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levacccp [35]
3 years ago
8

Calculate the distance between the points J=(-3, 2) and K=(2, -2) in the coordinate plane.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
4 0

Answer:

\sqrt{41}

Step-by-step explanation:

Hello!

In order to answer this question, we need to use the distance formula.

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The order of these points can be chosen in any way, but they need to be done in the same pair (just like when you find the slope).

For this problem, let's let the J pair be the x_2, y_2 pair and the K pair be the x_1,y_1 pair.

x_2 = -3

x_1 = 2

y_2 = 2

y_1 = -2

Now, let's plug these points in.

\sqrt{(-3-2)^2+(2-(-2))^2}

\sqrt{(-3-2)^2+(2+2)^2}

\sqrt{(-5)^2+(4)^2}

\sqrt{25+16}

\sqrt{41}

Thus, the distance between points (-3,2) and (2,-2) is \sqrt{41}.  

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A garden table and a bench cost $589 combined. The garden table costs $61 less than the bench. What is the cost of the bench?
Paul [167]

Answer:

The bench costs $350

Step-by-step explanation:

et the cost of the bench = x

 

the cost of the garden table = x + 94

 

x + (x + 94) = 794

 

2x + 94 = 794

 

2x = 700

 

x = 350

 

The bench costs $350 and the garden table costs 350 + 94 = $444

7 0
3 years ago
the formula y-y=m(x-x) is the point -slope from of the equation of a line where m is the slope of the line and (x,y) and ( x,y)
hodyreva [135]
(4,-2)(5,0)
slope(m) = (0 - (-2) / (5 - 4) = 2/1 = 2
there is going to be 2 possible answers...

y - y1 = m(x - x1)
now we sub

using points (4,-2)..... y -(-2) = 2(x - 4) =
y + 2 = 2(x - 4) <==

using points (5,0)....y - 0 = 2(x - 5) <==



8 0
3 years ago
Help me with C number please. Show me how did you do that. It’s due in 30 minutes.
Paha777 [63]
I’m not 100% sure but isn’t it x2 +xy +y2?
6 0
3 years ago
Read 2 more answers
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Katena32 [7]
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The unit rate is 0.63 miles.

Hope this helps!







6 0
3 years ago
Consider the problem $minimize$ $f(x)=x^4-1$. solve this problem using newton's method. start from $x_0=4$ and perform three ite
stellarik [79]
F(x)=x⁴-1
f'(x)=4x³
Newton’s Method: x[n+1]=x[n]-f(x[n])/f'(x[n]); x[n+1]=x[n]-(x[n]⁴-1)/4x[n]³
x₁=3.00390625
x₂=2.26215...
x₃=1.7182...

X'=X-(X⁴-1)/4X³=X-X/4+1/4X³ is a symbolic way of writing the recursive formula, where X' represents the next iteration.
When X'≈X, -X/4+1/4X³≈0; so X/4≈1/4X³; X≈1/X³, so X⁴≈1 and X⁴-1≈0. But this is f(x)≈0. Hence Newton’s Method converges to a solution.
The rate of change is x[n+1]-x[n]=-(x[n]⁴-1)/4x[n]³=x[n]/4-1/4x[n]³ or symbolically -X/4+1/4X³.
Note that the method converges to one solution. A different x₀ will possibly converge to the solution x=-1.
5 0
3 years ago
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