Answer:
The circle has a center at (5.-1) and radius of 2 units.
Step-by-step explanation:
The circle has a center at (-5, 1) and radius of 2 units. Therefore, option A is the correct answer.
What is a circle equation?The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.
The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²
Given that, equation of a circle is x²+10x+y²-2y+22=0.
Here, x²+10x+y²-2y=-22
Add 25 on both the sides of an equation, we get
x²+10x+y²-2y+25=-22+25
x²+10x+25+y²-2y=3
(x+5)²+y²-2y=3
Add 1 on both the sides of an equation, we get
(x+5)²+y²-2y+1=3+1
(x+5)²+(y-1)²=4
(x+5)²+(y-1)²=2²
So, center is (-5, 1) and the radius is 2.
Therefore, option A is the correct answer.
To learn more about an equation of a circle visit:
https://brainly.com/question/23799314.
#SPJ6
find the 10th term of 3, 9 /2 , 27/4
Answer:
Step-by-step explanation:
the nth term of a geometric sequence is
∙
x
a
n
=
a
r
n
−
1
where a is the first term and r the common ratio
r
=
a
2
a
1
=
a
3
a
2
=
...
...
=
a
n
a
n
−
1
here
a
=
3
and
r
=
9
3
=
27
9
=
3
⇒
a
10
=
3
×
3
9
=
3
10
=
59049
chris has 50 books on his shelves. Jenny has 12% more books. How many books has jenny got
Answer:
A number
Step-by-step explanation:
maths
jenny has 56 books
Step-by-step explanation:
So she has six more or 12% more
please help!! whoever gets right i’ll mark brainlist
Answer:
It's B
Step-by-step explanation:
Because 10 less than 20 mean 20 is not greater so B. ) is correct
95 students and 57 are girls what is the percent of the girls
Answer:
60%
Step-by-step explanation:
57/95 = 0.6 = 60%
Hope that helps!
-Sabrina
Bob wants to buy a television that costs $600, including taxes. To pay for the television, he will use a payment plan that requires her to make a down payment of $240, and then pay $68.50 each month for 6 months. What is the percent increase from the original cost of the television to the cost of the television using the payment plan?
Answer:
108.5% increase
Explanation:
Find how much payments will cost for 6 months
68.50 × 6 = 411
Add payments to down payment
411 + 240 = 651
Compare:
600 vs 651
Solve for percent increase:
651 ÷ 600 = 1.085
Convert decimal into percentage:
1.085 × 100% = 108.5%
Solve for the measure of each angle. Trigonometry.
Answer:
∠A=26º
∠B=137º
∠C=17º
Step-by-step explanation:
We can use the Law of Cosines because we have all 3 side lengths.
cosA = [tex]b^2+c^2-a^2/2bc[/tex]
cosA=28^2+12^2-18^2 / 2(28)(12)
cosA=604/672
cos-1(604/672
angle A ≈ 26º
cosB = [tex]c^2+a^2-b^2/2ca[/tex]
cosB=-316/432
cos-1(-316/432
angle B ≈ 137º
26+137=163
180-163=17
angle C ≈ 17º
Consider
In square ABCD, the diagonals intersect at G.
If mLAGD = a + 2b and mzABC = 2a - b, find the values of
a and b.
C
Answer:
a = 54
b = 18
Step-by-step explanation:
ABCD is a square. It's diagonals AC and BD intersects at G.
Since, diagonals of a square bisects at right angles.
[tex] \therefore m\angle AGD = 90\degree [/tex]
[tex] \implies a + 2b = 90\degree [/tex]
[tex] \therefore a = 90\degree - 2b.....(1)[/tex]
Since, measure of each angle of a square is right angle.
[tex] \therefore m\angle ABC = 90\degree [/tex]
[tex] \implies 2a-b = 90\degree.......(2) [/tex]
From equations (1) & (2)
2(90° - 2b) - b = 90°
180° - 4b - b = 90°
-5b = 90° - 180°
-5b = - 90°
b = - 90°/(-5)
b = 18
Plug b = 18 in equation (1)
a = 90° - 2*18
a = 90° - 36°
a = 54
A spinner has 9 equal sections numbers 1-9. Determine the probability of spinning an odd number twice.
Answer:
25 /81
Step-by-step explanation:
Sample space = (1, 2, 3, 4, 5, 6, 7, 8, 9)
Probability = required outcome / Total possible outcomes
Odd numbers in sample space = (1, 3, 5, 7, 9) = 5
Required outcome = odd numbers = 5
Total possible outcomes = sample space = 9
P(odd outcome) = 5 /9
P(odd number twice) = 5/9 * 5/9 = 25 /81
Which is a measure of center of a distribution?
O A. mean
OB. range
O C. variance
OD. standard deviation
Help me please! (easy question) and (15 points) Brainliest if right!!!
Answer:
D. y = -1/2x + 18.5
Step-by-step explanation:
First you want to find the slope of the line that these coordinates make. To do this, use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the first and last points.
(1, 18) & (6, 15.5)
Plug in these values:
(15.5 - 18) / (6 - 1)
Simplify the parentheses.
= (-2.5) / (5)
Simplify the fraction.
-2.5/5
= -1/2
This is your slope.
Now plug this into the standard slope-intercept equation: y = mx + b
y = -1/2x + b
b is the y-intercept, or the value of y when x = 0.
To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 18). Plug in the x and y values into the x and y of the standard equation.
18 = -1/2(1) + b
To find b, multiply the slope and the input of x (1)
18 = -1/2 + b
Now, add 1/2 to both sides to isolate b.
18.5 = b
Plug this into your standard equation.
y = -1/2x + 18.5
This is your equation.
Hope this helps!
What is the area Of This Shape? Please Sumbody Help
Answer:
i think its 102
Step-by-step explanation:
Maury has an ice rink in his backyard. The scatter plot shows the thickness
Answer: I am not sure but you can do research on what you are looking for like I always do and get it right
Step-by-step explanation:
The equation of the line of best fit of the scatter plot is y = 1/2x + 3
The temperature if the thickness is 2 1/3 inches is 4 1/6°FThe thickness if the temperature is 12°F is 18 inchesThe equation of the scatter plotThe scatter plot passes through the points
(0,3) and (6,6)
The slope is calculated using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (6 - 3)/(6 - 0)
Evaluate
m = 1/2
The graph cross the y-axis at y = 3
So, the equation of the line of best fit is:
y = 1/2x + 3
Make a conjecture about a thickness of 2 1/3This means that:
x = 2 1/3
So, we have:
y = 1/2 * 2 1/3 + 3
Evaluate
y = 1 1/6 + 3
Add the expressions
y = 4 1/6
Hence, the temperature if the thickness is 2 1/3 inches is 4 1/6°F
Make a conjecture about a temperature of 12This means that:
y = 12
So, we have:
12 = 1/2 * x + 3
Subtract 3 from both sides
9 = 1/2 x
Multiply through by 2
x = 18
Hence, the thickness if the temperature is 12°F is 18 inches
Read more about scatter plots at:
https://brainly.com/question/6592115
Simplify
5 x 5^2
leaving your answer in index form.
Answer:
5 x 5^2=125
Step-by-step explanation:
.Meiling needs 5 dollars 35 cents to buy a ticket to a show. In her wallet, she finds 2 dollar bills, 11 dimes, and 5 pennies. How much more money does Meiling need to buy the ticket?
Answer:
$2.20
Step-by-step explanation:
First you find how much money Meiling already has
2 dollars is $2.00
11 dimes is $1.10
5 pennies is $0.05
Add them all together
2 + 1.10 + 5 = 3.15
Then subtract how much Meiling need to how much Meiling has
5.35 - 3.15 = 2.20
Meiling still needs $2.20 for the ticket
What’s the size of angle AED
Answer:
173
Step-by-step explanation:
Pls answer this question for ill give brainliest
Quadrilateral ABCD is a rectangle. BE=2x+1 and AC=6x−12 . What is BE ?
Answer:
BE=15
Step-by-step explanation:
Since E is the center, BE=2x+1
And AC is 6x-12 with E being a midpoint.
Since AC is 2 segments and BE is only 1 then you multiply 2x+1 by 2 so that
you can find x. You multiply 2x+12 by 2 because E is the midpoint so that means ED is the same value as BE
6x-12=4x+2
BD=AC
6x-4x-12=2
2x=2+12
2x=14
x=7
BE= 2x+1
2(7)=14+1=15
i need to factor 5n^2-16
Answer:
([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)
Step-by-step explanation:
Using the factorising method, difference of 2 squares
a² - b² = (a - b)(a + b) , then
5n² - 16
= ([tex]\sqrt{5}[/tex] n )² - 4²
= ([tex]\sqrt{5}[/tex] n - 4)([tex]\sqrt{5}[/tex] n + 4)
14
6
4
2
Y
-2
-2
-4
Answer:
Step-by-step explanation:
the perimeter of a semicircle is 108 cm what is the perimeter of the square drawn on the diameter of the semicircle
Answer:
Step-by-step explanation:
the perimeter of the semi-circle would be the diameter plus the circumference of half of the circle.
They want to know the perimeter of a square using the diameter of the sem-circle as ONE side, so the perimeter of the square would be 4 times the ONE side.
We should recall:
diameter = 2 times the radius circumference of a cirlce = 2π r
How do we find the diameter of the of the semi circle?
The perimeter of the semi circle is given as 108 cm
Perimeter of the semicirle = 2r + π r diameter plus semi circumference
108 = r ( 2 + π) factor out the r and solve for r
108 / (2 + π) = r divide both sides by ( 2 + r)
Now we know r, the perimeter of the squqre is 4 times 2r or 8r
perimeter of square = 8 [ 108 / (2 + π) ] π I used 3.14
= 864 / 5.14
= 168.1 cm I got rounded to nearest tenth
When I re-checked by work I found a few math, logic and calculation errors. Please re-check my answer for any more mistakes.
will give brainliest
Answer:
904.32
Step-by-step explanation:
find the volume of the cylinder using V=πr^2h
V = (3.14)(6)^2(8)
V = 904.32
Work out the size of the angle marked t
Answer:
35°Step-by-step explanation:
This is an isoceles triangle
And as we all know an isoceles triangle has two equal base angles.
And we also know that the sum of all interior angles of the triangle is 180°
So based on this we can form an algebraic equation of solve for angke t (Let's do it :))
[tex]110 + 2t = 180 \\ 2t = 180 - 110 \\ 2t = 70 \\ t = \frac{70}{2} \\ t = 35[/tex]
So the base angle is 35°
In ΔTUV, the measure of ∠V=90°, TU = 24 feet, and VT = 15 feet. Find the measure of ∠U to the nearest degree.
Answer:
39
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
sinU=opp/hyp= 15/24
sinU=15/24
U=sin^-1(15/24)
U=38.682=39
Choose the equation of the line that is parallel to the y-axis.
x=-2, x+y=0, x=y, y=2
Answer:
x = -2 is the answer. Brainly requires a 20 character answer for some reason so im writing this
Answer:
x = - 2
Step-by-step explanation:
A line parallel to the y- axis is a vertical line with equation x = c
c is the value of the x- coordinates the line passes through.
The only equation in this form is
x = - 2
can someone help?.............
Answer:
Step-by-step explanation:
The sum of the three interior angles of a triangle is always 180.
Knowing this, we can set up an equation for the given angles:
[tex]8x + 10x + 12x = 180[/tex]
[tex]30x = 180[/tex]
[tex]x = 6[/tex]
Knowing this, we can now plug it into the angles:
[tex]8x[/tex]
[tex]8 * 6[/tex]
[tex]48[/tex]
[tex]10x[/tex]
[tex]10 * 6[/tex]
[tex]60[/tex]
[tex]12x[/tex]
[tex]12 * 6[/tex]
[tex]72[/tex]
You are flying a kite and have left out 50M of string. The kites angle of elevation with the ground is 25°. If the strings stretch straight how high is the kite above the ground.
Round your answer to the nearest 10th of a metre.
Answer:
21.13 m
Step-by-step explanation:
Height of the string, (Hyoptenuse) = 50 m
The kite makes an angle of elevation with the ground of 25°.
We need to find how high is the kite above the ground. Let it is h. We can find it using trigonometry as follows :
[tex]\sin\theta=\dfrac{P}{H}\\\\h=H\sin\theta\\\\h=50\times \sin(25)\\\\H=21.13\ m[/tex]
So, the required height is 21.13 m.
Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true? Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction. Line segment TU is not parallel to line segment RS because StartFraction 32 Over 36 EndFraction not-equals StartFraction 40 Over 45 EndFraction. Line segment TU is parallel to line segment RS because StartFraction 32 Over 45 EndFraction = StartFraction 40 Over 36 EndFraction. Line segment TU is not parallel to line segment RS because StartFraction 32 Over 45 EndFraction not-equals StartFraction 40 Over 36 EndFraction.
Line segment TU is parallel to line segment RS because 32/36 = 40/45.
What is side splitter theorem?According to the "Side Splitter" Theorem, a line that crosses two sides of a triangle and runs parallel to its third side proportionally divides those two sides.
A line will divide two sides of a triangle proportionally if it runs parallel to one of the sides and intersects the other two.
Given
It is evident from the presented figure that QT=32, TR=36, QU=40, and US=45.
The opposite of the side splitter theorem asserts that a line is parallel to a third side if it divides two sides proportionally.
TU separates the two sides by a factor of in
QT/TR = 32/36 = 8/9
QU/US = 40/45 = 8/9
QT/TR = QU/US
It implies that the line TU divides the two sides equally.
Line segment TU is parallel to line segment RS using the reverse of the side splitter theorem because
32/36 = 40/45
Hence option 1 is correct.
Learn more about side splitter theorem;
https://brainly.com/question/30105519
#SPJ5
The complete Question is,
I need help on this plz thx
Answer:q=3
Step-by-step explanation:
14 multiplied by 3 equals 42
Answer: q = 3
Step-by-step explanation:
14q/14 = 1q
42/14 = 3
1q = 3
q = 3
i need this help due tomoorw
Answer: It's the last one. If you ever need help with a question like that, just use the desmos graphing calculator. You just put the equation in and it shows you the graph would look for that equation.
find the volume of the cylinder
Answer:
hope help you stay happy and safe
A 300 long wire is used to fence a rectangular plot whose length is twice its width find the length and breath
Answer:
Length = 100
Width = 50
Step-by-step explanation:
Given :
Length = 2 * width
If :
length = l
Width, w
l = 2w
Perimeter, P of rectangle :
P = 2(l + w)
P = 2(2w + w)
300 = 2(3w)
300 = 6w
w = 300/6
w = 50
l = 2w
l = 2(50)
l = 100