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masha68 [24]
3 years ago
11

What is the distance between point A -1,3 and point B -7,3

Mathematics
2 answers:
AnnyKZ [126]3 years ago
7 0

Answer:

the distance is -6

Step-by-step explanation:

a to 0,0 is 1

b to 0,0 is 7

1-7= -6

Dmitry_Shevchenko [17]3 years ago
5 0

The distance between point A (-1, 3) and point B (-7, 3) is 6 units

<u>Solution:</u>

Given, two points are A(-1, 3) and (-7, 3)

We need to find the distance between above two points.

We know that distance between two points P\left(x_{1}, y_{1}\right) \text { and } Q\left(x_{2}, y_{2}\right) is given as:

d(P, Q)=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}

\text { here, } x_{1}=-1, y_{1}=3, x_{2}=-7 \text { and } y_{2}=3

Substitute the values we get,

\begin{array}{l}{\text { Distance }=\sqrt{((-7)-(-1))^{2}+(3-3)^{2}}} \\\\ {=\sqrt{(1-7)^{2}+(0)^{2}}=\sqrt{(-6)^{2}+0}} \\\\ {=\sqrt{36}=6}\end{array}

Hence, the distance between two points is 6 units.

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8. A substance has a half life of 2.347 minutes.
mina [271]

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

A=A_0b^{\frac{t}{c}}

Where A is the final population

A_0 is the initial population

b is the growth factor

c is the time taken for the growth 'b'

t is the amount of time

Here, we are given that:

A = 6. 9 grams

A_0 = 110.4 grams

b = \dfrac{1}{2}

c = 2.347 min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to \frac{t}{c}.

Putting the values in the formula, we get:

6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4

Therefore, the answer is:

<em>4 half lives </em>have passed.

b.) Total time of decay. We have to find the value of t here.

From answer of part a.):

\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}

7 0
3 years ago
Write a function rule that gives a worker’s earnings e(n) for n hours when the worker’s hourly wage is $6.37
aleksandrvk [35]

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Answer:b is the right choice hopefully dont be mad if it is wrong

Step-by-step explanation:

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