Answers
Answer:
(x+6)^2+(y-5)^2 = 3.1622^2
Step-by-step explanation:
The equation for a circle can be represented by (x+_)^2+(y+_)^2 = r^2
So, we already can find this portion of the equation knowing the center of the circle:
(x+6)^2+(y-5)^2= r^2
Next, we find the distance between the two given points to find the radius.
6-5 = 1
-3--6 = 3
1^2+3^2 = c^2
1+9= c^2
10=c^2
3.1622...
So, now we know the full equation.
(x+6)^2+(y-5)^2 = 3.1622^2
Related Questions
Let R be the region in the first quadrant bounded above by the graph of y=1−x^2 and below by the graph of y=1−√x, as shown in the figure above. What is the area of the region?
Answers
1/3
have a good day/night
If R be the region in the first quadrant bounded above by the graph of y=1−x² and below by the graph of y=1−√x then area is 1/3.
To find the area of the region bounded by the graphs of y = 1 - x² and y = 1 - √x in the first quadrant.
we need to determine the points of intersection and integrate the difference between the two functions over that interval.
To find the points of intersection, we set the two functions equal to each other:
1 - x²= 1 - √x
x²= √x
Squaring both sides again, we have:
x⁴ = x
x(x³ - 1) = 0
This equation gives us two potential solutions: x = 0 and x = 1.
To determine the limits of integration, we need to find the x-value where the two curves intersect.
Since y = 1 - √x represents the upper curve, we can set the two functions equal to each other and solve for x:
1 - x² = 1 - √x
x² = √x
x⁴ = x
Since we are only interested in the first quadrant, the solution x = 0 is not relevant.
Therefore, the only point of intersection is x = 1.
Integrating the difference between the two functions over the interval [0, 1] will give us the area of the region R:
A = ∫[0, 1] (1 - x²) - (1 - √x) dx
Expanding and simplifying the integrand:
A = ∫[0, 1] 1 - x² - 1 + √x dx
A = ∫[0, 1] -x² + √x dx
Integrating each term separately:
A = [-x³/3 + (2/3)x^(3/2)]|[0, 1]
A = [-(1/3) + (2/3)] - [0]
A = 1/3
Therefore, the area of the region R is 1/3.
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In the accompanying diagram, AB is a diameter of circle O, FECA and
FBG are secants, AD, DE, EB = 1:3:2 and BG = 40°. Find the measures of AD,
DE, EB, and AG.
Answers
Check the picture below.
so to split 180 in a 1 : 3 : 2 ratio, we'll simply divide 180 by (1 + 3 + 2) and distribute accordingly
[tex]\cfrac{180}{1+3+2}\implies 30\qquad \qquad \stackrel{1}{1(30)}~~:~~\stackrel{3}{3(30)}~~:~~\stackrel{2}{2(30)}\implies 30~:90~:60 \\\\[-0.35em] ~\dotfill\\\\ \widehat{AG}=180+40\implies \widehat{AG}=220[/tex]
8 An expression is shown. 7 - 3 x 2 + 6 + 3 Rewrite the expression so that it has a value of 35 by using one or more sets of parentheses. Answer
Answers
Answer:
(7-3) x (2+6) + 3 = 35
Step-by-step explanation:
7 - 3 = 4
2 + 6 = 8
4 x 8 = 32
32 + 3 = 35
Answer:
7-3(2+6)+3
4(8)+3
32+3
35
Step-by-step explanation:
For each statement, determine if the statement can be true or if the statement can never be true.
Select the correct choice in each row.
Answers
B.Yeah- vertical angles 90+90 equals 180
C.yeah-same as B
How many quarts is 16000 gallons
Answers
64000quarts is 16000gallons
Answer:
64,000 quarts are in 16,000 gallons
Step-by-step explanation:
Formula - Divide the volume by 4
Hope this helps (:
A company issued 70 shares of $100 par value common stock for $8,500 cash. The journal entry to record the issuance is:
Answers
The journal entry to record the issuance is:Debit cash $8,500; Credit paid-in capital excess par value; Credit preferred stock $7,000
Journal entryBased on the information given the appropriate journal entry to record the issuance is:
Journal entry
Debit Cash $8,500
Credit paid-in capital excess par value $1,500
($8,500-$7,000)
Credit preferred stock $7,000
(70 shares×$100)
(To record the issuance)
Therefore the journal entry to record the issuance is:Debit cash $8,500; Credit paid-in capital excess par value; Credit preferred stock $7,000
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I WILL GIVE BRAINIEST!!!! Help!!!! 4. A stone nudged off the Royal Gorge Bridge near Cañon City, Colorado, falls 1053 feet before
hitting water. Because its speed increases as it falls, the distance it travels each second
increases. During the first second, it drops 16 feet. During the next second, it drops an
additional 48 feet. During the third second, it drops another 80 feet. The distances traveled
each second form an arithmetic sequence:
16, 48, 80, ...
Part I: How far does the stone fall during the 5th second? Find and use the explicit formula.
a. What is the first term of the sequence?
b. What is d, the common difference?
c. Write the explicit formula in function notation. Use f(n) = f(1) + (n - 1)d, where f(1)
Answers
Answer:
First term = a= 16.
Common difference, d, = 32.
Answer for the fifth second is = 144 feet.
Step-by-step explanation:
This question is simply an Arithmetic Progression, AP,.
so, the 1st second represents the first term and so on.
for the common difference, you just subtract the first from the second term and confirm by subtracting the second from the third term and i got 32.
In an invasion game such as Soccer, Football, or Handball, how can you tell which team is offense and which team is defense?
Answers
Answer:
The easiest way to determine whose offense or defense would be to check where the players are positioned at. Obviously, the main goals of Soccer or Football are in the back meaning people who are defending the goal are most likely to be behind the teammates who are offensive (common sense).
Step-by-step explanation:
Consider the expression 6x6^0x6^-3
Answers
Answer:
6*(6^-3)=0.027777 recurring
Step-by-step explanation:
6^0=1
6^-3=0.004629629 recuuring
0.004629629 recurring *6=0.0.02777recurring
A 10 gallon tank of gas cost 22$. Find the unit price per gallon
Answers
Answer:
what...
Step-by-step explanation:
Answer:
2.2$
Step-by-step explanation:
22 divided by 10
Ann opened a savings account with an initial deposit of $250. Which combination will result in a zero balance in Ann's account?
A deposit $20 in the first week and withdraw $270 in the second week
B deposit $270 in the first week and withdraw $20 in the second week
C deposit $20 in the first week and withdraw $250 in the second week
D deposit $250 in the first week and withdraw $20 in the second week
Answers
Answer:
The answer is A 250+20 then 270-270=0
6. Which describes a situation in which two
quantities must have a sum of 0?
A. a temperature above 0°F and another
temperature that is below 0°F
B. an elevator that is below the lobby
and then is above the lobby
C. an element that has the same number
of electrons as protons
D. a golfer who plays two rounds and has
one above par and one below
par.
Answers
Consider the expression (x+5)(x-7)
Answers
Answer:
x^2-2x-35
Step-by-step explanation:
(x+5)(x-7)
x*x = x^2
-7*x= -7x
+5*x=+5x
+5*-7=-35
x^2-7x+5x-35
x^2-2x-35
whats the answer.......
Answers
Answer:
up
Step-by-step explanation:
We should go 4 units up from the zero in the coordinate plane.
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
Given that, in the ordered pair (3, 4), the value of y is 4.
Here, in the ordered pair (3, 4), 3 is x-coordinate and 4 is y-coordinate.
The perpendicular distance from the x-coordinate 3 and y-axis is 3 units, which is 3 units right to the y-axis.
The perpendicular distance from the y-coordinate 4 and x-axis is 4 units, which is 4 units up to the x-axis.
Hence, we should go 4 units up from the zero in the coordinate plane.
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What value of x makes this equation true? 12x - 15 =6 - 3x A. 7/3 B. 3/7 C. 5/7 D. 7/5
Answers
Answer:
7/5
Step-by-step explanation:
12x - 15 =6 - 3x
Add 3x to each side
12x+3x - 15 =6 - 3x+3x
15x -15 = 6
Add 15 to each side
15x -15+15 = 6+15
Divide by 15
15x/15 =21/15
x = 7/5
Answer:
[tex]\boxed{x = \dfrac{7}{5}}[/tex]
Step-by-step explanation:
Given equation:
[tex]12x - 15 = 6 - 3x[/tex]
To solve for x, we need to isolate the "x" variable on one side of the equation. The constant obtained on the other side of the equation will be the solution (x).
Add 15 both sides of the equation:
[tex]\implies 12x - 15 + 15 = 6 - 3x + 15[/tex]
[tex]\implies 12x = 21 - 3x[/tex]
Add 3x both sides of the equation:
[tex]\implies 12x + 3x= 21 - 3x + 3x[/tex]
[tex]\implies 15x= 21[/tex]
Divide both sides by 15 to isolate the cooeficient from "x".
[tex]\implies \dfrac{ 15x}{15} = \dfrac{21}{15}[/tex]
[tex]\implies x = \dfrac{21}{15}[/tex]
Simplify the value of "x" as required:
[tex]\implies x = \dfrac{7 \times 3}{5 \times 3}[/tex]
[tex]\implies \boxed{x = \dfrac{7}{5}}[/tex]
choose a random number between 1 and 20 . What is the probability that the number is greater than 5 and less than 15
Answers
Answer:
MY RANDOM ANSWER : my answer is 3
Step-by-step explanation:
The probablitiy of that is 9
Help picture below 3 problems easy will give brainlest
Answers
Answer:
7. 64
22. 12.9
12. 22
Step-by-step explanation:
x = 154 154 - 90 = 64
15% of 86 is 12.9
A triangle's angles must all add up to 180.
90 + 68 = 158 180 - 158 = 22
solve for x and y please
Answers
Answer:
Step-by-step explanation:
The 2 triangles are similar so corresponding sides are in the same ratio.
3/x = 6/16
6x = 48
x = 8.
9/y = 6/16 = 3/8
3y = 72
y = 24.
Answer:
y = 24 mx = 8 musing proportional equation:
[tex]\rightarrow \sf \dfrac{AC}{CE} = \dfrac{DB}{DE}[/tex]
[tex]\hookrightarrow \sf \dfrac{9}{6} = \dfrac{y}{16}[/tex]
[tex]\hookrightarrow \sf 9(16)} = {6y}[/tex]
[tex]\hookrightarrow \sf y = 24[/tex]
====================
[tex]\rightarrow \sf \dfrac{AE}{CE} = \dfrac{EB}{DE}[/tex]
[tex]\hookrightarrow \sf \dfrac{3}{6} = \dfrac{x}{16}[/tex]
[tex]\hookrightarrow \sf 3(16)} = 6x[/tex]
[tex]\hookrightarrow \sf x = 8[/tex]
What is the slope of
the line?
Give your answer as
a fraction in simplest
form.
Answers
Answer:
3/5
Step-by-step explanation:
Rhis time we dont have another dot, so we just start from zero. We rise 3 and then run 5.
Hoped this helped!!
What is the surface area for the following shape?
Answers
Answer:
The answer is : A 192 in cubic
Step-by-step explanation:
100 % correct
Answer:
208 in^2
Step-by-step explanation:
front: 6x4 = 24
back: 6x4 = 24
right: 6x8 = 48
left: 6x8 = 48
top: 4x8 = 32
bottom: 4x8 = 32
24+24+48+48+32+32 = 208
HELP PLEASE!!!!!!!!! ASAP
Answers
Answer:
2^16, 4^8 & 16^4
Step-by-step explanation:
=> (4^3)^2 × 4^2 = 4^6 × 4^2 = 4^8
=> 4^8 = (2^2)^8 =2^16
=> 4^8 = (4^2)^4 = 16^4
3x+2=2x+7 solve for x pls it homework due for tomorrow
Answers
Answer:
× = 5
Step-by-step explanation:
3x + 2 = 2x + 7
x + 2 = 7
x = 5
Answer:
2.5[tex] \: [/tex]
Given Equation,
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 3x+2=2x+7}}}}}}} \\ \\[/tex]
Subtracting 2 from both sides we get :
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x+2 - 2=2x+7-2}}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\rm { 4x=2x+5}}}}}}} \\ \\[/tex]
Subtracting 2x from both sides we get :
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x-2x=2x+5-2x}}}}}}} \\ \\ [/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\rm { 2x=5}}}}}}} \\ \\ [/tex]
Dividing 2 from both sides we get :
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\rm { \frac{2x}{2} = \frac{5}{2} }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\frak {x = 2.5 }}}}}}} \\ \\[/tex]
Therefore,
The value of x is 2.5Find the geometric mean of the pair of numbers. 3 and 10
Answers
Answer:
Either 6.5 or 3.60555127546
Step-by-step explanation:
Geometric mean is given by the formula :
[tex]\sqrt{a+b}[/tex] where a and b is the 2 numbers:
Substituting them in gives us :
[tex]\sqrt{3+10 }[/tex]
[tex]\sqrt{13}[/tex] = 3.60555127546
If that is wrong then it is given by the formula :
[tex]\frac{a+b}{2}[/tex]
Substituting these values gives us:
(3+10)/2 = 13/2 = 6.5
I'm sorry for not being capable to have a sure answer but I dont want to stick to one and get it wrong so ...
Brainliest if one of the 2 is correct.
PLEASEEE HELPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
98Step-by-step explanation:
the solution is in the picture
Find the surface area
Answers
=4 x π x 11^2
=4 x π x 121
=484π or 1520.530844cm^2
A car is considered to be _____.
all of the above
depreciable
collateral
an asset
Answers
Answer: The answer is letter B
Step-by-step explanation:
Can you guys help with number 12 and 13. I will give brainliest . Please show work or type how to write it.
Answers
Answer:
B
Step-by-step explanation:
A=2(wl+hl+hw)=2·(10·10+5.6·10+5.6·10)=424-100= 324
A=lw+l(w2)2+h2+w(l2)2+h2=10·10+10·(102)2+9.72+10·(102)2+9.72≈320
Pyramid: 320m2 - 100m2 = 220 m2
Hope this helps :)
I need help on the first and second ones
Answers
Answer:
I only know number 2 sorry
A triangle has angle measurements of 31°, 10°, and 139º. What kind of triangle is it?
Answers
Answer:
Its a Obtuse Angled Triangle
Step-by-step explanation:
This is due to one of the angles being over 90 Degrees
In geometry you can use deductive rules to____?
Answers
Answer: prove conjectures
Step-by-step explanation:
In geometry, you can use deductive rules to prove conjectures.