[tex] {x}^{2} + {y}^{2} - 10x - 6y + 18 = 0[/tex]
Answer:
[tex](x-5)^2 + (y-3)^2= 16[/tex] is the equation of a circle
Step-by-step explanation:
The circle below is centered at the point (5,3) and has a radius of length 4
To find the center form of equation, we use formula
[tex](x-h)^2 + (y-k)^2= r^2[/tex]
where (h,k) is the center and 'r' is the radius of the circle
given center is (5,3)
h=5 and k =3
radius r= 4, plug in all the values in the equation
[tex](x-h)^2 + (y-k)^2= r^2[/tex]
[tex](x-5)^2 + (y-3)^2= 4^2[/tex]
[tex](x-5)^2 + (y-3)^2= 16[/tex] is the equation of a circle
Which expression is equivalent to (-3y-x)-(5y-8x)
A.-8y-8x
B.-8y+7x
C.2y-7x
D.8y+8x
Multiply the negative sign into the second bracket and get rid of both brackets
-3y-x-5y+8x
Collect like terms
-8y+7x
Answer:
B: -8y + 7x
Step-by-step explanation:
Start with (-3y-x)-(5y-8x). This is a subtraction problem. Subtract 5y from -3y, obtaining -8y. Next, subtract -8x from -x; this is equivalent to -x - (-8x), or 7x.
Then the difference -x + 8x = 7x.
Combining the x and y results, we get B: -8y + 7x.
The total cost of a dress,including tax, was $121.37. If 6% tax was added to the sale price, what was the sale price before taxes?
Answer:
We have
sale price + 6% x sale price = $121.37;
Then
(106/100) x sale price = $121.37;
sale price = $121.37 x 100 / 106;
sale price = $12137 / 106;
sale price = $114.50;
Step-by-step explanation:
To find the sale price of a dress before a 6% tax added up to a total of $121.37, divide the total by 1.06. The original sale price was $114.50.
The student is asking how to calculate the sale price of a dress before tax when the total cost, including a 6% tax, was $121.37. To find the sale price before taxes, you need to divide the total cost by 1 plus the tax rate expressed as a decimal.
First, convert the percentage to a decimal, which gives us 0.06 for a 6% tax. Then, add 1 to the tax rate (1 + 0.06 = 1.06) and divide the total cost by this sum to get the original price:
Sale price = Total cost / (1 + Tax rate)
Sale price = $121.37 / 1.06
Sale price = $114.50 (rounded to the nearest penny)
Therefore, the original sale price of the dress was $114.50.
Find the unknown: 4:2:3 = x : 18: 27
Final answer:
To find the unknown values in the given ratios, solve for x by setting up proportions and using cross-multiplication to calculate the missing value.
Explanation:
Find the unknown: 4:2:3 = x : 18: 27
Calculate the ratio of the known values: 4/2 = 2, and 3/2 = 1.5.Set up the proportion: 2 = x/18 and 1.5 = x/27.Solve for x by cross-multiplication: x = 36 for the first ratio and x = 40.5 for the second ratio.Which function results after applying the sequence of transformations to
f(x) = x^5?
• stretch vertically by 3
• translate up 1 unit
• translate left 2 units
Answer:
The resulting function after the sequence of transformations is [tex]f(x)=3(x+2)^5+1[/tex]
Step-by-step explanation:
Given a function f(x)
the function a*f(x) will be a vertical stretch of factor a, given a > 1 the function f(x) + b will be the translated function vertically up b unitsthe function f(x+c) will be horizontally translated function of the original by c units leftRemembering these points, we can apply the rules to [tex]x^5[/tex].
Strech vertically by 3 would be [tex]3x^5[/tex]translate up 1 unit would be [tex]3x^{5}+1[/tex]translate left 2 units would make it [tex]3(x+2)^5+1[/tex]Hence the new function would be [tex]3(x+2)^5+1[/tex]
Answer:
f(x) = 3(x+2)⁵+1
Step-by-step explanation:
Ap3x
when is a sequence geometric
I also think its A cause you find the next term when your multiply the constant (common ratio) so it makes sense for it to be A
Answer:
when each term is multipled by the same number to get the next numberStep-by-step explanation:
[tex]\text{A geometric sequence:}\\\\a_1,\ a_2,\ a_3,\ a_4,\ ....\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=r=constant\\\\r-\text{common ratio}\\\\a_2=a_1r\\a_3=a_2r\\a_4=a_3r\\\vdots\\a_n=a_{n-1}r\\\\\text{next term is created from the previous one by multiplying it}\\\text{by the same number}[/tex]
PLEASE HELP DETAILS ARE BELOW I WILL RATE BRAINIEST CHORD AND ARCS FIND THE MEASURE OF ARC CD DETAILS BELOW
Wouldn’t it be 36.7 because that’s the arch am I right?
Answer:
The measure of arc CD is 114.6°.
Step-by-step explanation:
Let the center of the circle be O and OP is perpendicular to CD at point point P.
The perpendicular line from the center of circle divide each chord in two equal parts. so, CP=DP.
[tex]CP=\frac{CD}{2}=\frac{36.7}{2}=18.35[/tex]
In a right angles triangle,
[tex]\sin\theta =\frac{opposite}{hypotenuse}[/tex]
In a right angles triangle OPC,
[tex]\sin\angle POC =\frac{18.35}{21.8}[/tex]
[tex]\angle POC =\sin^{-1} (\frac{18.35}{21.8})[/tex]
[tex]\angle POC \approx 57.3[/tex]
In triangle OPC and OPD,
[tex]OC=OD[/tex] (Radius)
[tex]OP=OP[/tex] (Reflexive property)
[tex]CP=DP[/tex] (Altitude on chord from center)
By SSS postulate
[tex]\triangle OPC\cong \triangle OPD[/tex]
[tex]\angle POC\cong \angle POD[/tex] (CPCTC)
[tex]\angle POC=\angle POD[/tex]
The measure of angle COD is
[tex]\angle COD=\angle POC+\angle POD[/tex]
[tex]\angle COD=2\angle POC[/tex]
[tex]\angle COD=2(57.3)[/tex]
[tex]\angle COD=114.6[/tex]
Therefore the measure of arc CD is 114.6°.
What is the classification for this polynomial 4uv2w2
Answer:
The polynomial 4uv²w² is a monomial, since its a single term.
Degree of polynomial: it is sum of exponent of its variables.
power of u = 1, power of v = 2, power of w = 2
Degree of polynomial: 5
Jack made $200 for working 40 hours. Saida made $242 for 44 hours of work. Are the pay rates proportional?
Answer:
No.
Step-by-step explanation:
If they are proportional, they equal each other.
We can use a proportion.
200/40 = 242/44
Simplify.
5 = 5.5
So they are not proportional.
A piece of machinery valued at $250,000 depreciates at 12% per year by the fixed rate method. After how many years will the value have depreciated to 100,000
Answer:
6.7 years (approx)
Step-by-step explanation:
The ____ identity is 1.
a) additive
b) multiplicative
c) distributive
I think it’s B) multiplicative
From 11:50 a.m. to 12:40 p.m. is
If you’re wondering the minutes in between it would be 50 minutes from 11:50am to 12:40pm
Julia decides to ride her bicycle around the track five times each day
Which best describes how far Julia will ride her bicycle around the track each day?
Plz help me
Answer:
B - Between 1 mle and 1.5 miles
Step-by-step explanation:
One lap around the track is .25 of a mile
Multipy times 5 and you get 1.25 miles
Answer:
b
Step-by-step explanation:
because thatch between anything
A bookshop has a sale.
A book normally costing $39.95 is priced at $23.97.
By what percentage has the price been reduced?
please show working out
Answer:
The price been reduced by a percentage of 40%
Step-by-step explanation:
we know that
$39.95 -----> represent the 100%
so
The difference of prices is equal to ($39.95-$23.97)=$15.98
Using proportion
Find the percentage of the difference
100/39.95=x/15.98
x=100*15.98/39.95
x=40%
Answer:
40% is the percentage decreased.
Hope it helped!
Thanks.
What is the value of x?
Answer:
x = 30 degrees
A piece wise function is graphed below. Fill in all of the blanks to give an algebraic description of the function
Answer:
P - 4
Step-by-step explanation:
there are 12 collectors donating a total of 48 paintings.
48/12=4
each collector will donate 4 paintings.
Sergio has (p) paintings now, so after he donates 4 paintings, he will have p-4 paintings in his art collection.
Sergio will have p-4 paintings in his art collection after his donation
Lines XU and WY intersect at point A.
Based on the diagram, determine, determine whether the statement is True or False.
The angle vertical to YAU measures 50°
(A.) True
(B.) False
The answer is A. True
Jackie is selling smoothies at a school fair. She starts the day with $15 in her cash box to provide change to her customers. If each smoothie costs $3.75, which graph represents the balance of the cash box, y, after Jackie sells x smoothies?
the answer would be D
Answer with Step-by-step explanation:
Jackie is selling smoothies at a school fair. She starts the day with $15 in her cash box to provide change to her customers.
Each smoothie costs $3.75, then cost of x smoothies is: $3.75x
Then, y=3.75x+15
When x=0 y=15
when x=4 y=3.75×4+15
i.e. y=30
The only graph which satisfies y=0 at x=0 and y=30 at x=4 is D.
Hence, the correct graph is:
D.
AN
Jamal has 10 sets of collectible coins. Each set has 5 coins. How many collectible coins does Jamal have?
5
10
50
100
Answer:50
Step-by-step explanation:each of the 10 sets have 5 coins basically (10*5) = 50
50
10sets*5coins=50total coins
The truck lot has 274 eighteen wheelers and 89 regular trucks. How many wheels are in the parking lot?
Put a equation please c: thank you
Answer=5288
Step-by-step explanation: I got it know so basically (18*274) + (89*4) which equals 4932+356=5288
Answer:
5288 wheels
Step-by-step explanation:
Wheel count: 18(274) + 89(4) (since regular trucks have 4 wheels)
This comes to 4932 + 356, or 5288 wheels in the lot.
ILL GIVE BRANLIEST!!!
What value of g makes the equation true? (X+7)(x-4)=x^2+gc-28
Answer:
The left side is not equal to the right side, which means that the given statement is false.
False
Step-by-step explanation:
Answer: g= 3x/c
Not sure if this helps
Which statement is true?
is not a logarithmic function because the base is greater than 0.
is not a logarithmic function because the base is a square root.
is not a logarithmic function because the base is equal to 1.
is not a logarithmic function because the base is a fraction.
3 is correct , base is never equal to 1 cause all of solves of logarithm will be 0
Answer with explanation:
Consider a Logarithmic Function
[tex]y=\log_{a} b\\\\y=\frac{\log b}{\log a}\\\\ \text{if, a=1,then}\\\\y=\frac{\log b}{\log 1}\\\\y=\frac{\log b}{0}[/tex]
which is not defined.
Also,⇒ a∈(0,∞)≠1.
b> 0, that is, b∈(0,∞)
Option C:
is not a logarithmic function because the base is equal to 1.
Find the slope intercept form of the equation for the line that goes through (3, 5) and is parallel to y=5x - 1.
Answer:
y=5x-10
Step-by-step explanation:
slope intercept form is y=mx+b
since we know it is parallel to y=5x-1, we know that it has the same slope of 5.
So, we plug it in:
y=mx+b
y=5
x=3
(taken from point (3,5))
m=5
(taken from parallel line)
5=(5)(3)+b
5=15+b
b=-10
The equation would be y=5x-10
Which matrix is equal to... (picture added)
Answer:
D [tex]\left[\begin{array}{ccc}-6&-6.5&1.7\\-2&-8.5&19.3\end{array}\right][/tex]
Step-by-step explanation:
Two matrices are equal when they
have the same sizes (so options A and B are false)have equal corresponding elements (so option C is false, because -6≠6, -6.5≠6.5, 1.7≠-1.7 and so on)If in option D the second row is 2 -8.5 19.3 , then these matrix is equal to the given.
Answer:
Its D on edge
Step-by-step explanation:
Match the expression with its
name.
9x^4-3x+4
A. Quadratic monomial
B. Not a polynomial
C. Cubic binomial
D. Fourth-degree trinomial
Answer:
D. Fourth-degree trinomial
Step-by-step explanation:
I think this would be the correct answer because the highest degree the polynomial is raised to would be 4 (hence the fourth degree). It would be a trinomial because of 9x^4, 3x, and 4
The ratio of roses to daisies is 8 roses to 6 daisies.
If there are 16 roses, how many daisies are there?
12 Roses since your multiplying by 2
Answer:12
Step-by-step explanation: there are 8 roses and 6 daisies, if 8 turns into 16, that’s multiplied by 2, so you multiply 6 by 2 and get 12,
8 * 6
_ * _
16*X, cross multiply
Simplify.
2
(8w)
Write your answer without parentheses.
Answer: I believe the answer would be 64w2.
Step-by-step explanation: 8 squared is 8 x 8, which equals 64, and then w squared is just w2, since we don't know what it is. Put them together, and the answer is 64w2.
Hi There!
--------------------------------------
Answer:
64w²
Step-by-step explanation:
= (8w)²
= 8w × 8w
= 64w²
--------------------------------------
Hope This Helps :)
Mr Johnson, the store owner, ordered 48 boxes of jawbreakers. Each box contained 392 pieces of candy. How many lawbreakers did Mr. Johnson order?
Answer:
Mr. Johnson would have ordered 18816 jaw breakers.
Step-by-step explanation:
Multiply 392 by 48
Mr. Johnson ordered a total of 18816 jawbreakers by multiplying the number of boxes (48) by the number of pieces of candy per box (392).
The question involves calculating the total number of jawbreakers Mr. Johnson ordered. To do this, we need to multiply the number of boxes ordered by the number of pieces of candy per box.
Step-by-step calculation:
Identify the number of boxes ordered: 48 boxes.
Identify the number of candies per box: 392 pieces.
Multiply the number of boxes by the number of candies per box to find the total: 48 boxes × 392 pieces/box = 18816 jawbreakers.
Therefore, Mr. Johnson ordered a total of 18816 jawbreakers.
Find the similarity ratio of the larger triangle to the smaller one.
Answer:
A
Step-by-step explanation:
The base of the larger triangle is twice as large as the smaller one: 6 v 3 --> 6 : 3 --> 2 : 1.
what is 2/5 of 255???
Answer:
102
Step-by-step explanation:
Answer:
102.
Step-by-step explanation:
First, divide 255 by 5 (255÷5=51).
Then multiply the result of 255÷5 by 2 (51×2)
And 51×2=102
Based on the graph how many real nunber solutions does x^3+6x^2+8=0 have ?
Answer:
ONE
Step-by-step explanation:
ONE real number solution. The graph intersects the x-axis in only one place.