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 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!
(4, 2); slope = 3
write the equation of the line
Answer:
y=3x-10
Step-by-step explanation:
yall please help me with this math question :/
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.
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 positiveAnyone 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] )
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
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:
Multiple 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
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?
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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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%.
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
I WILL GIVE YOU BRAINLY PLSS
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.
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
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.
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!
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 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:
Helppppl +13 points & +star
Answer:
hope it helps
Step-by-step explanation:
...........
78=6 f please help solve ion have much time
Answer:
hii
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.
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
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
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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What percentage of a day is 4 hours?
Answer:
1/6%
Step-by-step explanation:
i belive thats the answer hope it helps
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.
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
Can i have some help please
Answer:
bababooey
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