Answer:
The point (6,1) lies inside the circle.
Step-by-step explanation:
Equation of a Circle
A circle centered at the point (h,k) and with radius r, can be expressed with the equation:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The center of the given circle is (0,0) and the radius is [tex]r=\sqrt{38}[/tex], thus the equation of the circle is:
[tex](x-0)^2+(y-0)^2=(\sqrt{38})^2[/tex]
Simplifying:
[tex]x^2+y^2=38[/tex]
Each point (x,y) meeting the condition of the equation lies exactly on its circumference. For example, the point [tex](\sqrt{2},6)[/tex] belongs to the circumference, but the origin (0,0) is inside the circle, and the point (5,5) is outside the circle.
We can tell the difference by evaluating the equation at each point. For the first point [tex](\sqrt{2},6)[/tex], the equation is:
[tex](\sqrt{2})^2+6^2=2+36=38[/tex]
The equation is satisfied.
For the origin (0,0):
[tex]0^2+0^2=0[/tex]
For the point (5,5):
[tex]5^2+5^2=50[/tex]
We can conclude that if the left side is greater than 38, the point is outside the circle, if it's less than 38, the point is inside the circle.
Let's test the point (6,1):
[tex]6^2+1^2=37[/tex]
The point (6,1) lies inside the circle.
(3,4)(4,-3)(7,4)(3,8)
Is it a function ?
Answer:
yes
Step-by-step explanation:
f(x) = x2+9 g(x) = X-9 Find f(x)-g(x).
Answer:
Hi there
Your answer is
x^2 -x +18
Step-by-step explanation:
( x^2 + 9 ) - (x-9)
x^2 + 9 -x +9
x^2 -x +18
You had $21 to spend on three pens .After buying them you had $12 how much did each pen cost
Tabby is building two models of the Eiffel Tower. The scale factor of Model 2 to Model 1 is
is 1
Some of her measurements are shown in the table.
Enter numbers in the boxes to complete the table.
Eiffel Tower
Model 1
Model 2
(feet)
(inches)
(inches)
Height
984
11.808
Width of
328
Base
Complete question :
Tabby is building two models of the Eiffel Tower. The scale factor of Model 2 to Model 1 is 1/4
____________Eiffel Tower(ft) _ M 1 (in) _M2 (in)
Height _______ 984 ______11.808 ____?
W of base ____ 328 _______? _______?
Answer:
Model 1 :
Width of Base = 328 * 0.012 = 3.936 inch
Model 2 :
Height = 11.808 * 4 = 47.232 inches
Width of base = 4 * 3.936 = 15.744 inches
Step-by-step explanation:
____________Eiffel Tower(ft) _ M 1 (in) _M2 (in)
Height _______ 984 ______11.808 ____?
W of base ____ 328 _______? _______?
Scale factor of Model 2 to Model 1 is 1/4
Model 1 : Model 2
1 : 4
The scale factor of actual tower to model 1
984ft = 11.808 inches
Hence,
1 ft = 11.808 / 984
1 ft = 0.012 inch
Model 1 :
Width of Base = 328 * 0.012 = 3.936 inch
Since ;
Model 1 : Model 2 ; 1 / 4
1 : 4
Model 2 :
Height = 11.808 * 4 = 47.232 inches
Width of base = 4 * 3.936 = 15.744 inches
Identify an obtuse angle in this figure. Use the symbol"<" to name the
angle for full points *
Answer:
Angles 10 and angles 7 are obtuse angles.
Step-by-step explanation:
Which of these is NOT a major organ of the circulatory system?*
O heart
veins
capillaries
O arteries
O lungs
Answer:
Lungs im pretty sure
Answer:
Lungs are not part of the circulatory system. They're part of the respiratory system
Step-by-step explanation:
HELP PLEASE SIXTH GRADE GUYS
Answer:
-3
Step-by-step explanation:
The answer would be -3.
Please hurry!! (But no rush, thank you)
Answer:
The answer is d 3 to the power of 108
Answer:
c
Step-by-step explanation:
:) srry if its wrong
Which of the following expressions is not equivalent to -4.5 • -8?
A) (8)(-4.5)
B) 8.4.5
C) -8.-4.5
D) (4.5)(8)
Answer: (8)(-4.5)
Step-by-step explanation: If you were to multiply -4.5 • -8 it would be a positive number but if you multiply (8)(-4.5) that would equal a negative number
Which ones better? How much more r u saving?
Answer:
2 L bottle for 1.69
the unit price for the two liters is cheaper than one for 12 pack
the 87 person team has 1/2 of a water cooler left, how much should each person get?
Answer:
0.574% each
Step-by-step explanation:
1/2 : 87 = 0.00574
0.00574 * 100 = 0.574% each
You are a contractor and charge $65 for a site visit plus an additional $15 per hour for each hour you spend working at the site. Write and solve an equation to determine how many total hours you have to work to earn $950 working at two separate work sites.
Answer:
54.6 hours
Step-by-step explanation:
65x2 is 130 130-950 is 820 then 820 divided by 15 is 54.6 therefore meaning you have to work 54.6 hours to get 950$ you can check this by doing 54.6x15+130, might not be exact because i rounded to the nearest tenth.
Hope this helps!
Which of the following is an example of a linear equation in slope intercept form?
Can someone help me find the scale factor and the missing sides please?
Answer:
x = 6, y = 45
Step-by-step explanation:
[tex]scale \: factor = \frac{13}{32.5} \\ = \frac{2}{5} \\ \\ \frac{x}{15} = \frac{18}{y} = \frac{2}{5} \\ \\ \implies \frac{x}{15} = \frac{2}{5} \\ \\ x = \frac{2 \times 15}{5} \\ \\ x = 6 \\ \\ \frac{18}{y} = \frac{2}{5} \\ \\ y = \frac{5 \times 18}{2} \\ \\ y = 45[/tex]
this is 8th grade math and i dont understand it
Select all input values for which f(x)=6
Choose all answers that apply:
a) x=-7
b) x=-5
c) x=2
d= none of the above
Answer: none of the above
Step-by-step explanation: there is no such input value.
Answer:
None of the above because none of the other answers make sense
Step-by-step explanation:
What is Addition property of equality
a. If a=b, then a+c=b+C
b. If a=b, then a-c=b-c
c. If a=b, then acaba
d. If a=b, then a/c=b/c
a b and d
not c
dont put c
aº
Exhibits
If the measure of b is 85 degrees, what must be the measure of d? Explain.
Math symbols
Answer:
d = 95
Step-by-step explanation:
b and d are a linear pair, so the sum of their measures is 180 deg.
b + d + 180
85 + d = 180
d = 95
Answer:
If the measure of b is 85 degrees, what must be the measure of d?
Step-by-step explanation:If the measure of b is 85 degrees, what must be the measure of d?
A rectangle’s width is 8 inches long. If the length is 3 times the width, what is the perimeter of the rectangle?
Answer:
the perimeter is 64
Step-by-step explanation:
the length is 24 because 8*3 = 24 and since it is perimeter of a rectangle there are two sides that are the same length which is the length are 24+24 and width is 8+8 and all together
24+24+8+8=64
Which numbers are a distance of 5 units from 3 on the number line?
Write your answer : ___ and ___
3 + 5 = 8
3 - 5 = -2
-2 and 8
How many angles are there?
Answer:
There are 7 angles.
Step-by-step explanation:
Solve for I.
-9x + 5 < 17 AND 13+ 25 < -1
Answer:
answer it is 17 for real it is
Noah ordered 16 cupcakes and paid $40. Jada ordered 52 cupcakes and paid $104. Did they pay the same rate?
10x+2y=-30 x and y intercept
Is 2,710,506 divisible by 8?
Answer:
no
Step-by-step explanation:
Tameca already has $55 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account.
Answer:
9 weeks
Step-by-step explanation:
5 x 9 = 45
45 + 55 = 100
Answer:
55 + 5x ≥ 100.
5x ≥ 45.
Step-by-step explanation:
write the first equation shown above first, then subtract 55 from 55 and 55 from 100. do not use 0 later on in your equation! 100 - 55 = 45. then write the second equation. after you write the second equation, divide 5 by 5 and 45 by 5. do not use 0 later on in your equation! 45 divided by 5 = 9. she must save for 9 weeks. i hope this works! here is a picture of my work to help you understand it better! <3 it’s kind of blurry, but if you focus enough it’s easier to read.
Write the equation of the line perpendicular to y=4x+2 and passes though the point (1,1). PLZ HURRY!
Answer: Y= -1/4x + 1 1/4
Step-by-step explanation: Perpendicular means the slope will be negative reciprocals
if your gross pay was $365 and your net pay was $313.90 what percent of your pay went towards deductions
Graph the linear function described by the equation
y = -3x - 2.
Step 1: Identify the slope and y-intercept.
slope =
The slope of given line is -3 and the y-intercept of the line is -2.
What is Straight Line?A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.
Here, we know that slope intercept form of straight line;
y = mx + c
Given equation;
y = -3x - 2
compare this equation with general equation, we get
m = -3 and c = -2
Thus, The slope of given line is -3 and the y-intercept of the line is -2.
Learn more about Straight line from:
https://brainly.com/question/27560536
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Answer:
Graph the linear function described by the equation
y=-3x-2
Step 1: Identify the slope and y-intercept.
slope =
Step-by-step explanation:
if 9/24 = 3/x then x is what?
Answer:
24
Step-by-step explanation:
Answer:
x=8
Hope this helps! Please mark Brainliest!