A web designer is placing images on a website using polar coordinates along the lines shown in the diagram. Assume that the intersection of the lines is the pole and the right horizontal segment is the polar axis.
Which equations represent the lines on which the designer places the images? Check all that apply.​

Answer:

8.9 meters

Step-by-step explanation:

this seems like a problem where you can use the pythagorean theorem:

you know one of the two legs (6m) and  the hypotenuse (9m), you must find the other leg

a^2 + 6^2 = 9^2

a^2 + 36 = 81

a^2 = 45

a = [tex]\sqrt{45}[/tex] or [tex]\sqrt{9}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to be 3[tex]\sqrt{5}[/tex] or approx. 8.9 meters

Answer:

Quotient: 56 Remainder: 3

Answer:

cross multiplication

Step-by-step explanation:

1 5n

_ _

_

r= 18/1+b

B= -1 + 18/r

Answer:

14c-16

Step-by-step explanation:

Answer:

14c - 16

Step-by-step explanation:

2( 7c - 8 )  All you do is distribute:

14c - 16

Ace

Answer:

(helps)

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

7(3) - 4

21 - 4

17

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer:

m = -12

Step-by-step explanation:

Formula:

m = (y2 - y1) / (x2 - x1) => plug in points

(4,-5) and (3,7)

The required equation that models the bee population (b) is y = 2000x + 500

The equation of a line in slope-intercept form is expressed as y = mx + b

where;

Using the coordinate points on the graph (2, 2000) and (3, 4000)

Get the slope of the line

[tex]m=\frac{4000-2000}{3-2}\\m=\frac{2000}{1}\\m=2000[/tex]

Since one of the coordinate points lies on the y-axis at (0, 500), hence the y-intercept is 500.

The required equation that models the bee population (b) is y = 2000x + 500

Learn more on equation of a line here: https://brainly.com/question/13763238

Answer:

1. x = 6 cm

2. The coordinates of the x-intercept are (-15.798879, 0) and (8.177004, 0)

b) The maximum value of is y is approximately 459.874

The value of 'x' for which the maximum occurs is x is -3.8109375

c) 'k' is approximately -15.63748 or 'k' is approximately 8.0156

Step-by-step explanation:

1. The area of rectangle ABCD - Area of triangle ABP = 114 cm²

Therefore, we have;

The area of rectangle ABCD = (2·x - 3)·(3·x + 1)

∴ The area of rectangle ABCD = 6·x² + 2·x - 9·x - 3 = 6·x² - 7·x - 3

The area of triangle ABP = 1/2 × (3·x + 1)·x = 3·x²/2 + x/2

The area of rectangle ABCD - Area of triangle ABP = 6·x² - 7·x - 3 - 3·x²/2 - x/2

6·x² - 7·x - 3 - 3·x²/2 + x/2 = 9·x²/2 - 13·x/2 - 3 = 114

9·x²/2 - 15·x/2 - 3 = 114

9·x² - 15·x - 6 - 228 = 0

9·x² - 15·x - 234 = 0

x = (15 ± √((-15)² - 4 × 9 × (-234)))/(2 × 9) = (15 ± 93)/18

∴ x = 6 or x = -13/3

Given that x is a natural number, we have that x = 6 cm

2. The given equation is 'y = -3.2·x² - 24.39·x + 413.4'

Therefore, we have;

The x-intercept are the values of 'x', where the value of 'y' is 0

Therefore, we have, at the x-intercept;

y = 0 = -3.2·x² - 24.39·x + 413.4

By the quadratic formula, we have;

x = (24.39 ± (√((-24.39)² - 4×(-3.2)×413.4)))/(2 × (-3.2))

x ≈ -15.798879 or x ≈ 8.177004

The coordinates of the x-intercept are;

(-15.798879, 0) and (8.177004, 0)

b) The maximum is given at dy/dx = 0

Therefore, at the maximum point, we have;

dy/dx = d(-3.2·x² - 24.39·x + 413.4)/dx = -6.4·x - 24.39 = 0

dy/dx = -6.4·x - 24.39 = 0

∴ x = 24.39/(-6.4) = -3.8109375

x = -3.8109375 at the maximum point

At the maximum point, we have;

y = -3.2·x² - 24.39·x + 413.4 = -3.2·(-3.8109375)² - 24.39·(-3.8109375) + 413.4 ≈ 459.874

y ≈ 459.874

Therefore, the maximum value of 'y' is given as follows

[tex]y_{max}[/tex]  ≈ 459.874

The value of 'x' for which the maximum occurs is x = -3.8109375

c) The coordinate of the point is (12.3, k), therefore, we have;

y = -3.2·x² - 24.39·x + 413.4

When y = 12.3, therefore, -3.2·x² - 24.39·x + 413.4 = 12.3

-3.2·x² - 24.39·x + 413.4 = 12.3

-3.2·x² - 24.39·x + 413.4 - 12.3 = -3.2·x² - 24.39·x + 401.1 = 0

By the quadratic formula, we have;

x = (24.39 ± √((-24.39)² - 4×(-3.2)×401.1))/(2 × (-3.2))

x ≈ -15.63748 or x ≈ 8.015600

Therefore, k ≈ -15.63748 or k ≈ 8.015600

I performed a transcriptome analysis (Clariom D Array, Affymetrix) of two groups of subjects (human tissue) by using Transcriptome Analysis Console (TAC; Affymetrix) and Partek software and same cutoff (n=20; FC greater than 1.5 and P value less than 0.05). However, the overlap between differential expressed genes between both software was quite low.

someone has some comment about why this may be happening?

Answer:

simplified: (16/81)

rewritten: (2/3)^4

Step-by-step explanation:

hope this helps! if wrong you can delete it :)

Answer:

The correct answer is 9.15625

✧brainliest appreciated✧

Answer:

9.15625

Step-by-step explanation:

step 1- Convert the proper fraction to decimal: Divide the numerator by the denominator: 5 ÷ 32 = 0.15625

step 2- Add this decimal number to the whole number of the mixed fraction: 9+ 0.15625 = 9.15625

Therefore, the mixed number 9 5/32 converted to decimal number is: 9.15625

(can i get brainliest)

Answer:

3b/4a²

Step-by-step explanation:

3a²*4b³/16(a²b)²

12a²b³/16a⁴b²

12b/16a²

3b/4a²

Answer:

7/12 lb of sugar.

Step-by-step explanation:

first we add 1 2/3 and 2 3/4, which will give you 4 5/12 then subtract 5 lb by 4 5/12 and your answer will be 7/12

Answer:

A 14-ounce package that costs $5.46

Step-by-step explanation:

hope it helps ;)

Answer:

y = (-x + 8)/6

Step-by-step explanation:

y =6x-7

gradient of perpendicular to the line above is -1/6.

using the point (8,3)

y - y1 = m(x - x1)

y - 3 = -1/6(x - 8)

6y-18 = -1(x - 8)

y = (-x + 26)/6

Answer: The X intercepts are 5 and -3/2

Answer:

See explanation

Step-by-step explanation:

The question is incomplete. However, I'll solve on a general terms.

Since the robin, seagull and fish are on directly below one another; a possible question could be to calculate the distance between the robin and the clownfish

The given parameters are:

[tex]Robin = +40ft[/tex]

[tex]Seagull= +13ft[/tex]

[tex]Clownfish= -33ft[/tex]

+ represents above sea level while i represents below

The distance is then calculated as:

[tex]Distance = Robin - Clownfish[/tex]

[tex]Distance = +40ft - (-33ft)[/tex]

[tex]Distance = +40ft +33ft[/tex]

[tex]Distance = 73\ ft[/tex]

Answer:

Quotient: 2

Remainder: 0

50 = 25 × 2 + 0

Step-by-step explanation:

Answer:0.516

Step-by-step explanation:You need to divide 29.25 by 50.25.

Answer:

Step-by-step explanation:

for this problem u need the unit circle.

In the unit circle there is a point with -1/2 as the x value that is at 240 degrees.

then you convert 240 degrees to radians --> 240 X pi/180 = 4.189

the unit circle is below, you needa remember for the test

Good luck on your EOC, i'm doing it too

Answer:

Last one

Step-by-step explanation:

The slope intercept form is: y=mx +b

m=the slope and b is the y intercept

so it would be the last one

Answer:

Length of the ladder = 9.5 feet

Step-by-step explanation:

Point A of ladder AC is at 9 ft from the ground and point C is 3 feet from the base of the wall,

AB = 9 feet

BC = 3 feet

By applying Pythagoras theorem in the right triangle,

AC² = AB² + BC²

AC² = 9² + 3²

AC² = 81 + 9

AC = √90

     = 9.486 feet

     ≈ 9.5 feet

Therefore, length of the ladder is 9.5 feet.

The interior angle of any triangle sum to 180° in measure, so that angle ACB has measure

m∠ACB = 180° - 67° - 35° = 78°

Angles ACB and BCD are supplementary because they occur on the same ray AD, which means they also sum to 180° in measure. Then angle BCD has measure

m∠BCD = 180° - 78° = 102°

Answer:

102 degrees

Step-by-step explanation:

for this problem, add the angles given to 180 degrees to find the remaining angle ACB in the triangle. Once you have that angle, you can subtract it from 180 degrees to find BCD, because side ACD is straight. By adding Angle CAB (67 degrees) and Angle ABC (35 degrees), you end up with the missing 98 degrees to reach 180 degrees. thus, when subtracting to find BCD on the straight of ACD, a value of 102 degrees remains for Angle BCD

Therefore, when we draw the slope of line then the slope of corresponding line segment in the preimage and image apply about the line segments both are equal.

What is the slope of line?

The slope of a line is its vertical change divided by its horizontal change, also known as rise over run.

When the two or more line segments that have the same slope are parallel to each other.So, the lines graphed by a system of equation is also same slope which would be parallel to each other.

Hence, when we draw the slope of line then the slope of corresponding line segment in the preimage and image apply about the line segments both are equal.

To know more about the slope

https://brainly.com/question/1220338

#SPJ2

Answer:

parallelism

Step-by-step explanation:

I'm just looking also the answer!

Answer:

D

Step-by-step explanation:

Just took the quiz

The confidence interval that  would produce the widest interval when estimating the mean of a population should be 83%.

It refers to the range of values where the sample should be watched also in this the value should be determined that correctly represent the population.

Also, the more the confidence interval the more should be the widest interval.

Therefore, the last option is correct.

Learn more about confidence here: https://brainly.com/question/14634922

Answer: It is a strong positive correlation,and it is not likely causal.

Step-by-step explanation: Correlation Coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.with negative values depicting a negative relationship and positive values showing positive relationship. Value of 0 implies that, no relationship exists. The closer the correlation Coefficient value is to +1 or - 1, the greater the strength of the relationship between them. Also correlation does not mean causation. Hence, a correlation coefficient of 0.74 depicts a strong positive relationship. However it doesn't imply causation.

The given correlation is strong positive correlation,and it is not likely causal.

We have given that,

The correlation coefficient relating the two variables is 0.74.

Correlation coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.

The correlation coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.

with negative values depicting a negative relationship and positive values showing positive relationship.

The value of 0 implies that, no relationship exists.

The closer the correlation coefficient value is to +1 or - 1, the greater the strength of the relationship between them.

Also correlation does not mean causation.

Hence, a correlation coefficient of 0.74 depicts a strong positive relationship.

However it doesn't imply causation.

We have the given correlation coefficient relating the two variables is 0.74 and it is near +1

Therefore,the given correlation is strong positive correlation,and it is not likely causal.

To learn more about the correlation coefficient visit:

https://brainly.com/question/4219149