Answer:
Radius: √ 61
Step-by-step explanation:
Complete the square for x^ 2 + 12 x = ( x + 6 ) ^2 − 36
Substitute ( x + 6 ) 2 − 36 for x 2 + 12 x in the equation x 2 + y 2 + 12 x − 10 y = 0
= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0
Move − 36 to the right side of the equation by adding 36 to both sides
= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36
Then you know the rest: radius will be √ 61
The center coordinate of the circle is (6,5) with a radius = 7.34
What is the equation of the circle?The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]
Substituting the values in the equation:
[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]
⇒ -2ax = -12x
⇒ a = 6.
-2by = -10y
b= 5.
⇒ a² + b² - r² = -7
⇒ 6² + 5² + r² = -7
⇒ 36 + 25 + r² = -7
⇒ r² = 54
⇒ r = 7.34
Center coordinate (6,5) with r = 7.34
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What is the value of p²q² given that p=10 and q=8?
Answer:
6400
Step-by-step explanation:
Substitute the given value into the expression
p²q²
= 10² × 8²
= 100 × 64
= 6400
Step-by-step explanation:
given that p=10
you would times 10 by itself so:
10x10=100
now the same for the q=8
8x8=64
now i think you would have to times 100 with 64 if not than there's your answer
which equals to 6400 (if you times it)
hope that helps
Which of the following is the equation of a line that is perpendicular to the graph y=2/5x-1
Answer:
-5/2 is the answer
Step-by-step explanation:
When considering a normal distribution of scores, what percentage of scores is equal to or below the mean
Answer:
50%
Step-by-step explanation:
If the distrubution is normal
and mean is the average score
that means that half of them should be equal to or below the mean
and the other half is equal to or above the mean
2x+y=10
x-intercept?______
y-intercept?______
have to show work
Answer:
y = 10-2x
Step-by-step explanation:
2x+y=10
y=10-2x
Write a system of equations for the following situation. There are a total of 35 questions on a test. Some questions are multiple choice and some are short answers. The multiple choice questions are worth 2 points and the short answer questions are worth 5 points. There are a total of 100 points on the test.
Answer:
m + s = 352m + 5s = 100Step-by-step explanation:
There are a total of 35 questions on a test:
m + s = 35Points from multiple choice answers = 2m
Points from short answers = 5s
There are a total of 100 points on the test:
2m + 5s = 100The condition is
There are total 35pens to buy.[tex]\\ \sf\longmapsto m+s=35[/tex]
Each pen costs 2$Each pencil costs 5$You have 100$[tex]\\ \sf\longmapsto 2m+5s=100[/tex]
make y the subject of each of y-p=m
Answer:
y=m+p
Step-by-step explanation:
take the p to the other side.
p crosses = sighn and becomes +
hence ans = y=m+ p
Combining Like Terms -
Answer:
Step-by-step explanation:
1, 4, 9, 16, 36, 49, 64 find the pattern
Answer:
0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144. Its a square number
Step-by-step explanation:
Hope this helps! Please mark brainliest if it did, it means a lot of proogression to me and thanks! <3
Answer:
Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
Step-by-step explanation:
Write 4.5kg : 1500g as a ratio in its simplest form
Answer:
3 : 1
Step-by-step explanation:
The values must be in the same quantity
1 Kg = 1000 g
4.5 Kg = 4.5 × 1000 = 4500 g
Then
4.5 Kg : 1500 g
= 4500 g : 1500 g ( divide both parts by 1500 )
= 3 : 1 ( in simplest form )
The simplified form of the ratio, 4.5 kg : 1,500 g is 3 : 1
What is a ratio?A ratio is a measure of the number of times one quantity is contained in or contains another quantity.
To write the the ratio 4.5 kg : 1,500 g as a ratio in its simplest form, both quantities are to be expressed in the same unit.
1 kg = 1,000g
Therefore, 4.5 kg = 1,000 g/kg × 4.5 kg = 4,500 g
The ratio 4.5 kg : 1,500 g can be written as follows;
4,500 g : 1,500 g
The above ratio can be simplified by dividing both terms by the greatest common divisor, (GCD). The GCD of 4,500 and 1,500 is 1,500, therefore, we divide both terms by 1,500 to get;
4,500 g : 1,500 g = (4,500 ÷ 1,500) : (1,500 ÷ 1,500) = 3 : 1
Therefore, the ratio 4.5 kg : 1,500 g simplifies to 3 : 1
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In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number value of N.
Answer: 2584
Step-by-step explanation:
We can find N with 2584 and 4181.
4181 - 2584
= 1597
We can also check our answer by adding 1597 and 987
1597 + 987
= 2584
A sequence can be arithmetic, geometric or neither.
The value of N is 1597
The partial sequence is given as:
.... 987, N, 2584, 4181......
From the question, the current term is the sum of two previous terms.
This means that:
[tex]\mathbf{987 + N = 2584}[/tex] and
[tex]\mathbf{N + 2584 = 4181}[/tex]
Make N the subject in both equations
[tex]\mathbf{N = 2584 - 987}[/tex]
and
[tex]\mathbf{N = 4181 - 2584 }[/tex]
So, we have:
[tex]\mathbf{N = 1597}[/tex]
and
[tex]\mathbf{N = 1597}[/tex]
Hence, the value of N is 1597
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Naomi reads 9 pages in 27 minutes, 12 pages in 36 minutes, 15 pages in 45 minutes, and 50 pages in 150 minutes
Answer:
It is proportional. They are all multiplied by three. (9*3=27)
Step-by-step explanation:
does the height of the shooter affect the number of goals scored in a netball match
0.22y × 0.06 =
please help me
Answer:
0.0132y :DDDDDDDDDD
What is the slope of this graph?
a: 1/3
b: 3
c: -3
d: -1/3
Answer:
-3
remember, slope is rise over run. It's negative because the line is declining.
 Find the perimeter. Simplify the answer
Answer:
sorry i was dared to sooooooo yayyyyyyyyyyyyyy
Answer:
15x + 28Step-by-step explanation:
Perimeter = 5x + 10 + 5x + 10 + 5x + 8
= 15x + 28...ans
Hope it Helps you!!what's the slope?
what is the y-intercept?
proportional or not proportional?
Answer:
Slope: 16
y-intercept: (0, 0)
Yes it is proportional
Step-by-step explanation:
What's the slope
To find the slope we can do rise over run.
192 - 96 96
----------------- = ----------- = 16
12 - 6 6
So the slope is 16
What is the y-intercept?
For the y intercept we can just look where the line crosses the y-line so (0, 0)
We can check that by inputing some numbers:
y = mx + b -------> 96 = 6 · 16 + b
96 = 96 + b
- 96 - 96
0 = b
in this equation b represents the y-intercept
Is it proportional?And the definition of a proportional slope is if the equation is y = mx, which in this case it is true, as the equation is y = 16x. (m is the slope which we've already found above)
So evidently the slope is proportional.
Helppppppp pleaseeeeeee
6:15 to 7:45 is 1 hour and 30 minutes.
Dividing 1 hour and 30 minutes by 15 minute intervals equals 6
They rang the bell 6 times
How would I solve [tex]-2 \frac{1}{2} - -2 \frac{1}{2}[/tex]
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
6 is no, -8 is no, - 10 is no, 5 is no
Step-by-step explanation:
6 is no beacause 3 - 4(6) = 11
3 - 24 = 11
-21 = 11
-21 is not equal to 11 so that means that 6 is not a solution.
- 8 is no because 3 - 4(- 8) = 11
3 + 32 = 11
35 = 11
35 is not equal to 11 so that means that - 8 is no a solution
- 10 is no beacause 3 - 4(-10) = 11
3 + 40 = 11
43 = 11
43 is not equal to 11 so that means that - 10 is not a solution.
5 is no beacause 3 - 4(5) = 11
3 - 20 = 11
-17 = 11
-17 is not equal to 11 so that means that 5 is not a solution.
Hope that helps!
Answer:
If u=6,
3-4u=11
3-4(6)=11
3-24=11 (false; not a solution)
If u=-8,
3-4u=11
3-4(-8)=11
3+32=11 (false; not a solution)
If u=-10,
3-4u=11
3-4(-10)=11
3+40=11 (false; not a solution)
If u=5,
3-4u=11
3-4(5)=11
3-20=11 (false; not a solution)
The line passes through (10,5) and (5,20)
Answer:
0
Step-by-step explanation:
Equation of the line
(5 15) and (10 20)
Slope of the line is m =(20-15)/10-5 =5/5 =1
The line passes through (5 15)
Y-15=1(x--5)
x-y= --10
The equation of the line is
x-y+10=0
two hundred parents attend the grade 6 orientation last year. Only 160 parents attended this year. fimd the percent of decrease in the attendance
Answer: 20%
Step-by-step explanation:
200 -> 160
160/200
= 0.8
1 - 0.8
= 0.2
There was a 20% decrease in attendance.
in spring 2017, data was collected from a random selection of sta 2023 students. one of the question how many concerts they had attended in the past six months. for the 39 randomly selected upperclassmen, the sample mean was 2.31 and sample standard deviation was 2.32. for the 35 randomly selected underclassmen, the sample mean was 2.29 and the sample standard deviation was 2.64. what is the point estimate of the difference in the population mean difference in number of concerts attended between underclassmen and upperclassmen?
Answer:
Step-by-step explanation:
5
According to the point estimate, the population mean difference in the number of concerts attended by freshmen vs seniors is 0.02.
What is the difference in population mean's point estimate?The difference in sample means is a point estimate for the difference in population means.
What's the best way to respond to this query?Data were collected from a random sample of STA 2023 students in the spring of 2017 in order to answer the question. One of the questions they were asked was how many concerts they had gone to in the previous six months. The sample mean was 2.31, with a sample standard deviation of 2.32 for the 39 upperclassmen who were chosen at random. The sample mean was 2.29, and the sample standard deviation was 2.64 for the 35 randomly selected underclassmen.
The point estimate of the population mean difference in the number of concerts attended by underclassmen versus upperclassmen has been requested.
The difference between the sample means is a point estimate for the difference between the two population means, as we already know.
Upperclassmen sample mean - underclassmen sample mean = point estimate,
Alternatively, 2.31 - 2.29 = 0.02 is a point estimate.
The population mean difference in the number of concerts attended by underclassmen against upperclassmen is 0.02 according to the point estimate.
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Yes or No
Please answer
Help me please!!!!!!!!!!!!!!!!!!
Answer:
d.
took the test
Step-by-step explanation:
what is the value of H in the diagram below?
Answer:
the value of h in the diagram is I hope hight
What is the vertex of Y=x^2+5x-7
Answer:
the vertex of this parabola is at (5/2, 47/4)
Step-by-step explanation:
Y=x^2+5x-7 is written in 'standard form' for a quadratic. Comparing this to
y = ax^2 + 5x - 7, we see that a = 1 and b = 5.
-b
The formula for the x-coordinate of the vertex is x = --------
5 2a
which in this case has the value x = ------- = 5/2
2(1)
Now use the quadratic formula to find the y-value of the vertex:
y = (5/2)^2 + 5(5/2) - 7, or
y = 25/4 + 25/2 - 7, or
y = 11.75 or 11 3/4
Thus the vertex of this parabola is at (5/2, 47/4)
solve for a. 15-a/12=22
Answer:
15-22=a/12
-7=a/12
12(-7)=a
-84=a
Step-by-step explanation:
Which statement is true?
−2.4<−2.40
−2.4>−2.40
−2.4≠−2.40
−2.4≤−2.40
Answer: −2.4≤−2.40
Step-by-step explanation:
Tough one. I judge −2.4 ≤−2.40 to be the correct answer. The difference in significant digits only tells us we don't know for certain that they are equal. But 2.4 MAY be equal, or less than 2.40. None of the others options allows for the fact that they may be equal.
I WILL GIVE BRAINLIEST
Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)
a. 3
b. -10
c. 0
dddwdwcd
A scuba diver descends farther down into the ocean from an initial depth of 13.6 feet below sea level. The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level.
What is the maximum rate, r, that the scuba diver may descend?
r ≥ 24.72
r ≤ 24.72
r ≤ 13.84
r ≥13.84
The scuba driver descends at a maximum rate of r ≤ -13.84
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.
The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:
2.5r - 13.6 ≤ -48.2
2.5r ≤ - 34.6
r ≤ -13.84
Hence the scuba driver descends at a maximum rate of r ≤ -13.84
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