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MaRussiya [10]
3 years ago
14

Which equation describes a line that passes through (-5,-8) and is perpendicular to y= 5/4x + 10

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0
Answer: y = -4/5x - 12

1. First find slope. Since you are trying to find a line perpendicular to y = 5/4x + 10, the slope would be the negative reciprocal of 5/4x.

slope = - 4/5x

2. plug in (-5,-8) and the slope of -4/5 to the point slope form equation
(y-y2) = slope (x-x2)

= y+8=-4/5(x+5)

3. solve and simply y+8=-4/5(x+5)

y = -4/5x - 12 is your answer
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a researcher at a major clinic wishes to estimate the proportion of the adult population of the united states that has sleep dep
Anna11 [10]

Answer:

The estimate of a population proportion is approximately 541.

Step-by-step explanation:

We can solve the the problem by using the formula for minimum sample needed for interval estimate of a population proportion which is given by the formula

n = pq ((Z/2) / E)^2

As, p is not defined so we use the standard p and q which is 0.5 and 0.5.

The reason for this is we have to choose form 0.1 to 0.9 both values of p and q, we will find the maximum value of pq occurs when they both are 0.5.

Next, we will find the value of (Z/2) by looking at the Z-table, we will find that at 98% confidence (Z/2) = 2.326. Now we start substituting the values in the above formula

n = (0.5)×(0.5) × (2.326/0.05)^2

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5 0
4 years ago
Simplify x to the 1/3 power (x to the 1/2 power + 2x to the 2 power )
OverLord2011 [107]

Answer:

x^(5/6) + 4(x^(7/3))


Step-by-step explanation:

Simplify x to the 1/3 power MULTIPLIED BY (x to the 1/2 power + 2x to the 2 power )


Simplify x^(1/3) × (x^(1/2) + (2x)^2)

= x^(1/3)(x^(1/2)) + x^(1/3)((2x)^2)

= x^(1/3+1/2) + 4(x^(1/3+2))

= x^(5/6) + 4(x^(7/3))


x^(1/3) is y such that y^3 = x

(x^(1/3) × x^(1/3) × x^(1/3)) = x^(1/3+1/3+1/3) = x^1 = x


x^(1/2) = √2 = y such that y^2 = x

(2x)^2 = 4x^2






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3 years ago
Noah earned w dollars over the summer. Mai earned x dollars, which is y dollars more than
Wewaii [24]

Answer:

Equation: x-w=y

Step-by-step explanation:

:)

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3 years ago
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frez [133]

Answer:

It should be the first one

Step-by-step explanation:

since positive ten would represent going further up and negative ten going further down, the diver would be within ten feet of her current position

8 0
3 years ago
Which expression calculates the speed in meters per second of an object that travels a distance of 100 m every 20 s?
QveST [7]
A. 100/20

The distance in meters should be divided by the time in seconds to get the value of the distance in meters travelled in one second.
8 0
3 years ago
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