The rectangular form of the given equation r= 2 / 7sinθ−cosθ which is in polar form is 7x - y = 2 and the slope-intercept form is y = 7x - 2
How to convert from polar form to rectangular form?To convert from polar form to rectangular form we simply take the following steps:
x = rsinθy = rcosθWhat is slope-intercept form?The slope-intercept form is,
y = mx +c
where m is the slope made and c is the intercept both made by the straight line.
In the given question let's first rearrange it,
r × (7sinθ − cosθ) = 2
Multiplying the term (7sinθ−cosθ) with r we get,
7rsinθ - rcosθ = 2
Now we will follow the steps discussed above which is we will put x and y respectively in place of rsinθ and rcosθ.
7x - y = 2
So, the slope-intercept form will be,
y = 7x - 2
Therefore, the rectangular form is 7x - y = 2 and the slope-intercept form is y = 7x - 2.
To know more about the polar form and how to convert it to rectangular form click here - brainly.com/question/27412064
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Let's simplify
Remember that rsinØ is x an rcosØ=y
r=2/7sinØ-cosØr(7sinØ-cosØ)=27rsinØ-rcosØ=27x-y=2Rectangle form or slope intercept form
y=7x-2Simplify 3 square root of 2 - 3 square root of 18
Answer:
-6 √(2) = -8.48528137424
Step-by-step explanation:
:))
Please answer!
No links. No links to pictures, no fake answers. Please don’t make my day worse than what it is. Please answer correctly thank you!!
Answer:
essentially the fourth option is the best
Answer:
option 3
Step-by-step explanation:
PLEASE HELP ME !!! I NEED HELPPP
tyreek invested $8,000 into an account that pays 12% simple interest annually. what will the balance of his account be after ten years?
Answer:
I belive it would be $17,600
Step-by-step explanation:
The way I did it might be confusing but.
12% of 8,000 is 960
960 * 10 is 9,600
9,600 + 8,000 = 17,600
Can someone please help me with math.
Answer:
The answer is 2/10 which simplifies to 1/5
I don't know the second one:(
The area of a triangle can be found based on the area of a _____. circle trapozoid parallelogram
Answer:
Trapezoid
Step-by-step explanation:
A triangle can be thought of as a trapezoid with one of the side length being 0.
Answer:
Parallelogram
Step-by-step explanation: "Surprisingly, this triangle (or any triangle) is related to a parallelogram." Found it in my text (Calvert Academy school)
13
Find the percent of change in the time to run a
mile from June to September. Round to the
nearest tenth of a percent. (Hint, make sure
change each to seconds first!)
7:45
(5:57
June
September
Answer:
23.225%
Step-by-step explanation:
Runtime in June (x1) = 7:45 = (7 * 60) + 45 = 465
Runtime in September (x2) = 5:57 = (5*60)+57 = 357
Percentage change in Runtime :
[|x2 - x1|÷ x1] * 100%
[|357 - 465| ÷ 357] * 100%
108 / 465 * 100%
0.23225 * 100%
= 23.225%
Find the area of the sector. Round to the nearest hundredth.
14 in
315°
Answer:
24.5 pi in^2
or 76.93 in^2 (Multiplied by 3.14)
Step-by-step explanation:
A = piR^2
Calculate the value of the unknowns. O is the centre of each circle.
B
Statement
Reason
(a)
С
O
2
2
Αα
3 T
50°
Р
Choose the three rectangles that have a perimeter of 12 meters.
Answer:
I think the answers would be a d and b
Step-by-step explanation:
the perimeter formula for a rectangle is 2L + 2W
if we take the measurements for rectangle a and add 4 + 4, we get 8. then we can do 2 + 2 to get 4. lastly, we would add 8 + 4, which equals 12.
for rectangle d, we can do 3 + 3, which equals 6. because the measurements are the same on each side, we don't have to do another equation and we would just add 6 + 6 to get 12.
and for rectangle b, you can do 1 + 1 = 2 and 5 + 5 = 10, then add 10 and 2 together to get 12.
Guide Questions:
1. How do you saive for the area of the shaded region in figure A?
2. How do you solve for the area of the shaded region in figure B?
3. Is method finding the shaded region in figure A and B the same? Why? or Why not?
please answer on 3 i need answers for that number 3 questions
Answer:
1. The area is found by using the formula for a rectangle
The area is 150 cm²
2. The area is found by the definite integral for the area between two points under a curve
3. The methods are different
The methods are different because the area of figure A is found by the multiplication between the dimensions, while the area of figure B is found by the difference between the values of the integral of the function between the points
Step-by-step explanation:
1. The area of the shaded figure A is found by multiplying the dimensions of the figure, which is the length multiplied by the breadth of the figure
From the question, we have;
The area of the rectangular figure, A = Length × Breadth
The length of the figure = 15 cm
The breadth of the rectangular figure = 10 cm
Therefore, we have;
A = 15 cm × 10 cm = 150 cm²
The area of the rectangular figure, A = 150 cm²
2. The bell shape of the figure B is obtained from a function f(x) as obtained from MIT mathematics website as follows;
[tex]f(x) = e^{-t^2}[/tex]
Therefore the area of the shaded region in the bell shaped figure between the points 0 and 1 on the x-axis is found by integration as follows;
[tex]A = \int\limits^1_0 {e^{-t^2}} \, dt = \dfrac{1}{2} \cdot \sqrt{\pi} \times erf(t)[/tex]
Using a graphing calculator, we have;
[tex]A = \int\limits^1_0 {e^{-t^2}} \, dt \approx 0.746824[/tex]
3. The method of finding the area of figure A is different from the method of finding the area of the figure B
The methods are different because the area of figure A is the area of the whole figure of a geometric shape with known formula for area while the area of of the shaded region has no predefined formula but is calculated using the calculus for the area under a curve.
(picture attached) help please
Answer:
l think the answer of this question is 255°
What is radius? How u can find raduia
Answer:
The distance between the center of the circle to its circumference is the radius. The diameter is always double the radius. Hence, the formula is derived by dividing the diameter by 2.
Step-by-step explanation:
Mark as brainliest
1. Simplify.
a) 698 x 32
b) 984 : 24
Answer:a) 34916 b) 411
Step-by-step explanation:
Write the slope and y-intercept of this linear equation: 3y + 6 = –2x
Answer:
slope = -2/3
y-intercept = -2
Step-by-step explanation:
3y + 6 = -2x
Conver to slope intercept form
3y = -2x - 6
y = -2/3x - 2
Follow the form y = mx + b, so m is the slope and b is the y-intercept
Marking brainliest:).
Answer:
0.18
Step-by-step explanation:
Divide 5.40 by 30.
Can I have brainliest?
Answer:
0.18
Step-by-step explanation:
total cost - the amount of markers = price per marker
5.40/30=0.18
You start at (3, 0). You move right 1 unit and left 2 units. Where do you end?
Answer:
2,0
Step-by-step explanation:
What is the formula for the circumference using the radius below?
Answer:
2π(5)
Step-by-step explanation:
Circumference
C=2πr
I’m really struggling here :,D
Answer:
-2
Step-by-step explanation:
Help!!!! Asappppppppp
Answer:
it is D
Step-by-step explanation:
help me plz. it’s not that hard, i just don’t know lol
Answer:
CD= 4.25
Step-by-step explanation:
so CD is similar to RS
and the difference between the shapes are 3.75cm.
so 8 - 3.75 =4.25
Plz help
A rock climber makes several changes in position while attempting to scale a
cliff face. She ascends 15 feet, descends 7 feet, ascends 22 feet, descends
13 feet, and then ascends another 28 feet. What is her mean change in
position?
Answer:
80
Step-by-step explanation:
Tori has a wardrobe that is 7 feet tall, 3 feet wide, and 2 feet long. She wants to buy a new wardrobe that is 7 feet tall, 4 feet wide, and 2 feet long. What is the difference in volume of the two wardrobes? V = ft3
Answer:
14 ft³
Step-by-step explanation:
Previous wardrobe : 7 feet tall, 3 feet wide, and 2 feet long
Volume of previous wardrobe = length × width × height
= 7 ft × 3 ft × 2 ft
= 42 ft³
Volume of previous wardrobe = 42 ft³
New wardrobe: 7 feet tall, 4 feet wide, and 2 feet long
Volume of new wardrobe = length × width × height
= 7 ft × 4 ft × 2 ft
= 56 ft³
Volume of new wardrobe = 56 ft³
What is the difference in volume of the two wardrobes?
Difference in volume of new wardrobe and previous wardrobe = Volume of new wardrobe - Volume of previous wardrobe
= 56 ft³ - 42 ft³
= 14 ft³
Difference in volume of new wardrobe and previous wardrobe = 14 ft³
What is the coordinate of the midpoint of (2, 1) and (18, 7)?
Answer:
The midpoint is (10, 4)
Step-by-step explanation:
To find the midpoint, you add the x value from the first coordinate and the x value from the second coordinate, then divide by two to get the x coordinate of the midpoint. You do the the same exact thing with the two y values to find the y coordinate of the midpoint.
2 + 18 = 20
20 / 2 = 10
1 + 7 = 8
8 / 2 = 4
(10, 4)
Hope this helps!
Answer:(10,4)
Step-by-step explanation:
Mp(x,y)=(2+18/2,1+7/2)=(10,4)
find the value of x and y
Answer:
x=4
y=7
Step-by-step explanation:
x=4 because the left and right sides are equal
the upper side should equal the bottom side
so y+5=12
y=12-5
y=7
Estimate the deference of 323 and 384 by rounding off to the nearest hundreds
Option 1) 300
Option 2)200
Option 3)400
Answer:
200
Step-by-step explanation:
I I can easily set the access option 2
Answer:
100
Step-by-step explanation:
One way of doing this is to substitute 300 for 323 and 400 for 384 (rounding off to the nearest hundreds), We then have 400 - 300, or 100. The actual difference is 384 - 323 = 61, which is closer to 100 than it is close to 0.
Note: There's no way that any of the three options you've shared could be the right one. Was there perhaps another option (100)?
Hey, you are perfect the way you are, don't forget that everything will be okay. Just take deep breath and keep going!
Answer:
that actally made my day a lot better thx, i have like a million over dues that i have get does before school ends
Step-bystep explanation:
given that 4x^2-32x-20+k is a perfect square find k
Answer:
k = 20Step-by-step explanation:
Perfect square identity:
(a + b)² = a² + 2ab + b²Completing the square:
4x² - 32x - 20 + k = (2x)² - 2*2x*8 + 8² - 20 + k =(2x - 8)² - (20 - k)In order the given to be a perfect square, we need:
20 - k = 0k = 20How can you determine if a situation is asking you to calculate surface area or volume?
Answer:
A situation in which you would need to calculate the surface area or volume of a solid would be when you are going to put up wallpaper in a room. You need to measure the room and the wallpaper. If you wanted to put up moldings on the walls too, than you would need to measure the surface area and volume of the moldings as well so you would know where to cut the wood to fit witht eh wall shape of the room.
Step-by-step explanation:
which statement about the grapgh of line y=x+1/2 will be true if the 1/2 is replaced by -2
Answer:
Step-by-step explanation:
This linear graph will be shifted downward by 2 1/2 units: first, from y = 1/2 to the x-axis, and next, from the x-axis by 2 more units, for a total shift of 2 1/2 units.