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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fill in the blanks _ + _ = 10.5
Answer:
there can be many answerrrs I guess
.
Step-by-step explanation:
5.25+5.25=10.5
2.5+8=10.5
have a great day :)
Please help
Point____is plotted at -4/5
Answer:
C
Step-by-step explanation:
-4/5 is -0.8, which is at point C
plz brainliestt
Answer: C
Step-by-step explanation:
Point A is 4/5
Point B is -2/5
Point C is -4/5
Point D -1 4/5
Point D is
-4n-8=4(-3n+2) solve for n
Answer:
n=2 see the pic above
Step-by-step explanation:
i am very sure
Answer:
N = 2
Step-by-step explanation:
I got this answer right on Khan Academy.
Hope this helps! :)
Write down the ratio of 450 grams to 15 grams
The ratio of 450 grams to 15 grams is 30:1.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
ratio of 450 grams to 15 grams
So, the ratio is
= 450/ 15
= 30 / 1
Hence, the ratio of 450 grams to 15 grams is 30:1.
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In 2009, the world’s largest pumpkin weighed 784 kilograms. An average sized pumpkin weighs 5,000 grams. The 2009 world-record pumpkin weighs ______ kilograms more than an average sized pumpkin
Answer:
779 kg
Step-by-step explanation:
5,000 g = 5 kg, 784 - 5 = 779
Combine like terms:
3x - 5y - 2x + 3 + 8y + 10
Answer:
x+3y+13
Step-by-step explanation:
combine like terms
Answer:
Step-by-step explanation:
you will combine the like terms, x, y and numbers
3x-2x=x
-5y+8y=3y
3+10=13
x+3y+13
What is the equation of the line that passes through the point (-3, 2) and has a
slope of -2/3
Answer:
y=-2/3x
Step-by-step explanation:
if you use the graphing calculator, the y intercept of the equation is 0 therefore y=mx
m=-2/3
the slope intercept equation is y=-2/3x
Solve for x 3x-16 17x-382
Answer:
X = 9
Step-by-step explanation:
find the unit rate (constant of proportionality) for bobby
Answer:
Plss this question is Soo blurry I can't read it can u retake this plss?
Can someone help? I don't understand the equasion
Answer:
a = 1/6
Step-by-step explanation:
To solve, divide both sides by 5 1/4
a = 7/8 / (5 1/4)
a = (7/8) / (21/4)
a= 7/8 * 4/21
a= 28/168
a= 1/6
1
How many cubes with side lengths of cm does it take to fill the prism?
4
1
1
cm
4
3
cm
2 cm
4
Answer:
135 small cubes fill the prism
Step-by-step explanation:
Find the volume of the prism.
V = l * w * h
l = 2 1/4 = 2.25
w = 3/4 = 0.75
h = 1 1/4 = 1.25
V = 2.25 * 0.75 * 1.25
V = 2.109375
I wouldn't round this quite yet.
V of 1 small cube = 1/4 * 1/4 * 1/4 = .015625
So divide the volume of the prism by the volume of the small cube
2.109375/0.015625 = 135
Mrs. Jones decided to buy some pencils for her class. She bought 5 packages of pencils, and each package contained 42
pencils. There are 14 students in her class and she divided up the pencils so that each student had the same amount of
pencils. If there were no pencils left over, how many pencils did each student get?
OA. 3
OB. 19
O C. 15
OD. 70
Answer: C
Step-by-step explanation: 5 times 42 equals 210, and 210 divided by 14 is 15! Good luck! :D
Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 181618161816 students at Franklin High School.
Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall?
Answer:
46701813038
Step-by-step explanation:
How do I write this expression in fewer terms?
9m + k - (3m-2k)
Monty bought a small swimming pool, as shown below, for his Labrador
puppy. He fills the pool halfway to the top. If one cubic foot of water is
approximately 7.5 gallons of water, about how many gallons of water will
be in the pool?
6 ft
2 ft
Answer:
It would be 45 gallons for 6ft
15 gallons for 2 feet
Step-by-step explanation:
ESAY MATH PLS HELP
is this sss,sa,aa,or none
Answer:
SAS
Step-by-step explanation:
What is the driving time for a 2900 mile trip if you drive at an average speed of 50 miles per hour? What is the driving time at 69 miles per hour?
5a - 7b + a -5b - 4 + a
Answer:If you simplify it will be 7a−12b−4
Step-by-step explanation: Yes
d=7/2cm. The radius is ____ cm.
Answer:
r = 7/4
Step-by-step explanation:
Radius is always 1/2 of the diameter.
Copy the proof on paper, mark the given diagram, fill in the blanks to fill in the proof
Statement Reason
1.
LA ≅ ?? Given
Given
2.
TA ≅ ??? Reflex Prop.
3. ∠LAT≅∠ ??? ???
4. △LAT≅△ ??? ???
Answer:
I don't know all of these, but I do know some.
Step-by-step explanation:
1. LA ≅ SA Given
2. I'm sorry I don't know this
3. ∠LAT≅∠ SAT and Def of angle bisector for the reason.
4. △LAT≅△ TAS and I believe it's SAS for the reason.
Answer:
Answers in explanation
Step-by-step explanation:
LA ≅ SA | Given
TA ≅ TA | Reflexive Property
∠LAT ≅ ∠SAT | Definition of angle bisector
△LAT ≅ △SAT | SAS
what is the sum of 7 3/16+3/4
Answer:
7 15/16
Step-by-step explanation:
find the same denominator which is 16
3/4x4/4 = 12/16
7 3/16+12/16= 7 15/16
probably bad explanation but hope it helps.. :)
Answer:
Mixed number-7 15/16
Exact form-127/16
Decimal-7.9375
Step-by-step explanation:
What is 3 1/4% of 500
Answer:
387500
Step-by-step explanation:
31/4/100×500
3100/4×500
387500
What is the value of y when x= 5?
Answer:7
Step-by-step explanation:7
3. Adrian is 8 years older than his brother, Jose. In 3 years he will be twice as old as his brother. Find the present age of each.
Answer:
Age of Jose = 5 years
Age of Adrian = 13 years
Step-by-step explanation:
Let:
Age of Jose = x
Age of Adrian = x+8
After 3 years
Age of Jose = x+3
Age of Adrian = x+8+3 = x+11
Now, we are given, in 3 years he will be twice as old as his brother.
So, we can write
Age of Adrian = 2 (Age of Jose)
x+11 = 2(x+3)
x+11=2x+6
2x-x=11-6
x=5
So, we get value of x = 5
Now, the present ages will be:
Age of Jose = x = 5 years
Age of Adrian = x+8 = 5+8 = 13 years
Adrian is 8 years older than his brother, Jose. In 3 years, he will be twice as old as his brother. Find the present age of each.
Answer:Jose is currently 5 years old.Adrian is currently 13 years old.Solution and Explanation:Let's represent the age of Jose as [tex]\large\rm x[/tex]
According to the problem, Adrian is 8 years older than Jose, so Adrian's age can be represented as [tex]\large\rm x + 8[/tex].
In 3 years, Adrian's age will be [tex]\large\rm (x + 8) + 3[/tex] and Jose's age will be [tex]\large\rm (x + 3)[/tex].
The problem also tells us that in 3 years, Adrian will be twice as old as Jose:
[tex]\Large\begin{aligned}\rm{(x + 8) + 3}& =\rm{2(x + 3)}\\\rm{x + 11}&=\rm{2x +6}\\\rm{\cancel{x\red{-x}} + 11}&=\rm{2x \red{-x} + 6}\\\rm{11}&=\rm{x + 6}\\\rm{11\red{-6}}&=\rm{x + \cancel{6\red{-6}}}\\\bold{5}&=\rm{x}\end{aligned}[/tex]
So Jose is currently 5 years old.
To find Adrian's age, we can use the fact that Adrian is 8 years older than Jose:
[tex]\Large\begin{aligned}\rm{Adrian's\: age}& =\rm{x + 8}\\\rm{Adrian's\: age}&=\rm{\red{5} + 8}\\\rm{Adrian's\: age}&=\bold{13}\end{aligned}[/tex]
Therefore:
Jose is currently 5 years old.Adrian is currently 13 years old.[tex]\\\\[/tex]
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f(x) = radical 2x-1
] 1,2[
] 1/2, +oo[
[1/2, +oo[
Answer:
○ [tex]\displaystyle [\frac{1}{2}, ∞[[/tex]
Step-by-step explanation:
All you want to do is set the radical equal to zero to determine your domain, and sinse substituting [tex]\displaystyle \frac{1}{2}[/tex] in for [tex]\displaystyle x[/tex] would make this 0, it would be the INCLUDED endpoint, so your bracket faces [tex]\displaystyle \frac{1}{2},[/tex] then continues on infinitely.
I am joyous to assist you at any time.
**The ONLY time this is not the case is when you have a rationale-radical function, in which you must never have 0 in the denominatour.
Will mark brainliest!!! Find the value of each variable in the parallelogram
Answer:
a = 9, b = 11
x = 2, y = 17
Step-by-step explanation:
opposite sides are equal in a parallelogram!
Help please............
Answer:
-15 < -9 and |-9| < |-15| (the third one) is true.
Step-by-step explanation:
-15 is smaller than -9.
The absolute bars cancel out the negative sign.
9 is smaller than 15.
I need help. How do i solve this?
Answer:
C
Step-by-step explanation:
Cool
Rose wants to get 90% on a 40 question quiz. How many questions must she get correct?
Answer:
36
Step-by-step explanation:
We can use the is/of=%/100 proportion...
x = 90
40 100
First, we need to multiply 90 by 40. 90x40=3,600.
Next, we have to divide 3,600 by 100. 3,600/100=36.
Rose needs to get 36 questions correct to get at least a 90%.
Hope this helps!! Have a great day C:
Helpppppppppppppppppppppppppppp
Answer:
5
Step-by-step explanation:
4^2+3^2
=16+9=25
[tex]\sqrt{25}[/tex]=5