Write the standard equation of the circle with the center (-14,-5) that passes through the point (-7,5).
Answers
equation: (x + 14)² + (y + 5)² = 149
Given:
centre : (-14,-5)point (-7,5)=============
Formula's:
(x-h)² + (y-k)² = r²centre : (h, k)radius : rdistance between points : [tex]\sf \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Find the radius:
[tex]\rightarrow \sf \sqrt{(-7-(-14))^2 + (5-(-5))^2}[/tex]
[tex]\sf \rightarrow \sqrt{\left(-7+14\right)^2+\left(5+5\right)^2}[/tex]
[tex]\sf \rightarrow \sqrt{149}[/tex]
Equation of circle:
(x-h)² + (y-k)² = r²(x-(-14))² + (y-(-5))² = (√149)²(x + 14)² + (y + 5)² = 149Graph for clarification:
Answer:
[tex]\sf (x+14)^2+(y+5)^2=149[/tex]
Step-by-step explanation:
Standard equation of a circle: [tex]\sf (x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius of the circle)
Substitute the given center (-14, -5) into the equation:
[tex]\sf \implies (x-(-14))^2+(y-(-5))^2=r^2[/tex]
[tex]\sf \implies (x+14)^2+(y+5)^2=r^2[/tex]
Now substitute the point (-7, 5) into the equation to find r²:
[tex]\sf \implies ((-7)+14)^2+(5+5)^2=r^2[/tex]
[tex]\sf \implies (7)^2+(10)^2=r^2[/tex]
[tex]\sf \implies 149=r^2[/tex]
Final equation:
[tex]\sf (x+14)^2+(y+5)^2=149[/tex]
Related Questions
if the tempture is 39.2 degrees F what would the tempture be in celsius
Answers
Answer:
4 degrees celsius
Step-by-step explanation:
Chapter 5 how are integers and absolute value used in a real-world situations?
Answers
-x^2+16x+64=0 need to know using quadratic formula to find the zeroes
Answers
Answer:
[tex]x= 8\left(1- \sqrt 2 \right)\\\\\\x= 8\left(1+ \sqrt 2 \right)\\[/tex]
Step by step explanation:
[tex]-x^2 +16x +64 =0\\\\\text{Use the quadratic equation formula,}~~ x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{In this case,}~ a=-1, b=16, c=64\\\\\\x=\dfrac{-16\pm\sqrt{16^2 -4 \cdot (-1)(64)}}{2(-1)}\\\\\\~~~=\dfrac{-16\pm\sqrt{512}}{-2}\\\\\\~~~=\dfrac{-16 \pm \sqrt{256 \times 2}}{-2}\\\\\\~~~=\dfrac{-16 \pm 16\sqrt2}{-2}\\\\\\~~~=8 \pm(-8)\sqrt 2\\\\\text{Hence,}\\\\x=8-8\sqrt 2 = 8\left(1- \sqrt 2 \right)\\\\x= 8+8\sqrt 2 = 8\left(1+ \sqrt 2 \right)[/tex]
Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ < 360°.)
= 6i + 2sqrt3j
Answers
[tex]6i~~ + ~~2\sqrt{3}j\implies < \stackrel{a}{6}~~,~~\stackrel{b}{2\sqrt{3}} > \\\\[-0.35em] ~\dotfill\\\\ \stackrel{magnitude}{\sqrt{a^2+b^2}}\implies \sqrt{6^2+(2\sqrt{3})^2}\implies \sqrt{36+(2^2\cdot 3)}\implies \sqrt{36+12}\implies \sqrt{48} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{direction}{tan^{-1}\left( \cfrac{b}{a}\right)}\implies tan^{-1}\left( \cfrac{2\sqrt{3}}{6} \right)\implies tan^{-1}\left( \cfrac{\sqrt{3}}{3} \right) \\\\\\ tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies 30^o[/tex]
A spinner is labelled with three colors: Red, Green and Blue Marcus spun the spinner once and tossed a coin once.
Construct a tree diagram for this situation. Determine how many outcomes are possible Complete your work in the
space provided or upload a file that can display math symbols if your work requires it. Include the tree diagram in yo
answer.
Answers
Answer:
there are three outcomes
Step-by-step explanation:
three colours= three outcomes
don't have a diagram
Convert 1.5 kg to grams
Answers
Answer:
1500 g
Step-by-step explanation:
The SI prefix "kilo-," abbreviated "k," means 1000. So, 1.5 kilograms is ...
1.5×(1000 g) = 1500 g
PLEASE HELP 100 POINTS AND BRAINLY
Answers
Answer:
Step-by-step explanation:
Answer:
(2 , 2) is the solution
Step-by-step explanation:
7x - 4y = 6
-6x + 7y = 2
49x - 28y = 42
-24x + 28y = 8
25x = 50
therefore
x = 2
7x - 4y = 6
7×2 - 4y = 6
14 - 4y = 6
14 - 6 = 4y
8 = 4y
8 ÷ 4 = 4y ÷ 4
2 = y
therefore
x = 2
y = 2
hope this will helpful to you....
Park
Avenue
Describe the lines that intersect at Park Avenue and Hawthome Boulevard. Explain.
Answers
Answer:
make it clearer
Step-by-step explanation:
In a certain state, speeding fines are determined by the
formula F = 5 (X-60 + 40, where F is the cost in dollars of the
fine if a person is caught driving x miles per hour. How fast a person was speeding if the fine comes to $115?
Answers
Step-by-step explanation:
If u casually solve the given equation by putting 115 instead of 'F' u will get the value of 'X' which is 43 and i guess it's the answer
what is the circumference of a circle with a diameter of 7 in
Answers
Answer:
22 inches
Step-by-step explanation:
Given:
Diameter - 7 inches Radius - 3.5 inchesCircumference of circle = πd , where d is the diameter of a circle.
= 22/7 * 7 inches
Circumference = 22 inches
I need help look at the picture attached
Answers
Answer:
340.8 m
Step-by-step explanation:
Find the area of rectangles:
15 x 8 = 120
6x8=48
16x8=128
Find area of triangle:
1/2 5.6 x 16 = 44.8
Add together:
120 + 48 + 128 + 44.8 = 340.8 m
Hope this helps :)
can someone help with this pls:)!!!!
Answers
Answer:
-8.5
Step-by-step explanation:
no step involved just trace 2 out from y-axis
What is the value of z?
Enter your answer in the box
Answers
Answer:
23 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle = 180
z + 62 + 95 = 180
z = 23 degrees
Which statement describes the graph of the function?
The function has holes when x = 0 and x = 4.
The function has vertical asymptotes when x = 0 and x = 4.
The function has a vertical asymptote when x = 0 and a hole when x = 4.
The function has a hole when x = 0 and a vertical asymptote when x = 4.
Answers
Answer:
the function has vertical asymptotes when x = 0 and x = 4
Step-by-step explanation:
2/(p+1)- 1/(p+1)+4/(1-p^2)
Answers
Answer:
(5-p)/(p+1) (1-p)
Step-by-step explanation:
2/(p+1) -1/(p+1)+4/(1+p)(1-p)
{2(1-p)-(1-p)+4}/( p+1) (1-p)
on solving we get
(5-p)/(p+1 )(1-p)
Find the distance between the two points in simplest radical form.
(-8,3) and (-2,-5)
Answers
Here we would be using distance formula to calculate the distance between those two points.
Points are,
(-8,3) (-2,5)★ Distance Formula :
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]We have :
x1 = -8 x2 = -2 y1 = 3 y2 = -5Substituting the values in the formula :
Refer the attachment.The distance between the pair of points (-8,3) and (-2,-5) in radical form is √100.
What is the distance between the pair of points?The distance formula can be expressed as:
[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}[/tex]
Given the coordinates of the pair of points:
Point 1( -8,3 )
x₁ = -8
y₁ = 3
Point 2( -2,-5 )
x₂ = -2
y₂ = -5
Plug the coordinates into the distance formula and simplify.
[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}\\\\d = \sqrt{( -2 - (-8) )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( -2 + 8 )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( 6 )^2 + ( -8 )^2}\\\\d = \sqrt{36 + 64}\\\\d = \sqrt{100}[/tex]
Therefore, the distance is √100 units.
Learn more about the distance formula here: brainly.com/question/24509115
#SPJ3
 A soccer coach is passing out water bottles to the team after practice. The water comes in 12-ounce bottles. If the soccer coach hands out 1,152 ounces of water to 32 players, how many bottles will each player get?
Answers
Answer:
Step-by-step explanation:
N 32 players
Q1. 12 onces bottles
Q2. 1.152 onces water
N bottle?
1.152/12= 96 (number of bottles)
96/32=3 (number por player)
Rachel made $176 for 11 hours of work.
At the same rate, how many hours would she have to work to make $128?
Answers
Answer:
8 hours
Step-by-step explanation:
11 hours = $176
⇒ 1 hour = $176 ÷ 11 = $16
To determine how many hours she would have to work to make $128, divide $128 by $16:
⇒ number of hours = $128 ÷ $16
= 8 hours
___________________________________________________
Calculate[tex]\frac{128\times11}{176}[/tex]
___________________________________________________
Cross out the common factor[tex]\frac{8\times11}{11}\\ 8[/tex]
I hope this helps you
:)
Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.
The mean of the data is .
Answers
I think this is the answer .
Answer:
4.4
Step-by-step explanation:
please help, there is a picture.
Answers
Answer:
B (2.5, -0.5)
can someone help me with this and i have more of these i need help on
Answers
Answer:
Square
Step-by-step explanation:
Hope this helps!
Answers:
Choice A) SquareChoice B) PentagonChoice D) TrapezoidChoice E) HexagonChoice F) RectangleChoice G) TriangleIn other words, it's nearly everything except choice C (octagon).
==========================================================
Explanation:
Search out "Cross sections of a cube" and you'll see visual examples of what is possible.
Here are the list of possible cross sections
SquarePentagonTrapezoidHexagonRectangleTriangleA parallelogram is also possible, but that isn't one of the listed choices so we can ignore it. The triangle can either be equilateral or won't be, depending how the cross section plane is oriented.
Nearly every box is checked except for the octagon, because we simply don't have enough faces to get 8 sides needed for the cross section.
4x+11y=7
4x+3y=-1
what are the steps
Answers
Answer:
x = -1, y = 1
Step-by-step explanation:
Given that:
[tex]\begin{bmatrix}4x+11y=7\\ 4x+3y=-1\end{bmatrix}[/tex]
Isolate x for 4x + 11y = 7 which ⇒ [tex]x=\frac{7-11y}{4}[/tex]
Substitute [tex]x=\frac{7-11y}{4}[/tex] into the equation: which is:
[tex]\begin{bmatrix}4\cdot \frac{7-11y}{4}+3y=-1\end{bmatrix}[/tex]
Drop Down to:
[tex]\begin{bmatrix}7-8y=-1\end{bmatrix}[/tex]
Isolate y for 7-8y = -1: y = 1
Thus, [tex]x=\frac{7-11y}{4}[/tex]
Substitute y = 1
Hence,
[tex]x=\frac{7-11\cdot \:1}{4}=-1[/tex]
Solution ⇒ x = -1 and y = 1
~learn with lenvy~
Answer:
x = -1 , y = 1
Step-by-step explanation:
Starting with x
x = 7 - 11y/4
4 × 7-11y/4 + 3y = -1
7 - 8y = -1
Now for y
7-8y = -1 ⇒ y = 1
Hence, x = -1 and y = 1
[RevyBreeze]
bought a 45-inch television. The size of the TV is measured diagonally.
The television has a height of 27inches. What is the length of the TV?
3
MATH
A 30 in.
B
32 in.
C 36 in.
D 39 in.
45 in.
27 in.
Answers
Answer:
C) 36 inches
Step-by-step explanation:
Let the diagonal be the hypotenuse and use Pythagoras' Theorem:
[tex]a^2+27^2=45^2\\a^2+729=2025\\a^2=1296\\a=36[/tex]
So, the length of the TV was 36 inches.
For which values of x is the expression undefined
Answers
Answer:
x = -7
Step-by-step explanation:
Any expression is undefined when a nonzero number is in the numerator and the denominator = 0. For this expression, set the denominator = to 0 and solve for x:
x + 7 = 0
x = -7
At x = -7, this expression is undefined.
I hope this helps!
Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for
$17 each.
What is the mean amount that he spent?
$34.62
$32.81
$25.86
$22
Answers
Answer:
25.86
Step-by-step explanation:
22 * 5 = 110
50 * 3 = 150
17 * 6 = 102
110 + 150 + 102 = 362
362 / 14 = 25.86
Suppose that the first four moves of a tic-tac-toe game are as shown.
Does the first player (whose moves are marked by Xs) have a strategy that will always win? (If no, explain why. If yes, show the winning strategy in a form of a game tree)
Answers
The first player using Xs does indeed have a strategy to always win by placing an X in the Middle right box.
Why is this a winning strategy?When the first player places an X in the middle right spot, the second player will have to place an O in two places to avoid the first player winning.
They would have to place an O in the middle left space and in the bottom right space. Seeing as they can't place an O in two boxes at once, the first player will be able to place an X in the empty box out of the two, and win.
In conclusion, there is a winning strategy.
Find out more on strategy in tic-tac-toe at https://brainly.com/question/15262069.
Step-by-step explanation:
The first player has two possible winning moves.
1. Middle right boxRegardles the next move the first player has one of the two options next: middle left or bottom right box
2. Bottom right boxRegardles the next move the first player has one of the two options next: middle right or top left box
A researcher collected the heights of male seniors at a high school. The data collected are normally distributed with a mean of 70.21 inches and a standard deviation of 1.35.
What is the z-score of a high school senior who is 68 inches tall?
Enter your answer rounded to the nearest hundredth, like this: 4.23
Answers
Z = z-value
x = observed value
sd = standard deviation
Z = (68-70.21)/1.35
Z = -1.64 (this is below mean average)
Evaluate 2x(8+4)-7
Please do some working out
Answers
Answer:
24x-7
Step-by-step explanation:
First, we distribute the 2x.
2x * 8 = 16x
2x * 4 = 8x
16x+8x-7
24x-7
This is the final result / your answer :
24x-7
Answer:
24x-7
Step-by-step explanation:
1. Add 8 and 4, this leaves us with 2x(12)-7
2. Multiply 12 and 2. This leaves us with 24x-7
6. За день туристы прошли 22 km. 3 часа они
шли со скоростью 4 km/h, а остальное рас-
стояние
со скоростью 5 km/h. Сколько вре-
мени туристы были в дороге?
Answers
Answer:
5 hoursStep-by-step explanation:
The question isThe tourists walked a distance of 22 km during a day.
The first 3 hours they walked with the speed of 4 km/h and the rest of the distance with the speed of 5 km/h.
What was the total time they walked.
----------------------
Let the time the tourists walked with 5 km/h is t, then we have the following equation for the total distance
3*4 + t*5 = 22Solve for t
12 + 5t = 225t = 22 - 125t = 10t = 2The total time was
3 + 2 = 5 hours2. Bart sold 5 more than 3 times as many refrigerators last month than the number of
refrigerators sold by Bill. If together they sold 125 refrigerators last month, how many did
each person sell?
Answers
Answer:
Bart 95 bill 30
Step-by-step explanation:
Bill=b
Bart = (3b+5)
b+ (3b+5) = 125
4b=120
b=30 Bill sold 30 refrigerators
3(30)+5 = 95 (Bart sold 95 refrigerators)
95+30=125