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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Juanita earns $36 for 3 hours of work. At that rate, how long would she have to work to earn $720?
Answers
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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Step-by-step explanation:
i hoped it helped
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Step-by-step explanation:
[7 + (-2)] * (-3)
= 7(-3) + (-2)(-3)
= -21 + 6
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Answer:
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Step-by-step explanation:
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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
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Step-by-step explanation:
The best choice for the division problem will be 780.
A meal that contains 4 grams of fat, 3 grams of protein, and 3 grams of carbohydrate will provide ______ calories.
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
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Hence, Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
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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
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Sin = Opposite / Hypotenuse
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Answers
Answer:
The 40th visitor will recieve both
Step-by-step explanation:
5×8= 40
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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the answer can vary between x=−1 or x=2 or x=−3 or x=3
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Step 1: Factor left side of equation.
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Step 2: Set factors equal to 0.
x+1=0 or x−2=0 or x+3=0 or x−3=0
x=−1 or x=2 or x=−3 or x=3
Evaluate:5^-1 – 6^-1
with explanation please!!
Answers
Answer:
1/30
Step-by-step explanation:
5^-1 = 1/5
6^-1 = 1/6
1/5 - 1/6 = 1/30
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Check all that apply.
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Answer:
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Answer: C
Step by Step Explanation:
Can not give, sorry
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Answer:
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Step-by-step explanation:
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Please show the thought process to get to x=16
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x-4/x >= 75% (x => 16. 12/16 = 75%)
Thanks,
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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
5.401 \times 10^{-1} = {?}5.401×10 −1 =?
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Answer:
2.005 x 10^2
Step-by-step explanation:
NEED HELP ASAP!!!!Instructions: Using the following image, solve for the trigonometry ratios of
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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]
please help me and my sister! Were a bit stuck!
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Ok...
what exactly do you need help with?
Answer:
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Step-by-step explanation:
what is 7/9 of 1 1/14
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Answer:
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Step-by-step explanation:
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
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It's a trinomial.
Option C
6x² + 0.5y²
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It's a binomial.
Option D
x² + 3
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x¹¹
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Option F
8x
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Select the correct answer.
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Answers
Step-by-step explanation:
The given expression is :
y- 4=-3(x+5)
⇒ y-4 = -3x-15
⇒y+3x = -15 + 4
⇒ y+3x= -11
We need to draw the graph for this equation. The attached figure shows the graph for this equation.
Arthemeatic sequence
Answers
Answer:
14
Step-by-step explanation:
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Answer:
60 minutes is 20% of 300%
Step-by-step explanation:
A recipe for 45 biscuits uses
5
2
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Answer:
18
Step-by-step explanation:
Please give brainliest!
Answer:
18
Step-by-step explanation:
4. Which of the following represents a function?
(8,3), (8,3), (-8, -3), (-8, -3)
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)
Answers
(3,9), (-7,1), (6,12), (-3, -9)
True or False. A triangle can be made with side lengths 4, 4 and 8.
Answers
Answer:
False
Step-by-step explanation:
Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£
Richard:
£
Nick:
£
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Answer:
dan 14 Richard 42 nick 14
Given the linear function f(x) = 3x + b. If b is increased by 5, how would the line shift?
Answers
Answer:
the line would move up five units because b is the y intercept, and the y intercept determines the position of the line, not the look or slope of the line
Answer:
THE LINE WOULD MOVE UP 5 UNITS
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.
$5.15
B.
$20.60
C.
$21.62
D.
$23.75
Answers
Answer:
5.15 hope this help!!!
Step-by-step explanation:
give this brainlieast so other people can know its not 20.60
A physicist examines 23 sedimentary samples for mercury concentration. The mean mercury concentration for the sample data is 0.036 cc/cubic meter with a standard deviation of 0.012. Determine the 80% confidence interval for the population mean mercury concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
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]