑y]/[n∑x² -(∑x)²]

b = [ (5)(5504) - (78)(339)]/[(5)(1258) - (78)²]

b = 5.23

and,

a = (∑xy - b∑x²)/∑x

a = [5504 - (5.23)(1258)]/78

a = -13.83

Therefore, eqn (1) becomes:

<u>y = -13.83 + 5.23x</u>

The graph plot of this straight line fit is provided in the attachments.

Now, we derivate the equation with respect to x, to get the average rate of pay:

Average Rate of Pay = dy/dx = d/dx(-13.83 + 5.23x)

<u>Average Rate of Pay = $ 5.23 /hr</u>

8 0
3 years ago
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