The proof that point (1,3) lies on the circle that is centered at the origin and
contains the point (0, 2) is found in the table below. What is the justification
for the 5th statement?
Statement
Justification
A circle is centered at (0, 0) and
contains the point (0, 2).
Given
Definition of radius
The radius of the circle is the distance
from (0, 0) to (0, 2).
The distance from (0, 0) to (0, 2) is
VO-D) +(2-0) - 127-2
Distance formula
Definition of a circle
If (1, 3) lies on the circle it must be
the same distance from the center as
(0, 2).
The distance from (1, 3) is
VO - 1)2 - (0-3)? - v1+3 - 2
Since (1, 3) is 2 units from (0, 0), it
lies on a circle that is centered at the
Definition of a circle
Answers
The justification for the 5th statement regarding the circle is the distance formula.
How to depict the formula?It should be noted that the distance between the points will be found based on the information given.
From the information given, the distance from (0, 0 to (0, 2) will be:
= [tex]\sqrt{0 - 0}[/tex]² + [tex]\sqrt{2 -0}[/tex]²
= 4
= 2
In this case, the justification is the distance formula.
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Related Questions
Sonya worked as a dog walker for $9.30 per hour and worked 20 hours each week. Later that year she moved and had to get a new job. Her new job was washing dishes. She was paid $7.50 per hour working 40 hours each week. What is the difference in income per week between the dog walking and dishwashing jobs.? *
Answers
Answer:
She makes $114 more doing dishes.
Step-by-step explanation:
(9.30x20)-(7.50x20)
GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT
What are the zeroes of f(x) = x2 − 2x − 3?
x = −3, 1
x = −3, −1
x = 3, 1
x = 3, −1
Answers
Answer:
x=3 x = -1
Step-by-step explanation:
f(x) = x^2 − 2x − 3
Set the function equal to zero
0 = x^2 − 2x − 3
Factor
What two numbers multiply to -3 and add to -2
-3 *1 = -3
-3+1 = -2
0 = (x-3)(x+1)
Using the zero product property
x-3 =0 x+1 =0
x=3 x = -1
Pls help anyone plsss
Answers
3 times flipped, two sides fo a coin heads and tails, 2/3 meaning most likely
Which other parts must be equal for triangle ABC= triangle MTR by
Answers
Answer:
see below
Step-by-step explanation:
ASA stands for Angle-side-Angle
thus, for ∆ABC[tex]\cong[/tex]∆MTR
[tex] \displaystyle \angle C \cong \angle R[/tex]
SAS stands for Side-angle-Side
thus,for ∆ABC[tex]\cong[/tex]∆MTR
[tex] \displaystyle \overline{ MR }\cong \overline{MT}[/tex]
likewise,
AAS stands for Angle-Angle-Side
thus,for ∆ABC[tex]\cong[/tex]∆MTR
[tex] \displaystyle \angle M \cong \angle T[/tex]
Subtract 14pqr − 2qrs + 10prs from 6pqr - 5qrs - 7prs
Help needed and quick!!!!!!
Answers
Answer:
- 8pqr - 3qrs - 17prs
Step-by-step explanation:
(6pqr - 5qrs - 7prs) - (14pqr − 2qrs + 10prs) = (6pqr - 14pqr) + (-5qrs - - 2qrs) + (-7prs - 10prs)
= - 8pqr - 3qrs - 17prs
What is the length of the missing leg?
Answers
Answer:
Hello! answer: 6
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10 so therefore a = 6 Hope that helps!
A square pyramid with a side length of 6 inches has volume of 102 cubic inches. Find the height of the square pyramid.
Answers
Answer:
the height of a square pyramid is 139.3 cm
If A and B are supplementary angles and A is times as large as B, find the measures of A and B.
Answers
What is the slope of the line?
PLEASE HELP!
Answers
Answer:
0
Step-by-step explanation:
horozontal lines are always 0
i hope im not wrong, sorry if i am but im 90% sure im right
What is the approximate volume of the cylinder? Use
for 22/ 7. Round to the nearest whole number.
Answers
Answer:
3rd one
Step-by-step explanation:
Look at the two 2s in this number
Answers
Answer: What number?
Step-by-step explanation:
Answer:
In what number... is this a trick question or did you just not finish your question??
Step-by-step explanation:
1. Find the value of y when x = 3.
y = 3(x+7) + 12
Answers
3(10)+12
30+12
42
y=42
y = 3(3+7) + 12
= 42
list power power set of a:{1,2}
Answers
Answer:
Number of elements in set = n(B) = 3 . Therefore, Number of elements in power set = 2^n(B) = 2^3 = 8 . Hope helped!
Step-by-step explanation:
PLEASE ANSWER QUICK. I AM SO CONFUSED. HELP.
Answers
Answer:
Slope: 2
This is because it is going up two blocks within one block space.
Feel free to mark it as branliest :D
gradient = 2
Rise over Run = 5 / 2.5 = 2
Rodger and Brandon set up a business to design and sell t-shirts. They sold 120 t-shirts for $1302. Their expenses were $1344. How much was the profit or loss per t-shirt?
Please help this is due in an hour or so and I really need help
Answers
Answer:
Loss of $.35
Step-by-step explanation:
Income per t-shirt = 1302/120 = 10.85
Expense per t-shirt = 1344/120 = 11.20
Loss per t-shirt = 11.20 - 10.85 = .35
What is the estimate of 35214
Answers
Answer:
4000
Step-by-step explanation:
Skyler has 20 comic books about the Avengers. He goes to the comic book
store and after he leaves, he now has 26 Avengers comics. What is Chris'
percent increase in Avenger comics? *
Answers
Answer:
6%
Step-by-step explanation:
easy algebra question below first correct answer gets brainliest
Answers
find the value of x and y
Answers
Answer:
5 = y
6.5 = x
Step-by-step explanation:
Since all the angles are the same, you can determine that all the sides are the same lengths.
8 = y + 3
8 - 3 = y
5 = y
8 = 2x - 5
8 + 5 = 2x
13 = 2x
13/2 = x
6.5 = x
Answer:
2x - 5 = 8
+5 +5
2x = 13
Divide by 2 on both sides:
X = 6.5
Y + 3 = 8
-3 -3
Y = 5
They must equal 8 since all sides are the same.
helpppppppppppppppppppppppp asappppp!!!!!!!!!!1
Answers
Answer:
(2) angle EZD = angle AZB (vertically opposite angles)
angle EZD = 90 degree
(3) angle DXC = 180 - 143 (Linear Pair axioms)
= 37 degree
Hope u understand
Please mark as brainliest
Thank You
The measure <EZD = 90°
The measure <DXC = 37°
I hope you understand....
This is a Right answer....
Please show working out.........
Answers
Answer: Can you put a better picture this is blurry
Step-by-step explanation:
1/6 and 3/8=? what is the answer
Answers
Answer:
4/24 + 9/24 = 13/24
Find a common denominator which would be 24 atleast.
How many blocks having 2m² volume of each are there in a wall having volume 600m³?
Answers
9514 1404 393
Answer:
300 blocks
Step-by-step explanation:
The number of blocks is ...
(600 m³)/(2 m³/block) = 600/2 blocks = 300 blocks
Adding and subtracting unlike fractions in word problems
Ben is making waffles for his friends. the recipe calls for 2/3 cup of bleached flour and 1/4 cup of wheat flour. what is the total amount of flour Ben needs to make the waffles?
what operation is needed to solve this problem?
A) -
B) +
C) ÷
D) ×
Answers
Explanation:
Since your lesson is test is mainly about “adding and subtracting unlike fractions in word problems” then why not choose B?
The question is asking for the TOTAL amount of flour, then the given ingredients are both flours. So you will need to add them.
A brainliest would be nice!
-SpaceMarsh
i need the answer!!! please
Answers
Answer:
sinx = e/f
cosx = d/f
tanx = e/d
Step-by-step explanation:
soh cah toa
sin= opposite/hypotenuse
cos= adjacent/hypotenuse
tan= opposite/adjacent
if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food
Answers
Answer:
90 calories
Step-by-step explanation:
Calories : quantity of food
there are 300 calories in 100 g of a certain food
300 calories : 100 g food
how many calories are there in a 30 g portion of food
Let x = number of calories
x calories : 30 g food
Equate both ratios
300 calories : 100 g food = x calories : 30 g food
300/100 = x/30
300 * 30 = 100 * x
9000 = 100x
x = 9000/100
x = 90
x = number of calories = 90 calories
Carlitos purchased $13.90 of roasted almonds to make his own almond milk.He purchased 5 pounds of almonds.Assuming the cost per pound is the same,what was the cost per pound of the almonds?
Answers
Explanation: 13.90/5=2.78
Which expression is equivalent to (x^1/2y^-1/4z)^-2
Answers
Answer:
[tex]\sqrt{y}[/tex] ÷ xz²
Step-by-step explanation:
multiply the exponent of 'x' by -2 to get -1
multiply the exponent of 'y' by -2 to get 1/2
multiply the exponent of 'z' by -2 to get -2
= (x^-1)(y^1/2)(z^-2)
= 1/x · [tex]\sqrt{y}[/tex] · 1/z²
= [tex]\sqrt{y}[/tex] / xz²
2) Escreva a expressão algébrica que representa cada uma das seguintes condições:
a) o triplo de um número y somado com um número x______________
b) a diferença entre o quadrado do número a e o dobro do número b___________
c) o quádruplo do número t aumentado da metade do número m____________
d) a diferença entre o produto o produto do número x pelo número y e o quadrado do número
a_________
rápido pfv gnt preciso entregar essa atividade hoje T-T
Answers
Answer:
a) 3y + x
b) a ^ 2 -2b
c) t ^ 4 + m / 2
d) xy - x ^ 2-y ^ 2
Step-by-step explanation:
a) o triplo de um número y adicionado a um número x ______ 3y + x ________
b) a diferença entre o quadrado do número a e o dobro do número b ______ a ^ 2 -2b _____
c) quadruplicar o número t aumentado pela metade o número m _______ t ^ 4 + m / 2 _____
d) a diferença entre o produto do produto do número x e o número y e o quadrado do número
The____xy - x ^ 2-y ^ 2 _____
Long division method of 47089. What’s the square root of 47089 in long division method? Do write it in simple way please.
Answers
Answer:
use math.way
Step-by-step explanation: