There is a circle with the center [tex](6,-8)[/tex] and radius = [tex]20[/tex] units
We have to find whether the points given in the options will not lie inside the circle if the radius of the circle is halved.
"If a point lies inside the circle, distance between the center and the given point will be less than the radius of the circle".
To find the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
If a point lies inside the circle with radius 10 units, distance between the point and the center will be less than 10 units.
Option A
Distance between the points [tex](-\frac{1}{20},0)[/tex] and [tex](6, -8)[/tex]
= [tex]\sqrt{(6+\frac{1}{20})^2+(-8-0)^2}[/tex]
= [tex]\sqrt{100.6025}[/tex]
= [tex]10.03[/tex] units
Since, [tex]10.03>10[/tex] units
Therefore, [tex](-\frac{1}{20},0)[/tex] will lie outside the circle.
Option B
Distance between [tex](\frac{1}{20},0)[/tex] and [tex](6,-8)[/tex] = [tex]\sqrt{(6-\frac{1}{20})^2+(-8-0)^2}[/tex]
= [tex]\sqrt{99.4025}[/tex]
= [tex]9.97[/tex] units
Since, [tex]9.97<10[/tex] units
Therefore, [tex](\frac{1}{20},0)[/tex] will lie inside the circle.
Option C
Distance between [tex](-\frac{1}{10},-6)[/tex] and [tex](6,-8)[/tex] = [tex]\sqrt{(6+\frac{1}{10})^2+(-6+8)^2}[/tex]
= [tex]\sqrt{41.21}[/tex]
= [tex]6.42[/tex] units
Since, [tex]6.42<10[/tex] units
Therefore, [tex](-\frac{1}{10},-6)[/tex] will lie inside the circle.
Option D
Distance between [tex](8,10)[/tex] and [tex](6,-8)[/tex] = [tex]\sqrt{(8-6)^2+(10+8)^2}[/tex]
= [tex]\sqrt{328}[/tex]
= [tex]18.11[/tex] units
Since, [tex]18.11>10[/tex] units
Therefore, [tex](8, 10)[/tex] will lie outside the circle.
Now we can conclude that [tex](-\frac{1}{20},0)[/tex] and [tex](8,10)[/tex] will lie outside the circle.
Options (A) and (D) will be the correct options.
Learn more about the distance between two points,
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4(х – 1) = 3х – 1
what is x
Answer:
x=3 hope I helped you! :)
WILL MARK YOU BRAINLIEST
Answer:
15) The equation to find the sum of interior angles is
(n - 2).180
which means that a polygons interior angles will always be a multiple of 180 because they are multiplied by it.
can someone help i know you looking
Answer:
A
Step-by-step explanation:
We know a number is an expression when it is:
1) NOT greater/ less than something else
2) NOT equal/ not equal to something else
The only answer choice that satisfies the above is A.
Can someone help please?
Answer:
y = 1.5x + 1
Step-by-step explanation:
I need help I will give brainiest
Answer:
The one on top is no solution and the one on bottom is one solution
Answer:
the top one has no solution
Step-by-step explanation:
Can someone plz help me on mixed numbers plz
Answer:
The answer 3/4
Step-by-step explanation:
Answer:
\frac{3}{4}
[tex]convert \: the \: mixed \: numbers \: into \: a \: fraction frac{9}{4} - \frac{3}{2}
applying the fractions formula for subtraction
(9 \times 2) - (3 \times 4) \\ 4 \times 2 \\ = 18 - 12 \\ 8 \\ = \frac{6}{8} \\ then \: diide \: each \: number \: by \: 2 \: and \: get \\ \: \frac{3}{4}
Helppppp me thank you
Answer:
y = 5/6x + 4
Step-by-step explanation:
y = mx + b
b = 4 because when x = 0, y = 4
m = (y2 -y1) / (x2 - x1)
where two points on the equation are (x1, y1) & (x2, y2)
Let's pick points (6,9) & (-6,-1)
m = (-1 - 9) / (-6 - 6)
m = -10 / -12 = 5/6
I have to solve this system equation by graphing. by the way the equation is all in one,not separate
Please answer these for a lot of points don’t scam me or I will report you a lot!
Answer:
t = total money spent
t = $2.99g + $3.25c
for b just plug in g and c
$2.99(7.9) + $3.25(4)
if you put it into a calculator you get that he spent a total amount of $36.62 for the 7.9 gallons of gas and the 4 cans of oil. (:
Answer:
A=45 + 15 + 30 = 90 B=15 (for both spaces) C= Pencils=3 boxes a crayons=1 erasers per bag=2 D= 12 pencils in a pack and 3 in a supply kit.
Step-by-step explanation:
That's it!
Write down in terms of n
Answer:
a) -2n+14
b) -5n+30
Step-by-step explanation:
negative because it goes down, any other questions im here to help
Twenty-four is ___% of 80
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
i really don't have a method for this, just try a number you think is close, go up, or down depending on the number
Use the graph of the polynomial function to find the factored form of the related polynomial. Assume it has no constant factor.
Answer:
I had a slightly different question, but I think its option D
(x - 3)(x + 3)
Easy question pls anwser
Answer:
A, C, D
Step-by-step explanation:
Since 15 is a positive integer, it can be represented in positive situations.
15 students add classes to schedule. = 15
15 points are taken away. = -15
15 point are given. = 15
15 dollars has been added to your salary = 15
15 dollars have been taken from your salary = -15
Answer:
a,b,c
Step-by-step explanation:
how do you simplify -1/2 (-5/6 + 1/3)?
Answer:
answer is 1/4
.... .. . ...... .
:-))
hope it helps you
Work out the value of angle x.
x
110%
Help:(
Answer:
40°
Step-by-step explanation:
Angles on a straight line add up to 180
180 - 110 = 70
As it's an isosceles triangle the opposite angles are the same
70 + 70 = 140
180 -140 = 40
Answer:
Step-by-step explanation:
180-110=70
x+70+70=180
x=180-140=40°
What is the slope of the line through (-9,6)(−9,6)
Answer:
Well I think It's undefined
Step-by-step explanation:
m = y2 - y1/x2 - x1
= 6-6/-9-(-9)
= 6-6/-9+9
m = 0/0
Answer:
slope is indeterminate
Step-by-step explanation:
Given (- 9, 6) and (- 9, 6) ← that is a single point
No line is formed by a point , thus the slope is indeterminate
What are the 5 positive integers that have a mode of 2 and 4, a median of 4 and a mean of 5
Answer:
10 i belive
Step-by-step explanation:
Hence, the five positive integers are 2, 2, 4, 4, 13.
What is a mean , median and mode?Mean- The arithmetic mean of a given data is the sum of all observations divided by the number of observations.
Median-The value of the middlemost observation, obtained after arranging the data in ascending or descending order, is called the median of the data.
Mode-The value which appears most often in the given data i.e. the observation with the highest frequency is called a mode of data.
Step by Step Solution:According to the question , it can be concluded that the total no. of observations are 5.
So , Let n=5
Let the integers be a, b, c, d and e
The question says that mode(s) are 2 and 4.
This indicates that 2 and 4 both have occurred more than once , and both have same frequency since both are modes.
Since we have only 5 integers , and 2 and 4 both are modes , so both these numbers have possibility to occur only twice.
Hence , it becomes , a=2 , b=2 , c=4 , and d=4
Hence we can say that out of five required integers ,four of them are 2 and 4.
Further , we are given that mean is 5.
therefore , using formula:
Mean = Sum of Observations / Number of observations(n)
Mean= (a+b+c+d+e) / 5
5 = (2+2+4+4+e) / 5
5 = (12+e)/5
Multiplying both sides by 5 , we get :
25 = 12+e
e=25-12
Hence , e = 13
So, the five positive integers are 2, 2, 4, 4, 13.
Learn more about Mean , Mode and Median at:
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Given M BC equals 38° and M
Please helpppp
Find the value of x. Your answer must be
Exact
Answer:
x = 8
Step-by-step explanation:
sin (30) = 4/x => solve for x.
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
Use the sine ratio because we have the hypotenuse and side opposite the given angle to work with:
[tex]sineX=\frac{opposite}{hypotenuse}[/tex]
Insert the values:
[tex]sin30=\frac{4}{x}[/tex]
Multiply both sides by x:
[tex]x(sin30)=x(\frac{4}{x} )\\\\x*sin30=4[/tex]
Divide both sides by sin30°:
[tex]\frac{x*sin30}{sin30} =\frac{4}{sin30}\\\\x= \frac{4}{sin30}[/tex]
Insert the value of x into a calculator:
[tex]x=8[/tex]
OR:
The little red square means that angle is 90º, and the other given angle is 30°. Since every triangle has a measure of 180°, the other missing angle is 60°. The given triangle is a 30°-60°-90° triangle with the following rules:
[tex]long.leg=short.leg*\sqrt{3}\\\\hypotenuse=short.leg*2[/tex]
The hypotenuse is represented by the variable x. We are given the value of the short leg, which is 4. Solve for the hypotenuse:
[tex]h=4*2\\\\h=8[/tex]
Therefore, the value of x is 8.
:Done
what is the range of the function f(x)=7-3x when the domain is {-4, -2, 0, 2}?
Answer:
{19,13,7,1}
Step-by-step explanation:
Since the domain is the input we have to plug in each of those numbers to get the range ( or the output.) When we plug in -4 we get 19. When we plug in -2 we get 13, when we plug in 0 we get 7 and when we plug in 2 we get 1. (:
What are the steps for simplifying an expression with exponents
Answer:
Step-by-step explanation:
1- Remove any grouping symbol such as brackets and parentheses by multiplying factors.
2- the exponent rule to remove grouping if the terms are containing exponents.
3- Combine the like terms by addition or subtraction.
4- Combine the constants.
There are 27 cupcakes. Nine are chocolate, 7 are
vanilla and the rest are strawberry. What is the
ratio of chocolate & strawberry cupcakes to
vanilla & chocolate cupcakes?
Answer:
9/11 = 7/9
Step-by-step explanation:
9 are chocolate
27 - 16 = 11
7 are vanilla
20:16
Step-by-step explanation:
9 chocolate
7 vanilla
11 strawberry
9+11=20, 9+7=16
SUPER EASY FOR POINTS!!!!solve: x-3=3x-2
Answer:
Polynomial equation solver
x-3=3x-2
Standard form:
−2x − 1 = 0
Factorization:
−(2x + 1) = 0
Solutions:
x = −1
2
= -0.5
Evaluate the expression: 25
A.
2·5
B.
2·2·2·2·2
C.
2·2·2·2
D.
2+2+2+2+2
Answer:
None of those are correct because none equal 25
Answer:
none
of them equel 25 on edge 2021
Step-by-step explanation:
How can you determine whether salt water is a solution or a compound?
Answer:
In the comments
Step-by-step explanation:
what is the value of k
-3(k+7)- 5k +4 = 23
a.) k=5 b.) k=-1 c.) k=5 d.)k=1
Answer:12.567
Step-by-step explanation:
Erika bought a piece of furniture for $450. If
the sales tax was 6.25%, how much did she
pay in sales tax?
Answer:
$28.13
Step-by-step explanation:
english: 6.25% of $450
math: (6.25/100) x 450 = 0.0625x450 = 28.125 = 28.13, rounded
3.Mr. Lewis is buying art supplies for his students. For this project, he can spend no more than $50.00.
He has to buy one quart of paint for $8 and then one art kit for each student. The kit costs $3 each.
How many students can do this art project?
Answer: 14 students
Step-by-step explanation:
50,00-8.00= 42.00 42.00/3.00=14.00
Answer:
Step-by-step explanation:
Anna spent $2.75 at the school store. She bought two erasers and some pencils. How many pencils did she buy? Write and Solve an equation. If needed, use P to represent the number of pencils, and E to represent the number of Erasers. (This is for Multi-step Linear Equations) Pencils: 0.75 each erasers: 0.25 each
Answer:
1.25 is what she spent so she got 5 pencils
Step-by-step explanation:
The lowest temperature recorded in Canada was -63 degrees. The highest temperature recorded in Canada was +45 degrees. What is the difference between the temperatures?
Answer:
108 degrees difference.
Step-by-step explanation:
63+45=108
Answer:
108
Step-by-step explanation:
45--63=108
Hope you have a great day!
