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soldi70 [24.7K]
3 years ago
6

5. Find the distance between the given points. A = (2, 0) and B = (0,9)

Mathematics
2 answers:
spayn [35]3 years ago
4 0

Answer: 9.21

Step-by-step explanation:

To find the distance between two points find the difference between the x and y values then square them and add them to find their square root.

0-9 = - 9

2 - 0 = 2

(-9)^2 + 2^2 = d^2      d is the distance

81 + 4 = d^2

85 = d^2  

d = \sqrt{85}

d= 9.23   is about 9.23  when rounded to the nearest hundredth

nika2105 [10]3 years ago
3 0

You could use a coordinate plane to solve this.

To reach B from point A, move 2 to the left and 9 down. Hope this helped, sorry I was in a rush-

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What is the volume of the rectangular prism?3 1/2 mm 9 mm 8 1/2 mm
FinnZ [79.3K]

The dimension of the rectangle prism is : 3 1/2 mm , 9 mm and 8 1/2 mm

Express the mixed fraction into decimal :

\begin{gathered} 3\frac{1}{2}=\frac{3\times2+1}{2} \\ 3\frac{1}{2}=\frac{7}{2} \\ 3\frac{1}{2}=3.5 \end{gathered}\begin{gathered} 8\frac{1}{2}=\frac{8\times2+1}{2} \\ 8\frac{1}{2}=\frac{17}{2} \\ 8\frac{1}{2}=8.5 \end{gathered}

So, the dimensions are : 3.5mm , 9mm & 8.5mm

Volume of the prism = Length x Breadth x Height

Susbtitute the value and simplify :

Volume of the prism = ( 3.5 x 9 x 8.5 ) mm

Volume of the prism = 267.75 mm

3 0
1 year ago
A certain virus infects one in every 200 people. a test used to detect the virus in a person is positive 70​% of the time when t
V125BC [204]

We're told that

P(A)=\dfrac1{200}=0.005\implies P(A^C)=0.995

P(B\mid A)=0.7

P(B\mid A^C)=0.05

a. We want to find P(A\mid B). By definition of conditional probability,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}

By the law of total probability,

P(B)=P(B\cap A)+P(B\cap A^C)=P(B\mid A)P(A)+P(B\mid A^C)P(A^C)

Then

P(A\mid B)=\dfrac{P(B\mid A)P(A)}{P(B\mid A)P(A)+P(B\mid A^C)P(A^C)}\approx0.0657

(the first equality is Bayes' theorem)

b. We want to find P(A^C\mid B^C).

P(A^C\mid B^C)=\dfrac{P(A^C\cap B^C)}{P(B^C)}=\dfrac{P(B^C\mid A^C)P(A^C)}{1-P(B)}\approx0.9984

since P(B^C\mid A^C)=1-P(B\mid A^C).

4 0
3 years ago
X + 5y = 28 2x + 3y = 21 Solve for x and y.
snow_tiger [21]
First what we gonna do is solve for y.
x+5y=28 Subtract 5y both sides.
  -5y  -5y
x=-5y+28 Then you have to replace x with the equation.
2(-5y+28)+3y=21 Multiply.
-10y+56+3y=21 Combine like terms and subtract 56 both sides. 
       -56        -56
-7y=-35 Divide -7 both sides.
y=5 Simplify.
x=-5(5)+28 Multiply and add.
x=-25+28
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6 0
4 years ago
I need an explanation how to do this ASAP I will give you 20 POINTS!!
mars1129 [50]
For the first digit you are choosing from 2 digits
for the second digit you are choosing from 2 digits
for the third digit you are choosing from 2 digits
2*2*2=8
111
110
011
101
000
001
100
010
However......
A number doesn't usually start with a 0 or 0s.
Therefore, if you want 3-digit numbers and not just permutations using 0 and 1, then you must eliminate
011, 000, 001, and 010
Seeing that the first digit can't be 0, you choose from 1, then 2, and then 2 digits again; 1*2*2=4 numbers
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6 0
3 years ago
Solve the equation <br> (If possible please show work)
deff fn [24]

Answer:

x=-3

Step-by-step explanation:

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-2(-x-4)+3=-7-4x

First, distribute the left side:

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Add values on the left side:

2x+11=-7-4x

Add 7 to both sides. The right side cancels:

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Subtract 2x from both sides. The left side cancels:

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Divide both sides by -6:

(-6x)/-6=18/-6\\x=-3

Therefore, x equals -3.

8 0
3 years ago
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