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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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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Please help me with this
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
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 , .
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
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
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 :)
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
what 5/8x + 1/2 (1/4x + 10)?
Use the distributive property to remove the parentheses.
(3-v+2u)(-8)
Х
?
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
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
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
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
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:
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:
Write the polynomial below in the factored form.
y=x³+10x²+25x
y=[?](x+[ ])²
Answer:
apsppspspppp9ğpğğ999
what is the answer to -4 - (-7)
Answer:
3fufufuifjfjfjfjfjfnfnff
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
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
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!
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:
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.
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
geometry multiple choice question HELPP
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:
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:
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
Which theorem proves these triangles are similiar for brainliest
[tex]{\huge{\pink{\mathcal{AA\:postulate࿐❤}}}} [/tex]
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.