Given:
The given polar equation is:
[tex]r=8\cos\theta[/tex]
To find:
The rectangular form of the given polar equation.
Solution:
We know that,
[tex]r^2=x^2+y^2[/tex]
[tex]x=r\cos \theta[/tex]
We have,
[tex]r=8\cos\theta[/tex]
Multiply both sides by r.
[tex]r^2=8r\cos\theta[/tex]
[tex]x^2+y^2=8x[/tex]
Therefore, the correct option is D.
Find the equation of the line perpendicular to the line 6y-18x=12 that pases through the point (0, -5)
Answer:
y = -x/3 -5
Step-by-step explanation:
when two lines are perpendicular, the relation between the slopes of the lines m1 and m2
m1m2 = -1
The general equation of a line is given as
y = mx + c where m is the slope and c is the intercept
Considering the given equation
6y-18x=12
6y = 18x + 12
Divide through by 6
y = 3x + 2
comparing with y = mx + c,
m = 3
hence the slope of the perpendicular line m2
= -1/3
Given that the line passes through the point (0, -5)
Using the equation y - y1 = m(x - x1) to find the equation
y - - 5 = -1/3(x - 0)
y + 5 = -x/3
y = -x/3 -5
Fatima is 1.27 metres tall.
Charlotte is 0.89 metres tall
Someone help me pls
Answer:
ans is 5 -¹⁸ thanks for asking
You spin the spinner once.
What is P(not 7)?
Answer:
12.5%
Step-by-step explanation:
The spinner has 8 equal sections, numbered 1, 2, 3, 4, 5, 6, 7, and 8. The only number greater than 7 is 8. There is 1 number greater than 7.
P(greater than 7) =
1
8
Write your answer as a decimal. Then convert your answer to a percentage.
1
8
= 0.125 = 12.5%
P(greater than 7) = 12.5%
From the list below, select the two properties that are NOT necessarily true for a rhombus.
A
Each pair of opposite sides are congruent.
B
Each pair of opposite angles are congruent
С
All sides are congruent.
D
All angles are congruent.
E
Diagonals are congruent.
F
Diagonals are perpendicular.
Answer:
D, E
Step-by-step explanation:
D. all angles do not have to be congruent
E. diagonals do not have to be congruent
Option D is incorrect 100%
Option E should be incorrect aswell.
Help me please if you can...
Hello there!
D is the answer!
Mark me brainliest!
3 There are 4 quarts in a gallon. Which function
models the number of quarts in x gallons?
A h(x) = 0.25%
B h(x) = 4x
C h(x) = x +4
D h(x) = X
What is the answer you can help me ?
Mary bought a magazine for 5$ and 8 pencils she spent a total of 29$ how much was each pencil?
Answer:
Each pencil was 3$
Step-by-step explanation:
the total amount spent is $29 and a magazine only cost $5 and she bought it pencils which brought the total to $29 the question is how much was each pencil.
The amount she spent on pencil is the total amount - $5 which is $29 - $5 which is $24 and we are told that she bought a total number of 8 pencils. the cost of each pencil will be 24/8 which is $3
how do you make 10 out of 5 and 1/2
Answer:
10/5/1/2
Step-by-step explanation:
PLZZZ hury and answer this thanks to whoever does
Answer:
3,264
Step-by-step explanation:
You have to use the straight line in the middle of the triangle as the height, the 12 below it as length, and the 34 on the side as width. And I must say, this prism is quite WIDE
Answer:
3264
Step-by-step explanation:
This is the answer.
A farmer has 400 feet of fencing she would like to use to make a rectangular enclosure. She would like to maximize the area of the enclosure. The graph below shows the square footage of the enclosure,
depending on the length of it.
Enclosure with 400-foot Perimeter
12,000
10,000
8,000
Area (square feet)
6,000
4,000
2,000
0
200
50 100 150
Length of Enclosure (feet)
Answer:
100 feet would make the enclosure the longest
Step-by-step explanation:
The graph shows that at 100 feet the line is at its highest point.
What is the value of xy
2y when x
-3 and y = 6?
Answer:
Step-by-step explanation:
D po hehe..tiwala lang
(URGENT !!!) Which is a reasonable equation for the line of best fit for the data shown in the scatter plot? Using the equation, predict y if the value of x is 20.
F. y=x
G. y= x+2
H. y=2
J. y= 1/2x +2
(This is scatterplots)
Answer:
1. Y = 1/2x + 2
2. X = 20 - Y = 12
Step-by-step explanation:
1. The other formulas clearly don't fit.
2. Simply fill in 20 for X and solve the formula.
Which equation is not a linear function?
y = 2.2
y = x - 2
y=r+2
Answer:
step-by-step-explaination:
y=2.2
Find the degree measure of each angle in the triangle
Answer:
∠L = 43°
∠M = 121°
∠N = 16°
Step-by-step explanation:
Start by setting all sides equal to 180
3x - 5 + 7x + 9 + x = 180
Add like terms
11x + 4 = 180
Solve for x
11x + 4 = 180
- 4 - 4
11x = 176
/ 11 /11
x = 16
Now, plug in 16 for all instances of x on the triangle and solve.
∠L = 43°
∠M = 121°
∠N = 16°
How many ways can 13 different paintings be displayed on a wall if there are 6 spaces available?
Answer:
720
Step-by-step explanation:
base on my previous learning.. Hope it helps.. correct me if im wrong..
can anyone help pllllzzzz
Answer:
Muercury 3
Venus 6
Mars 2
pluto 5
Jupiter 1
Nucleus4
Step-by-step explanation:
What is the degree of the polynomial :
Answer:
6
Step-by-step explanation:
Answer:
In this expression the highest degree of polynomials = 6 due to because see in the one of terms constains the power of x to be as 4 and y to be as 2 Therefore the highest degree of polynomials in all terms is 4+2 = 6
Hope it helps
HELLLLLPP FASSTT PLZZZZ!!!!!! U ANSWER THIS THANNNKKK YOU
Answer:
1) No
2) 4/8 or 1/2
3) 2/8 or 1/4
4) 4/8 or 1/2
5) No
6) 1/8
7) No
What is the perimeter of a square with side length:
3cm
Answer:
12
Step-by-step explanation:
I need help with
(6 + 4)² ÷ 4 – 8 + 6 · 8 and 16 + 3(8 + 2) + 6² ÷ 9
show work please!
Decide if 6x + 2 = 2 + 6x has no solution, one solution, or infinitely many solutions
Decide if 4x - 5 = 4x - 5 has no solution, one solution, or infinitely many solutions
Decide if -x - 8 = -x + 8 has no solution, one solution, or infinitely many solutions
Answer:
HI!
Step-by-step explanation:
BYE!
Sorry :(
What is the length of the hypotenuse
Answer:
15
Step-by-step explanation:
The Pythagorean's Theorem states that a^2 + b^2 = c^2, so 81 + 144 = 225, and 225 square rooted is 15.
Answer:
15
Step-by-step explanation:
So, to find the hypotenuse you must use the pythagreons theorm:
A^2+B^2=C^2
Now, we knowt hat A and B is the side lengths.(9 and 12)
The hyoptenuse is C.
So, lets plug in our values for A and B, and find C:
A^2+B^2=C^2
=
9^2+12^2=C^2
Now lets square each number except for C, since its a unknown value:
81+144=C^2
Now combine the 144 and 81:
225=C^2
Finally, square root both sides so C^2 becomes C:
15=C
So the answer for the hyotenuse is 15!
Hope this helps!
Hello! I really need some help on this.
Answer:
The area is 51 units squared.
Step-by-step explanation:
Since you are finding the area of a triangle, you first start with 12 x 8.5 = 102.
Then, you divide 102 in half, since the shape is a triangle. So, 102 ÷ 2 = 51.
So the answer is 51 units squared.
Hope this helps!
Exercise 1: In the right triangle below, calculate the measurement of the unknown side. Show your work.
Exercise 2: Calculate the height at which the kite is flying. Approach the height to the nearest integer. Show your work.
plz, help its Pythagorean Tioerm or however you spell it.
Answer:
Exercise 1:
base [b]=8cm
perpendicular [p]=6cm
hypotenuse [h]=?
By using Pythagoras law
h²=p²+b²
h²=6²+8²
h=√100
h=10cm
So another side's length is 10cm
Exercise 2:
base [b]=6m
perpendicular [p]=bm
hypotenuse [h]=8m
By using Pythagoras law
h²=p²+b²
8²=b²+6²
b²=8²-6²
b=√28=2√7 0r 5.29 or 5.3
So height of kite is√28or 2√7 0r 5.29 or 5.3 m
Step-by-step explanation:
[Note: thanks for translating]
Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19
Answer:
Take the square root of each side of the equation to set up the solution for
x
(
3
x
−
5
)
2
⋅
1
2
=
±
√
19
Remove the perfect root factor
3
x
−
5
under the radical to solve for
x
.
3
x
−
5
=
±
√
19
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
=
√
19
3
+
5
3
,
−
√
19
3
+
5
3
The result can be shown in multiple forms.
Exact Form:
x
=
√
19
3
+
5
3
,
−
√
19
3
+
5
3
Decimal Form:
x
=
3.11963298
…
,
0.21370035
…
The solutions of the of the equation are,
⇒ x = 3.12
⇒ x = 0.21
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ (3x - 5)² = 19
Now,
We can simplify the expression for the solutions as;
⇒ (3x - 5)² = 19
Take square root both side,
⇒ √(3x - 5)² = √19
⇒ (3x - 5) = √19
Add 5 both side,
⇒ 3x - 5 + 5 = √19 + 5
⇒ 3x = √19 + 5
⇒ 3x = ± 4.36 + 5
⇒ 3x = 4.56 + 5
⇒ 3x = 9.36
Divide by 3;
⇒ x = 9.36 / 3
⇒ x = 3.12
And, 3x = - 4.56 + 5
3x = 0.64
x = 0.64/3
x = 0.21
Thus, The solutions of the of the equation are,
⇒ x = 3.12
⇒ x = 0.21
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
please help i’ll give brainliest!!! thanks
THE SILK ROAD
The first documented translation efforts by Buddhist monks in China were in the 2nd century CE via the Kushan Empire into the Chinese territory bordering the Tarim Basin under Kanishka.
Belinda jogged 1.5 km, then walked 500 m. Write the ratio of distance jogged to distance walked in simplest form.
Answer:
3:1
Step-by-step explanation:
Given data
Distance jogged= 1.5km
Distance walked= 500m= 0.5km
Hence the ratio of distance jogged to distance walked is
=1.5/0.5
=3/1
= 3:1
In a board game, each player must roll a number cube and spin a spinner. The number cube is labeled with the numbers 1 through 6 and the spinner
consists of 8 equal parts shown below. What is the probability you will roll a 3 and land on red?
1/10
3/8
1/24
2/3
Answer:I think the answer is 5/12.
Step-by-step explanation:
Sorry if I am wrong. :) but it should be correct.
[tex]-x+5y=19x+2y+16[/tex]
Answer: - 20x + 3y = 16
Step-by-step explanation:
Answer:
3y = 20x + 16
Step-by-step explanation:
- x + 5y = 19x + 2y + 16
- x + x + 5y = 19x + x + 2y + 16
5y = 20x + 2y + 16
5y - 2y = 20x + 2y - 2y + 16
3y = 20x + 16
