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Sophie [7]
3 years ago
5

Write the slope -intercept form of an equation of the line that passes through the given point and is parallel to the graph of t

he equation.
5,-5,3x+y=-2

A. y=10x+3
B. y=-3x+10
C. y=1/3x-10
D. y=-3x-10
Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Answer:

The equation of the required line in the slope-intercept form is

y = -3x + 10

Step-by-step explanation:

i) the required line passes through the point (5, -5)

ii) the required line is also parallel to the line 3x + y = -2 ⇒ y = -3x - 2

  Therefore the slope of the given line is -3.

  Therefore the slope of the required line is also -3

  The equation of the required line in the slope-intercept form is

  y - (-5) = -3(x - 5) ⇒ y + 5 = -3x + 15    ⇒      y = -3x + 10   ∴ 3x + y = 10.

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Answer:

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _______as the interval from the sample of size 100.

6 0
3 years ago
Para iniciar un negocio, una pareja pide $5.500.000 para comprar equipo y suministros. Si el préstamo tiene una tasa de 14% de i
Sunny_sXe [5.5K]

Answer:

They will have to pay $5,692,500 in 90 days.

Deben pagar $5,692,500 pagar al final de un período de 90 días.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years..

After t years, the total amount of money is:

T = E + P.

In this question:

P = 5500000, I = 0.14

3 months is 3/12 = 1/4 = 0.25 of an year. So t = 0.25

Then the interest accrued is:

E = P*I*t = 5500000*0.14*0.25 = 192500

What they will have to pay:

T = 192500 + 5500000 = 5692500

They will have to pay $5,692,500 in 90 days.

Deben pagar $5,692,500 pagar al final de un período de 90 días.

7 0
3 years ago
15% of the apple trees are red delicious apple trees. The orchard has 36 red delicious apple trees.
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Answer:

240

Step-by-step explanation:

240 times 0.15 (15%) is 36

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If a circle has an arc with the measure of 60° and the length of the arc is 50 in, what is the
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Answer: radius = 47.8 inches

Step-by-step explanation:

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Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

θ = 60 degrees

Length of arc = 50 inches

Therefore,

50 = 60/360 × 2 × 3.14 × r

Cross multiplying by 360, it becomes

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r = 18000/376.8

r = 47.8 inches

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