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postnew [5]
3 years ago
8

The point A has co-ordinates (-4,6) and the point B has co-ordinates (7,-2).

Mathematics
2 answers:
miskamm [114]3 years ago
5 0

Answer:

√185

Step-by-step explanation:

(x₁,y₁)= (-4,6)

(x₂,y₂)=(7,-2).

the length of the line AB =√{(x₂-x₁)²+(y₂-y₁)²}

                                         =√[{7-(-4)}²+{-2-6}²]

                                          =√[{7+4}²+{-2-6}²]

                                          = √{11²+(-8)²}

                                          =  √121+64

                                          =√185

Serhud [2]3 years ago
3 0

Answer:

√185 or 13.60 units to the nearest hundredth.

Step-by-step explanation:

For the points (x1,y1) and (x2,y2) the length between the points is given by:

L = √ [ (x2-x1)^2 + (y2-y1)^]

So here we have:

Length of AB  √ [ (7- - 4)^2 + (-2 - 6)^2]

=  √ (121 + 64)

= √185.

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Irina-Kira [14]

Answer:

The answer is "0.0023 and Choice a"

Step-by-step explanation:

In point a:

The central limit theorem:

\mu_{X}= 250\\\\\sigma_{X}=\frac{\sigma}{\sqrt{n}}=\frac{6}{\sqrt{100}} =0.6\\\\P(\bar{X}>251.7)\\\\=P(z>\frac{251.70-250}{0.6})\\\\=P(z>2.83)\\\\=1-0.9977\\\\=0.0023

In point b:

The chance is lower than 0.05. This means that it is very rare to see the average sample above 251.8 if the argument is valid, that is why the means of the sample is far away from the common claimed and casts doubt on the actual mean.

6 0
3 years ago
Can someone PLEASE help me with this question?
disa [49]

9514 1404 393

Answer:

  11

Step-by-step explanation:

The future value of the account is given by the formula ...

  A = P(1 +r/12)^(12t) . . . . principal P invested at rate r for t years

Solving for t, we find ...

  A/P = (1 +r/12)^(12t) . . . . . . . . . . . divide by P

  log(A/P) = 12t·log(1 +r/12) . . . . . . take logs

Divide by the coefficient of t, then fill in the numbers.

  t = log(A/P)/(12·log(1 +r/12)) = log(202800/93000)/(12·log(1 +.068/12))

  t ≈ 11.497

It will take about 11 years for the account balance to reach the desired amount.

4 0
3 years ago
What’s 1/10 + 6/100 =
DaniilM [7]
Hey there!

1/10 + 6/100 = 10/100 + 6/100 . . .

10 + 6 = 16

100 = 100 (The denominator stays the same since both denominators are the same)

= 16/100

Simplifying 16/100 . . .

16/100 = 4/25

1/10 + 6/100 = 4/25

Hope this helps you,
Have a wonderful day!
5 0
3 years ago
Find x for the triangle when it's a right triangle
BARSIC [14]
Just use the Pythagorean theorem.

a^2 + b^2 = c^2
4^2 + x^2 = (2x-1)^2
16+x^2=(2x-1)(2x-1)
16+x^2=4x^2-4x+1
0=3x^2-4x-15
0=(3x+5)(x-3)
3x+5=0    x-3=0
3x= -5       x=3
x= -5/3      x=3

Since x can't be a negative number when it comes to distance or the length of a triangle, the answer must be x=3.
7 0
3 years ago
PLEASE ANSWER + BRAINLIEST !!!<br><br> Write a rule for the sequence, then find the indicated term.
fiasKO [112]
ANSWER

The rule is:

a_{n}=49 - 20n

The indicated term is:

a_{32}=-591

EXPLANATION

The terms of the sequence are;

{29,9,-11,-31,...};

The first term of the sequence is

a_1=29

The common difference is

d = 9 - 29 = - 20

The nth term is given by:

a_n=a_1+d(n-1)

Substitute the values to obtain,

a_{n}=29 - 20(n-1)

a_{n}=29 - 20n + 20

a_{n}=49 - 20n

The indicated term is

a_{32}=49 - 20(32)

a_{32}=-591
5 0
3 years ago
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