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3 years ago

Please provide the working outs as well as the answer. Many thanks

Mathematics

1 answer:

lana [24]3 years ago

4 0

$\dfrac{3w-5}{2}=w-3\ \ \ |multiply\ both\ sides\ by\ 2\\\\\not2^1\cdot\dfrac{3w-5}{\not2_1}=2\cdot w-2\cdot3\\\\3w-5=2w-6\ \ \ |add\ 5\ to\ both\ sides\\\\3w-5+5=2w-6+5\\\\3w=2w-1\ \ \ \ |subtract\ 2w\ from\ both\ sides\\\\3w-2w=2w-2w-1\\\\\boxed{w=-1}$

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What is the distance between the points (5,1) and (-3,-5)?<br>

Charra [1.4K]

Answer

$\boxed{10 \: \: units}$

Step by step explanation

Let the points be A and B

A ( 5 , 1 ) ⇒ ( x₁ , y₁ )

B ( -3 , -5 )⇒ ( x₂ , y₂ )

Now, let's find the distance between theses two points:

Distance = $\mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }$

Plug the values

$\mathsf{ \sqrt{ {( - 3 - 5)}^{2} + {( - 5 - 1)}^{2} } }$

Calculate

$\mathsf{ \sqrt{ { ( - 8)}^{2} + {( - 6)}^{2} } }$

Evaluate the power

$\mathsf{ \sqrt{64 + 36} }$

Add the numbers

$\mathsf{ \sqrt{100} }$

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$\mathsf{10 \: units}$

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The distance formula is used to determine the distance ( d ) between two points. If the co-ordinates of the two points are ( x₁ , y₁) and ( x₂ , y₂ ) , the distance equals the square root of x₂ - x₁ squared + y₂ - y₁ squared.

Hope I helped!

Best regards!

6 0

3 years ago

Help help help help plz

prisoha [69]

Answer:

Step-by-step explanation:

4 0

3 years ago

The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf b

levacccp [35]

Using function theory, the function that could represent this situation is

f(x) = |42. 67 – x| .

It is given that

The standard diameter of the golf ball = is 42.67

Allowable discrepancy = ±0.002

So upper limit of diameter = 42.672

The lower limit of diameter = 42.668

We need a function that can help in finding a discrepancy.

<h3>What is a function?</h3>

A function is a rule which determines the relation between two variables.

The correct function that could represent this situation will be

f(x ) = |42. 67 – x|

Where x is the diameter of the ball produced.

For example, if a ball of diameter 42.665 is produced

f(x) = |42. 67 – x|

f(42.665) = |42. 67 – 42.670| = 0.005 which is more than the permitted tolerance i.e 0.002.

So, one can easily decide whether to stop production or not.

Therefore, the function that could represent this situation is

f(x) = |42. 67 – x| .

To get more about function visit:

brainly.com/question/25638609

6 0

2 years ago

Help help help help help help help help help help please please please please please please please please please

hjlf

Answer:

i cant help bcoz i havent read this exercise yet

4 0

3 years ago

Simplify: 5d?(3d - 2)<br> A<br> 8d8 + 3d2<br> B.<br> 15d3 + 3d<br> C 15d3 - 10d2<br> D 8d3-10d?

Alenkasestr [34]

It’s 15d^2 -10d is that not an answer choice?

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2 years ago