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Korvikt [17]
3 years ago
13

Find the distance between each pair of points. (7 1/2, -6) and (7 1/2, -2 1/2)

Mathematics
1 answer:
bezimeni [28]3 years ago
6 0

Answer:

7/2

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(7 1/2 - 7 1/2)² + [-2 1/2 - (-6)]²

√(0)² + (7/2)²

√49/4

= 7/2

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romanna [79]

Answer: 6.25^12

Step-by-step explanation:

5 0
3 years ago
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find the equation for the line that passes through (10, 10) that has slope -1/3. give your answer in point-slope form. you do no
chubhunter [2.5K]

Y - 10 =(-1/3) ( X - 10 )

Y = ( -1/3) X + ( 40/3)

Step-by-step explanation:

Step 1:

The basic form of Slope Intercept equation is

Y - Y_{1}  = m ( X - X_{1})

Step 2:

Points are (10,10) and m=-1/3

Y-10 = (-1/3)(X-10)

Y = ( (-X + 10 )/3) + 10

Y    =( - X / 3 )  +( 40 / 3)

3 0
3 years ago
Jeremy buy a new computer with 14 optional features some of the features cost $28.50 and some cost $110.99 he if he spent a tota
makkiz [27]

28.50x + 110.99(14-x)=811.45

distribute

28.50 x + 1553.86-110.99x =811.45

combine like terms

-82.49x+1553.86=811.45

subtract 1553.86 from each side

-82.49x =-742.41

divide by -82.49

x=9

He bought 9 of the 28.50 features and 5 of the 110.99 features

4 0
3 years ago
Find the inverse function of f informally. f(x) = 6x
yaroslaw [1]
f^-^1(x) =  \frac{x}{6}
8 0
3 years ago
The average (arithmetic mean) of y numbers is x. If 30 is added to the set of numbers, then the average will be x − 5. What is t
Alenkasestr [34]

Answer:

y = \frac{1}{5}(x^{2}-35x)

Step-by-step explanation:

Let the total numbers are n.

If the average of y numbers is x then we can form an equation

\frac{y}{n}=x

⇒ \frac{n}{y}=\frac{1}{x}

⇒ n = \frac{y}{x} --------(1)

Now 30 is added to the set of numbers then average becomes (x - 5)

\frac{y+30}{n+1}=(x-5)

⇒ \frac{(n+1)}{(y+30)}=\frac{1}{(x-5)}

⇒ (n + 1) = \frac{y+30}{x-5}

⇒ n = \frac{y+30}{x-5} - 1 ----- (2)

Now we equate the values of n from equation 1 and 2

\frac{y}{x} = \frac{y+30}{x-5} - 1

y(x - 5) = x(y + 30) - x(x - 5)  [ By cross multiplication ]

xy - 5y = xy + 30x - x² + 5x

xy - xy - 5y = 35x - x²

-5y = 35x - x²

x² - 35x = 5y

y = \frac{1}{5}(x^{2}-35x)

6 0
3 years ago
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