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Umnica [9.8K]
3 years ago
12

Find the distance between these points. r(-1, 0), s(8, 6)1-√(26)2-√(85)3-3√(13)

Mathematics
1 answer:
bixtya [17]3 years ago
6 0
Distance between two points, d, is given by
d= \sqrt{ ( x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2} }

where: (x1, y1) = (-1, 0) and (x2, y2) = (8, 6)
d= 
\sqrt{ ( 8 - (-1)) ^{2} + (6 - 0) ^{2} } \\ d= \sqrt{ (9)^{2} + 6^{2} }  
\\ d= \sqrt{81+36}  \\ d= \sqrt{117}  \\ d=10.8 \ units

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What is the answer to this problem (x+3)(x+5)
klasskru [66]
Easy, showing work,

using the method FOIL (First,Outer,Inner, Last)

Take, (x+3)(x+5) and multiply,

First,

x*x=x^{2}

Outer,

x*5=5x

Inner,

3*x=3x

Last,

3*5=15

Add the terms together,

x^{2}+8x+15   (x^{2}+5x+3x+15)

Thus, your answer.
4 0
3 years ago
Read 2 more answers
A credit card has a balance of $2,150.00 with an annual percentage rate of 22.9%. How much interest is charged in a one-month bi
Sever21 [200]

Answer: $3.42

Step-by-step explanation:

Interest= Principal x Rate x Time

From the question, Principal =$2,150

Rate= 22.9% annually means per year, to calculate the monthly rate, we divide by 12

=22.9%/12 = 1.908% per month

Time = one month, meaning one month out of 12months = 1/12

I is therefore: 2150 x 1.908% x 1/12

= 2150 × 0.01908 x 0.0833

=$3.42

I hope this is clear, please mark as brainliest answer.

8 0
3 years ago
How do i find the answer
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3 0
4 years ago
Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.
LuckyWell [14K]

Answer:

The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2  

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V = ∫∫∫ dzdydx  

dz has changed from zero to 12−3y^2  

dy has changed from zero to 2-x  

dx has changed from zero to 2  

V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =  

24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20

Step-by-step explanation:

8 0
4 years ago
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The equation would be y=7+3.5x
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