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4vir4ik [10]
3 years ago
9

Find the distance between the points 3,7 and 15, 12 on the coordinate plane?

Mathematics
1 answer:
lana [24]3 years ago
8 0
\text{Distance } = \sqrt{ (x_2 -x_1)^2 + (y_2 - y_1)^2}

\sqrt{ \left( 15 -  3\right)^2 +  \left( 12 -  7\right)^2}\\\\\sqrt{\left( 12\right)^2  + \left( 5\right)^2}\\\\\sqrt{    144  +   25 }\\\\\\ \sqrt{   169 } = \boxed{\bf{ 13}}
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Stacy fails 1/2 cup measuring cup seven times to have enough flour for cake recipe how much flour does the cake recipe call for
Gala2k [10]
7 times of 1/2 cup  = 7 x 1/2
7 times of 1/2 cup  = 7/2
7 times of 1/2 cup  = 3 1/2 cups.

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The recipe called for 3 1/2 cups of flour
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3 0
3 years ago
PLEASE HELP I’LL GIVE BRAINLIST.
kolezko [41]

Answer:

2/6 is probably your answer

Step-by-step explanation:

5 0
3 years ago
Fritz benjamin buys a car costing $12300. He agrees to make payment at the end of each month period for 8 years. He pays 7.2% in
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4 0
3 years ago
Use the method of reduction of order to find a second independent solution of the given differential equation. t2y'' + 3ty' + y
Charra [1.4K]

I assume you mean y_1=t^{-1}, and not y_1=t-1, since this doesn't satisfy the ODE.

Assume a second solution of the form y_2=vy_1, where v is a function of t. Then

{y_2}'=v'y_1+v{y_1}'

{y_2}''=v''y_1+2v'{y_1}'+v{y_1}''

Substituting into the ODE gives

t^2\left(\dfrac{v''}t-\dfrac{2v'}{t^2}+\dfrac{2v}{t^3}\right)+3t\left(\dfrac{v'}t-\dfrac v{t^2}\right)+\dfrac vt=0

\implies tv''+v'=0

\implies(tv')'=0

\implies tv'=C

\implies v'=\dfrac Ct

\implies v=C_1\ln|t|+C_2

\implies y_2=\dfrac{\ln t}t

where we omit the second term because it's already accounted for by y_1.

3 0
3 years ago
The atmospheric pressure at sea level is 14.7 lb/in2. This pressure is reduced by half for each 3.6 miles above sea level. Which
Nina [5.8K]
It could be a linear graph with a negative slope 
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so there willbe a point  at (0,14.7) on y axis representing the pressure at sea level. There will be another point at (3.6, 7.35) where  air pressure is half that at ground level. The straight line will continue until it reaches the x axis  ad (0, 7.2)  where there is no air pressure.
4 0
3 years ago
Read 2 more answers
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