Given:
The equation of the circle is
We need to determine the center and radius of the circle.
Center:
The general form of the equation of the circle is
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation to determine the center.
The given equation can be written as,
Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
Radius:
Let us compare the general form of the equation of the circle with the given equation to determine the radius.
Hence, the given equation can be written as,
Comparing the two equation, we get;
Thus, the radius of the circle is 8
Write in the form ( x + p ) ^2 + q x^ 2 − 10 x
Answer:
(x - 5)² - 25
Step-by-step explanation:
using the method of completing the square
x² - 10x
add/subtract ( half the coefficient of the x- term )² to x² - 10x
x² + 2(- 5)x + 25 - 25
= (x - 5)² - 25
please answer thank you!
Answer:
1. Median:70, Range:12, IQR: 8
2. Median: 59, Range: 48, IQR: 31
Step-by-step explanation:
Hello, the answers I have are just approximations because I can not tell the specific number in between each mark.
The median is the middle vertical line of the box. The range is you maximum subtracted from your minimum. You can find these at the lines that extend out of the box. The interquartile range is the ends of the box subtracted from each other, meaning quartile 3 subtracted from quartile 1.
Hope this helps.
Seleccione el número que se puede
describir mejor como enteros.
the second one
Step-by-step explanation:
Help! I need to finish but I'm stuck! Will give brainliest!
The shaded figure below is composed of a trapezoid and a semicircle on a coordinate plane.
Which of the following expressions represents the area of the shaded figure?
2(18 + π)
2(12 + π)
4(9 + 2 π)
8(3 + π)
Answer:
2(12 + π)
Step-by-step explanation:
This will get you about 30and even by just counting squares you will get the closest to this answer.
Ahmed and Babar share 240g of sweets in the ration 7:3. Calculate the amount Ahmed receives
The amount received by Ahmed is 168 gm.
What is Ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.
Here, let the amount received by Ahmed be 7x
and amount received by Babar be 3x
Total amount of sweets = 240 gm
Now, according to question,
7x + 3x = 240
10x = 240
x = 240/10
x = 24
Thus, the amount received by Ahmed is 7 X 24 = 168 gm and amount received by Babar = 3 X 24 = 72 gm.
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I need this answer quickly please :)
monkey B
Step-by-step explanation:
f(x) = 16x2 + 32x − 9?
Step-by-step explanation:
c beacuse if you subtract 8 by 2 you get 6 times x
the length of a line is y centimetres write down an expressions in terms of y for the length of the line in millimetres
Answer:
L=10y
Step-by-step explanation:
1cm=10mm
Hence, the length in millimeters will be 10 times the value in cm.
Solve-2x6x + 9.
A. x > -3
B. x < -5
OC. x>-5
D. x <-3
Step-by-step explanation:
please mark me as brainlest
Answer:
[tex]x < - 5[/tex]
Step-by-step explanation:
[tex] - 2x - 6 > x + 9[/tex]
[tex] - 2x - x > 9 + 6[/tex]
[tex] - 3x > 15[/tex]
[tex] \frac{ - 3x}{ - 3} > \frac{15}{ - 3} [/tex]
[tex]x < - 5[/tex]
Evaluate -6y - 5 for y = 1/2
Answer:
15
Step-by-step explanation:
-6y-5
Substitute 1/2 for y.
-6y-5
-6(1/2)-5
-3(-5)
15
2x(x-5) -x (3 + 2x) = 26
help me pls
Answer:
x = -2
Step-by-step explanation:
[tex]2x(x-5)-x(3+2x) = 26\\2x^{2} -10x-3x-2x^{2} = 26\\-13x=26\\x=\frac{26}{-13} \\=-2[/tex]
Its basically the order of operations, from left to right , evaluate brackets (if possible), then multiplication or division, lastly followed by addition or subtraction.
2x2-10x-3x-2x2=26
Eliminam opusele
reducem termenii
-13x=26
imparte ambele parti
x=-2
Step-by-step explanation:
Which expression is equivalent to -6(-2+2x)?
O −4-12%
O −4+2%
O 4-12%
O 4+12%
Use distributive law
a(b+c)=ab+ac
-6(-2)-6(2x)12-12x12(1-x)Use the function to predict the minimum target heart rate for a person 20 years old. beats per minute
The minimum target heart rate for a person 20 years old is 120 beats per minute
How to predict the minimum target heart rate?The equation of the function is given as:
y = -0.6x + 132
Where x represents the age, and y represents the minimum target heart rate
From the question, we have:
x = 20
Substitute x = 20 in y = -0.6x + 132
This gives
y = -0.6 *20 + 132
Evaluate
y = 120
Hence, the minimum target heart rate for a person 20 years old is 120 beats per minute
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Answer:
Answer is 120 !!
Step-by-step explanation:
~Hope this helps! :)
M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?
A.
5 units
B.
9 units
C.
10 units
D.
12 units
This is for edmentum btw
Use technology or a z-score table to answer the question.
The weights of boxes of rice produced at a factory are normally distributed with a
mean of 20 ounces and a standard deviation of 1.5 ounces. Consider a shipment of 1500 boxes of rice.
How many of the boxes will weigh 18 ounces or less?
138 boxes
154 boxes
632 boxes
781 boxes
The number of boxes will weigh 18 ounces or less will be 138. Then the correct option is A.
What is a normal distribution?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The weights of boxes of rice produced at a factory are normally distributed with a mean of 20 ounces and a standard deviation of 1.5 ounces.
Consider a shipment of 1500 boxes of rice.
Then the number of the boxes will weigh 18 ounces or less will be
z = (18 - 20) / 1.5
z = -1.33
Then the probability will be
P(x ≤ 18) = P(z ≤ -1.33)
P(x ≤ 18) = 1 - P(z > -1.33)
P(x ≤ 18) = 1 - [1 - P(z < -1.33)]
P(x ≤ 18) = P(z < -1.33)
P(x ≤ 18) = 0.091211
Then the number of the boxes will weigh 18 ounces or less will be
⇒ 0.091211 x 1500
⇒ 136.8
approximately 138 boxes.
Then the correct option is A.
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In one country, approximately 178,200 of 990,000 residences are rentals. Determine the percentage of residences in the country that are rentals.
Answer:
18%
Step-by-step explanation:
178 200 / 990 000 x 100% = 18%
Your teacher just bought a new aquarium that is a rectangular prism. If his/her aquarium has a length 48 inches, a width of 36 inches and a height of 30 inches, what is the aquarium’s volume?
The volume of the rectangular aquarium prism will be 51840 cubic inches.
What is a rectangular prism?A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
Your teacher just bought a new aquarium that is a rectangular prism.
If an aquarium has a length of 48 inches, a width of 36 inches, and a height of 30 inches.
Then the volume of the aquarium will be
The volume is given as
Volume = Length x Width x Height
Then we have
Volume = 48 x 36 x 30
Volume = 51840 cubic inches
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11/12 - 7/9
5/36
5/72
25/36
25/72
c
Step-by-step explanation:
DILATE TRIANGLES URGENTTTTTT
photo is inserted so work from that, the original triangle is the one in blue.
The Dilation is 0.76
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.
Dilation or scale factor= Dimension of new shape/ dimension of old shape
= Perimeter of new triangle(green)/ Perimeter of old Triangle (blue)
= 8.3/10.9
= 0.76
Hence, the scale factor is 0.76.
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Question 5 of 5
Select the correct answer from each drop-down menu.
The area of this rectangle is 54 square inches. Create an equation to find the value of n.
3(n-1)
54 square inches n+2
rẻ tint
▼ = 0
Answer:
[tex]3n^2+3n-6=54[/tex]
Step-by-step explanation:
Total Area=54 square inches. Area=length*width.
Because the length is [tex][3(n-1)][/tex], and the width is [tex](n+2)[/tex], you can plug that into the equation for area. In this case, because the total area is 54, we can plug that in for area.
[tex][3(n-1)](n+2)=54[/tex]
Distribute through the parenthesis in [tex]3(n-1)[/tex].
[tex](3n-3)(n+2)=54[/tex]
Then, multiply [tex]3n-3[/tex] and [tex]n+2[/tex] using whatever method you prefer. I used FOIL, which stands for First, Outer, Inner, Last. You multiply the first terms together, the outer terms together, the inner terms together, and the last terms together.
[tex]3n^2+6n-3n-6=54[/tex]
Simplify.
[tex]3n^2+3n-6=54[/tex]
Anyone know the answer
Step-by-step explanation:
-2g(1+g)
-2g - 2g²
(-2)g - (2)g²
if the point D (8, -5) is reflected over the x-axis, the coordinates of D’ would be
The image of the point after the reflection across the x-axis is (8,5)
How to determine the image of the point?The point is given as:
D = (8,-5)
The rule of reflection across the x-axis is:
(x,y) -> (x,-y)
So, we have:
D' = (8,5)
Hence, the image of the point after the reflection across the x-axis is (8,5)
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1. How many ways can Grant arrange 3 of his 10 plants on a window ledge?
2. A parade organizer received 8 entries for floats. How many ways can he arrange 4 floats out of the 8 entries?
3. Express 4! in expanded form.
4. The number of ways 15 members of a 24-member club can be arranged. ( use permutation notation). PLEASE HELP ME!! and thankyou
The number of ways that Grant can arrange 3 of the 10 plants is 120 ways and the number of ways that 4 floats out of 8 can be arranged is 70 ways.
How can these combination problems be solved?Grant can arrange 3 out of 10 plants in the following number of ways:
= 10!/ ((10! - 3!)3!)
= ( 10 x 9 x 8) / (3 x 2)
= 120 ways
The parade organizer can arrange 4 floats out of 8 as:
= 8!/((8! - 4!)4!)
= (8 x 7 x 6 x 5) / (4 x 3 x 2)
= 70 ways
When 4! is written in expanded form, it comes out as:
= (4 x 3 x 2)
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Find Median of 10,12,14 and 16
Step-by-step explanation:
the median is the value, where half of the other values is smaller (or equal), and the other half bigger (or equal).
with an even number of data points that is not directly possible to find.
in this case the 2 middle values are taken and their mean value is the median.
in our case, the 2 middle values are 12 and 14.
their mean value is
(12+14)/2 = 26/2 = 13
so,
13 is the median (even though if is not a data point itself).
Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also measures π radians. C. An angle that measures 60° also measures π/3 radians. D. An angle that measures π/3 radians also measures 30°.
Answer:
TRUE: A, B, C
False: D
Step-by-step explanation:
A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.
__
A. An angle that measures π/4 radians also measures 45°. TRUE
45° × π/180° radians = π/4 radians
B. An angle that measures 180° also measures π radians. TRUE
180° × π/180° radians = π radians
C. An angle that measures 60° also measures π/3 radians. TRUE
60° × π/180° radians = π/3 radians
D. An angle that measures π/3 radians also measures 30°. FALSE
30° × π/180° radians = π/6 radians
Describe the effect the change in scale has on what the graph suggests. a. On graph B, the group of birds seems to have twice as much as the group of mammals. b. The differences between the groups seems much less in Graph A. c. The differences between the groups seems much less in Graph B. d. On graph A, the group of mammals seems to have one-quarter as much as the group of fish. Please select the best answer from the choices provided
The effect that the change in scale has on what the graph suggests is C. The differences between the groups seems much less in Graph B.
What is a graph?It should be noted that graph simply means a diagram that's used to show the information about a data given.
Here, the effect that the change in scale has on what the graph suggests is that the differences between the groups seems much less in Graph B.
Therefore, the correct option is C.
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Which of the following best describes AD?
OA. Angle bisector
OB. Perpendicular bisector
OC. Median
OD. Altitude
B
17
D
17
C
Answer:
see the attachment photo!
just comment here if you need help
The best description about the line AD is,
⇒ Perpendicular bisector
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle ABC is shown in figure.
Now, We have by figure;
BD = 17
DC = 17
Hence, We can say that;
Line AD is Perpendicular bisector of line BC.
Thus, The best description about the line AD is,
⇒ Perpendicular bisector
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11. 6.2 m B 1.8m Calculate the value of x. NOT TO SCALE
Answer:
24.19
Step-by-step explanation:
[tex] \tan(x) = \frac{6.2}{13.8} \\ x = { \tan}^{1} \frac{6.2}{13.8} \\ x = 24.19320899[/tex]
or the value of x can be 24.20
plsssss. Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side MN. Figures are not drawn to scale.
[tex]\\ \rm\Rrightarrow \dfrac{IJ}{IL}=\dfrac{MN}{MP}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{24}{12}=\dfrac{MN}{3.8}[/tex]
[tex]\\ \rm\Rrightarrow 2=\dfrac{MN}{3.8}[/tex]
[tex]\\ \rm\Rrightarrow MN=3.8(2)[/tex]
[tex]\\ \rm\Rrightarrow MN=7.6[/tex]
P and q are two arithmetic sequences. The first four terms of sequence P are 2,6,10,14. The nth term of sequence Q is 145-3n. The rth term of sequence P has the same values as the rth term of sequence Q. Work out the value of r.
Answer:
r = 21
Step-by-step explanation:
nth of sequence P :
[tex]T_{n} = 4n -2[/tex]
[tex]r^{th} term[/tex] : [tex]4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21[/tex]
After arguing for two weeks, melissa convinced her parents to have her birthday party at flyzone trampoline park. as soon as she gets there, melissa spends time practicing flips on the trampolines. then, she spends 1/2 of an hour eating birthday cake with her friends. in all, melissa spends 1/4 hours at flyzone.
The amount of time that Nora practices flips is; t = 1 ¹/₄
How to Solve Algebra problems?We are told that;
Nora spends time practicing flips on the trampolines. Let this be t.
Then, she spends 1/2 of an hour eating birthday cake with her friends.
Thus, total amount of time spent on flips and eating with her friends is;
t + ¹/₂ = 1 ³/₄
t = 1 ³/₄ - ¹/₂
t = 1 ¹/₄
Complete Question is;
After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she gets there, Nora spends time practicing flips on the trampolines. Then, she spends 1/2 of an hour eating birthday cake with her friends. In all, Nora spends 1 3/4 hours at FlyZone. Which equation can you use to find the amount of time Nora practices flips?
Solve this equation for (t) to find the amount of time Nora practices flips
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