Use the diagram to write an equation that describes the position and the radius of ⊙P.
(x – 4)2 + (y + 2)2 = 16
(x + 4)2 + (y – 2)2 = 16
(x + 4)2 + (y – 2)2 = 4
(x – 4)2 + (y + 2)2 = 4
Answers
The equation of circle p with center at (-4, 2) and a radius of 4 units is (x + 4)² + (y - 2)² = 16
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The circle p has center at (-4, 2) with a radius of 4 units, hence, the equation is:
(x - (-4))² + (y - 2)² = 4²
(x + 4)² + (y - 2)² = 16
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Related Questions
Can somebody help me with this it's the last question and i'm somehow very confused
Answers
Because based on the graph u see that for 1 tablespoon you have 3 teaspoons and for 2 tablespoons you have 6 teaspoons, for 3 tablespoons you have 9 teaspoons e.t.c.
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
So it’s just no. of tablespoons x 3 = no. of teaspoons
Hope this helped :)
Given the points M = (8, 4, –3) and N = (–12, 6, –7), find Vector M N. in component form.
Vector M N = LeftAngleBracket 4, negative 10, 10 RightAngleBracket.
Vector M N = LeftAngleBracket negative 4, 10, negative 10 RightAngleBracket.
Vector M N = LeftAngleBracket 20, negative 2, 4 RightAngleBracket.
Vector M N = LeftAngleBracket negative 20, 2, negative 4 RightAngleBracket.
Answers
Considering the points M and N, the vector MN is component form is given by:
MN = [-20, 2, -4]
How to find a vector given two end-points?
The vector is given by the subtraction of the coordinates of the endpoint by the coordinates of the start point.
In this problem, for vector MN, we have that:
The endpoint is N = (–12, 6, –7).The start point is M = (8, 4, –3).Hence:
MN = N - M = [-12 - 8, 6 - 4, -7 - (-3)] = [-20, 2, -4]
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Answer:
D on edge ( MN = (-20, 2 , -4)
Step-by-step explanation:
28/100 = ?/10 + 8/100. this is the second time i asked i need help on my work
Answers
Answer:
2/10
Step-by-step explanation:
28/100 - 8/100 = 20/100 = 2/10
(5/4 × 54/48) + (5/4 × 105/75)
Answers
101/32 or 3 5/32 or 3.15625
(5/4 × 54/48) = 45/32
(5/4 × 105/75) = 7/4
7/4 x 8 top & bottom =56/32
45+56=101
Hope this helps!
Can someone explain question number 8
Answers
the poem says the bird (hope) "perches in the soul" meaning that it's always there.
the answer is that hope lives in your soul. its always there, and you can always feel it, and it just exists. it doesn't need to be justified or explained, it's a feeling. and it doesn't ask for anything in return, its there when you need it. (try to rephrase this, don't copy it word for word, i'm just trying to explain it to you)
hope this helps!! :)
Determine the probability of having 1 girl and 3 boys i a 4 child family assuming boys and girls are equally likely
Answers
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Im glad i could help out.
if x = 10 y = 9 work out x(x+2y)
Answers
Answer:
your answer is 280
Step-by-step explanation:
Because you already know what X and Y are all you will have to do is plug them in
10 (10 + 2(9))
2*9= 18
10 (10 + 18)
10+18= 28
10(28)
280
Question 13
5 pts
Joe has a rectangular prism made of aluminum and a rectangular prism made
of lead.
• Each rectangular prism has a height of 6 cm, length of 9 cm, and width of 3
cm.
• The density of aluminum is approximately 2.70
grams
• The density of lead is approximately 11.3
cm3
What is the difference, to the nearest gram, of the masses of the rectangular
prisms?
grams cm3
difference in masses = _(blank) grams
Type your numerical answer (without units) below.
Answers
The difference, to the nearest gram, of the masses of the rectangular
prisms is 1393.2 grams.
What is the volume of the rectangular prism?The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.
Volume of rectangular prism = (length x width x height)
Joe has a rectangular prism made of aluminum and a rectangular prism made of lead.
Each rectangular prism has a height of 6 cm, length of 9 cm, and width of 3 cm.
The volume of a rectangular prism made of aluminum = (length x width x height)
= [tex]6 \times 9\times 3\\\\162[/tex]
The volume of a rectangular prism made of lead= (length x width x height)
= 162 cubic cm
We know that mass = density x volume
The density of aluminum is approximately 2.70.
mass = 2.70 x 162
= 437.4 grams
The density of lead is approximately 11.3 cm3
mass = 11.3 x 162
= 1830.6 grams
The difference, to the nearest gram, of the masses of the rectangular
prisms 1830.6 - 437.4 = 1393.2 grams
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I need help pls with this
Answers
Answer:
1. Music note: (0,-7)
2. circle: (-1,-4)
3. lightning: (3,-7)
4. cross : ( -5, -7)
5. moon: (-8, 10)
6. diamond : (-5,-1)
7. star: (7,-3)
8. heart: (6,-8)
9. square: (2,0)
10. triangle : (-3,0)
Step-by-step explanation:
11. No
12; yes, "G" is at the coordinate (2,-2)
13. Yes, "D" is at the coordinate (-3,9)
14. yes, "H" is at the point (5,4)
15. Yes, "J" is at the point (8,8)
16. yes, "A" is at the point (3,7)
17. Yes, "C" is located at the point (4,-5)
18. yes, "B" is located at the point (10,-10)
19. Yes, "K" is located at the point (9,-6)
20. No
i need help with this algebra
Answers
Answer:
m=1
Step-by-step explanation:
y2-y1
-------- = y/x for slope
x2-x1
m =
y = 4-1
x= -2-(-5)
m (slope) = 3/3
m (slope) = 1
You're really good at investing
Answers
Answer:
What do you mean by "You are really good at investing" ?
Step-by-step explanation:
Kellie has built her savings account to $7,800. She is transferring it to an account that earns 5.5% interest, compounded monthly. What will the balance of the account be in 16 years?
Answers
Answer:
Kellie has built her savings account to $7,800. She is transferring it to an account that earns 5.5% interest, compounded monthly. What will the balance of the account be in 16 years?
Step-by-step explanation:
Pls help me I am confused on what to do to solve it
Answers
Explanation: You take the length and width of every rectangle and multiply each of them. For example, the top rectangle has a length of 5 in and a width of 2. You multiply them to get 10. That is the area of the top rectangle. Then you do that for the rest of them and add them all together.
1. The final scores from the last five games of two basketball teams are given.
Jumping Jackrabbits: 70, 65, 72, 80, 73
Leaping Lizards: 61, 47, 70, 63, 54
(a) Determine the MAD of each data set. In your work, show the mean and the absolute deviation of
each data value in each set.
(b) Compare and interpret the MADs in context of the situation.
Answer:
Answers
Using it's concept, it is found that:
a) For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.
b) Due to the higher value of the MAD, the Leaping Lizards have less consistent scores than the Jumping Jackrabbits.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.Item a:
For the Jumping Jackrabbits, the mean and the MAD are given by:For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.
M = (70 + 65 + 72 + 80 + 73)/5 = 72
MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.
For the Leaping Lizards, the mean and the MAD are given by:
M = (61 + 47 + 70 + 63 + 54)/5 = 59
MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.
For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.
Item b:
Due to the higher value of the MAD, the Leaping Lizards have less consistent scores than the Jumping Jackrabbits.
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A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape. What is the probability that both grapes are red? about 39.7% about 41.5% about 42.5% about 44.5%
Answers
Answer:
About 41.5%
Step-by-step explanation:
Given:
A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape.
To Find:
What is the probability that both grapes are red?
Answer choices:
about 39.7%
about 41.5%
about 42.5%
about 44.5%
Solution:
Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 .
As the red grapes are 15..
Thus,
The probability of choosing a red grape the first time is 15/23.
Because out of the total 23 grapes only 15 were red grape.
The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice
Hence, the probability of choosing or eating two red grapes will be :
15/23×14/22
=105/253
=0.415
= 41.5%
Therefore, the probability that both grapes are red is about 41.5%
Kavinsky
factored form of x² - 2xy – 24y^2
Answers
What is the total area of the figure? (square inches)
Answers
Answer:
60
Step-by-step explanation:
TOTAL SURFACE AREA = AREA OF SQUARE+2×(AREA OF TRIANGLE)
=(6×6)+2×(1/2×6×4)
=36+24=60 square inches
I hope it helped you
Answer:
The area of the full figure is 60 square inches.
Step-by-step explanation:
There are 4 triangles and one square in this figure. We can start by figuring out the area of the middle square, which would be [tex]6*6=36[/tex] because we know the sides are all 6 inches.
Next, we can look at the triangles and see that their hypotenuses (the longest sides) are all the same length, that being 5 inches. This means that we only need to find the length of the third side and then multiply the area of one triangle by 4 to get the area of all the triangles.
The pythagorean theorem states that in any right triangle, [tex]a^2 +b^2=c^2[/tex], with [tex]c^2[/tex] being the length of the hypotenuse. Since we know the length of the hypotenuse is 5 and one of the legs of the triangle is 4, we can insert this into the equation: [tex]a^2+4^2=5^2[/tex], which when simplified all the way gives us that [tex]a=3[/tex].
Since a right triangle is half of a rectangle, the easiest way to find the area of the triangle is to multiply the measures of the two legs together and then divide by two: [tex](3*4)/2=6[/tex]. Therefore, we know that each triangle in the picture has an area of 6.
Finally, you need to add all of the areas together to find the area of the full figure: [tex]36+6+6+6+6=60 in^2[/tex]
The area of the full figure is 60 square inches.
Hope this helps! :)
Part D
What is the median number of words in Darcy's essays?
Answers
Answer:
210.8 (mean for Luis), 241.5 (mean for Darcy)
Step-by-step explanation:
Luis 178 + 213 + 198 + 245 + 236 + 198 + 221 + 253 + 189 + 177 = 2108
2108/10 = 210.8 (mean for Luis)
Darcy 231 + 210 + 245 + 259 + 286 + 245 + 231 + 244 + 236 + 228 = 2415
2415/10 = 241.5 (mean for Darcy)
Answer:
To find the median number of words in Darcy’s essays, first arrange the values in the data set in ascending order:
210, 228, 231, 231, 236, 244, 245, 245, 259, 286.
Because the number of values in the data set is an even number (10), the median is the mean of the two middle values, the fifth and sixth values, in the data set. The fifth and sixth values are 236 and 244, respectively. So,
median
.
The median number of words in Darcy's essays is 240.
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
the answer is (3,4)
Step-by-step explanation:
because if you check wich quadrant it is in and you check the number you can see which one it is. x,y that is how it goes so 3,4 should be correct if you line them up.
-10 -9 -8 7 Slope of the Line: Click twice to plot each segment. Click a segment to delete it. y -6 5 3 2 -1 10 9 8 7 6 5 J 2 -8 -10 Submit Answer 3 4 5 16 7 8 O 10
Answers
Answer:
1/2
Step-by-step explanation:
The slope of a line is the ratio of "rise" to "run".
__
This line goes through grid intersections at (0, -7) and (2, -6), a rise of 1 unit for a run of 2 units to the right. The slope is ...
slope = rise/run = 1/2
Please any math experts can help me convert this thank you so much
Answers
Step-by-step explanation:
First comes the turn of 5 / 9
Lets see how it is done
1 covert it to decimal by division
By division we get 0.555555555
2 now converting it to percentage by multiplication
Multiply 0.55555555 by 100
We get 55.555555 this the percent form
Same process can be repeated to get the answer to second part
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
The grade distribution for students in the introductory
statistics class at a local community college are
displayed in the table. In this table, A = 4, B = 3, etc. Let
X represent the grade for a randomly selected student.
Which of the following correctly represents the
probability that a randomly selected student has a
grade higher than a C?
Grade
4
3
2
1
0
P(X<2)
O P(
X2)
P(X> 2)
OP(
X2)
Probability 0.43
0.31
0.17
0.05 0.04
Answers
Using the given discrete probability distribution, it is found that the probability that a randomly selected student has a grade higher than a C is given by:
P(X > 2).
What is the discrete probability distribution for the grade?From the table, it is given by:
P(X = F) = P(X = 0) = 0.04.P(X = D) = P(X = 1) = 0.05.P(X = C) = P(X = 2) = 0.17.P(X = B) = P(X = 3) = 0.31.P(X = A) = P(X = 4) = 0.43.Grades A and B are greater than C, hence the probability of getting a grade higher than C is given by:
P(X > C) = P(X = A) + P(X = B) = P(X = 3) + P(X = 4) = P(X > 2).
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Anna surveyed 300 of the students in her school about their favorite color. 186 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red
Answers
Answer:
62 %
Step-by-step explanation:
186 out of 300
186/300 = .62 this represents 62%
A purse contains $7.60 in quarters and dimes. In all, there are 40 coins. How many of each kind are there?
I NEED 2 EQUATIONS!!!!!!!
Answers
x+y=40.
How did u find 12? Because In my answer choices it doesn’t have 12
Answers
Answer:
Salamat sa puntosStep-by-step explanation:
filipino akoWhich is more, 5,999 pounds or 3 tons?
Answers
Answer:
3 tons
Step-by-step explanation:
1 ton = 2000 pounds
3 x 2000= 6,000 pounds
6000 > 5999
2x+(4x-2)+2(x+7)
I'll give one-hundred points
Answers
Answer:
the solution is
4(2x+3)
Step-by-step explanation:
a regular polygon has 33 sides find the size of each interior angle
Answers
Answer:
169.09 degrees
Step-by-step explanation:
Interior Angle of a polygon with 33 sides = (n-2) x 180/n degrees = (33-2) x 180/33 degrees = 169.09 degrees
33 sides
to find:the size if each interior angle.
solution:[tex] \frac{360}{33} [/tex]
[tex] = 10.91[/tex]
[tex]180 - 10.91[/tex]
[tex] = 169.09[/tex]
[tex] \frac{169.09}{33} [/tex]
[tex] = 5.12[/tex]
hence, the size of each interior angle is 5.12°
Which of the following could be the lengths of the sides for a triangle that is
similar to the one shown?
12
16
24
O A. 16, 18, and 48
OB. 12, 24, and 48
OC. 4, 6, and 14
D. 6, 8, and 12
Answers
Answer:
D
Step-by-step explanation:
The scale factor would be x1/2
12÷2=6 16÷2=8 24÷2=12
Answer:
D. don't know how? but the answer is in no.D
Step-by-step explanation:
divided 2
pls help me plss i beg
Answers
Answer:
A
Step-by-step explanation:
Just under means smaller than since < means smaller than. And the smaller than or equal sign doesn't make since because the price was just under.