A circle has its center at (-2, 5) and a radius of 4 units. What is the equation of the circle? (1 point)
(x + 2)2 + (y - 5)2 = 16
(x + 2)2 + (y + 5)2 = 16
(x + 2)2 + (y - 5)2 = 4
(x - 2)2 + (y + 5)2 = 4
Answer:
equation of circle (x +2)² + (x + 5)² = 16.
Step-by-step explanation:
Given : A circle has its center at (-2, 5) and a radius of 4 units.
To find : What is the equation of the circle.
Solution : We have given center at (-2, 5) and radius = 4 units .
Standard form of circle : (x -h)² + (x + k)² = r²
Where, ( h, k) is center , r = radius .
Plugging the values of h , k and r in standard equation
(x -(-2))² + (x + 5)² = (4)²
(x +2)² + (x + 5)² = 16.
Therefore, equation of circle (x +2)² + (x + 5)² = 16.
Aaron deposits $8,000 into an account that earns 3% interest, compounded Annually. How much money will he have after 4 years
PLEASE HELP 60 POINTS FOR THE RIGHT ANSWER SHOW WORK
x - 32 = 73 what dose x equal
x - 32 = 73
to get x add 32 to 73
32 +73 = 105
x = 105
Cammie goes to the gym to exercise 4 times per week altogether how many times does she go t the gym in 10 weeks?
Perform the indicated operation. 1 2/3 + 5 3/8
A. 7 1/24
B. 6 5/24
C. 6 124
Answer: The correct option is (A) [tex]7\dfrac{1}{24}.[/tex]
Step-by-step explanation: We are given to perform the following indicated operation :
[tex]E=1\dfrac{2}{3}+5\dfrac{3}{8}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following rule :
[tex]a\dfrac{b}{c}=\dfrac{ac+b}{c}.[/tex]
From (i), we get
[tex]E\\\\=1\dfrac{2}{3}+5\dfrac{3}{8}\\\\\\=\dfrac{5}{3}+\dfrac{43}{8}\\\\\\=\dfrac{40+129}{24}\\\\\\=\dfrac{169}{24}\\\\\\=7\dfrac{1}{24}.[/tex]
Thus, the required answer is [tex]7\dfrac{1}{24}.[/tex]
Option (A) is CORRECT.
At 7p.m last night the temperature was 10 °f at 7
a.m. the next morning the temperature was -2 by how much did the temperature change from 7 p.m. to 7
a.m.?
The coordinates of the vertices of △ABC are A(−4, 6) , B(−2, 2) , and C(−6, 2) .
The coordinates of the vertices of △A′B′C′ are A′(2, 6) , B′(0, 2) , and C′(4, 2) .
Drag and drop the answers into the boxes to correctly complete the statement.
A sequence of transformations that maps △ABC to △A′B′C′ is a blank followed by a blank.
translation 2 units left
reflection across the x-axis
reflection across the y-axis
translation 2 units down
Answer-
The sequences of transformations that maps △ABC to △A′B′C′ are
Reflection across the y-axisTranslation 2 units leftSolution-
The coordinates of the vertices of ΔABC are
A = (−4, 6)
B = (−2, 2)
C = (−6, 2)
The coordinates of the vertices of ΔA′B′C′ are
A′ = (2, 6)
B′ = (0, 2)
C′ = (4, 2)
As all the y-coordinates of all the function are same, so the triangle is neither translated up or down (∵ (x, y) → (x, y±k)), nor reflected over x-axis(∵ (x, y) → (x, -y)).
As the signs of x-coordinate is changed, it might be reflected over y axis,
Rule for reflection over y axis is,
(x, y) → (-x, y)
so,
A" = (4, 6)
B" = (2, 2)
C" = (6, 2)
As the x-coordinates of vertices of ΔA′B′C′ are 2 units less than that of ΔA"B"C"
So it is then translated 2 units left.
Therefore, the sequences of transformations that maps △ABC to △A′B′C′ are
Reflection across the y-axisTranslation 2 units leftAnswer:
Here is my test answer
Step-by-step explanation:
Tom deposited $2410 in a bank that pays 12% interest, compounded monthly. Find the amount he will have at the end of 3 years
Complete the two-column proof.
Given: x/6 + 2 =15
Prove: x = 78
X/6 + 2 =15 a. __________
x/6= 13 b. __________
x = 78 c. ___________
Answer:
This is proved with two property of equality subtraction and multipication property.
Step-by-step explanation:
Given [tex]\frac{x}{6} + 2 = 15[/tex]
By subtraction property of equality
[tex]\frac{x}{6} +2 - 2 = 15 - 2[/tex]
⇒ [tex]\frac{x}{6} = 13[/tex]
Now by multiplication property
x = 13(6) = 78
Hence the result.
Which of the following expression simplifies to 4/15?
A. -2/3-2/5
B. -2/5+2/3
C. -2/3 +2/5
D. 2/5+2/3
Answer quick plz
Brianna bought a new car for $15000. Each year the value of the car deprecaites by 30% of its value of the previous year. In how many years will the car be worth only $500?
PLEASE HELP!
I will give you a 5 star rating and thanks
original coordinates are
A (0,3)
B(-1,1)
C(2,1)
so add 3 to the x's and subtract 3 from the y's
A becomes (3,0)
B becomes (2,-2)
C becomes (5, -2)
Answer:
i dont know either sorryyyyyyyy
Step-by-step explanation:
3rd grade math explain how you know if a number can be divided by 10 evenly
In order to know if a number can be divided by 10 evenly, then such a number must end with a zero.
In order to determine the number(s) that can be divided evenly;
The last digit of the number must be zero.For instance, given the numbers 450, 130, 100
Note that they all end in zeroThey can be divided by 10 without remainder.450/10 = 45, 130/10 = 13, 100/10 = 10Hence in order to know if a number can be divided by 10 evenly, then such a number must end with a zero.
Learn more here: https://brainly.com/question/2239179
y=f(x) is odd (f(-x)=-f(x)) and f(x>0) = x^2-5x-12, x is not = to 0. What points does the line f(x)=12 go through.
A sweater was originally $55. It is now marked down to 65% of its original price. How much is the sweater now?
Write an inequality that describes this graph.
Please explain HOW you got your answer, thanks a ton! :)
Answer:
z ≤ 1
Step-by-step explanation:
We know the following:
If the initial point is colored, then the only possible inequality signs are ≤ or ≥. However, if the initial point is not colored, then the possible inequality signs for the inequality is < or >. If the line goes to the left of the initial point, it means that the initial point is greater than the numbers on the left of the initial point. If the line goes to the right of the initial point, it means that the initial point is less than the numbers on the right of the initial point.The inequality sign "≤" defines "less than or equal to"The inequality sign "≥" defines "greater than or equal to"The inequality sign "<" defines "greater than"The inequality sign ">" defines "less than"We can observe that:
In the inequality, we can see that the initial point of the inequality is colored. Therefore, the possible inequality signs for the inequality shown on graph are ≤ or ≥. Let us start setting our inequality.
⇒ _ ≤ or ≥ _We can see that the inequality line shown on the graph, goes to the left. Therefore, the line shown on the graph defines that the initial point is greater than the numbers on the left of the number line.
⇒ _ ≥ _Since "1" is the initial point and is greater than or equal to the numbers on the inequality, we can put "1" on the L.H.S of the inequality. Now,
⇒ 1 ≥ _[Optional] Write the numbers, that are less than 1, on the R.H.S of the inequality. Then, we get the following inequality:
⇒ 1 ≥ 0, -2, -4, -6...[Optional] Include "1" in the series as ≤ means greater than or equal to.
⇒ 1 ≥ 1, 0, -2, -4, -6...Let us assume that the numbers less than and equal to 1, be known as z.
⇒ 1 ≥ 1, 0, -2, -4, -6...⇒ 1 ≥ zTherefore, the inequality that represents the graph is z ≤ 1.
Learn more about inequalities: https://brainly.com/question/26107931
Use a table to compute the product below. (x2 + x + 9)(x - 6) A. x3 - 5x2 + 3x - 54 B. x3 - 5x2 - 3x - 54 C. x3 - 6x2 + 3x - 54 D. x3 - 7x2 + 3x - 54
The measure of an obtuse angle is represented by the expression 2x + 5. What is a possible value for x?
90 < obtuse < 180
answer choices
87.6
42.3
75.4
35.2
Which property is illustrated by the following equation?
- 8 ( - 5 + 3 ) = - 8 ( - 5 ) + ( - 8 )(3)
Suppose that there are eight corporations competing for nine different contracts. If the contracts are awarded randomly, what is the probability that each corporation will get at least one contract?
To find the probability that each corporation will get at least one contract out of eight corporations competing for nine different contracts, we can use the concept of permutations and the principle of inclusion-exclusion.
Explanation:To find the probability that each corporation will get at least one contract, we can use the concept of permutations. Since there are 8 corporations and 9 contracts, we can calculate the total number of ways to assign the contracts to the corporations without any restrictions, which is 9! (9 factorial).
Next, we need to find the number of ways that each corporation gets at least one contract. This can be calculated using the principle of inclusion-exclusion. We subtract the number of ways that at least one corporation doesn't get a contract from the total number of permutations.
The number of ways that at least one corporation doesn't get a contract can be calculated by assigning 9 contracts to 7 corporations, which is 7! (7 factorial).
Finally, we can calculate the probability by dividing the number of ways that each corporation gets at least one contract by the total number of permutations:
Probability = (9! - 7!) / 9!
How to add 3.4 plus 40
"what is the value of the digit in the ten thousands place for this number"
If jay ran 1 mile in 5 minutes on monday, 2 miles in 10 minutes on tuesday, and 3 miles in 15 minutes on wednesday, how many miles do you think he might run in 20 minutes on thursday?
Answer:
Jay might run 4 miles in 20 minutes
Step-by-step explanation:
If Jay ran on Monday = 1 mile in 5 minutes
On Tuesday = 2 miles in 10 minutes
On Wednesday = 3 miles in 15 minutes
Jay is increasing his time by 5 minutes per day and distance 1 mile per day.
So the next day Jay might run 1 mile + previous day distance in 5 minutes + time of the previous day.
Therefore, Jay might run 4 miles in 20 minutes
After eating dinner at the local diner, your bill is $14.25. if you tip 10%, how much money will you leave the waiter?
Answer:
Money leave for the waiter is $ 1.43 .
Step-by-step explanation:
As given
After eating dinner at the local diner, your bill is $14.25.
if you tip 10% .
10% is written in the decimal form .
[tex]= \frac{10}{100}[/tex]
= 0.10
Money leave for the waiter = 0.10 × Dinner cost .
Put all the values in the above
Money leave for the waiter = 0.10 × $14.25
Money leave for the waiter = $ 1.43 (Approx)
Therefore money leave for the waiter is $ 1.43 .
Determine which value is a solution to the open sentence. 3 + 6x = 21
a. 3
b. 18
c. 12
d. 4
Which of the following demonstrates the commutative property across multiplication for 2 × 10 × 7
Answer:
2 × 10 × 7 = 7 × 10 × 2.
Step-by-step explanation:
Given : 2 × 10 × 7
To find : Which of the following demonstrates the commutative property across multiplication.
Solution : We have given 2 × 10 × 7
By the commutative multiplication property : a × b × c = c× b × a.
Example : 1 * 3 * 5 = 5 *3 *1
15 = 15.
So, 2 × 10 × 7 = 7 × 10 × 2.
140 = 140
Therefore, 2 × 10 × 7 = 7 × 10 × 2.
A company make concrete bricks shaped like rectangular prisms.
solve for p −160=22+8(3p−4)
(27p6)5/3 in simplify form.
6 and 5/3 are exponents.
Choose all the sets containing the number Pi:
natural numbers
whole numbers
integers
rational numbers
irrational numbers
real numbers
Answer:
The set containing Pi is:
Irrational numbers.Real numbers.Step-by-step explanation:
We have to classify the number "pi" or π.
We know that:
Pi is the ratio of a circumference of a circle to it's diameter.
Pi is an irrational number i.e. it could not be represented in the form of p/q where p is an integer and q is a natural number.
However we sometimes take pi to be 22/7 ; but it's not exactly the same it's just a close approximation.
Hence, we may classify Pi as:
Irrational number.
Also irrational number comes in the category of real numbers.
Hence, Pi is also a real number.
( As real numbers are divided into two category:
1. Rational number
2. Irrational number
Also Rational number contains whole numbers, integers and whole numbers)
Using the number sets, the correct options are:
irrational numbers real numbers-------------------------------------
Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...} Integer numbers: Number without decimals, that can be positive of negative, so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339. Real numbers: Rational plus irrational.-------------------------------------
The number [tex]\pi = 3.1415...[/tex] is a decimal number without repetition, that is, it has infinite decimal places, thus it is irrational.Irrational numbers are also real.Thus, the correct options are irrational and real.A similar problem is given at https://brainly.com/question/10814303