Using the equation of the circle, it is found that since it reaches an identity, the point (√5, 12) is on the circle.
What is the equation of a circle?
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the circle is centered at the origin, hence [tex](x_0, y_0) = (0,0)[/tex].
The circle contains the point (-13,0), hence the radius is found as follows:
[tex]x^2 + y^2 = r^2[/tex]
[tex](-13)^2 + 0^2 = t^2[/tex]
[tex]r^2 = 169[/tex]
Hence the equation is:
[tex]x^2 + y^2 = 169[/tex]
Then, we test if point (√5, 12) is on the circle:
[tex]x^2 + y^2 = 169[/tex]
[tex](\sqrt{5})^2 + 12^2 = 169[/tex]
25 + 144 = 169
Which is an identity, hence point (√5, 12) is on the circle.
More can be learned about the equation of a circle at https://brainly.com/question/24307696
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Isaac is helping his mom build a tree house. Isaac is dividing the board shown below into 8 equal pieces. how long will each piece be?
Answer: x/8
Step-by-step explanation:
take the length of the board and divide it by 8
Calculate the perimeter of the shape below. Show ur work!
Answer: 88 ft
Step-by-step explanation:
There are 2 sides that are 26 ft (multiply 26 by 2 to get 52)
There are 2 sides that are 18 ft (multiply 18 by 2 to get 36)
Add 52 and 36 together to get 88. Don't forget to add the units so it reads 88 ft.
(help much needed)
Answer:
C
Step-by-step explanation:
Because the input(x) does not repeat more than once
Answer:
A. It is not a function
B. It is not a function
C. It is a function
D. It is a function
Step-by-step explanation:
A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function.
help with this question (100 points)
Answer:
y = [tex]\frac{\pi}{3}[/tex]
Step-by-step explanation:
using the addition formula for sine
sin(x + y) = sinxcosy + cosxsiny
then
sinxcosy + cosxsiny = [tex]\frac{1}{2}[/tex] sinx + [tex]\frac{\sqrt{3} }{2}[/tex] cosx
for the 2 sides to be equal , then
cosy = [tex]\frac{1}{2}[/tex] and siny = [tex]\frac{\sqrt{3} }{2}[/tex]
then
y = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex]
and
y = [tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex]
thus y = [tex]\frac{\pi }{3}[/tex]
[tex]\\ \rm\Rrightarrow sin(x+y)=\dfrac{1}{2}sinx+\dfrac{\sqrt{3}}{2}cosx[/tex]
[tex]\\ \rm\Rrightarrow sinxcosy+cosxsiny=\dfrac{1}{2}sinx+\dfrac{\sqrt{3}}{2}cosx[/tex]
Cancel sin and cos[tex]\\ \rm\Rrightarrow cosy+siny=\dfrac{1}{2}+\dfrac{\sqrt{3}}{2}[/tex]
[tex]\\ \rm\Rrightarrow cos\dfrac{\pi}{3}+sin\dfrac{\pi}{3}=\dfrac{1}{2}+\dfrac{\sqrt{3}}{2}[/tex]
y=π/3Option B
Find the measure of the missing angles.
с
105
b.
Answer:
b = c = 75°
Step-by-step explanation:
b and 105° are adjacent angles and sum to 180° , then
b + 105° = 180° ( subtract 105° from both sides )
b = 75°
b and c are vertically opposite angles and are congruent , so
c = b = 75°
What is the surface area of this right prism?
Enter your answer in the box.
cm²
Right triangular prism. The right triangle base has a horizontal leg labeled 4 centimeters and the vertical height of 3 centimeters. The other side is labeled 5 centimeters. The height of the prism is labeled 7 centimeters.
Answer:
117 cm²
Step-by-step explanation:
Right triangular prism: 5 surfaces
SA: 2 triangles + 3 rectangles
Triangles
A = bh/2
A = (4 · 3)/2 = 12/2
6 cm²
Rectangles
A = bh
A = 5 · 7
35 cm²
Total
SA: 2 triangles + 3 rectangles
SA: 2(6) + 3(35)
117 cm²
Hope this helps and God bless!
Find the slope of the following equation. Simplify your answer.
5x + 2y = -10
m= -5/2
m= 5
m= 2
m= 2/5
Answer:
1st option
Step-by-step explanation:
theequation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
5x + 2y = - 10 ( subtract 5x from both sides )
2y = - 5x - 10 ( divide terms by 2 )
y = - [tex]\frac{5}{2}[/tex] x - 5 ← in slope- intercept form
with slope m = - [tex]\frac{5}{2}[/tex]
GRADES On her first four quizzes, Rachael has earned scores of 21, 24, 23, and 17 points. What score must Rachael
earn on her fifth and final quiz so that both the mean and median of her quiz scores is 21?
points
Question Progress
Homework Progress
25 / 58 Marks
爾
ह
55
Here is a pattern made from sticks:
1
a) How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?
Answer:
a) 32
b) 2 +5n
Step-by-step explanation:
Given the stick patterns shown, with 7, 12, 17 sticks, you want to know (a) the number of sticks in pattern 6, and (b) the number of sticks in pattern n.
SequenceThe numbers of sticks in the patterns shown are ...
7, 12, 17
The differences between these numbers are ...
12 -7 = 5
17 -12 = 5
That is, the first pattern has 7 and the common difference between patterns is 5. This indicates the sequence is arithmetic.
b) General termThe general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
an = 7 +5(n -1) = 7 +5n -5
an = 5n +2 . . . . . . sticks in pattern n
a) Sixth termThe term when n=6 is ...
a6 = 5·6 +2 = 32 . . . . . . sticks in pattern 6
__
Additional comment
We find it easier to determine sticks in pattern 6 by first determining the formula for pattern n.
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please help give answer
Answer:
B
Step-by-step explanation:
A and B are complementary angles because their values add up to 90 degrees. <DAB is a right angle, and therefore <EAB is as well.
Find the next term of the following sequence.
9, 6, 4, ...
Answer:
13.5/1.5 = 9
9/1.5 = 6
6/1.5 = 4
4/1.5 ≈ 2.7
81.
1. The yearbook has 87 pictures.
If there are 3 pictures on
each page, how many
pages are there?
Answer:
29
Step-by-step explanation:
87/3 is 29 its that easy
An element with mass 630 grams decays by 18.8% per minute. How much of the
element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
-199.1
Step-by-step explanation:
18.8% × 7= 131.6%
630×131.6=82908 move the decimal two places to the left you get 829.08
630-829.08= -199.08 round to the nearest tenth you get -199.1
What is the value of x in this diagram? (PLEASE HELP, GIVING 50 POINTS)
A) 52
B) 64
C) 128
D) 138
Answer:
128degrees
Step-by-step explanation:
180-52=128
What is the first step you would take to solve the following equation and why would you do that step first? 3(x - 5) = 6
Answer: You must start with the parentheses first because you have to leave the x by itself.
Step-by-step explanation:
That means it would be turned into 3(-5x) =6.
I NEED HELP ASAP IM IN HIGHSCHOOL TAKING A TEST I DONT KNOW THIS I HAVE 24 MINUTES
Answer:
$21,389.79
Step-by-step explanation:
Which function is represented by the graph
What value of x will make the triangles similar by the sss similarity theorem? 15.9 59 77 96.8
The value of x which will make the provided triangles similar by the sss similarity theorem is 77.
What is SSS similarity theorem?The SSS similarity theorem is the theorem which is used to check the two triangle are similar or not.
SSS means the side-side-side. This theorem states that if all the three sides of a triangle are proportional to the three corresponding sides of the another triangle, then the triangles are similar.
In the given image, the sides of the first triangle are 35,20 and 20. The sides of the second triangle are x, 44,44.
Thus, by the SSS similarity theorem,
[tex]\dfrac{x}{35}=\dfrac{44}{20}\\x=\dfrac{44\times35}{20}\\x=77[/tex]
The value of x which will make the provided triangles similar by the sss similarity theorem is 77.
Learn more about the SSS similarity theorem here;
https://brainly.com/question/21247688
Answer:
77
Step-by-step explanation:
________ is a measure of the ratio of process outputs to inputs.
Find the value of -8 - 12 - (-20).
24
16
-40
0
Answer: 0
Step-by-step explanation:
Please answer the question and explain
Step-by-step explanation:
follow through that diagram. l have divided it into 3 figures A, B and C
Can someone please help me? :(
Answer:
Area of the parallelogram is 96 m^2
Step-by-step explanation:
The formula of Area of parallelogram: Area = Base * Height
Area = Base * Height
Area = 12 m * 8 m = 96 m^2.
Answer:
96m squared
Step-by-step explanation:
BxH=Area of parallelogram
12x8=96
What is the volume of a cylinder with base radius 3 and height 8?
Answer:
266.08
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi (3)^2 (8)
V = 72 pi
V = 72(3.14)
V is approximately 266.08
OR 72pi
Which system of equations is satisfied by the solution shown in the graph?
9
2 3 4 5 X
-5
-4
3
8
N
6
51
3.
Answer:
The two equations of each line is
y = x + 10 and y = -x + 5
I am unable to idenfity your option choices due to formating
Step-by-step explanation:
I've attached my work
Hope it helps, let me know if you have any questions/concerns !
Have a nice rest of your day :)
The area of rectangle field is 12 3/5 m² if the length of the field is 6 2/3 m . Find its breadth
Answer:
[tex]1\frac{89}{100}[/tex] m
Step-by-step explanation:
The formula to find the area of a rectangle: [tex]l * b[/tex], where [tex]l[/tex] is the length and [tex]b[/tex] is the breadth.
1) Substitute the values into the formula.
[tex]12\frac{3}{5} = 6\frac{2}{3} * b[/tex]
2) Change it to an improper fraction and solve for [tex]b[/tex].
[tex]\frac{63}{5} = \frac{20}{3} * b[/tex]
[tex]\frac{3}{20}[/tex] * [tex]\frac{63}{5}[/tex] = [tex]b[/tex]
[tex]\frac{189}{100} = b[/tex]
3) Change it to a mixed fraction because the length is in a mixed fraction. To do it, do a long division.
= [tex]1\frac{89}{100}[/tex]
Which expression gives the volume of a sphere with radius 15?
WILL MARK BRAINLIEST IF CORRECT!!!
Answer:
D
Step-by-step explanation:
volume of a sphere is = to
v= 4/3pi(r^3)
i dont know how to do this??
Answer:
21 m²
Step-by-step explanation:
Area of a trapezoid is given by the formula:
A = (a+b)/2×h
(where h is the vertcial height, and a and b are the parallel lines)
Substituting values given gives us:
A = (5+9)/2×3
A = 14/2×3
A = 7×3
A = 21
Units will be m² as this is area.
Answer:
21
Step-by-step explanation:
the formula is:
[(base1+base2)/2]*height
[(9+5)/2]*3
21
anyone knows how to do this, This would help so much
Answer:
$40,320 Ted has left.
Step-by-step explanation:
(01.06 MC)
Graph with Q on x axis, P on y axis. Curve S rises from the origin and increases in both x and y dimensions. Line D1 decreases in both x and y dimensions. An arrow points from line D1 to line D2, which is identical in shape to line D1, but shifted one unit to the positive x direction. Dashed lines extend in the positive x direction from P1 and in the positive y direction from Q1, intersecting line S and line D1. Dashed lines extend in the positive x direction from P2 one unit in the positive y direction from P1 and in the positive y direction from Q2 one unit in the positive x direction from Q1, intersecting line S and line D2.
Creative Commons
The price (P) of designer jeans is affected by the supply (S) and the demand (D).
Which of these can cause an increase in the price of designer jeans? (5 points)
Group of answer choices
Increased demand and no change in supply
Decreased demand and increased supply
Increased supply alone
Decreased demand alone
Artificial Monopoly because as businesses join together to set prices that is called artificial monopoly, although the government does not allow businesses to come together to set prices equal because this is no market competition. Hope this helps
Which is a factor of f(x) = 60x4 86x3 – 46x2 – 43x 8? use the rational root theorem to help you find your answer. x – 6 5x – 8 6x – 1 8x 5
Answer:
6x-1
Step-by-step explanation:
I dont know how to explain but it is correct
Answer:
6x – 1
Step-by-step explanation: