Answer:
[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is the center of the circle and r is the radius.
For this circle, the center is (5, -9) and the radius is 12. Therefore:
[tex]h= 5 \\k= -9 \\r=12[/tex]
Substitute the values into the formula.
[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]
Distrubute the -1 into the -9.
-(-9)= -1*-9= 9[tex](x-5)^2+(y+9)^2=(12)^2[/tex]
Solve the exponent.
(12)²= 12*12=144[tex](x-5)^2+(y+9)^2=144[/tex]
The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144
Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.
The equation of a circle.Mathematically, the standard form of an equation of a circle is given by;
(x - h)² +(y - k)² = r²
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Given the following data:
Coordinates (h, k) = (5, -9).Radius = 12.Substituting the given parameters into the formula, we have;
(x - 5)² +(y - (-9))² = 12²
(x - 5)² +(y + 9)² = 144
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In the diagram of collin ear points, LP=27, LM=NP, and MN=3
16. LM=
17. NP=
18. MP=
19. NL=
Answer:
Step-by-step explanation:
Given:
LP = 27
LM = NP
MN = 3
16). LP = LM + MN + NP
27 = LM + 3 + LM
27 = 3 + 2(LM)
LM = 12
17). Since, LM = NP
NP = 12
18). Since, MP = MN + NP
MP = 3 + 12
MP = 15
19). NL = LM + MN
NL = 12 + 3
NL = 15
2p+18=200 solve for p show your work
Answer:
91
Step-by-step explanation:
2p+18=200
subtract 18 on both sides
2p=182
Divide 2 on each side
p=91
Answer:
p=91
Step-by-step explanation:
2p+18=200
p+9=100 (Divide both sides by 2)
p=91 (Subtract 9 from both sides)
10 points Find the missing angle.
Answer: 63
Step-by-step explanation:
Add the two numbers you have then subtract from 180 because a triangle is 180 degrees
1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =
10 What is the length of side LM?*
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
Length of MN ( Base ) = 8 Length of NL ( Hypotenuse ) = 10[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Length of LM ( Perpendicular )[tex] \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : [/tex]
[tex] \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}[/tex]
⤑ [tex] \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }[/tex]
⤑ [tex] \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }[/tex]
⤑ [tex] \sf{ \sqrt{100 - 64}} [/tex]
⤑ [tex] \sf{ \sqrt{36}} [/tex]
⤑ [tex] \boxed{ \sf{6\: units}}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}[/tex]
Hope I helped ! ツ
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Drag the numbers to create three ratios that are equivalent to 4:12.
Numbers can only be used once.
Pls help
what is the name for the marked?
Answer:
C not sure though
Step-by-step explanation:
please please help me
Answer:
-0.88
Step-by-step explanation:
(f/g)(9)=(x+7)/-2x and the 9 brackets is the value of x with which you have to substitute. after u do that you get (9+7)/-18=16/-18=-0.88(8)
WORTH 67 POINTS!! PLEASE HELP QUICK!!
A.
B.
C.
D.
Step-by-step explanation:
When m > -3.1, the line should extend towards the right and the point at 3.1 should be an empty circle. (as m = 3.1 is not included in the solution set)
Hence the answer is Option D.
P.S. The reason why A is wrong is because the number line is wrongly labelled. -3.3, -3.2 and -3.1 are all less than -3 and should be on the left of the number line.
Find the domain and range. Graph the relation and determine whether it is a function or not
{(0,0)(1,-1),(2,-4),(3,-9),(4,-16)}
please help im about to fail math
The domain is the set of all x-coordinates and
the range is the set of all y-coordinates.
So the domain for this relation is {0, 1, 2, 3, 4}
and the range is {0, -1, -4, -9, -16}.
Now, I graph these points below.
For the relation tobe a function, it must pass the vertical line test.
If we can draw a vertical line that passes through only one point
anywhere on the graph, the relation is a function.
Notice that if you were to draw a vertical line,
no line would intersect two points on the same line.
Kendra just bought a new house and needs to buy new sod for her backyard. If the dimensions of her yard are 24.6 feet by 14.8 feet , what is the area of her yard
Answer:
364.08 Feet
Step-by-step explanation:
Answer:
Step-by-step explanation:
the yard will have the area is A= L*W
A=24.6*14.8=364.08 ft^2
Solve for x round to one decimal place.
Answer:
i wanna say 12 but i am not sure!!!!!!!!!
Step-by-step explanation:
applied the distributive property to factor out the greatest common factor 35 + 14
Answer:
35+14=7(5+2) , so you have the alternative way of computing the sum.
49=7(7)
Answer:
35+14=7(5+2)
Step-by-step explanation:
What will be the 50th term in the sequence defined by an=11+5(n-1)
Answer:
234
Step-by-step explanation:
Translate the following words into an expression:
The quotient of "y" and 3
A. Y/3
B. 3/y
C. 3y
D. Y * 3
Two less than the quotient of a number and 3 is 16. What is the number? Let n be the unknown number
Answer:
13
Step-by-step explanation:
16/1 -3/1 = 16-3
= 13answer is unknow no.
given the function f(x)=x^3 +x^2-2x+1 what is the resulting function f(x) is shifted to the left one unit
Answer:
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Step-by-step explanation:
Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).
In this question, we have:
[tex]f(x) = x^3 + x^2 - 2x + 1[/tex]
Shifting 1 unit to the left:
[tex]f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1[/tex]
[tex]f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1[/tex]
[tex]f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1[/tex]
[tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
A rectangular garden has a perimeter of 50cm. The length of one side is 15cm. What is the measurement of the width?
Answer:
The measurement of the width is 10cm.
if you roll a pair of dice, what is the probability that both are 3's or that the sum is more than 8
Answer:
11/36
Step-by-step explanation:
We have 36 possible outcomes when rolling a pair of dice.
Only 1 outcome gets both 3's. (3 3)
For the sum to be greater than 8, there are 10 outcomes.
(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)
The probability is therefore (1+10)/36=11/36.
aight man plz help me lol
six less than six times a number is 12
Answer:
x = 3
equation: 6x - 6 = 12
Step-by-step explanation:
6x - 6 = 12
aka:
6x + -6 = 12
+6. +6
6x = 18
/6. /6
x = 3
check: 6(3) - 6 = 12
18 - 6 = 12
12 = 12
Rationalize the denominator and simplify 6/√2-√3
Answer:
Step-by-step explanation:
[tex]\frac{6}{\sqrt{2} - \sqrt{3} } * \frac{\sqrt{2} + \sqrt{3} }{\sqrt{2} + \sqrt{3} }[/tex]
[tex]\frac{6\sqrt{2} + 6\sqrt{3} }{2-3}[/tex]
[tex]-6(\sqrt{2} + \sqrt{3} )[/tex]
The fraction after rationalizing the denominator is given by the equation
A = -6 ( √2 + √3 )
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction be represented as A
Now , the value of A is
A = 6 / ( √2 - √ 3 ) be equation (1)
Now , on simplifying the equation , we get
To rationalize the denominator of the fraction ,
Multiply the denominator by its conjugate ,
So , the conjugate of ( √2 - √ 3 ) = ( √2 + √ 3 )
Multiplying the numerator and denominator of the fraction by ( √2 + √ 3 )
A x ( √2 + √ 3 ) / ( √2 + √ 3 )
Substituting the values in the equation , we get
[ 6 / ( √2 - √ 3 ) ] x ( √2 + √ 3 ) / ( √2 + √ 3 )
On simplifying the equation , we get
6 ( √2 + √ 3 ) / ( 2² - 3² )
So , the value of A is A = 6 ( √2 + √ 3 ) / ( -1 )
A = -6 ( √2 + √ 3 )
Therefore , the value of A is A = -6 ( √2 + √ 3 )
Hence , the equation A = -6 ( √2 + √ 3 )
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A scale drawing for a backyard is shown below.
In the drawing, 2 cm represents 5 m.
Assuming the patio is rectangular, find the area of the real patio.
Answer:
50 m²
Step-by-step explanation:
2 cm for length = 5 m. 4 cm for width = 10 m. Area = width • length. 10•5=50
PLEASE HELP!!!!
A taxi charges $4.00 for the first mile plus $1.25 for each additional mile.
On a fare of $16.50, how long was the ride?
Answer:
The fare ride was 11 miles.
Step-by-step explanation:
So it says that for the first mile the taxi charged $4.00 okay? so then it says for each additional mile he charges $1.25 so what i did was add the $4.00 and then kept on adding $1.25. so $4.00 plus $1.25 equals $5.25 so continue adding $1.25 till you get to exactly $16.50.. Count up exactly how many "$1.25's" it took to get to $16.50 so it would be exactly 10 times you had to add $1.25 to it and we cant forget the first mile which was $4.00 so thats an additional mile so then it would 11 miles !
A way to remember corresponding angles is to remember: *
Give the coordinates of each transformation of (2, –3)
1. horizontal translation of 5
2.vertical translation of –1
3.reflection across the x-axis
4. reflection across the y-axis
Answer:
Step-by-step explanation:
factor polynomial
x^ + 9x + 20
Which system of equations is represented by the graph?
10
8
(4.0)
-10-8
-6 -4 -2
8
1D
(-1,-571
y = x +4
X+4
y =
X+2
y = x - 4
X+4
y =
X+2
y = x + 4
X-4
y =
X+2
y = x - 4
X-4
y =
X+2
Answer:
-6
Step-by-step explanation:
is it
sam counted his heart beats while resting his heart beat 220 times in 4 minutes Sam heart beat at the same rate for the 4min .complete the ratio of beats to min
Answer: 220:4 or 220 to 4
Step-by-step explanation:
Answer:220:4
Step-by-step explanation:
Who ever helps gets barinliest.
Answer:
1/8
Step-by-step explanation:
The second option is the answer
What is the area of the shaded region?
(25/1 - 48) cm
(2571 - 30) cm
(2572 - 24) cm
(2571 – 12) cm2
Answer:
Option (3)
Step-by-step explanation:
From the figure attached,
Area of the shaded region = Area of circle - (Area of the ΔOAB + Area of ΔOED)
Area of the circle = πr²
= π(5)²
= 25π cm²
Area of ΔOAB = 2(Area of ΔOCB)
AB = 6 cm
OC = 5 - 1 = 4 cm
By applying Pythagoras theorem in ΔOCB,
OB² = OC² + BC²
5² = 4² + BC²
BC² = 25 - 16
BC = √9 = 3 cm
Area of ΔOCB = [tex]\frac{1}{2}(OC)(BC)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 cm²
Area of ΔAOB = 2(6) = 12 cm²
Area of ΔAOB = Area of ΔDOE = 12 cm²
Area of shaded region = 25π - (12 + 12)
= (25π - 24) cm²
Therefore, Option (3) will be the answer.