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babymother [125]
4 years ago
11

What is the distance between the points (4,3) and (1,1) on the cordinate plane

Mathematics
1 answer:
JulsSmile [24]4 years ago
5 0
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(4,3)....x1 = 4 and y1 = 3
(1,1)...x2 = 1 and y2 = 1
now we sub
d = sqrt (1 - 4)^2 + (1 - 3)^2
d = sqrt (-3^2) + (-2^2)
d = sqrt (9 + 4)
d = sqrt 13
d = 3.61
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Steve opens a bank account. The amount, in dollars, in the account x weeks after the account is opened can be modeled by functio
ANTONII [103]

The missing options are:

A.\ f(20) =5,000

B.\ f(5000) = 20

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

D. In the xy plane, point (5,000,20) is on the graph y = f(x)

Answer:

A.\ f(20) =5,000

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

Step-by-step explanation:

Given

Represent amount with y and weeks with x

So, we have:

x = 20 when y = 5000

Required

Select 2 correct options

A point on a graph can be illustrated using  (x,y)

So, when x = 20 and y = 5000 ----- given

(x,y) implies that:

(x,y) = (20,5000)

We got (20,5000) by substituting 20 for x and 5000 for y

<em />

<em>From the list of given options, the above represented of (x,y) is illustrated in option C</em>

Represent (x,y) as a function, we have:

y = f(x)

Substitute values for x and y

5000 = f(20)

Reorder

f(20) = 5000

<em></em>

The above is illustrated in option A

<em>Hence, A and C answers the question</em>

3 0
3 years ago
Brahmagupta's book is the oldest text representing zero
Andreas93 [3]

Answer:

Understanding zero as a number represented by the symbol 0 enabled mathematicians to have a representation of nothing. Having a digit to represent zero enables mathematics to be more abstract, and allows more complex problems to be solved.

3 0
4 years ago
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Is 6.35 greater than 6.7
Alik [6]

Answer:

NO

Step-by-step explanation:

always look at the number after point

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Solve both questions please ❤️❤️
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Answer:

1. y=7.2

2. x=18

Step-by-step explanation:

1. Triangles CMN and CBA are similar triangles (by AAA postulate). Similar triangles have proportional corresponding sides, so

\dfrac{CM}{CB}=\dfrac{CN}{CA}\\ \\\dfrac{12}{12+y}=\dfrac{10}{10+6}\\ \\12\cdot 16=10\cdot (12+y)\\ \\192=120+10y\\ \\10y=72\\ \\y=7.2

2. GK is angle G bisector. Use angle bisector's property:

\dfrac{GH}{GI}=\dfrac{KH}{KI}\\ \\\dfrac{40}{24}=\dfrac{30}{x}\\ \\40x=24\cdot 30\\ \\4x=24\cdot 3\\ \\x=6\cdot 3=18

8 0
3 years ago
Solve the equation using the distributive property and properties of equality.
user100 [1]

Answer:

a=8

Step-by-step explanation:

-5(a+3)=-55

So we multiply -5 times a and 3 so we get:

-5a-15=-55

+15      +15

____________-

-5a=-40

÷-5    ÷-5

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a=8

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