Answers
Answer: C. Outside the circle.
Step-by-step explanation:
To find whether point M lies on the circle, first derive the equation of the circle from the radius and center given.
Equation of a circle:
[tex](x-h)^2 + (y-k)^2=r^2[/tex]
Substitute the coordinates (0, 0) for h and k, and 2 times the square root of 3 for r:
[tex]x^2 + y^2 = 12[/tex]
Now, substitute the points (-3, 2) for x and y:
[tex]9 + 4 = 12[/tex]
This equation is incorrect, as the (x, y) coordinates produce a greater value than the radius of the circle squared. When this occurs, the point given is outside of the circle.
(A point like (1, 1), when substituted into the equation and solved to get 1 + 1 = 12, would be inside the circle, as its (x, y) coordinates produce a smaller value than the radius of the circle squared.)
As such, the correct answer is C.
Related Questions
Please solve for x. I need this answered.
Answers
2.5x - 3 + 2x = 1.75x - 1.25x + 13
4.5x - 3 = 0.50x + 13
4.0x = 16
x = 4
Answer: 4
2. We'll assume those xs are in the numerator
(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1
(6/7)x - 1/4 = (6/7)x - 1/4
0 = 0
That's always true.
Answer: Any x is a solution.
Answer:
2.5x - 3 + 2x = 1.75x - 1.25x + 13
4.5x - 3 = 0.50x + 13
4.0x = 16
x = 4
Answer: 4
2. We'll assume those xs are in the numerator
(3/7)x - 1/4 + (3/7)x = (9/7)x - (3/7)x + 3/4 - 1
(6/7)x - 1/4 = (6/7)x - 1/4
0 = 0
That's always true.
Find the Area of the Triangle. A = 1/2 (b x h)
Answers
Answer:
A=1/2(b×h)
divide a half by 12=6
6×4,since 4 is the height=24
Answer:
30 um²
Step-by-step explanation:
BC = √5² - 4²
= √25 - 16
= √9
= 3 um
AC = 12 + 3 = 15 um
A = AC×BD/2
= 15×4/2
= 15×2
= 30 um²
Calcula la altura de Juan sabiendo que proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80 metros proyecta una sombra de 2,25 metros.
Answers
Answer:
La altura de Juan por lo tanto es de 1.6 metros de altura
Step-by-step explanation:
Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:
Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.
Supongamos que x es la altura de juan que tenemos que calcular.
La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:
x= (1.8 metros/2.25 metros)*2
x=1.6 metros
La altura de Juan por lo tanto es de 1.6 metros de altura
At Subway sandwiches, how many different sandwiches can I make from 3 different types of bread, 5 different types of cheese, and 4 different types of meat?
Answers
Answer:
60 sandwiches
Step-by-step explanation:
In this case we must know that for each type of bread, it can be combined with each type of cheese and each type of meat, that is to say that the total amount of combinations would be, the amount of types of bread, for the amount of types of cheese for the amount of types of meat, that is to say:
3*5*4 = 60
That means there are a total of 60 ways to make different sandwiches
Story: The Escalator Ratio Task: Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the escalator for 30 seconds. (Things to consider: 60 seconds = 1 minute; 60 minutes = 1 hour; 24 hours = 1 day). Question: True or False? He traveled 2 meters ever 5 seconds. Answer T or F and tell (or show) how you know you are correct.
Answers
Answer: True
Step-by-step explanation:
YES, HE TRAVELLED 2 METRES EVERY 5 SECONDS
PROOF:
TOTAL RIDE TIME = 30 SECONDS
Length of elevator = 12 METRES
Distance moved per second can be calculated by = (length of elevator / total ride time)
( 12 METRES / 30 seconds) = 0.4 metres per second
Therefore, distance covered in 5 seconds :
0.4 × 5 = 2 metres.
Hence, the proof
He traveled 2 meters ever 5 seconds
Add or subtract by first changing the mixed numbers to improper fractions.
A: 3 1/3 + 5 3/4
Answers
Answer:
10/3 and 23/4
Step-by-step explanation:
Answer:
9 1/12
Step-by-step explanation:
3 1/3 + 5 3/4
Get a common denominator of 12
3 1/3*4/4 + 5 3/4 *3/3
3 4/12 + 5 9/12
8 13/12
8 + 12/12 + 1/12
8+1+1/12
9+1/12
9 1/12
Changing to improper fraction
3 1/3 = ( 3*3+1)/3 =10/3
5 3/4 = ( 4*5+3)/5 =23/4
Getting a common denominator
10/3 * 4/4 = 40/12
23/4 *3/3 =69/12
-------------
109/12
12 goes into 109 9 times
9*12 = 108 and that leaves 1 left over
9 1/12
Use sigma notation to represent the following series for the first 10 terms.
3 + (-6) + 12 + (-24) + ⋯
Answers
Answer:
The sum of 10 terms is S₁₀ = -1023
Step-by-step explanation:
Explanation:-
Given series
3 + (-6) + 12 + (-24) + ⋯
This is geometric sequence 3 , -6 ,12 , -24 ,....
a = 3 and common ratio [tex]r = \frac{-6}{3} = -2[/tex]
Given ratio r = -2 < 1
Sum of 'n' terms of a G.P
[tex]S_{n} = \frac{a(1-r^{n} ) }{1-r} if r <1[/tex]
Sum of '10' terms of a G.P
[tex]S_{10} = \frac{3((1-(-2 )^{10} }{1-(-2)}[/tex]
[tex]S_{10} = \frac{3((1-(-2 )^{10} }{3} = 1-2^{10} = 1- 1024 = - 1023[/tex]
Conclusion:-
Sum of '10' terms of a G.P = - 1023
Verification:-
The series of first 10 terms
3+(-6)+12+(-24)+48+(-96)+192+(-384)+768+(-1536) = -1023
A rectangular aquarium that is 3 inches wide, 9 inches long and 12 inches tall. If water is filled up to 9 inches, how much more water can be put in the aquarium to make it full
Answers
Answer:
81 inches^3
Step-by-step explanation:
The empty space at the top is
3 inches wide by 9 inches long by (12-9) inches tall
3*9*3 = 81 inches^3
Sunglass shack is having a 30% off sale on sunglasses. Ann paid $32 for a pair of sunglasses. What was the original price?
Answers
Answer:
about $45.71
Step-by-step explanation
32/70%
32 x 100/70
32 x 10/7
320/7
$45.71
The original price would be $41.6.
bag of potatoes weighs 10 pounds what is the weight of the potatoes on ounce
Answers
Answer:
The potato is a root vegetable native to the Americas, a starchy tuber of the plant Solanum tuberosum, and the plant itself, a perennial in the family Solanaceae. Wild potato species, originating in modern day Peru, can be found throughout the Americas, from the United States to southern Chile.
Step-by-step explanation:
Answer:
160 ounces
Step-by-step explanation:
inverse of f(x)=50000(0.8)^x
Answers
Answer:
Step-by-step explanation:
i need heeellllpppppp
Answers
Answer:
20 cents per unit
Step-by-step explanation:
Since it is 1$ 5 pencils and 100/5=20, the unit cost is 20 cents
Answer:
the unit price is $0.20 for 1 pencil
Step-by-step explanation:
if u see 5 pencils cost 1 dollars and unit price means the value of one item, so like the cost of 1 pencil
write it as a ration of cost to pencil
the ratio is 1/5
now divided 5 on the top and the bottom to get the unit price
1 divided by 5= 0.2
so now the ratio is 0.2/1
Your macaroni and cheese recipe calls for 1 2/3 cups of milk. You're having company and you need to quadruple the recipe. How much milk will you need?
Answers
Answer:
4 2/3
Step-by-step explanation:
For the quadrupled recipe, you will need 6 2/3 cups of milk.
Here, we have,
To quadruple the macaroni and cheese recipe,
we need to multiply the original recipe measurements by 4.
The original recipe calls for 1 2/3 cups of milk.
To find out how much milk is needed for the quadrupled recipe, we can multiply 1 2/3 by 4:
1 2/3 * 4
= (5/3) * 4
= 20/3
= 6 2/3
Therefore, for the quadrupled recipe, you will need 6 2/3 cups of milk.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ6
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 5?
Write your answer as a fraction in simplest form.
Answers
Answer & Step-by-step explanation:
On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.
[tex]\frac{4}{6}[/tex] or we can write this fraction as [tex]\frac{2}{3}[/tex]
So, the probability of rolling a number less than 5 is [tex]\frac{2}{3}[/tex]
Which shape is NOTa trapezoid
Answers
Answer:
The bottom left
Step-by-step explanation:
it has no pairs of parallel sides
Answer:
Step-by-step explanation:
Trapezoid should have a pair of parallel lines.
Bottom left figures does not have parallel lines. So it is not a trapezoid.
in a certain algebra class of 26 students, 16 of them play basketball and 9 of them play baseball. there are 5 students who play both sports. what is the probability that a student chosen randomly plays basketball or baseball
Answers
Answer:
3/26 students or 11%
Step-by-step explanation:
Answer:
8/9
Step-by-step explanation:
24/27 = 8/9
A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?
Answers
70 inches cubed.
Explanation:
w•l•h=v
Julio is doing an experiment in science class where he tests how high a ball bounces when it is dropped from 1 meter.
He tests several balls made of different materials and records the results. The results are shown below.
85 cm, 83 cm, 57 cm, 89 cm, 62 cm, 68 cm, 91 cm, 22 cm, 28 cm, 58 cm, 37 cm, 41 cm, 36 cm, 59 cm, 88 cm, 54 cm, 76 cm, 90 cm
Use the drop-down menus to explain how to choose the intervals for a frequency table to represent the data.
The data values have a spread of centimeters. Intervals with a range of centimeters are reasonable.
Gets THE BRANLIeST QUICKLY ANSWER AND I WILL GIVE YOU ALL MY POINTS!!!!!!!!!!!!!!!!ASAP
Answers
Answer: The data values have a range of 70 centimeters. Intervals with a range of 10-20 centimeters should be reasonable.
Answer:
it might be
69
10-20
The coordinates for a quadrilateral are (0, 0), (-1, 2), (1, 6) and (2, 4). Determine the type of quadrilateral.
Group of answer choices
Parallelogram
Square
Rhombus
Rectangle
Answers
Answer:D is a rectangle
Step-by-step explanation:
i just need this question
Answers
Does anyone know this
Answers
Answer:
It is A
Step-by-step explanation:
The square route of 174 is 13.190906. Didn't use a calculator.
another 1 will give crown to the correct answer
Answers
Answer:
4, know that in a slope-intercept form the coefficient of x is the slope.
Step-by-step explanation:
Answer:
Slope is 4
Step-by-step explanation:
one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?
Answers
Answer:
30
Step-by-step explanation:
150/100 = 1.5
1.5 is 1% of 150
20% of moviegoers recommend the movie
1.5 times 20 = 30
Jon collects 2,578 ounces of honey from his beehives. He will put the honey in
jars thert hold 6 ounces each. Which expression is best to estimate the number of
jars Jon can fill with honey?
Answers
Answer:
2,578 = 6X
Step-by-step explanation:
Given:
Total weight of honey collected = 2,578 ounce
Each jar hold honey = 6 ounce
Find:
Expression to estimate number of jars can fill :
Computation:
Assume ,
Total number of jars can fill = X
So,
Total weight of honey collected = Total number of jars × Each jar hold honey
2,578 = 6 × X
2,578 = 6X
Segment Line segment X Y is dilated using a scale factor of Two-thirds through P. Which segment shows the correct result of the dilation?
Answers
Answer:
We need the segments but which ever one has the segment that is 2/3 times the length of segments xy
Step-by-step explanation:
Answer: line c
Step-by-step explanation: I got it correct
Katherine wants to classify the quadrilateral below. Select all of the names that apply.
A. Quadrilateral
B. Square
C. Parallelogram
D. Rectangle
E. Rhombus
Answers
Answer:
a, c, and e
Step-by-step explanation:
quadrilateral= a four-sided figure
square= a plane figure with four equal straight sides and four right angles
parallelogram= a four-sided plane rectilinear figure with opposite sides parallel
rectangle= a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square
rhombus =a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides
Answer:
A,B,D
Step-by-step explanation:
I had this question on a test and these were the correct answers. So this is guaranteed correct!
What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left parenthesis, 5, comma, minus, 7, right parenthesis?
Answers
Answer:
-3/2
Step-by-step explanation:
We can find the slope between two points using
m = (y2-y1)/(x2-x1)
= (-7 - -1)/(5 - 1)
(-7+1(/(5-1)
-6/4
-3/2
Answer:
4
Step-by-step explanation:
i did khan :)
Explain the Pythagorean theorem.
A. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
B. The Pythagorean theorem states that if the square of one side of a triangle is less
than the sum of the squares of the other two sides, then the triangle is a right triangle.
C. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs equals the square of its hypotenuse.
D. The Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.
Answers
Answer:
I believe the answer is C
Step-by-step explanation:
Hope this helps you out!
Answer:
Step-by-step explanation:
c
How many solutions are there to this system of equations?
A) One solution
B)No solution
C)Infinitely many solutions
D)It cannot be determined without solving it.
First-line - y = 1/4 (x - 4)
Second-line = y = 1/4x - 1
Answers
Answer:
one
Step-by-step explanation:
A square has a triangular hole in it. What is the area of the figure?
12 in
6 in.
4 in.
12 in
168 in 2
144 in 2
120 in 2
132 in 2
