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Ostrovityanka [42]
3 years ago
11

Question 8 of 11

Mathematics
1 answer:
NeX [460]3 years ago
5 0
The answer should be 5 + 9i
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Write an equation of the line that is perpendicular to y=1/2x-3 and goes through the point (1,3)
Alex_Xolod [135]

Answer:

y = -2x + 5

Step-by-step explanation:

y=\frac{1}{2}x-3

Slope of this line m₁ = 1/2

Slope of the line perpendicular to this line = m₂

m₁ *m₂ = -1

m₂ = -1 *2/1 = -2

Slope  = -2; (1,3)

y- y₁ = m(x-x₁)

y - 3 = -2(x - 1)

y - 3 = -2x + 2

y = -2x +2 +3

y = -2x + 5

5 0
3 years ago
I am a quantity that can change or vary, taking on different values. Who am I?
Zigmanuir [339]
The answer is You are a variable
8 0
3 years ago
Read 2 more answers
Lupe bought 8 pounds of pretzels at a local wholesaler for $18. Her friend Charles bought 6 pounds of pretzels at the supermarke
Novay_Z [31]

Answer:

20

Step-by-step explanation:

Charle would have spent that much because one pound is 2.50

15 divided by 6=2.50

2.50x8=20

3 0
3 years ago
Read 2 more answers
Radioactive Waste The rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt,
Dmitry_Shevchenko [17]

Answer:

\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250

Step-by-step explanation:

Given:

T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

T =\displaystyle{\int^{\infty}_0 {50e^{-0.04t}} \, dt}

now we need to solve this integral!

T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}

T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0

T = \left|-1250e^{-0.04t}\right|^{\infty}_0

T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})

when any number has a power of negative infinity it is 0. because: a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0, like something being divided by a very large number!

T = (-1250(0))-(-1250e^0)

T = 1250

this is the total amount of waste

6 0
3 years ago
Which equation(s) represents proportional relationship(s) with a constant of proportionality equal to 2?
In-s [12.5K]

Answer:

y=2x

Step-by-step explanation:

6 0
3 years ago
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