Answers
Answers:
Center = (1, 5)
Radius = 3
===========================================================
Work Shown:
[tex]x^2+y^2-2x-10y+17 = 0\\\\(x^2-2x)+(y^2-10y)+17 = 0\\\\(x^2-2x+0)+(y^2-10y+0)+17 = 0\\\\(x^2-2x+1-1)+(y^2-10y+25-25)+17 = 0\\\\(x^2-2x+1)+(y^2-10y+25)+(-1-25+17) = 0\\\\(x-1)^2+(y-5)^2-9 = 0\\\\(x-1)^2+(y-5)^2 = 9\\\\(x-1)^2+(y-5)^2 = 3^2[/tex]
----------------------
Explanation:
The idea is to complete the square for the x and y terms separately.
Notice the jump from step 3 to step 4 has the first 0 turn into 1-1, and the second 0 turn into 25-25. This is to help complete the square for each part.
The x^2-2x+1 factors to (x-1)^2 and y^2-10y+25 factors to (y-5)^2
Once we reach the last step, we have something in the form [tex](x-h)^2+(y-k)^2 = r^2[/tex]
Center = (h,k) = (1,5)
Radius = r = 3
Related Questions
Problem 7:
show that 4^n + 4^n+1 + 4^n+2 + 4^n+3 + 4^n+4 is divisible by 11 for any positive integer
Answers
4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴
= 4ⁿ (4⁰ + 4¹ + 4² + 4³ + 4⁴)
= 4ⁿ × 341
= 4ⁿ × 11 × 31
A salesman, after deducting his commission of
6%, remits $2491 to his company. The gross
amount of the sale amounted to
(A)$2809
(B) $2650
(C) $2640
(D) $2341.54
Answers
Answer:
(C) $2640
Step-by-step explanation:
2491 x 0.06 = 149.46
2491 + 149.46 = 2640.46
Explain two ways that 3-Dimensional and 2-Dimensional objects are connected.
Answers
what is 11/12 divide 1/3
no simplify
please help i need to pass summer school
Answers
Answer:
2.75
Step-by-step explanation:
(11/12) / (1/3) = 2.75
Answer:
the answer is: 11/4
Write the equation for a parabola with a focus at (-3,-5)(−3,−5)left parenthesis, minus, 3, comma, minus, 5, right parenthesis and a directrix at x=-7x=−7x, equals, minus, 7.
Answers
Answer:
(y + 5)² = -16(x + 5)
Step-by-step explanation:
We are told the focus is at (-3, -5)
Directrix is at x = -7
This is a horizontal parabola and thus the general equation is;
(y - k)² = -4p(x - h)
Where;
(h, x) is the coordinate of the vertex.
The axis where the point where the axis of symmetry meets the directrix is at; (-7, -5) since directrix is at x = -7
Thus, coordinates of vertex is;
(-7 + (-3))/2, (-5 + (-5))/2
> (-5, -5)
Thus, equation is;
(y - (-5))² = -4p(x - (-5))
(y + 5)² = -4p(x + 5)
Where p is the distance from vertex to directrix. Thus;
p = -(-7 - (-3))
p = -(-7 + 3)
p = 4
Thus;
(y + 5)² = -4(4)(x + 5)
(y + 5)² = -16(x + 5)
Answer:
(y + 5)² = -16(x + 5)
Step-by-step explanation:
the ratio of blue to red counters is 5:2 the ratio of red the green counters is 8:3 there are 30 green counters. how many blue?
PLS HELP
Answers
Answer:
3:1
Step-by-step explanation:
Answer:
200 blue
Step-by-step explanation:
8:3 = 80:30 (red to green)
blue: red
5 :2
*40
200:80
How many solutions does it have? Pls help
Answers
Answer:
2 solutions
i hope this will help you
plsssss helpp in the next 2 min gives 10 points
Answers
Answer:
The answer is 144,5
Step-by-step explanation:
144,5/170×100 =85%
200 students in total
Step-by-step explanation:
Mr.Cruz is the director of an after-school program. He says that 170 students, or 85% of the students in his program, went on to attend college. A parent wants to know the total number of students in the program.
?/T = 85%
Where T = Total
85% = 170 students
Set-up the dimensions like this!
part/whole = part/whole
170/T = 85%/100
Multiply 170 by 100
170 • 100 = 17000
Then divided by 85
17000 divided by 85 = 200
AYUDAAA!!
Compara 3/15 y 0.92
Answers
Step-by-step explanation:
[tex] \frac{3}{15} = \frac{1}{5} = 0.2 \\ 0.92 = \frac{23}{25} \\ 0.92 > 0.2[/tex]
Apakah dua atom tersebut?
- atom p mempunyai 9 proton Dan 10 neutron
- atom q mempunyai 13 proton Dan 14 neutron
- atom r mempunyai 12 proton dan 14 neutron
- atom s mempunyai 9 proton Dan 11 neutron
Answers
Answer:
I think the Ans is second one
Please Help Me!!!!!!!
Answers
Answer: b
Step-by-step explanation: death normally last 9 min and birth 9 sec
half past 9:00p.m. what is half past of 9:00p.m.
Answers
Answer:
The answer is 9:30 pm :D.
SOMEONE HELP ME PLEASE
Answers
Answer:
5/6
Step-by-step explanation:
The outcome of a die is 1,2,3,4,5,6
Even = 2,4,6
Less than 4 = 1,2,3
Good outcomes = 1,2,3,4,6 = 5 valid outcomes
P( even or less than 4) = valid outcomes / total
=5/6
Answer:
1/4
Step-by-step explanation:
total outcome=6
p(even)=3/6=1/2
p(less than 4)=3/6=1/2
p(even or less than 4)=1/2×1/2=1/4
please help me out really need help
Answers
Answer:
B
add the two together.... 5x^3 is the only cube A or B only x is 6x and only B has that
Step-by-step explanation:
Answer:
your answer is B
[tex]f(x)=2x^{2} +6x-4[/tex]
[tex]g(x)=5x^{3} -6x^{2} -3[/tex]
[tex](f+g)x=2x^{2} +6x-4+5x^{3} -6x^{2} -3[/tex]
[tex]=5x^{3} -4x^{2} +6x-7[/tex]
OAmalOHopeO
In a class test, (+2) marks were given for every correct answer and (–1) mark was
deducted for every incorrect answer. Rashmi answered all the questions and scored 30
marks. She gave 20 correct answers. Jashpal also answered a few questions and scored
–10 marks. He gave 5 correct answers. How many questions did Rashmi and Jashpal
attempt incorrectly?
Answers
Answer:
Rashmi attempted 10 questions incorrectly while Jashpal attempted 20 questions incorrectly
Step-by-step explanation:
Marks awarded for each correct answers = +2
Marks deducted each incorrect answer = -1
The number of questions Rashmi answered = All the question
Rashmi's score = 30
The correct answers Rashmi gave = 20
The number of questions Jashpal answered = A few questions
Jaspal's score = -10 marks
The number of correct questions Jashpal answered = 5
Let x represent the number of incorrect questions, for Rashmi, we have;
20×2 + x × (-1) = 30
x = 20×2 - 30 = 10
The number of questions Rasmi attempted incorrectly, x = 10
The number of questions Jashpal attempted incorrectly is given as follows;
5×2 + x × (-1) = -10
∴ 10 - x = -10
x = 10 + 10 = 20
The number of questions Jashpal attempted incorrectly, x = 20.
The two dot plots below show the heights of some sixth graders and some seventh graders: The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 1.7. Approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders
Answers
Answer:
The number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4
Step-by-step explanation:
From the question, the mean absolute deviation (MAD) of the sixth graders = 1.2 and that of the seventh graders = 1.7
The variability in the heights of the sixth graders = 1.2
The variability in the heights of the seventh graders = 1.7
To calculate how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders, we will divide the variability of the seventh graders by the variability of the sixth graders
That is, 1.7/ 1.2 = 1.4167 ≅ 1.4
Hence, the number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4
Using a deck of 52 playing cards, what are the odds in favor of drawing a Jack or 10?
Answers
odds in favor of drawing a Jack are: 4:48
The sets A and L are given below.
A = (a, b, e}
L={c, k,j}
Find the intersection of A and L.
Find the union of A and L.
Write your answer using notation (in roster form)
Answers
Answer:
A n L = null (0)
A U L = a,b,e,c,k,j
Find BD , given that line AB is the angle bisector of
Answers
Answer:
BD = 10
Step-by-step explanation:
THEY ARE EQUAL
BECAUSE LINE AB IS THE ANGLE BISECTOR
13. Calculate the standard deviation of the set of data to two decimal places. Refer to the previous problems.
{1,2,4,4,5,6,6,}
A. 1.77
B. 0.14
C. 7
D. 3.14
E. 22
Answers
Answer:
A: 1.77
Step-by-step explanation:
(4x²y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)
Find the difference of polynomials ?
Answers
11x^2y^3 - 4xy^2
Step-by-step explanation:
(4x^2y^3 - 2xy^2 - 2y) - (-7x^2y^3 + 6xy^2 - 2y)
Combine like terms
4x^2y^3 - -7x^2y^3 = 11x^2y^3
Two negative signs together makes addition!
Combine like terms
2xy^2 - 6xy^2 = -4xy^2
Combine like terms
-2y - 2y = 0
We don’t have to include the zero
Now add 11x^2y^3 with -4xy^2 together
11x^2y^3 - 4xy^2
Therefore, the answer is: 11x^2y^3 - 4xy^2
PLEASE HELP!!!
The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is measured in meters.
Find the velocity of the particle for t = 7 seconds.
A) 152 m/s
B) 47 m/s
C) 733 m/s
D) 299 m/s
Answers
Answer:
The derivative of the position function gives the velocity function
2 t^3 + 5 t -2 derivative = 6 t^2 + 5
Help Please Now!!!!
Find The Surface Area Of The Prism
Answers
Answer:
190cm²
Step-by-step explanation:
there is 2 types of sides on this. the top and bottom are the same, the front, back, left, and right are the same.
We first calculate the surface area of the top and bottom.
5x5=25
now we multiply that by 2 because the top and bottom are the same
25x2=50
now we look at the remaining 4 sides. the sides on these are 7 and 5 so we do
7×5=35
since we have 4 sides, we multiply the answer by 4
4×35=140
we add the sums together
140+50=190cm²
Answer:
190 cm^2
Step-by-step explanation:
The formula for the surface area of a rectangular prism is:
2 (lw + hl + hw)
Use the formula with the given dimensions of the prism:
2 (5 x 5) + (7 x 5) + (7 x 5)
= 2 (25 + 35 + 35)
= 2 (95)
= 190
So the SA of the rectangular prism is 190 cm^2
what is the slope of a line perpendicular to y=-(7)/(4)x
Answers
Answer: 4/7
This is because the original line has slope -7/4. We flip the fraction and the sign, ie take the negative reciprocal, to get the perpendicular slope.
Flipping the fraction goes from -7/4 to -4/7. Then it flips to positive to get 4/7
Notice that multiplying the original and perpendicular slopes together gets us -1
(-7/4)*(4/7) = -1
This applies to any pair of perpendicular lines as long as neither line is vertical and neither is horizontal.
Answer:
[tex]\frac{4}{7}[/tex]
Step-by-step explanation:
Given
y = - [tex]\frac{7}{4}[/tex] x ( in the form y = mx , where m is the slope )
slope m = - [tex]\frac{7}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{7}{4} }[/tex] = [tex]\frac{4}{7}[/tex]
an ice fisherman wishes to cut a hole in the ice which has a diameter of 30 cm. How far around must he cut to create this hole?
Answers
Given:
Diameter of the hole = 30 cm
To find:
The area of the hole.
Solution:
The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:
[tex]r=\dfrac{30}{2}[/tex]
[tex]r=15[/tex]
Area of a circle is:
[tex]A=\pi r^2[/tex]
Putting [tex]\pi = 3.14[/tex] and [tex]r=15[/tex] in the above formula, we get
[tex]A=(3.14)(15)^2[/tex]
[tex]A=(3.14)(225)[/tex]
[tex]A=706.5[/tex]
Therefore, the area of the hold is 706.5 square cm.
How many crores are there in 20 million?
Answers
Answer:
2
Step-by-step explanation:
A cab company changes a 3$ flat rate addition to $1.50 per mile what is the y Intercept?
Answers
The y intercept would be the minimum amount charged, which would be the flat rate of $3
Answer: the y-intercept is 3
please answer the question below! first to answer correctly, I will mark as brainliest.
Answers
The probability of not winning would be :
1 - probability of winning
This is written as:
1 - n/n+3
Now to simplify as a single fraction rewrite as:
N+3/n+3 - n/n+3
Simplify to get : 3/n+3
Which statements are true? Check all that apply.
The opposite of 15 is -15.
0 The opposite of 24 is 42.
-152 and -251 are opposites.
0 Opposite integers have different numbers but the same sign.
O A number is always the same distance from 0 on a number line as its opposite.
Answers
Answer:
the first and last one
Step-by-step explanation:
Calculate the answer to the correct number of significant figures: 41.70 + 0.506 + 0.00223 = ______.
42.20823
42.2082
42.208
42.2
42.21
Answers
The answer to the correct number of significant figures is 42.21
Addition of decimal numbersWhen adding decimal numbers, the number of significance of the resulting value will be to the least decimal numbers in the given expression.
Given the sum of decimal shown
41.70 + 0.506 + 0.00223
Using the calculator to take the sum
41.70 + 0.506 + 0.00223 = 42.20823
Since the significance value in the expression is 4, hence we will round the result to 4sf to have 42.21
Learn more on addition of decimal here: https://brainly.com/question/19127052
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