The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Equation of a circle
The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.
How to find the equation of a circle for the given condition?The radius of a circle is 5.
Also, the center of a circle is (h,k) = (6,-2)
So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]
Simplify further the above equation.
[tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Hence, option (D) is correct.
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Can i have some help please
Answer:
bababooey
Step-by-step explanation:
15 divided by 1/9 please i just need 15 divided by 1/9
Answer:
135 :)
Step-by-step explanation:
15 divided by 1/9 is equal to 135.
We have,
When dividing fractions, we can invert the second fraction (1/9) and multiply it by the first fraction (15).
This concept is known as "invert and multiply."
By multiplying 15 by the reciprocal of 1/9, which is 9/1, we effectively perform the division operation and obtain the result.
Now,
To divide 15 by 1/9, we can rewrite the division as a multiplication by the reciprocal of the second fraction.
15 ÷ (1/9) is the same as 15 * (9/1).
Multiplying these fractions, we get:
15 * (9/1) = 135/1 = 135.
Therefore,
15 divided by 1/9 is equal to 135.
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how do you differentiate more and more than? can these terms be used in mathematics? how?
Answer:
The terms "more" and "more than" have a clear difference, which is even more noticeable in its application in the field of mathematics.
Thus, "more" has a more general meaning, while "more than" applies specifically to comparing the values of two or more determined variables. Therefore, in the field of mathematics "more than" implies that a variable will have a higher value than another or others, while "more" simply refers to a higher value.
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There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143
PLSS SHOW YOUR WORK PLS
Answer:
B. 143
Step-by-step explanation:
Subtract 113 from 256 and you get 143. 143 is not less than or greater than 143 so it is equal.
Helppppl +13 points & +star
Answer:
hope it helps
Step-by-step explanation:
...........
The circumference of a circle is about 40.82 inches. What is the diameter and the radius of the circle? Round to the nearest tenth and show all work.
Answer:
Step-by-step explanation:
The diameter is 13 and the radius is 6.5
The height of the roof will be 9 feet instead of 5 feet. Determine the length, in feet of the diagonal wood beams on the new roof. Find the leg. a^2 + 9^2=13^2
Answer:
√88
Step-by-step explanation:
a^2 + 9^2=13^2
a² = 13² - 9²
a² = 169 - 81
a² = 88
Take square root of both sides
a = √88
I need help I will give BRAINLEST
Answer:
25%
Step-by-step explanation:
To solve this, we can use the percent change formula shown in the picture attached below. [tex]x_{2}[/tex] is the new value, [tex]x_{1}[/tex] is the old value, and [tex]C[/tex] represents the change. For this problem, 80 is the new value and 64 is the old value. Let's plug those numbers into the formula and solve for the percent change:
[tex]C = \frac{(80-64)}{64} \\[/tex] × [tex]100[/tex]
[tex]C = \frac{16}{64}[/tex] ×[tex]100[/tex]
[tex]C = 0.25[/tex] ×[tex]100[/tex]
[tex]C = 25%[/tex]
Thus, the answer is 25%.
The sides of three squares can be used to form triangles. The areas of the squares that
form right triangles have a special relationship. The triangle formed in the drawing below is
a right triangle.
What is the value of x, the side length of Square 2?
6th grade math help me plzzzz
Answer:
E. would be your answer
Step-by-step explanation:
ok so find an angle on figure A. and count how many units it takes to get to the same angle on figure B.
The average adult spends 7 to 8 hours sleeping. About 20% of the time you sleep is spent in rapid eye movement (REM) sleep which is associated with dreaming. Write and Solve a compound inequality to determine how much time is spent in REM sleep for the average adult?
Answer:
.20(7) ≤ x .20(8)
Step-by-step explanation:
let 'x' = amount of time in REM sleep
Answer:
1.4[tex]\leq[/tex] x [tex]\leq[/tex] 1.6
Step-by-step explanation:
You can start off by writing the inequality that 7(.20) is less than/equal to x which is less than/equal to 8(.20). Then, you just multiply the numbers and you have the 20% that you spend in REM sleep.
Hope this helps!
how much longer is a 1 -inch button than a 3/8 -inch button
Answer:
5/8
Step-by-step explanation:
i took the quiz
Write the equation of the line passing through the points (-7,4) and (7,2).
Answer:
y = -1/7x + 1
Step-by-step explanation:
This could be wrong. But I'm pretty sure
Through which point must the graph of y = 4 logs (x) + 2 pass?
A. (5,6)
B. (5,8)
C. (5, 12)
D. (5, 40)
The graph of y = 4 logs (x) + 2 passes through the point (5,8).
The given equation of the graph is y = 4 logs (x) + 2
We have to find the point which passes through the graph
The equation y = 4 logs (x) + 2 can be rewritten as y = log(x⁴) + 2. Substituting x = 5 into the equation gives us y = log (5⁴) + 2
= log (625) + 2
= 8.
Therefore, the graph of y = 4 logs (x) + 2 passes through the point (5,8).
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19 = 4x + 3 *
Plz, help me with this!
Answer:
x=4
Step-by-step explanation:
19 = 4x+3
Subtract 3 from each side
19 -3 =4x+3-3
16 = 4x
Divide each side by 4
16/4 = 4x/4
4 =x
Answer:
x=4
Step-by-step explanation:
19= 4x+3
19-3= 4x
16= 4x
x= 16/4= 4
x= 4
hope it helps! please mark me brainliest
thank you!! have a good day ahead
Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.
Write an equation that shows the cost of a pack of test tubes, , in terms of the cost of a set of beakers, .
Answer:
70
Step-by-step explanation:
Anyone knows this please help me
Answer:
(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
pls help you i’ll give brainliest
The answer is 6+(-4) = 2
Answer:
2
Step-by-step explanation:
it's just like saying 6-4 is two a negative is like a positiveMultiple Choice
Which of the following represents a unit rate?
A. four dollars over twelve books
B. five pages over two minutes
C. eighty beats over one minute
D. seventy two inches over two yards
Answer:
c
Step-by-step explanation:
unit rate is a rate with one in the denominator
can someone help me asap please
Answer:
Here you go. It is really easy. All you have to do is translate the points. If it says translate 3 units up, you'd pick a point, and move it up 3 units. Then do it with all the others and BOOM! You did it! Try one of the problems yourself to make sure you understand what to do next time.
Have a nice day!
There are 25 students in the class. 36% of the students ate hotdogs for lunch. How many students ate hotdogs?
Answer:
9
Step-by-step explanation:
25 times .36 is 9!
I hope this helps!
Answer:
36% x 25= 9
9 students ate hotdogs
Step-by-step explanation:
just find out how many students are 36% of the class, all i did was take the precent of the class and multiplied it by the number of students in the class in this case 25
Evaluate 6x - 4y when x = 5, y = 2
Answer:
22 i think :-) but I'm not sure because it was really easy so I'm not sure if understood this right
Step-by-step explanation:
6.x=
6.5=30
4.y=
4.2=8
6.5=30 4.2=8
30-8=22
What percentage of a day is 4 hours?
Answer:
1/6%
Step-by-step explanation:
i belive thats the answer hope it helps
4 months to 8 years in ratio
Answer:
4:96
Step-by-step explanation:
It has to be the same kind of thing so...
1 year is 12 months
8 * 12 = 96
Answer:
4 months : 8 years
reduced...
1 month : 2 years
Step-by-step explanation:
The population of a city is expected to decrease by 6% next year. If x represents the current population, write an expression that represents the expected population next year.
Given:
Current population = x
The population of a city is expected to decrease by 6% next year.
To find:
The expression that represents the expected population next year.
Solution:
We have,
Current population = x
Decrease rate = 6%.
Expected population next year = Current population - 6% of Current population
=[tex]x-\dfrac{6}{100}x[/tex]
=[tex]x-0.06x[/tex]
=[tex]0.94x[/tex]
Therefore, the expression for the expected population next year is 0.94x.
yall please help me with this math question :/
78=6 f please help solve ion have much time
Answer:
hii
Step-by-step explanation:
3x+18=3(x+6)please help
Answer: X = 4
Step-by-step explanation: Move all the terms besides X to the right side, from there you will divide each term by 3 then simplify.
5x-3 =2x+15
Someone pls help for geometry
Answer:
x = 6
Step-by-step explanation:
5x-3 = 2x+15
i) move 2x to the left-hand side and change its sign5x-2x-3 = 15
ii) move -3 to the right-hand side and change its sign5x-2x = 15+3
iii) collect like terms3x = 15+3
iv) add the numbers3x = 18
v) divide both sides of the equation by 3[tex] \frac{3x}{3} = \frac{18}{ 3} [/tex]
[tex]x = 6[/tex]
(4, 2); slope = 3
write the equation of the line
Answer:
y=3x-10
Step-by-step explanation: