find the obtuse angle the line y-2x=7 makes with the x- axis

Answers

Answer 1
In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to

tan θ =m, where m is the slope of the equation

In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.

y-2x=7
y = 2x+7
dy/dx = 2 =m

So,

tan θ = 2
θ = tan⁻¹(2)
θ = 63.43°

Related Questions

At a snack shop, Julie bought 1/3 of a pound of jelly beans for three quarters. What is the unit price of jelly beans at the snack shop?

Answers

9 quarters or $2.25 because if 1/3 of a pound is 3 quarters then 1 pound is 9 quarters because you have to multiply both of them by three.

Gabriel drives 80 kilometers in one hour. if he drives at the same speed, how many kilometers can he drive in 3.75 hours?

Answers

80/4=20 20/4=5  The answer to this problem is 300 Kilometer in 3.75 hours

Is it possible for two different inputs to give you the same output? Justify your answer please.

Answers

yes it is possible. input and outputs yayyyy
Yes it to is possible

find the greatest common factor of each set of numbers 24,30,42

Answers

the creates common factor for all of them is 6
The greatest common factor of 24,30,and 42 is 6
If you look at all their multiples the highest is 6

Find the percent of discount. Round to the nearest tenth. original price $24,365; selling price $16,820

Answers

24365x = 16820
x = 16820/24365
x(rounded to the nearest tenth) = 0.70

Answer:

The percentage of discount is 31.0 % ( approx )

Step-by-step explanation:

Given,

The original price = $ 24,365

Selling price = $ 16,820

Thus,

[tex]\text{The percentage of discount}=\frac{\text{Original-Selling price}}{\text{Original price}}\times 100[/tex]

[tex]=\frac{24365-16820}{24365}\times 100[/tex]

[tex]==\frac{7545}{24365}\times 100[/tex]

[tex]=\frac{754500}{24365}[/tex]

[tex]=30.9665503796\%[/tex]

[tex]\approx 31.0\%[/tex]

Show work please. If you need to

Answers

dishwasher:

1200*0.15 = 180

1200-180 =$1,020

area:

middle section 6x6 = 36

left triangle 6*6*0.5 = 18

right triangle Area=base x height/2 = 6x6/2 = 18


36 +18 +18 =

72 in^2

What is the relationship between the 6's in the number 6647

Answers

We can break down the number 6647 into:
6647=6000+600+40+7
The first 6 in the number is in the thousands place (6,000), and the second 6 is in the hundreds place (600). 
The first 6 is 10 times greater than the second one.

heartbeat takes 0.8 seconds.how many seconds is this written as a fraction?

Answers

0.8 = 8/10

simplified = 4/5 seconds

hope this helps
0.8 written as a fraction is 4/5

Which equation represents a linear function that has a slope of 4/5 and a y-intercept of –6?

Answers

Use the form y=mx+b where m is the slope and b is the y-intercept: y=4/5x-6

Answer:

y = 4/5x-6

Step-by-step explanation:

Edge 2020

Please Help...................

Answers

When you are multiplying numbers with exponents, you always add them.
(5^4) * (5^8)
5^(4+8)
5^12

Answer is 
A. 5^12
its going to be the first choice cause u have to add the exponet

answer 5 of the power of 12 or 5 exponet 12

x-1=5x+3x-8
help this confused child

Answers

x-1= 5x+3x-8

Combine like terms
x-1= 8x-8

Our goal is to isolate x by cancelling out other numbers.
Subtract x from both sides
x-1-x= 8x-x-8
-1= 7x-8

Add 8 to both sides
7=7x

Divide both sides by 7
1=x

Final answer: x=1

Help!

Which of the following is not a condition for a tessellation?

The shape or shapes must be repeated.
The shapes must not overlap.
There can be no gaps.
The shapes must be polygons.

Answers

Answer:

The shapes must be polygons.

Answer:

The shapes must be polygon

Step-by-step explanation:

did a test that was the answer, also if ur looking up answers for a test look them all up cuz im not big brain and a got a 72 thinking i was smart and knew how to do the questions

John and Jim painted a
fence John painted 1/4 of the fence and Jim painted 5/12 of the fence how much of the offense did they paint total

Answers

1/4+5/12=3/12+5/12=8/12=4/6=2/3

they painted 2/3 of the fence

Which scenario best matches the linear relationship expressed in the equation y = 32x + 80? (4 points)


a. Joseph has $80 in his bank account and spends $32 each day.
b. Joseph has $80 in his bank account and earns $32 each day.
c. Joseph had $32 in his bank account and deposited another $80.
d. Joseph has $32 in his bank account and earns $80 each day.

Answers

Each day the amount increases by $32 and at days=0 he had $80 so:

b. Joseph has $80 in his bank account and earns $32 each day.

HELP PLEASEEE I WILL GIVE BRAINLIEST ANSWER!!!!!!!!!!

The dot plot shows how many attempts it took for each student to complete a puzzle:


Is the median or the mean a better measure of center for these data and why?


 Mean, because the data are skewed and there are outliers

 Mean, because the data are symmetric and there are no outliers

 Median, because the data are skewed and there are outliers

 Median, because the data are symmetric and there are no outliers

Answers

The best answer is Mean, because the data are symmetric and there are no outliers

Answer:  Mean, because the data are symmetric and there are no outliers.

Step-by-step explanation:

The given dot plot shows how many attempts it took for each student to complete a puzzle.

From the given dot plot, we observe that it has no outlier and the data is symmetric.

Therefore , the mean is a better measure of center for these data because mean the data are symmetric and there are no outliers .

"If a data is skewed or has outliers, then we choose median to measure the center of data over mean."

what is an equivalent ratio

Answers

Equivalent ratios are two ratios that express the same relationship between numbers. We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number.

Two ratios that are equivalent means that they are equal to each other.

The table below shows the radius y, in inches, created by growing algae in x days: Time (x) (days) 5 10 15 20 Radius (y) (inches) 1 3 9 22 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and radius of the algae. [Choose the value of the correlation coefficient from 1, 0.94, 0.5, 0.02.] (4 points) Part B: What is the value of the slope of the graph of radius versus time between 5 and 10 days, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Answers

PART A:

The data is plotted in the graph below. The line best fit is drawn to show the trend of the data. Since the plots form a cluster that follows the line best fit and there are no outliers, the most likely coefficient is 0.94 which is a strong positive correlation.  

PART B:

The value of slope between x = 5 and x = 10 is
Slope = (3-1) ÷ (10-5) = 2/5

The slope represents the rate of change of the radius, which is 2/5 for every 5 days

PART C:

The data in the table represents correlation, that the algae grow longer as the days increase. It might not be necessary a causation because the growth of algae doesn't necessarily depend on the number of days.

I REALY NEED HELP!
A kite’s diagonals WY and ZX intersect at point V. Which of the following are true? Select all that apply.
1.)∠WVX = 90°
2.)∠ZVY = 90°
3.)WY is parallel to ZX
4.)WY is perpendicular to ZX
5.)WY = ZX

Answers

its 1 , 4, 5 thats the answers

Answer:  The correct options are

(1)∠WVX = 90°,

(2)  ∠ZVY = 90°

and

(4) WY is perpendicular to ZX .

Step-by-step explanation:  Given that WY and ZX are the diagonals of a kite that intersect at the point V.

We are to select the correct statements from the given options.

KITE: A quadrilateral having adjacent sides congruent and the diagonals bisect each other perpendicularly.

As shown in the attached figure, WY and ZX are the diagonals of the kite WZYX.

Since WY and ZX intersect at the point V, so they will bisect each other perpendicularly.

That is, WY is perpendicular to ZX. And, also

∠WVZ = ∠WVX = ∠ZVY = ∠XVY = 90°.

Since WZ is perpendicular to ZX, so they cannot be parallel.

Also, since the diagonals of a kite may not be equal, so WY ≠ ZX.

So, options (3) and (5) are incorrect.

Thus, the correct options are

(1)∠WVX = 90°,

(2)  ∠ZVY = 90°

and

(4) WY is perpendicular to ZX .

Of 480 students in a high school, 180 were in ninth year. What percent of the students in the school were in the ninth year

Answers

180/480 =0.375

0.375 = 37.5%

so 37.5% of kids are in 9th grade

The
6

students in Mrs. Flores' class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:

7, 10, 16, 8, 5, 13

Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth.

Answers

The median is nine (9). You add each number up, and then you divide by the amount of numbers you have. 
The mean is 9.83 according to my calculations. 

A wooden plank of length x is cut into 8 sections such that each section is at most 2 1/2 meters long. What is the length of the entire plank in meters?

Answers

5/2 * 8 = 40/2 = 20

x < = 20 meters ..ur answer

What is twice 2 to the 30 power? Write in exponents. Explain your reasoning

Answers

Twice 2 to the 30-th power is
2*2³⁰ = 2¹*2³⁰ = 2³¹

For very large numbers, it is the usual practice to use scientific notation.
From the calculator, obtain
2³¹ = 2.1475 x 10⁹

Answer:  2.1475 x 10⁹

Which transformation can verify congruence by sliding one triangle over another

Answers

Translation by moving the two shapes to the same points you can verify its congruence. 

7,005.9 rounded to the nearest one

Answers

One in this case is the 5 before the decimal point, so if you're rounding you look to the right and its a 9 so you would have to round one number up.

Answer: 7, 006

Hope this helps :)
Please give brainliest
the answer is 7,006 to the nearest one as 0.9 is over 0.5 so u go up and the one unit is the 5 so u round it up to 6 

answer=7006 to nearest one

brainliest g and thanks plz:))))))))))))

The graph below shows a system of equations:

Draw a line labeled y equals 2x minus 5 by joining the ordered pairs 0, negative 5 and 4, 3. Draw a line labeled y equals negative x minus 2 by joining the ordered pairs negative 3,1 and 3, negative 5

The x-coordinate of the solution to the system of equations is __________.

Answers

Answer is (1, -3) i think ?

The x-coordinate of the solution to the system of equations is 1 unit.

What is a system of equations?

"A 'system' of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables."

"A solution for a single equation is any point that lies on the line for that equation. A solution for a system of equations is any point that lies on each line in the system."

Since, the given equation are

[tex]y = -x - 2[/tex] ----------------------- eq 1

and [tex]y = 2x - 5[/tex]  -------------------eq 2

now solving them,

subtracting eq 2 from eq 1

we get,

3x = 3

x = 1  and y = -3

Hence, the x-coordinate of the solution to the system of equations is 1 and y coordinate is -3.

To know more about system of equation here

https://brainly.com/question/12895249

#SPJ2

what is the circumference of a circle

Answers

the circumference is the distance around the outside of a circle.

 If you know the radius you can use the formula

 circumference = 2 x PI x radius

 

Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ±5/6x.

Answers

Standard form equation of hyperbola is:
y² / a² + x² / b² = 1
Vertices are: ( 0, a ) and ( 0, - a ) so :  a = 10
Asymptotes are : y = +/- a/b x
a/b = 5/6
10/b = 5/6
5 b = 60
b = 60 : 5
b = 12
Answer:
y² / 100 + x² / 144 = 1

The calculated average of a data set best describes which of the following

A: Mean
B: Median
C:Mode
D:Mean Absolute Deviation

Answers

The calculated average of a data set best describes A: Mean.

Someone please help!!

Answers

To determine what the value of X is simply use the appropriate trigonometric ratio, which in this case is cos.

Cos 21 = 3/X
X • cos 21 = 3
X = 3/(cos 21)
X = 3.123 about 3.1

The value of X to the nearest tenth would be about 3.1.

Using synthetic division, how do you know if a given value is a root of a polynomial function?

Answers

When using synthetic division, if the answer has no remainder, it means it is a root of the polynomial function

Final answer:

A given value is a root of a polynomial function if, after using synthetic division, the remainder is zero. The remainder is found in the last position of the bottom row after performing synthetic division with the given value.

Explanation:

To determine if a given value is a root of a polynomial using synthetic division, follow these steps:

Write down the coefficient of the polynomial.

Place the value you want to test for being a root (let's call it 'c') to the left of the coefficients.

Bring down the leading coefficient to the bottom row.

Multiply 'c' by the value you just brought down and write the result underneath the second coefficient.

Add the second coefficient to the product you just wrote down and write the sum in the bottom row.

Repeat the multiplication and addition process until you reach the end of the row.

If the last number in the bottom row, which represents the remainder, is zero, then 'c' is a root of the polynomial. If the remainder is not zero, 'c' is not a root.

Understanding how to perform such operations is essential, especially when dealing with complex equilibrium problems where square roots, cube roots, or higher roots come into play. If unsure about carrying out these operations, particularly on a calculator, it is advisable to seek assistance from your instructor.

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