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Misha Larkins [42]
3 years ago
7

If point A is located at (-7,5) on a coordinate plane and point B is located at (4,5), what is the distance between the two poin

ts?
Mathematics
2 answers:
34kurt3 years ago
8 0

Answer: 11 units

Step-by-step explanation:

The distance between points P(a,b) and Q(c,d) is given by :-

d=\sqrt{(d-b)^2+(c-a)^2}

Similarly , the distance between the two points (-7,5) and (4,5) is given by :-

d=\sqrt{(5-5)^2+(4-(-7))^2}\\\\\Rightarrow\ d=\sqrt{0+(11)^2}=11

Hence, the the distance between the two points = 11 units

Svet_ta [14]3 years ago
3 0
I believe it's 13 units.
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2 years ago
A golfball is hit from the ground with an initial velocity of 200 ft/sec. The horizontal distance that the golfball will travel,
algol13

Answer:

The golfball launched with an initial velocity of 200ft/s will travel the maximum possible distance which is 1250 ft when it is hit at an angle of \pi/4.

Step-by-step explanation:

The formula from the maximum distance of a projectile with initial height h=0, is:

d(\theta)=\frac{v_i^2sin(2\theta)}{g}

Where v_i is the initial velocity.

In the closed interval method, the first step is to find the values of the function in the critical points in the interval which is [0, \pi/2]. The critical  points of the function are those who make d'(\theta)=0:

d(\theta)=\frac{v_i^2\sin(2\theta)}{g}\\d'(\theta)=\frac{v_i^2\cos(2\theta)}{g}*(2)\\d'(\theta)=\frac{2v_i^2\cos(2\theta)}{g}

d'(\theta)=0\\\frac{2v_i^2\cos(2\theta)}{g}=0\\\cos(2\theta)=0\\2\theta=\pi/2,3\pi/2,5\pi/2,...\\\theta=\pi/4,3\pi/4,5\pi/4,...

The critical value inside the interval is \pi/4.

d(\theta)=\frac{v_i^2sin(2\theta)}{g}\\d(\pi/4)=\frac{v_i^2sin(2(\pi/4))}{g}\\d(\pi/4)=\frac{v_i^2sin(\pi/2)}{g}\\d(\pi/4)=\frac{v_i^2(1)}{g}\\d(\pi/4)=\frac{(200)^2}{32}\\d(\pi/4)=\frac{40000}{32}\\d(\pi/4)=1250ft

The second step is to find the values of the function at the endpoints of the interval:

d(\theta)=\frac{v_i^2sin(2\theta)}{g}\\\theta=0\\d(0)=\frac{v_i^2sin(2(0))}{g}\\d(0)=\frac{v_i^2(0)}{g}=0ft\\\theta=\pi/2\\d(\pi/2)=\frac{v_i^2sin(2(\pi/2))}{g}\\d(\pi/2)=\frac{v_i^2sin(\pi)}{g}\\d(\pi/2)=\frac{v_i^2(0)}{g}=0ft

The biggest value of f is gived by \pi/4, therefore \pi/4 is the absolute maximum.

In the context of the problem, the golfball launched with an initial velocity of 200ft/s will travel the maximum possible distance which is 1250 ft when it is hit at an angle of \pi/4.

4 0
3 years ago
Multiply and Divide Whole Numbers explain what to do and how to do it
rodikova [14]
Multiplication is a simple way of adding
For example 6x8 is the same as 8+8+8+8+8+8

Any number multiplied by 1 is itself E.g 4x1 = 4

Multiplying by 2 is just doubling

Multiplying by 10 is adding a 0 to the original number

If it is a big number that you do not know how to multiply mentally split it up
E.g 17x13
Split 13 into 10 and 3
17x10= 170
17x3= 51
Then add these numbers
221

If you ever get stuck, use the long method, add them instead, you will get to the right answer but it will take longer

Dividing is not as simple
Like multiplication dividing by one will leave you with the same answer

Dividing by two means you half the number, which may give you a decimal

Bigger numbers are trickier, and you may be allowed to use a calculator for numbers
Below are a number of links, these websites will teach you how to improve your multiplication and division skills:

http://www.bbc.co.uk/schools/gcsebitesize/maths/number/decimalsrev3.shtml

https://m.youtube.com/watch?v=XiXeu9FxAcQ

https://www.tutorialspoint.com/multiply_and_divide_whole_numbers/multiplication_as_repeated_addition.htm


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