Answer:
x² + (y – 3)² = 36
and
x²+ (y + 8)²= 36
Step-by-step explanation:
The equation of circle that has a center (a, b) is given by the formula
(x - a)² + (x - b)² = r²
where r is the radius of the circle
If the circle lies on the y axis, its x-coordinate must be 0.
The radius of the circle = 1/2 x diameter = 1/2 x 12 = 6 units
So the equation must be of the form
(x - 0)² + (y - b)² = 36
We can eliminate x² + (y – 5)² = 6
We can also eliminate (x + 6)² + y² = 144
That leaves us with the two possible equations
x² + (y – 3)² = 36 (center at 0, 3)
and
x²+ (y + 8)²= 36 (center at (0, -8) )
HELP NOW PLS In 5-7 complete sentences, write a real-world situation that can be modeled by the equation. Make it fun by using your name, if you want!
16x=14x+8
Answer:
Step-by-step explanation:
Kate needs to read 2 books over summer vacation. She doesn't have the books yet so she's not sure how many pages are in each book. Kate doesn't want to wait until the last minute to read the books so she is planning to read the same number of pages each day of her summer vacation. If Kate's summer vacation is 72 days long, how can she write a variable expression to represent the number of pages she will need to read each day?
Let U= {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C= {v, w, x, y, z}
Determine the following.
11) CnA =
Answer:
CnA= {w, y}
Step-by-step explanation:
hope it helps
The side lengths of a triangle are 4 inches, 6 inches, and 9 inches. Is this triangle a right triangle?
Answer:
No
Step-by-step explanation:
A right triangle needs to have a right angle in this case this triangle does not. The next answer up is a triangle with 6,8, and 10 inches. This would give you a right triangle.
Also, To check if the sides are a right triangle, check if the sum of the squares of the two smaller sides equals the length of the square of the longest side.
I haven't used triangles in a long time..... so I kinda forget but the little I remember I used. Hope this helps!
Answer: No
Step-by-step explanation: The given side lengths of the triangle are 4 inches, 6 inches, and 9 inches. To determine if the triangle is a right triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's check if the given side lengths satisfy the Pythagorean theorem:
Using the Pythagorean theorem, we can calculate the squares of the side lengths:
4^2 = 16
6^2 = 36
9^2 = 81
Now, let's compare the sum of the squares of the two shorter sides to the square of the longest side:
16 + 36 = 52
81 = 81
Since 52 is not equal to 81, the given triangle is not a right triangle.
100+ pts if correct math proofs
Using the two column proof, it has been proved that m∠2 ≅ m∠3
How to use two column proof?
From the given diagram, we can write the two column proof as follows;
Statement 1: m∠DHF = m∠EHG
Reason 1; Given
Statement 2; m∠2 + m∠1 = m∠DHF
Reason 2; Angle Addition Property
Statement 3; m∠1 + m∠3 = m∠GHE
Reason 3; Angle Addition Property
Statement 4; m∠2 ≅ m∠3
Reason 4; Definition of congruent angles
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help 50 points! Which table represents y as a function of x?
The first table represents y as a function of x.
How do We Determine a Table that Represents a Function?If a table represents a function, each of the x-values will have only one possible y-value that corresponds to it, however, two different x-values can have the same y-value.
All the tables, except the first table, have x-values that have more than one y-value assigned to it.
The first table have exactly one y-value that corresponds to each of the x-values. Therefore, the first table represents y as a function of x.
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Work out the input that makes the output of A three times the output of B
The input that makes the output of A to be three times the output of B is; x = 9
How to Solve Algebraic Word Problems?We are told that both Machines A and B have the same input. Thus;
Output of Machine A using Algebraic Properties is;
Output A = 5x - 4
Output of Machine B using Algebraic Properties is;
Output B = 3x + 8
We want to find the input that makes the output of A to be three times the output of B. Thus;
5x - 4 = 3(3x + 8)
5x - 4 = 9x + 24
9x - 5x = -4 - 24
4x = -28
x = -28/4
x = 9
Thus, we conclude that the input that makes the output of A to be three times the output of B is; x = 9
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A father is three times as old as his son. After 4 years, his age will be 4 times his son's age. Find their present ages.
Simplify the expression below.
(4+7i)-(3-2i)
Answer: 1+9i
Step-by-step explanation:
(4+7i)-(3-2i)=
4+7i-3-(-2i)=
4+7i-3+2i=
4-3+7I+2I=1+9i
Bill saves 1/8 of his income. If his income is $92, how much does he save?
Given that Bill saves 1/8 of his $92 income, the amount of money he saves is $11.5.
How much does Bill saves?Given that;
Bill saves 1/8 of his incomeBill's income is $92Amount saved by bill = ?Let the amount saved by be be represented by the variable x.
Hence,
1/8 of Bill's income = Amount saved
1/8 × $92 = x
Multiply the numerators
x = 1/8 × $92
x = $92/8
Divide 92 by 8
x = $11.5
Given that Bill saves 1/8 of his $92 income, the amount of money he saves is $11.5.
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Name the greatest place-value position where the digits differ. Name the greatest number. 95, 59
I need help solving for X. Please tell me the steps.
Answer:
No solution for x
Step-by-step explanation:
Subtract 7 from both sides
==> [tex]5\left|x+1\right|+7-7=-38-7[/tex]
==> [tex]5\left|x+1\right|=-45[/tex]
Divide both sides by 5
==> [tex]\frac{5\left|x+1\right|}{5}=\frac{-45}{5}[/tex]
==> [tex]\left|x+1\right|=-9[/tex]
But this is not possible since absolute value cannot be negative
Hence the equation is inconsistent and therefore there are no solutions for x
Answer:
No solution
Step-by-step explanation:
5|x+1| + 7 = -38
5|x+1| = -38 - 7
5|x+1| = -45
Divide both sides by -5
|x + 1| = -9
Because of how the modulus works, whatever is inside it, whether positive or negative, will become positive.
And since the left side is always positive and the right side is always negative, there is no value of x that can satisfy the equation.
Therefore there is no solution to this equation
The average score of local students on a college entrance exam is 110 with standard deviation of 15. The distribution is roughly bell-shaped. What is the percentage of local student with score between 80 and 125? Use the empirical rule to find the following percentage. 95% 88.5% 68.5% 81.5%
Answer:
the average score of local students on a collage entrance exam is 110
with standard deviation of 15. The distribution is roughly bell shaped . The percentage of local students with score between 0 and 125
Step-by-step explanation:
Answer:
Step-by-step explanation:
Study these equations:
f(x) = 2x – 8
g(x) = –5x
What is h(x) = f(x)g(x)?
h(x) = 10x2 – 40x
h(x) = –10x2 + 40x
h(x) = –10x + 40
h(x) = 10x – 40
The function composite h(x) = f(x)g(x) is -10x² + 40x.
Option b)-10x² + 40x is the correct answer.
What is the function composite h(x) = f(x)g(x)?Given the functions in the question;
f(x) = 2x - 8g(x) = -5xh(x) = f(x)g(x) = ?Since h(x) = f(x)g(x), replace the function designators in f(x)g(x) with the actual functions.
h(x) = f(x)g(x)
h(x) = ( 2x - 8 )( -5x )
Apply distributive property.
h(x) = ( 2x - 8 )( -5x )
h(x) = 2x(-5x) - 8(-5x)
Perform the operation to remove the parenthesis.
h(x) = -10x² + 40x
The function composite h(x) = f(x)g(x) is -10x² + 40x.
Option b)-10x² + 40x is the correct answer.
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Answer:
The answer is B
Step-by-step explanation:
<3
How many terms are there in the following sequence?
19, 21, 23, ..., 53
Answer: 10
Step-by-step explanation:
There are 16th term in sequence.
Find the letter that will be entry #123 in the sequence.
C,S,S,S,S,S,C,S,S,S,S,S
The letter at entry #123 will be S for the sequence C,S,S,S,S,S,C,S,S,S,S,S
The given sequence of letters is C,S,S,S,S,S,C,S,S,S,S,S
As per the given sequence, there are 12 letters in the sequence. To find the letter at #123 we continue the sequence till entry #120 or 10 iterations, the sequence will remain the same i.e C,S,S,S,S,S,C,S,S,S,S,S and then find the next 3 letters
So for entry #123, we will get the following value as per the sequence:
C,S,S
Hence, the letter at entry #123 will be S as per the given sequence of letters.
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What expression is equivalent to 1/64
Answer:
1 ÷ 64
Step-by-step explanation:
If the probability of rain is 2/5 what's the problem probability of no rain
If a triangle with angle AB 2x, BC 4x-10, and AC 3x-7, What is the lenght of line segment AC?
Answer:
Step-by-step explanation:
7 units long
Step-by-step explanation:
We are given a right triangle ABC
AB = 25 units
BC = 24 units
We are required to determine the length of AC
We are going to use the Pythagoras theorem;
According to the theorem, if a and b are the legs of a right triangle and c is the hypotenuse, then;
a² + b² = c²
In this case;
AB is the hypotenuse and BC is one of the legs of the triangle;
Therefore;
AB² = BC²+AC²
Rearranging the formula;
AC² = AB² - BC²
= 25² - 24²
= 625 - 576
= 49
AC = √49
Thus, AC is 7 units long
HOPE THIS HELPS :)
calculate double 3 then subtract 2
3x3=6
6-2=4.
Thats the answer!!! yayayayayayayayaya
eddie spends £2.75 on cake and £1 on groceries and has 2/3 left over how much did he start with
answer:
£11.25
explanation:
2.75+1=3.75 this was one third so you have to multiply 3.75 by 3 so you get 11.25.
Use the Venn diagram shown to answer the question below.
U
IV
II
VII
VI
B
III
VIII
Which regions represent set C?
The Venn diagram shown to IV, V, VI, VII regions are represent set C.
It is given that the wind diagram we need to find the regions represent the set.
See from the diagram it shows that the regions IV, V, VI, VII represent us, etc.
What do you mean by Venn diagram?A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things. Circles that overlap have a commonality while circles that do not overlap do not share those traits. Venn diagrams help to visually represent the similarities and differences between two concepts.
So from the Venn diagram, the set C represents the regions four, five, six and seven.
Therefore, she can be written us for Union Fight, Union Six, Union Seven. Therefore, we concluded that the regions represent see R. C.
Which is equal to for Union Fighting Union Six, Union Seven.
We have here, region represent C
C ⇒ Union from C
Here, IV, V, VI, VII these are lie on C.
So, IV, V, VI, VII represents C.
Therefore, the Venn diagram shown to regions represent set C is IV, V, VI, VII.
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7TH GRADE MATH PLESE HELP MEE ITS REALLY CONFUSING FOR ME PLS DO AS ASKED AND MARKING BRINLIST HELP ASAAAAPP!!!!!
Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Parallelogram with base of 14 feet, height of 12 feet, and triangle base of 3 feet.
Answer:
Are of the parallelogram = 168 square feet
Step-by-step explanation:
I am not sure exactly what the question is asking for since the area of a parallelogram is simply the base x height and both are given
Are = 14 x 12 = 168 square feet
I have attached a picture with the decomposition of the parallelogram into a rectangle and two triangles.
ABCD is the parallelogram with base = 14 and height = 12
ABE and CDF are the two triangles each with base = 3 and height = 12
EBFD is a rectangle
All the dimensions are marked
I hope that helps and if you need any further clarification, please do ask
Show that the number is rational by writing
it as a quotient of two integers: 22
our number can be written as 44/2 = 22, the quotient between two integers, thus, our number is rational.
How to show that a number is rational?
A number is rational if it can be written as the quotient between two integer numbers.
In this case, we want to prove that the number 22 is rational, so we just need to find two integers that, when we take the quotient between them, the outcome is 22.
This is kinda trivial, if we take for example the product between 22 and any integer, for example, 2, we get:
22*2 = 44
Solving for 22 we get:
22 = 44/2
There is our number written as the quotient between two integers, thus, our number is rational.
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Measurements are made at two different times. Find the absolute change and then find the percentage change. Round answers to the
nearest tenth if necessary.
The population of Placerville grew from 4360 a decade ago to 6590 today.
Select one:
a. Absolute change: 2230
Percentage change: 51.1%
b. Absolute change: -2230
Percentage change: 51.1%
c. Absolute change: 33.8%
Percentage change: 2230
d. Absolute change: 2230
Percentage change: 33.8%
Clear my choice
Answer:
A
Step-by-step explanation:
4360+(4360(0.511)) Equals 6590 when rounded up
The correct answer is Absolute change: 2230 and Percentage change: 51.1%. So, correct option is A.
To calculate the absolute change and percentage change, we need to subtract the initial measurement from the final measurement and then calculate the percentage change relative to the initial measurement.
Given that the population of Placerville grew from 4360 a decade ago to 6590 today, we can calculate the absolute change as follows:
Absolute change = Final measurement - Initial measurement
Absolute change = 6590 - 4360
Absolute change = 2230
Therefore, the absolute change in population is 2230.
To calculate the percentage change, we divide the absolute change by the initial measurement and multiply by 100:
Percentage change = (Absolute change / Initial measurement) * 100
Percentage change = (2230 / 4360) * 100
Percentage change ≈ 51.1%
Hence, the correct answer is:
a. Absolute change: 2230
Percentage change: 51.1%
Therefore, option a is the correct choice.
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The data represented by the following stem-and-leaf plot range from_____ to _______. A. 61;91 B.
Answer: well i do not know
Step-by-step explanation: of well
12. Let g(x) =ƒ (2x)
a) Find g(-2) and g(1).
b) Determine the slope of g(x) on the interval [0, 1].
c) Sketch a graph of g(x).
АУ
a. g(-2) = -4
g(-1) = 2
b. slope of g(x) on the interval = 2
Given,
a. g(x ) = f(2x)
g(-2) = 2(-2)
g(-2) = -4
g(1) = 2(1)
g(1) = 2
b. slope = g(b) -g(a)/b-a
g(0) = 2(0)
g(0)= 0
g(1) = 2(1)
g(1) = 2
therefore, g(1)-g(0)/1-0
slope = 2-0/1
slope = 2
hence we get the slope as 2.
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jada used '60' pepper slices to make '3' pizzas. how many does it take to make '6' of jada's pizzas?
Answer:
Step-by-step explanation: it takes 60 peppers to make 3 pizzas we need 6 pizzas so we just take 60 x 2= 120. So we need 120 peppers to make 6 pizzas.
Please help ASAP I only need help on B if it helps a is station x PLEASE help I will give all my points
Answer:
the second one will be 30 points ig
Answer:
il def try me best!
Step-by-step explanation:
station x would cost abt 40 and station y would cost 40 to 25!
Consider these graphed number lines. 4 number lines going from negative 5 to positive 5. Graph A: points are at 1 and 4. Everything between the points is shaded. Graph B: Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded. Graph C: Open circles are at 1 and 4. Everything between the points is shaded. Graph D: Open circles are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded. Which number line represents the solution for the inequality |2x – 5| Greater-than-or-equal-to 3? graph A graph B graph C graph D
The number line which represents the solution of the given absolute value inequality is |2x – 5| ≥ 3 is graph B : Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded.
What are absolute value inequalities?An absolute value inequality is an equation of the form |p| ≥ a or |p| ≤ a
where p and are mathematical expressions.
Absolute rule for solving inequality: if |p| ≥ a then solution is p ≤ (-a ) or
p ≥ a
Now for the given inequality |2x – 5| ≥ 3 , applying above absolute rule we get :
(2x-5) ≤ -3 and (2x-5) ≥ 3
For 2x-5 ≤ -3
Adding 5 on sides we get: 2x-5+5 ≤-3+5
2x ≤ 2
On dividing both sides by 2: (2x/2) ≤ (2/2)
x ≤ 1
which means that x are all number less than or equal to 1
On the number line, everything to left of 1 and point 1 on the number line
Now, For 2x-5 ≥ 3
Adding 5 on sides we get: 2x-5+5 ≥ 3+5
2x ≥ 8
On dividing both sides by 2: (2x/2) ≤ (8/2)
x ≥ 4
which means that x are all numbers greater than or equal to 4
On the number line, everything to right of 4 and point 4 on the number line
Therefore, Graph B is the right answer which says that points are at 1 and 4 ,everything to the left of 1 and to the right of 4 is shaded.
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$1,000 each month with .25% monthly simple interest for 1 year.
The compound interest is $2.5
What is Compound interest?
When you earn interest on both the money you've saved and the interest you earn, is called Compound interest.
Given that;
Principal amount = $1,000
Rate = .25%
Time = 1 year
Now, Amount = P (1 + r)^t
= 1,000 ( 1 + .25%)^1
= 1,002.5
And, Compound interest = P (1 + r)^t - P
Now, Amount = 1,000 ( 1 + .25%)^1
= 1,002.5
Hence, Compound interest = 1,002.5 - 1,000
= 2.5
So, The compound interest is $2.5.
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