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adoni [48]
3 years ago
11

If A=(0,0) and B=(6,3), what is the length of AB?

Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0

Answer:

<h2>3√5 units</h2>

solution,

A(0,0)---->(X1,y1)

B(6,3)---->(x2,y2)

Now,

ab =  \sqrt{ {(x2 - x1)}^{2}  + (y2 - y1) ^{2} }  \\  \:  \:  \:  =  \sqrt{ {(6 - 0)}^{2} +  {(3 - 0)}^{2}  }  \\  \:  \:  \:  =  \sqrt{ {(6)}^{2}  + {(3)}^{2} }  \\  \:  \:  \:  \:  =  \sqrt{36 + 9}  \\  \:  \:  \:  \:  =   \sqrt{45}  \\  \:  \:  \:  = 3 \sqrt{5 }  \: units

Hope this helps...

Good luck on your assignment..

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The polynomial x2 + 7x – 44 can be factored.
Virty [35]

Answer:

(x-4)(x+11)

Step-by-step explanation:

(x-4)(x+11)

x^2-4x+11x-44

x^2+7x-44

Ding Dong!

5 0
3 years ago
A rescue helicopter flew from its home base for 35 kilometers on a course of 330 degrees to pick up an accident victim. It then
artcher [175]
I've drawn a triangle to represent the journey (see attached.

The angle from Home to Victim to Hospital is:

a = 90 - (360 - 330) = 90- 30 = 60^o

Using the cos rule, we can solve for the length x:

a^2 = b^2 +c^2 - 2bccosA&#10;\\x^2 = 35^2+25^2-2(35)(25)cos60&#10;\\x^2 = 1850 - 875&#10;\\x^2 =  975&#10;\\x =  \sqrt{975}&#10;\\x = 31.2249...

Using the cos rule, we can solve for angle b:

a^2 = b^2 +c^2 - 2bccosA&#10;\\35^2 = 31.22...^2+25^2-2(31.22...)(25)cosb&#10;\\1225 = 975 + 625 - 1561.249...cosb&#10;\\-375 = -1561.249...cosb&#10;\\b = cos^{-1}( \frac{-375}{-1561.249...}) &#10;\\b = 76.1...

So the bearing the helicopter has to travel is:

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5 0
3 years ago
Someone claims that the breaking strength of their climbing rope is 2,000 psi, with a standard deviation of 10 psi. We think the
denpristay [2]

Answer:

The sample size must be greater than 37 if we want to reject the null hypothesis.

Step-by-step explanation:

We are given that someone claims that the breaking strength of their climbing rope is 2,000 psi, with a standard deviation of 10 psi.

Also, we are given a level of significance of 5%.

Let \mu = <u><em>mean breaking strength of their climbing rope</em></u>

SO, Null Hypothesis, H_0 : \mu = 2,000 psi       {means that the mean breaking strength of their climbing rope is 2,000 psi}

Alternate Hypothesis, H_A : \mu < 2,000 psi      {means that the mean breaking strength of their climbing rope is lower than 2,000 psi}

Now, the test statistics that we will use here is One-sample z-test statistics as we know about population standard deviation;

                         T.S.  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = ample mean strength = 1,997.2956 psi

            \sigma = population standard devaition = 10 psi

            n = sample size

Now, at the 5% level of significance, the z table gives a critical value of -1.645 for the left-tailed test.

So, to reject our null hypothesis our test statistics must be less than -1.645 as only then we have sufficient evidence to reject our null hypothesis.

SO,  T.S. < -1.645   {then reject null hypothesis}

         \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < -1.645

         \frac{1,997.2956-2,000}{\frac{10}{\sqrt{n} } } < -1.645

         (\frac{1,997.2956-2,000}{10}) \times {\sqrt{n} } } < -1.645

          -0.27044 \times \sqrt{n}< -1.645

               \sqrt{n}> \frac{-1.645}{-0.27044}

                 \sqrt{n}>6.083

                  n > 36.99 ≈ 37.

SO, the sample size must be greater than 37 if we want to reject the null hypothesis.

7 0
3 years ago
Need help please , I know the basic math. how do I solve this?
Mkey [24]
(7/15)/(3/5)
easy
(a/b)/(c/d)=(a/b)(d/c)
invert and multiply (what it does is it cancels the bottom and makes it one)
(7/15)/(3/5)=(7/15)(5/3)=35/45=7/9

answer is C
3 0
2 years ago
Read 2 more answers
Pls need help ASAP been stressing need in 10 mins
TEA [102]

Answer:

It's choice 2.

Step-by-step explanation:

The nth value is 1 more than twice the previous value

- for example,  15 = 2*7 + 1.

7 0
3 years ago
Read 2 more answers
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