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3 years ago

What equation represents a line which is perpendicular to the line y=-2/5x + 5

Mathematics

1 answer:

Vilka [71]3 years ago

5 0

Answer: y = 5/2 x + 5 or more clearly: $y = \frac{5}{2}x+ 5$

Step-by-step explanation: Slope intercept form y = mx + b

m is the slope, b is the y-intercept

To write the equation for a perpendicular line

Both lines could share the y-intercept, (0,5) so the "b" term can be the same. But it may be different. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 2/5 to become 5/2 and change the negative sign to positive.

The resulting equation is y = 5x/2 + 5 or y = 2.5x + 5

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You measure 49 textbooks' weights, and find they have a mean weight of 54 ounces. Assume the population standard deviation is 11

earnstyle [38]

Answer:

= ( 50.66, 57.34)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 54 ounces

Standard deviation r = 11.7 ounces

Number of samples n = 49

Confidence interval = 95%

z(at 95% confidence) = 2

Substituting the values we have;

54+/-2(11.7/√49)

54+/-2(1.671428571428)

54+/-3.342857142857

54+/-3.34

= ( 50.66, 57.34)

Therefore, the 95% confidence interval (a,b)

= ( 50.66, 57.34)

Thanks

5 0

3 years ago

Edgar has a business painting Lines on the Highway. His workers can pay online 1/6 of my along every 10 minutes. At the end of a

geniusboy [140]

Answer:

8 miles

Step-by-step explanation:

In every 10 minutes, the workers paint 1/6 miles

Total number of minutes in 8 hours = 8 *60 = 480

Number of ten minutes in 480 minutes = 48

total miles of wine painted = 1/6 * 48 = 8 miles

3 0

2 years ago

If you construct a line perpendicular to line a given by Y=22 through S(1,5) not on the line Y=22 Find the distance from S to li

Citrus2011 [14]

The distance from the point S to the line A is B. 17.

Step-by-step explanation:

Step 1; First, we plot line A which is y = 22. Line A is a line that is parallel to the x-axis at a distance of 22 units. The coordinates for line A are (x, 22) which means the points on line A are (0, 22), (1, 22), (2,22), (3,22) and so on. We plot point S at (1, 5)

Step 2; If we draw a perpendicular line from point S to line A, it will be a vertical line that intersects line A at the same x coordinate as point S. So the points are S (1, 5) and (1, 22).

Step 3; To find the distance between (1, 5) and (1, 22), we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

Distance between (1, 5) and (1, 22) where (1, 5) is (x1, y1) and (1, 22) is (x2, y2).

Distance = √ (1 - 1)² + (22 - 5)² = √ 0 + 17² = √17² = 17 units.

7 0

3 years ago

Independent Practice

Eva8 [605]

Answer:

B. 57°F

Step-by-step explanation:

Given:

F = n/4 + 37

Where,

F = temperature in degrees Fahrenheit

n = number of times per minute crickets chirps

Find F when n = 80

F = n/4 + 37

F = 80/4 + 37

= 20 + 37

= 57

F = 57 °F

B. 57 °F

6 0

3 years ago

What is the slope of the line through (-4,2) and (3, 3)? "/ yo Choose 1 answer: 19 21 42 142 A А 7 5 B 7 5 5 7 5 7 e slope an

NNADVOKAT [17]

Answer:

1/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-2)/(3-(-4))

m=1/(3+4)

m=1/7

5 0

3 years ago