Answer:
To complete the square for the x terms, add 4 to both sides.To convert the given equation of the circle to standard form we should do as follows.
1. Add 36 to both sides of the equation.\(x^{2} +y^{2}+4x-6y-36+36=36\\ x^{2} +y^{2}+4x-6y=36\)
2. We order the terms according to their variables.\(x^{2} +4x +y^{2}-6y=36\)
3. Divide the linear term by 2, then elevate it to the square power.\(x^{2} +4x + (\frac{4}{2} )^{2} +y^{2} -6y+(\frac{6}{2} )^{2} =36\)
4. Solve operations, and add the same units to the other side of the equation.\(x^{2} +4x+4+y^{2} -6y+9=36+4+9\\\)
5. Now, we sum costant terms, and factor both trinomials.\((x+2)^{2} +(y-3)^{2} =49\)
As you can observe, the circle has center at (-2,3) and it has a radius of 7 units.
Notice that the second choice is correct, because we added 4 units to both sides to complete the square for the x terms.
Solve for x, given that the area is 120.
**Show work please(step by step)**
Answer:
x=20
Step-by-step explanation:
please help!
Try to solve the equation below.
2x^2+18=10
Explain why this equation has no real number solutions.
Answer:
Step-by-step explanation:
The discriminant of this equation, i.e, D=\(b^{2}-4ac\) is less than 0:
D= 0-(4*2*18) --> which is clearly negative
When D is less than 0, the equation has no real number solutions.
Therefore, \(2x^{2}+18=0\) has no real roots
Answer:
Step-by-step explanation:
0 has no roots so thats one, and im just trying to complete a challenge so sorry if im wrong :( but make other person brainliest they did good job :)
Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
Pls find the answer winter break is almost ending
90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you...
The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
Learn more about constant of Proportionality here:
https://brainly.com/question/29126727
#SPJ2
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
Learn more about functions at: https://brainly.com/question/25638609
#SPJ1
The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
https://brainly.com/question/30721594
Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?
A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft
Answer:
D
Step-by-step explanation:
just multiply the three over four inches with seven and a half to get the accurate measurements
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6100 and his stock in Company B was worth $6480. The stock in Company A has decreased 2% since last year and the stock in Company B has decreased 10%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Investment in Company A by investor = $6100
Investment in Company B by investor = $6480
The decrease in value of the stock of company A is 2%
The decrease in value of the stock of company B is 10%
Value of wealth that investor lost in company A = 6100× 2/100
= 61×2
= $122
The decline in the value of the stock of company B = 6480×10/100
= 648×1/1
= $648
The total decline in the wealth of the investor= 122+648
= $770
The combined wealth of investor in both companies= 6100+6480
= $12580
Percentage of decline in the stock account of investor= 770×100/12580
= 77000/12580
= 6.1%
The total percentage decline in investor's stock account is 6.1%
For more information about stock:
brainly.com/question/28392293
Starting at sea level, a kingfisher flew to an elevation of 3714 feet. Spotting a fish below, the bird descended 4156 feet and caught the fish.What was the elevation of the fish?
Answer:
-442 feet
Step-by-step explanation:
3714 -4156 = -442
The elevation of the fish was -442 feet, using the given numbers.
_____
Unfortunately, the bird died of the bends while surfacing from that depth.
Answer:
Step-by-step explanation:
a) 37.25 - 251/6
b) -27.5/6 feet, that is below sea level
factor the expression: -7a - 14b - 28
Answer:
-7 (a + 2b + 4)
Step-by-step explanation: hope this helps!
Answer: the answers is -7 ( a + 2b + 4 )
Step-by-step explanation:
-7a - 14b - 28
you rewrite -28 as 4 * 7
you rewrite -14 as 2 * 7
-7a + 2 * 7b + 4 * 7
- & (a + 2b + 4)
question : ill mark brainlist
3. The ______ projection shows the size and shape of continents accurately but distorts water areas.
A. Conic
B. Mercator
C. Robinson
D. Interrupted
The correct answer is A. Conic projection.
A conic projection is a type of map projection created by projecting the surface of a globe onto a cone. The cone is then unrolled and flattened to create a two-dimensional map. Conic projections are best for mapping small areas, such as individual countries or states. They are also good for mapping areas that are located near the equator.
Conic projections show the size and shape of continents accurately, but they distort water areas. This is because the cone is tangent to the globe at one point, and the further away from that point you get, the more distortion there is.
Mercator projection is a cylindrical map projection presented by Flemish geographer and cartographer Gerardus Mercator in 1569. It became the standard map projection for navigation because it is unique in representing north as up and south as down everywhere while preserving local directions and shapes. The map is thereby conformal. As a side effect, the Mercator projection inflates the size of objects away from the equator. This inflation is very small near the equator but accelerates with increasing latitude to become infinite at the poles.
Robinson projection is a map projection presented by American cartographer Arthur H. Robinson in 1963. It is a compromise projection that attempts to balance the distortions of area, shape, and distance. The Robinson projection is neither conformal nor equal-area, but it is pseudocylindrical, which means that the meridians are straight lines and the parallels are circles.
Interrupted projection is a type of map projection that is interrupted at regular intervals. This is done to reduce the distortion of the map. The most common type of interrupted projection is the Mercator projection, which is interrupted at the equator and the prime meridian
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Hello! I just have a simple math equation lol
Please put yout answer in a mixed number =)
If x is 6, then 7x =
Answer:42
Step-by-step explanation:
if x=6 u change the x with 6 then the equation would be 7x6= 42
A piece of cheese is shaped like a triangle. It has a height of 2.5 inches and a base that is 3.75 inches long.
If 1 inch = 2.54 centimeters, find the area of the cheese in square centimeters. Round the answer to the nearest square centimeter.
Write this number in scientific notation.
Thank you!
Answer:To write the number 0.0000149 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
First, we move the decimal point to the right until there is only one non-zero digit to the left of the decimal point, which gives us:
1.49 × 10^-5
Since we moved the decimal point 5 places to the right, the exponent of 10 is negative 5.
Therefore, the scientific notation of 0.0000149 is 1.49 × 10^-5.
Step-by-step explanation:
Answer:
1.49×10^-5
Step-by-step explanation:
0.0000149=1.49×10^-5
it's to the power of -5 because it's a decimal number not a whole number
A hat at the store is being offered at a 15% discount. If the original price of the hat is x, which answer choice shows an expression that represents the discounted price of the hat?
The discounted price of the hat is 0.85x.
What is discounted price?Discount is the difference between the marked price (list price) and the selling price of an article. Therefore, the formula used for discount calculation is: Discount = List price - selling price.
Given that, a hat is at 15% discount price, we need to find the expression that represents the discounted price of the hat,
The discount = x - SP
15% of x = x - SP
SP = 85% of x
SP = 0.85x
Hence, the discounted price of the hat is 0.85x.
Learn more about discounted price click;
https://brainly.com/question/19867145
#SPJ2
I NEED THIS RIGHT NOW
Answer:
x - y
Step-by-step explanation:
if x is greater than y subtraction will be the result with a positive number.
ANSWER PLEASE BEFORE 2/14!!!!
Tamara likes to go hiking and tries to hike for at least 30 minutes every week. On Tuesday, she hiked for 1 mile in the morning and 3 miles in the evening. On Thursday, she hiked with a friend for 4 miles. On Saturday she hiked for 5 miles. On Sunday, she hiked for 4 miles. She also hiked for an extra 10 minutes on Sunday night. If she hiked for a total of 350 minutes all week and it takes her the same amount of time to hike each mile, how many minutes does it take her to hike each mile?
Answer:
20 minutes
Step-by-step explanation:
1+3+4+5+4=17
350-10=340
340÷17=20
What operation can you use to solve the equation?
A. addition
B. division
C. subtraction
D. multiplication
Answer:
C
Step-by-step explanation:
24+m=56
You would want to subtract 24 from 56 to get the answer to m
24+m=56
-24 -24
m=32
please help me on this :DD
Answer:
parallelogram
Step-by-step explanation:
As you can see in the pic the shape is a parallelogram.
:)
i need help with this question please help me
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
Help please asap!!!
please:(
Can someone pls help me with this first right answer gets brainlist
What is the y-intercept of the following equation? y = 3x - 1
Answer:
-1
Step-by-step explanation:
Because in this equation the -1 doesn't have any variables (x,g,etc.) it makes it the y intercept, therefore your y intercept is y= -1
Answer:
(0, -1)
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 3x - 1
Step 2: Break Function
Identify Parts.
Slope m = 3
y-intercept b = -1
The price of a pair of slacks is 29 dollars. What is the price after a 30% discount
Answer:
The pair of slacks would be
C. $20.30
Step-by-step explanation:
("._.) ................................................. >(-.-)>
Answer: C
Step-by-step explanation:
Type the integer that makes the following addition sentence true:
___ + -27 = –79
Answer:
-105
Step-by-step explanation:
Answer: -52
Step-by-step explanation:
-50 + -20 = -70, -0 + -9 = -9, -70 + -9 = -79
I suck at math so be nice n help:)
Answer: See explanation
Step-by-step explanation:
1. ∠WOV and m∠30° are complementary angles so they should add up to 90°
∠WOV + 30 = 90
Subtract 30 from both sides
∠WOV = 60°
I used the relationship of complementary angles.
2. ∠YOZ and ∠WOV are vertical angles so they're congruent.
∠YOZ ≅ ∠WOV
∠YOZ ≅ 60°
∠YOZ = 60°
I used the relationship of vertical angles.
I hope this helped!
Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV.
The survey showed the following frequencies:
Men—playing sports: 11; dancing: 3; watching movies/TV: 6
Women—playing sports: 5; dancing: 16; watching movies/TV: 9
Which of the following is a correct two-way frequency table for the data?
Men and Women Leisure Time Activity Preferences
Playing Sports Dancing Watching movies/TV Row totals
Men 0.22 0.06 0.12 0.12
Women 0.10 0.32 0.18 0.60
Column totals 0.32 0.38 0.30 1
Men and Women Leisure Time Activity Preferences
Playing Sports Dancing Watching movies/TV Row totals
Men 11 3 6 20
Women 5 16 9 30
Column totals 16 19 15 50
Men and Women Leisure Time Activity Preferences
Playing Sports Dancing Watching movies/TV Row totals
Men 0.55 0.15 0.30 1
Women 0.17 0.53 0.30 1
Column totals 0.32 0.38 0.30 1
Men and Women Leisure Time Activity Preferences
Playing Sports Dancing Watching movies/TV Row totals
Men 0.69 0.16 0.40 0.40
Women 0.31 0.84 0.60 0.60
Column totals 1 1 1 1
Answer:
Hello how are you the answer is b
can u help me pls and ty a lott :)
Answer: The table on the left is s direct variation. The equation is y = x/2
The table on the right is indirect.
Step-by-step explanation:
See if the output y changes by the same amount for each x-value. The equation describes the amount of change for the values you see and predicts the ones you can't see.
Please help me with acellus