The equation of a circle is x 2 + y 2 + 6 y = 7 x 2 + y 2 + 6 y = 7 . What are the coordinates of the center and the length of the radius of the circle?
Answer:
Vertex: (0,-3)
Radius: 4
Step-by-step explanation:
Complete the square
[tex]x^2+y^2+6y=7\\\\x^2+y^2+6y+9=7+9\\\\x^2+(y+3)^2=16[/tex]
The equation of a circle takes the form of [tex](x-h)^2+(y-k)^2=r^2[/tex] where its center is [tex](h,k)[/tex] and its radius is [tex]r[/tex].
Hence, the vertex is [tex](0,-3)[/tex] and the radius is [tex]4[/tex].
Solve: h9 = 2781
this is a fun fact belh bla
Answer:
309
Step-by-step explanation:
2781/9
Solve the system of two linear inequalities graphically.
2x +4y <-16
x ≥ 2
graph the solution set of the first linear inequality
Answer:
See attachment
Step-by-step explanation:
Isolate y in the first inequality:
[tex]2x + 4y < -16\\4y < - 16 -2 x\\y < -4 -\frac{1}{2} x\\y < -\frac{x+8}{2} \\[/tex]
Now, with both x and y inequalities found, graph it.
What is the simplest form of StartRoot 3,025 EndRoot?
16
55
52(112)
52+(112)
Question 20
Mr. Stakur rolls a 20-sided die ten times. He rolls were 1,2,3,3,4,6,7,7,8, and 11,
Find the experimental probability Find the experimental probability of Norris rolling at least 10,
Was this higher or lower than what should have theoretically happened?
А
10 percent, Lower
B
20 percent, Higher
С
20 percent, Lower
D
10 percent, Higher
The correct option regarding the probability of rolling a number that is at least 10 is given by:
А 10 percent, Lower
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For the theoretical probability, it is calculated before any experiment. 11 out of 20 numbers are at least 10, hence it is given by:
pT = 11/20 = 0.55 = 55%.
For the experimental probability, we consider previous trials, in which one out of 10 resulted in a number that is at least 10, hence:
pE = 1/10 = 0.1 = 10%.
Which is lower than the theoretical probability, hence option A is correct.
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If you were to track coffee preferences among your co-workers for the next two weeks, which type of statistical study would you be performing? (statistics)
Answer:
Well I would say inferntial because its more testing your hyptohsis between two friends to see which coffe they like more
240inches equals how many feet
What is the last number in the 9th line
44 is the last number
most likely
A board is 86 inches long. How long is it in feet and inches?
Answer:
7 feet and 2 inches
Step-by-step explanation:
12 inches in a foot, which in the case of 86 we would have 7 feet 84 inches which leaves us with 2 extra inches hence 7'2"
The following table gives data relating the intensity of exercise on a scale of 0-1 and the pulse rate of the person. If the intensity were to increase to 0.90(assuming. the rate stays the same), approximately what would be the associated pulse rate?
SHOW STEPS
Answer: [tex]The[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]C.[/tex] [tex]200[/tex]
Step-by-step explanation:
[tex]I ~can ~see ~that ~it ~does~ not ~appear ~to ~be[/tex] [tex]LINEAR[/tex]
[tex]y = 73e^kx[/tex] [tex]< ---~pulse~rate[/tex]
[tex].7[/tex] [tex]when[/tex] [tex]y = 155[/tex] [tex]< ---~sub ~in ~x[/tex]
[tex]155 = 73 e^(.7 * k)[/tex]
[tex]ln ( 155/73) = .7k[/tex]
[tex].75296567 = .7k[/tex]
[tex]k = 1.07567[/tex]
[tex]for[/tex] [tex]x = 0.9 :[/tex] [tex]pulse rate = y = 73 e^(1.07567[/tex] [tex]^. .9) = ~ 192[/tex]
[tex]Therefore~your~answer~is:~C.~200[/tex]
What is the probability of a red on this spinner?
Be sure to reduce.
? 1
Answer:
1/4 is the correct answer
Kathleen says that all quadrilaterals have right angles. Grace says that quadrilaterals do not have to have right angles. Explain who is correct.
Answer: Grace is correct because a rhombus does not have right angles
Step-by-step explanation:
Grace's assertion is on point. Right angles are not present in all quadrilaterals.
What is quadrilateral?A quadrilateral in geometry is a four-sided polygon with four edges and four corners.
As per the definition of Quadrilateral and rectangle, the rectangle is the type of quadrilateral that has 4 right angles.
Other varieties of quadrilaterals consist of:
Trapezium: Doesn't must have four right angles, but has one pair of opposite sides that are parallel.
A parallelogram has four right angles, but not necessarily two sets of opposite sides that are parallel.
All four sides of a rhombus are equal in length, although there aren't always four right angles.
Kite: Does not must have four right angles, but two adjacent pairs of sides that are equal in length.
Therefore, Grace's assertion is right.
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Use the graph to complete the table.
Pema is 85 months old and Rinzin is 7⅔ years old. who is older? How do you know?
help me slove this please
Answer:
Rinzin is older
Step-by-step explanation:
The reason is that since you probably already know that there are 12 months in a year it would be 85/12=7.0833 years and 23/12=7.666 so that makes rinzin older
Hope that helps :)
Pema is older than Rinzin if Pema is 85 months old and Rinzin is 7⅔ years old.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Pema is 85 months old and
Rinzin is 7⅔ years old.
We have to check who is older.
We know that 1 year = 12 months
So if 85 months are conveted to years by dividing 85 by 12
Pema, 85/12 years= 7.08 years
Rinzin, 7⅔ years = 7.06 years
We know that 7.08>7.06
Hence, Pema is older than Rinzin if Pema is 85 months old and Rinzin is 7⅔ years old.
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Solve the following equation. 14 = w2
Determine whether the sequence is arithmetic, geometric or neither.
0.25, 2, 16, 128, 1024
What is the slope of the line?
m=
Answer:
The slope is [tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
Standard form for a linear equation/graph:
[tex]y = mx + b[/tex]
[tex]m[/tex] is the slope, and [tex]b\\[/tex] is the Y- intercept (basically where the graph crosses the y axis).
[tex]m[/tex] can be shown by a fraction: [tex]\frac{Rise}{Run}[/tex]
In this graph, measuring from the two points of contact, the rise is 4 and the run is -3. If the graph moves towards the left while rising, then the run part of the slope should be negative, and vice versa.
Thus, the slope of this graph is [tex]-\frac{4}{3}[/tex]
Here's the function for the line if you need it:
[tex]y = - \frac{4}{3} x + 3[/tex]
Can you guys help me please :(
Answer:
Step-by-step explanation:
18:44yd x 27 yd = 1188 yd,
then subtract the two unshaded squares, 2 x (22 x 6) = 264
1188 - 264 = 924[tex]yd^{2}[/tex]
The radius of a circle is 19 meters. What is the circle's circumference?
r=19 m
Use 3.14 for .
Answer:
59.66
Step-by-step explanation:
pls help
find f(p-5)
[tex]\text{Given that,}~f(j) = -5j-4\\\\f(p-5) = -5(p-5) -4\\\\~~~~~~~~~~~~=-5p+25-4\\\\~~~~~~~~~~~~=-5p+21[/tex]
Suppose A and B are dependent events. If P(AIB) = 0.55 and P(B) = 0.3, what is P(AB)?
A. 0.22
B. 0.11
C. 0.165
D. 0.275
Answer: C. 0.165
Step-by-step explanation:
The value of P(A∪B) = 0.835
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
Given that, A and B are dependent events. If P(AIB) = 0.55 and P(B) = 0.3,
0.55 = P(A∩B) / 0.3
P(A∩B) = 0.165
P(A) = 1-P(B)
P(A) = 1-0.3
P(A) - 0.7
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∪B) = 0.3+0.7-0.165
P(A∪B) = 0.835
Hence, the value of P(A∪B) = 0.835
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19. If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?
O 16, -16
O 16, 1/16
O 8,-8
O 8,1/8
Answer:
16, 1/16
Step-by-step explanation:
[tex](4)^2 =16[/tex]
[tex](4)^{-2} =\frac{1}{16}[/tex]
Hope it helps you in your learning process.
[tex]\large{\textsf{\textbf{Answer\::}}[/tex]
Option B
[tex]\large{\textsf{\textbf{Calculations\::}}[/tex]
If the base is 4 , and the exponent is 2 , then the expression looks as follows :
[tex]\textbf{\textsf{$4^2$}}[/tex]
So we multiply 4 times itself .
The answer is :
[tex]\textsf{\textbf{16}}[/tex]
Detail : 4² is not equal to 4×2 , and here's why .
4² = 4 × 4 = 16
4 × 2 = 8
Now , if the exponent is negative , then we turn the number over as follows :
4⁻² = [tex]\mathsf{\dfrac{1}{16} }[/tex]
So the right option is :
[tex]\bigcirc[/tex] 16 , -16
[tex]\bigcirc\!\!\!\!\!\!\bigstar[/tex] 16 , 1/16
[tex]\bigcirc[/tex] 8 , -8
[tex]\bigcirc[/tex] 8 , 1/8
(Option B is right)
[tex]\footnotesize\text{hope\:helpful~}[/tex]
Which equation can be used to determine the value of x?
(6x + 2) + 40 = 90
(6x +2) + 40 = 180
None of these
(6x + 2) = 40
All of these
Complementary angles have sum 90°
Hence
6x+2+40=90Option A
6x+42=1806(x+7)=6(30)x+7=30x=23Answer:
A)(6x + 2) + 40 = 90
Step-by-step explanation:
(for convenience, I have labelled it with alphabets)
Line ED has crossed line AB perpendicularly resulting [tex]\angle BFC[/tex] and [tex]\angle CFD[/tex] complimentary to each other. That means
[tex]\angle BFC+\angle CFD=90^{\circ}[/tex]
Here:
[tex]\angle BFC=(6x+2)^{\circ}[/tex] [tex]\angle CFD=40^{\circ}[/tex]Hence,
The equation can be used to determine the value of x is
(6x + 2) + 40 = 90In conclusion
Our answer is A)
Find the perimeter of ABC
Answer:
36 ft
Step-by-step explanation:
[tex]\triangle ABC\sim\triangle DEF[/tex] (Given)Perimeters and corresponding sides of similar triangles are in proportion[tex]\implies\frac{P( \triangle ABC)}{P(\triangle DEF)}=\frac{BC}{EF}[/tex] [tex]\implies\frac{P( \triangle ABC)}{12}=\frac{15}{5}[/tex] [tex]\implies\frac{P( \triangle ABC)}{12}=3[/tex] [tex]\implies P( \triangle ABC) =12(3)[/tex] [tex]\implies P( \triangle ABC) =36 \: ft[/tex]Find the area of the regular polygon 10, 4
A freight elevator can hold a maximum weight of 3,500 pounds.
A deliveryman weighs 200 pounds. He is delivering cartons that each
weigh 48 pounds. He wants to know how many cartons he can safely
put on the elevator at one time. Let c represent the number of cartons.
Answer:
C
Step-by-step explanation:
[tex]200 + 48c \leqslant 3500[/tex]
[tex]48c \leqslant 3300[/tex]
[tex]c \leqslant 68.75[/tex]
hat is the area of one base of the triangular prism? 24 square units 48 square units 160 square units 200 square units
Answer:
24 a.)
Step-by-step explanation:
the base is a triangle
Of the 528 clients at Bernie's salon, 122 of them have black hair. What is the probability that a randomly selected client at Bernie's salon has black hair? Write your answer as a fraction or whole number.
The probability that a randomly selected client at Bernie's salon has black hair is 61 / 264.
What is the probability?Probability measures the odds that a stated event would occur. The odds the event happens lies between 0 and 1.
The probability that a client at Bernie's salon has black hair = number of clients with black hair / total number of clients
122 / 528 = 61 / 264
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Write a simplified expression that represents the...
a. area of the large rectangle.
b. area of the small rectangle.
c. area of shaded region.
Answer:
See below
Step-by-step explanation:
a.
Area of the large rectangle = (6 + x) (6 - x)->Area of the large rectangle [tex]=(6)^2-x^2[/tex]-> Area of the large rectangle [tex]= 36-x^2[/tex]b.
Area of the small rectangle = (2 + x) (2 - x)->Area of the small rectangle [tex]=(2)^2-x^2[/tex]->Area of the large rectangle [tex]= 4-x^2[/tex]c.
Area of shaded region = Area of the large rectangle - Area of the small rectangle-> Area of shaded region [tex]=( 36-x^2)-(4-x^2)[/tex]-> Area of shaded region = [tex]=36-x^2-4+x^2[/tex]-> Area of shaded region [tex]=32 \:units^2[/tex]The area of a circle is 9π in². What is the circumference, in inches? Express your answer in terms of \piπ.
Answer:
C = 6π in
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
the area (A) of a circle is calculated as
A = πr²
given A = 9π , then
πr² = 9π ( divide both sides by π )
r² = 9 ( take square root of both sides )
r = [tex]\sqrt{9}[/tex] = 3
then
C = 2π × 3 = 6π in
The circumference of the circle is C = 6π inches
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 circumference of the circle be C
Now , the area of the circle be A = 9π inches²
where area of the circle = πr²
So , r² = 9
Taking square roots , we get
r = 3 inches
Now , the circumference C = 2πr
C = 6π inches
Hence , the circumference is 6π inches
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