Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?
(x - 9)2 + (+ 4)2 = 25
(x + 4)2 + (- 9)2 = 25
(x - 9)2 + ( + 4)2 = 100
(x + 4)2 + (- 9)2 = 100
PLZ HELP!
Answers
The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of circle be represented as A
Now , the value of A is
Let the center of the circle be P ( -4 , 9 )
Let the diameter of the circle be d = 10 units
So , the radius of the circle r = d/2 = 5 units
And , standard form of a circle is
( x - h )² + ( y - k )² = r²,
So , the equation of circle is
( x + 4 )² + ( y - 9 )² = 25
Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25
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Answer:
False
Step-by-step explanation:
Select the correct answer.
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Step-by-step explanation:
The given expression is :
y- 4=-3(x+5)
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Answer:
60 minutes is 20% of 300%
Step-by-step explanation:
The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
A.
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
x=[tex]\sqrt{8^{2} +15^{2} } =17[/tex]
sin∠D = [tex]\frac{8}{17}[/tex]
which of the following are trinomials?
PLS, I REALLY NEED THIS ANSWER.
Answers
Answer:
Option (A) and Option (B)
Step-by-step explanation:
Trinomial is a polynomial having three terms.
Option A
[tex]\frac{5}{7}y^3+5y^2+y[/tex]
Number of terms = 3
So it's a trinomial.
Option (B)
x⁴ + x² + 1
Number of terms = 3
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every 5th visitor to an animal shelter gets a free animal calendar every 8th visitor gets a free animal toy witch visitor each day will be the first one to get both the calendar and the animal toy
Answers
Answer:
The 40th visitor will recieve both
Step-by-step explanation:
5×8= 40
8×5= 40
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Answer:
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Step by Step Explanation:
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What's the x that will make the fraction greater than or equal to 75%
Please show the thought process to get to x=16
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x-4/x >= 75% (x => 16. 12/16 = 75%)
Thanks,
Merry Christmas
Answers
9514 1404 393
Answer:
x ≥ 16 or x < 0
Step-by-step explanation:
You want ...
(x -4)/x ≥ 3/4
4(x -4) ≥ 3x . . . . . . multiply by 4x (requires x > 0)
4x -16 ≥ 3x
x ≥ 16 . . . . . . . . . . add 16-3x
__
For x < 0, multiplying by 4x gives ...
4(x -4) ≤ 3x
4x -16 ≤ 3x
x ≤ 16 . . . . . and x < 0
__
There are two sets of solutions:
x < 0 or x ≥ 16
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Answer:
D
Step-by-step explanation:
answer is on the photo
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Answer:
She has to work for 60hours in order to earn $720.
Step-by-step explanation:
Amount of money earned in 1hour=36÷3
=12$
Total time required=720÷12
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Answer:
1/30
Step-by-step explanation:
5^-1 = 1/5
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Answer:
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Step-by-step explanation:
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Answers
hope this helps :)
Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate
Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.
Thus total calories from given diet is = 4×4+4×3+9×3
=16+12+27
=56
Hence, Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
i hoped it helped
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0 (-5, 6), (-5, 6), (-5, -6), (-5, -6)
O (3,9), (-7, 1), (6, 12), (-3, -9)
O (5, 1), (5,2), (5, 3), (5, 4)
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(3,9), (-7,1), (6,12), (-3, -9)
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Step-by-step explanation:
[7 + (-2)] * (-3)
= 7(-3) + (-2)(-3)
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Answer:
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Step-by-step explanation:
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Answer:
Concept: Statistical Analysis
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5
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
The 80% confidence interval is [tex]0.0328 < \mu < 0.0392[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 23
The sample mean is [tex]\= x = 0.036 \ cc/m^3[/tex]
The standard deviation is [tex]\sigma = 0.012[/tex]
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.282[/tex]
Generally the margin of error is mathematically represented as
[tex]E = 1.282 * \frac{0.012 }{\sqrt{23} }[/tex]
=> [tex]E = 0.00321 [/tex]
Generally 80% confidence interval is mathematically represented as
[tex]0.036 -0.00321 < \mu < 0.036 + 0.00321[/tex]
=> [tex]0.0328 < \mu < 0.0392[/tex]
Using partial quotients, which would be the best choice for the first number to subtract in the division problem 858 +26?
Answers
Answer:
780
Step-by-step explanation:
We want to use partial quotients in the division problem 858 ÷ 26.
In partial quotients method, what we do is to repeatedly subtract from the dividend easy multiples of the divisor.
In this case, the dividend is 858 and the divisor is 26.
Thus, the first easy multiple of the divisor we can use will be 30 because 30 × 26 = 780 yields the closest value to 858.
Therefore, the best choice for first number to subtract is 780
Answer: 780
Step-by-step explanation:
The best choice for the division problem will be 780.
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£
Richard:
£
Nick:
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Answer:
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Ok...
what exactly do you need help with?
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Step-by-step explanation:
lucy trey and rubin have a total of $100 dollars in their wallets. trey has $5 more than lucy reuben has 3 times what. trey has how much do they have in their wallets