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Ulleksa [173]
3 years ago
5

Find the distance

Mathematics
1 answer:
Vlad [161]3 years ago
7 0

Answer:

6.3

[If (3.8) was suppose to be (3,8)]

Step-by-step explanation:

d =  \sqrt{ (x_{2}- x_{1})^{2}  + (y_{2} - y _{1})^{2}  } \\ d =  \sqrt{ (8 - 2)^{2} +  (3 - 1)^{2}} \\ d =  \sqrt{36 + 4}  \\ d =  \sqrt{40}  \\  d = 6.324... \\ d = 6.3

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Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 8 + 48?
larisa86 [58]
It has to be the third option 8(1+6) because 8+48= 56 and 8(1+6)= 56 
4 0
3 years ago
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Over the summer, for every 14 okra seeds Dana planted, 9 grew into plants. If he planted 210 okra seeds, how many grew into plan
Katena32 [7]
210s(9p/14s)=135p

So 135 seeds grew into plants.
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4 years ago
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Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π
lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0
2 years ago
IM DONE WITH THIS STUPID THING 50 POINTS TO THE PERSON WHO GETS IT ALL CORRECT.
soldi70 [24.7K]
I underlined the numbers you needed
3 0
3 years ago
• Write an expression for the perimeter of a
Ksenya-84 [330]

Answer:

10 (X+1)

Step-by-step explanation:

Length = 2x + 5

Width = 3x

Perimeter of rectangle= 2(L + W)

P= 2\times (2x+5+3x)

P= 2\times (5x+ 5)

Now, taking 5 as common

P= 2\times 5 (x + 1)

∴ Perimeter of rectangle= 10\times (x+1)

6 0
3 years ago
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