This is the standard form equation of the circle is [tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10
What is the standard form of equation?The standard form equation of a circle is [tex](x - h)^{2}[/tex] + [tex](y - k)^{2}[/tex] = [tex]r^{2}[/tex], where (h, k) is the center of the circle and r is the radius.
Given the center of the circle as (7, 14) and a point on the circle as (4, 15), we can use the distance formula to find the radius:
r = [tex]\sqrt{(4 - 7)^{2} + (15 - 14)^{2} }[/tex] = [tex]\sqrt{(-3)^{2} + (1)^{2} }[/tex]= [tex]\sqrt{9 + 1}[/tex] = [tex]\sqrt{10}[/tex]
So the standard form equation of the circle is:
[tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = [tex]\sqrt{(10)^{2} }[/tex]
Which can be written as:
[tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10
So the standard form equation of the circle is [tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10
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Which perfect squares does the number 104 falls in between?
Answer:
12
Step-by-step explanation:
Answer:
12 because 12, 24, 36, 48, 60, 72, 84, 96, 104
Step-by-step explanation:
During each of the past three months, Tyler grew
by the following amounts: 1/8in., 3/16in., and 1/4in.
What is Tyler's total amount of growth over these
three months?
Answer with supporting work:
Select the correct answer.
If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?
A.
-6 and -1
B.
-1 and 6
C.
1 and 6
D.
-6 and 1
Answer:
6 and 1
Step-by-step explanation:
Let x - 6 = 0 and x - 1 = 0
x = 6 and x = 1
Which theorem proves these triangles are similiar for brainliest
[tex]{\huge{\pink{\mathcal{AA\:postulate࿐❤}}}} [/tex]
8x-7=-5x+19 denklemini sağlayan, x'in değeri kaçtır?
Answer: X=2
Step-by-step explanation:
8x-7=-5x+19
=> 8x+5x=19+7 [Transforms]
=> 13x=26
=> x=26/13
So, x=2
Vienna bought 8 yards of fabric and paid $38.40. How many more yards can she purchase with $30?
Answer:
vienna can purchase 6 more yards
identify the slope and y- intercept of the equation y = -3x
Answer: The slope is -3 and the y-intercept is (0,0)
Step-by-step explanation: Hope this helps, if it does can I get the brainliest answer
Answer:
Slope: − 3
y-intercept: ( 0 , 0 )
Step-by-step explanation:
The slope-intercept form is y = m x + b.
Find the values of m and b using the form y = m x + b .
m = −3 ; b = 0
The slope of the line is the value of m , and the y-intercept is the value of b .
Slope: − 3
y-intercept: ( 0 , 0 )
good luck, i hope this helps :)
Gasoline is pumped at a rate of 3 gallons per minute into a container that already has 4 gallons inside it. Write a linear function that describes the amount of gas in the container over time. Then make a graph to show the amount of gas in the container over the first 5 minutes.
Answer:
con que te gusta el poyo frito eh
The equation representing the amount of gas in the container after time [x] minutes as y = 3x + 4. After first 5 minutes, the amount of gasoline would be 19 gallons.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line in point slope form can be also written as-
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
We have the following problem -
Gasoline is pumped at a rate of 3 gallons per minute into a container that already has 4 gallons inside it.
We can write the equation representing the amount of gas in the container after time [x] minutes as -
y = 3x + 4
Plot the graph. At 5 minutes, the amount of gasoline would be 19 gallons.
Therefore, the equation representing the amount of gas in the container after time [x] minutes as y = 3x + 4. After first 5 minutes, the amount of gasoline would be 19 gallons.
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HELPPPP I DONT KNOW THE ANSWER PLEASE HELP ME
Answer:
IM PRETTY POSITIVE ITS B
PLS MARK BRAINLIEST
SORRY IF IM WRONG :P
Step-by-step explanation:
geometry multiple choice question HELLPPP
Answer:
27/36
Step-by-step explanation:
tan C = opp/adj
For angle C, the opposite leg is 27,a nd the adjacent leg is 36.
tan C = 27/36
Answer: 27/36
On a map, the distance between two towns is 2.5 inches, and 1 inch represents 6 miles.
What is the actual distance between the towns?
Enter your answer in the box.
mi
Answer:
15 miles
Step-by-step explanation:
1 = 6
6 x 2 = 12
6 x 0.5 = 3
12 + 3 = 15
Answer:
15 miles
Step-by-step explanation:
took k-12 test
someone please explain how to make a fraction into a decimal im confused will give brainliest to best answer also worth 25 points
Answer:
divide the numerator by the denominator and it should give you a decimal
Answer:if u don't get it tell me.
Step-by-step explanation:
4. If you buy 7 hamburgers and 3 slices of pizza from the Sizzler, you get Sl in change back from a
$20 bill. If you buy 8 hamburgers and 2 slices of pizza, you get $0.50 back from a $20 bill. Find
the price of a hamburger and the price of a slice of pizza.
Answer:
the price of a hamburger and the price of a slice of pizza is $0.5 and $7.75 respectively
Step-by-step explanation:
Let us assume the price of a hamburger be x
And, the price of a slice of pizza be y
So the equations are
7x + 3y = 20-1
7x + 3y = 19........(1)
And,
8x + 2y = $19.50........(2)
Now multiply by 2 in equation 1 and 3 in equation 2
So,
14x + 6y = 38
16x + 6y = 39
-2x = -1
x = 0.5
so y =
4 + 2y = $19.50
2y = $19.50 - 4
y = 7.75
Hence, the price of a hamburger and the price of a slice of pizza is $0.5 and $7.75 respectively
what 5/8x + 1/2 (1/4x + 10)?
A rectangle is such that the length of 2 of each adjacent sides are in the ratio 1:3. A similar rectangle has 1 side of 6cm. Find 2 possible values for the length of each adjacent sides.
Answer:
18 cm ;
2 cm
Step-by-step explanation:
Length of each adjacent side = 1 :3
If 1 side = 6 ; the possible values of the adjacent side ;
That is side 2 ÷
If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm
If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm
Hence, the two Possible values of the adjacent side = 18 cm or 2 cm
write an equation for a line perpendicular to y=-4x-4 and passing through the point (4,-4)
Answer:
Step-by-step explanation:
perp. 1/4
y + 4 = -1/4(x - 4)
y + 4 = -1/4x + 1
y = -1/4x - 3
Use the distributive property to remove the parentheses.
(3-v+2u)(-8)
Х
?
what is the answer to -4 - (-7)
Answer:
3fufufuifjfjfjfjfjfnfnff
geometry multiple choice question HELPP
1.1. Which statement explains why the two systems of equations below have the
same solution?
A
6x + 8y = -10
2x - 5y = 12
B
8x + 3y = 2
12x + 16y = -20
Answer:
B. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the first equation in A by 2.
Step-by-step explanation:
If we add the first two equations that shown in A so
6x + 8y + 2x - 5y = -10 + 12
8x + 3y = 2
Now the first equation in A would be multiplied by 2
So
2(6x + 8y = -10)
12x + 16u = -20
Therefore the correct option is B.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. If and , what is ? Write your answer in simplest form. When and , .
Paul wants to buy a new skateboard. The regular price of the skateboard before a 15% discount and before 4% tax is $40. What is the amount of money Paul will need to buy the skateboard after the discount and including tax
ayuda porfavor!!!!
se lleva 22 puntos el que me responda bien
Answer:
i think is AAAAAAAAAAAAA
Step-by-step explanation:
Answer:
A) x=5 El signo es dividido
B) x=7
Please help me with this
A dog named Zula set a record by popping 100 balloons in 44.49 seconds. Which shows the expanded form of 44.49?
Answer:
40+4+0.4+0.09
Step-by-step explanation:
Consider the inequality.
x + 3x < 24
Which value of x makes the inequality true?
A.5
B.6
C.7
D.8
Answer:
A.
Step-by-step explanation:
Solve inequality:
[tex]x + 3x<24\\4x<24\\x<6[/tex]
only one less than 6 is A. 5
Answer:
A
Step-by-step explanation:
(5) + 3(5) < 24
20 < 24
Write the polynomial below in the factored form.
y=x³+10x²+25x
y=[?](x+[ ])²
Answer:
apsppspspppp9ğpğğ999
Point s and point t are located at -6, 13 and 8, 13 on the coordinate plane what is the distance between the two points
Answer:
[tex]14[/tex] units
Step-by-step explanation:
Since both points have the same y-coordinate, we can calculate the distance between them by taking the absolute difference of their x-coordinates. Therefore, the distance between them is [tex]|-6-8|=|-14|=14[/tex] units. Hope this helps!
8.6 is what percent of 32?Round to the nearest hundredth.
Answer:
2.75
Step-by-step explanation:
8.6 is what precent of 32? =2.752
round to nearest hundredth= 2.75
I hope this helps :)
Answer:
2.75
Step-by-step explanation:
BIG BRAIN
Which number is equal to 100?
Answer:
10 square2
36 + 64 = 100. In other words, 6² + 8² = 10²
Answer:
C. 10^2
Step-by-step explanation:
When you have an exponent and the base is 10, the exponent is how many zeros there are total that come after the 1. There are 2 zeros after the 1 in 100, so 10^2 is the answer.