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3 years ago

Which equation represents the line that is perpendicular to and passes through (-6,-9)?

Mathematics

1 answer:

Scilla [17]3 years ago

6 0

Answer:

y = -9

Step-by-step explanation:

Complete question;

Which equation represents the line y = 1/4 that is perpendicular to and passes through (-6,-9)?

The equation of the line in point slope form is y-y0 = m(x-x0)

Given the equation y = 1/4, the slope of the line is zero

Substitute the slope and the point into the formula;

y -(-9) = 0(x-(-6)

y + 9 = 0

y = -9

Hence the required equation is y = -9

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Please help thanks!!

Sidana [21]

So for this, you will be doing two different multiplications: 3 x 4 and √8 x √3.

3 x 4 = 12

√8 x √3 = √24

Now our result is 12√24, however, this can be simplified. Using the product rule of radicals (√ab = √a x √b), our simplification is such:

12√24 = 12√(8 x 3) = 12√(4 x 2 x 3) = 2 x 12√(2 x 3) = 24√6

In short, the answer is 24√6, or the first option.

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3 years ago

What kind of angel is it?

LenKa [72]

Answer:

90°> =Acute

90°< =Obtuse

(90°= )= Right

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3 years ago

What is the measure of DEF? Pls help me asap

Yakvenalex [24]

Step-by-step explanation:

3y +4 =5y -10

2y = 14

y = 7

DEF = (3Y+4)× 2 OR (5Y-10) ×2 OR (5Y-10+ 3Y+4)

Def= (3 ×7+4)×2

=50 degree

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2 years ago

A nurse collected data about the average birth weight of babies in the hospital that month. Her data is shown using the dot plot

mixer [17]

Answer:

The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Step-by-step explanation:

The data provided is as follows:

X Frequency

8 0

8.1 0

8.2 2

8.3 2

8.4 2

8.5 3

8.6 0

8.7 1

8.8 0

8.9 1

9 0

So, the actual data is:

S = {8.2 , 8.2 , 8.3 , 8.3 , 8.4 , 8.4 , 8.5 , 8.5 , 8.5 , 8.7 , 8.9 }

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

Minimum (shown at the bottom of the chart)
First Quartile (shown by the bottom line of the box)
Median (or the second quartile) (shown as a line in the center of the box)
Third Quartile (shown by the top line of the box)
Maximum (shown at the top of the chart).

The data set is arranged in ascending order.

The minimum value is, Min. = 8.2

The lower quartile is,

$[\frac{n+1}{4}]^{th}\ obs.=[\frac{11+1}{4}]^{th}\ obs.=3^{rd }\ obs. =8.3$ ,

Q₁ = 8.3.

The median value is,

$[\frac{n+1}{2}]^{th}\ obs.=[\frac{11+1}{2}]^{th}\ obs.=6^{th}\ obs.=8.4$

Median = 8.4

The upper quartile is,

$[\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(11+1)}{4}]^{th}\ obs.=9^{th }\ obs. =8.5$ ,

Q₃ = 8.5.

The maximum value is, Max. = 8.9.

So, the values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

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3 years ago

The safety inspector in a large city wants to estimate the proportion of buildings in the city that are in violation of fire cod

storchak [24]

Answer:

Check Explanation.

Step-by-step explanation:

The sample will be a representative of the entire build us in the city.

For a sample size 35, 3 have fire code violations, hence, the proportion of houses with fire code violations = (3/35) = 0.0857 = 8.57 %

The uncertainty in the estimate is given in the form of standard error.

Standard error = √[(p(1-p)/n]

n = sample size = 35, p = 0.0857, 1 - p = 0.9143

Standard error of the sample = √(0.0857×0.9143/35) = 0.1616

In terms of the population, (0.1616/35) = 0.00462

Proportion of buildings with fire code violations = (8.57 ± 0.462) %

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3 years ago