All categories

3 years ago

What is the equation of the line that passes through the point (-5,7) and has a slope of -1/5

Mathematics

1 answer:

RoseWind [281]3 years ago

4 0

Answer:

y=-1/5x+6

Step-by-step explanation:

y-b=m(x-a)

×5) y-7=-1/5(x--5) (×5

5y-35=-1(x+5)

5y-35=-x-5

5y=-x+30

y=-1/5x+6

You might be interested in

The science club is raising money for a trip to the museum. Tickets to the museum cost $8. Five students already have a membersh

AnnZ [28]

The answer is 42 students were in the club

6 0

3 years ago

Plutonium-240 decays according to the function Q(t) = Qoe^-kt

LuckyWell [14K]

Answer:

9990 years

Step-by-step explanation:

The exponential function with given values filled in can be solved for the unknown using logarithms.

Q(t) = 12 = 36e^(-0.00011t)

1/3 = e^(-0.00011t) . . . . . . divide by 36

ln(1/3) = -0.00011t . . . . . . take natural logs

t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t

t ≈ 9990 . . . years

5 0

2 years ago

What is the probability of picking a purple marble and rolling an odd number?

Lostsunrise [7]

5/11 for the marble and ½ for dice

6 0

2 years ago

Read 2 more answers

The length of a swimming pool is 3 feet longer than it’s width. The swimming pool is surrounded by a deck that is 2 feet wide an

Firlakuza [10]

Answer:

The Length of swimming pool is 8.35 feet

The width of swimming pool is 5.35 feet

Step-by-step explanation:

Given as :

The length of swimming pool is 3 feet longer that its width

Let The width of swimming pool = w feet

So, The Length of swimming pool = L = (w + 3) feet

Now, The swimming pool is surrounded by deck of 2 feet wide

The width of deck = w' = w + 2 + 2 = (w + 4) feet

The area of deck = 116 feet²

The length of deck = L' = L + 2 + 2 = (L + 4) feet

So, L' = (w + 3 + 4) feet

I.e L' = (w + 7) feet

∵ The area of deck = 116 feet²

So , L' × w' = 116 feet²

(w + 7)× (w + 4) = 116

Or, w² + 4 w + 7 w + 28 = 116

Or, w² + 11 w - 88 = 0

Solving the quadratic equation as

ax² + bx + c = 0

So, w = $\dfrac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, w = $\dfrac{-11\pm \sqrt{11^{2}-4\times 1\times (-88)}}{2\times 1}$

Or, w = $\dfrac{-11\pm \sqrt{473}}{2}$

or, w = $\dfrac{-11\pm 21.7}{2}$

or, w = 5.35 , -16.35

The width of swimming pool = w = 5.35 feet

The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet

Hence, The Length of swimming pool is 8.35 feet

And The width of swimming pool is 5.35 feet

Answer

3 0

3 years ago

3x - 2(6 - x) = 7x + 2(5 + x) - 6<br> What is the answer

mafiozo [28]

Answer:

x= -4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers