1. Given (11,7) and (x,−5), find all x such that the distance between these two points is 13. Separate multiple answers with a comma.
2. Find the standard form of the equation for the circle with the following properties.
Center (8,−7/3) and tangent to the y-axis
Answers
9514 1404 393
Answer:
1. x = {6, 16}
2. (x -8)² +(y +7/3)² = 64
Step-by-step explanation:
1. The distance formula is useful for this.
d² = (x2 -x1)² +(y2 -y1)²
13² = (x -11)² +(-5 -7)² . . . . . . . . fill in the given point coordinates
169 -144 = (x -11)² = 25 . . . . . . subtract 144
x -11 = ±5 . . . . . . . . . . . . . . . . . take the square root
x = 11 ±5 = {6, 16} . . . . . . . . . . add 11
The values of x that make the points 13 units apart are 6, 16.
__
2. The standard form equation of a circle is ...
(x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r
In order for the circle to be tangent to the y-axis, the radius must be equal to the distance the center is from the y-axis: the x-coordinate of the center point. That is, r = 8.
(x -8)² +(y +7/3)² = 64
Related Questions
A farmer has 15 boxes of eggs
There are 6 eggs in each box.
Write, as a ratio, the number of eggs in three boxes to the total number of eggs.
Give your answer in its simplest form
Total
Answers
I need help with this question. Please & thank you!
Answers
B
dividing with the same numbers and different exponents is like subtracting the exponents
16-8 = 8
Urgent Help Please!!!
Answers
Answer:
the x = 50 degrees, just because the sum of the angles of the triangle = 180 degrees, then the ABD triangle = 50 + 78+52 = 180, also the line AC will have 180 degrees, so the sum 78 + 102 = 180, and the BCD triangle is 102+ 50+28 = 180 and the ABC triangle also is 50+102+28=180
Please help!! 30 POINTS
Show your work
NO RANDOM LINKS
Answers
Explanation:
1) x^3-5x^2+7x-12/x-4
2) x^3-4x-x^2+4x+3x-12/x-4
3) x^2x(x-4)-x*(x-4)+3(x-4)/x-4
4) x^2-x*3 because x-4 cancels each other out
9514 1404 393
Answer:
x^2 -x +3
Step-by-step explanation:
The long division is shown in the attachment, along with details of how the quotient terms are found.
[tex]\dfrac{x^3-5x^2+7x-12}{x-4}=\boxed{x^2-x+3}[/tex]
Write three expressions that are equivalent to 8x + 16.
Answers
Answer:
1. 2(4x + 8)
2. 8(x +2)
3. 4(2x +4)
Step-by-step explanation:
You can check by using the distributive property!
For instance:
2 (4x +8)
2 · 4x = 8x
2 · 8 = 16
= 8x + 16
8(x +2)
8 · x = 8x
8 · 2 =16
= 8x + 16
4(2x +4)
4 · 2x = 8x
4 · 4 =16
= 8x + 16
Hope this is helpful! Let me know if you have any more questions :D
A water tank holds 1500 liters of water when it is full. If 2/3
of the tank is full, how
much more liters of water are needed to make the tank full?
fraction word problem
Answers
Answer: 500
Step-by-step explanation: A third of 1,500 is 500, and 2/3 of 1,500 is 1,000. So, 1,500 - 1,000 = 500 liters. Therefore, in order to make the tank full, 500 liters of water are needed.
Nia answered 18 of the 40 questions on the common assessment correctly. What percent of the questions did she answer correctly? What are you looking for? Circle one: Part whole percent
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Answer:
Nia answerd 45% of the questions correctly.
Hopfuly someone will help me this time!
Answers
Answer:
B
Step-by-step explanation:
If the sales tax rate is 7.8%, what will be the amount of sales tax on a $74 calculator?
State your answer in terms of dollars, rounded to the nearest cent
Do not include a $ sign with your response.
Answers
Answer:he sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.
Step-by-step explanation:
will this help
Verify that the function [tex]g(x)=2x^3-3x+1[/tex] satisfies the three hypotheses of Rolle’s Theorem on the interval [tex][0,2][/tex].
Answers
Answer:
the funtion does not satisfies the hypothese f(a)=f(b), just because when evaluate f(0) = 1 and when evaluate f(2) = 11,
-8 + r > -8
please show work
Answers
Hey there! :-)
-8+r>-8
r>-8+8
r>0
Hope it helps!
~Just a joyful teen
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
Hey there!
-8 + r > -8
= r > -8 + 8
= r > 0.
Steps :-
Write the equation.Bring -8 to the other side of the equation. It becomes +8. Now, add 8 & -8. We'll get 0.So, the answer will be r > 0.Hope it helps ya!
In the diagram, lines BC and DE are parallel.
What is the measure of Zx?
Answers
Thats all
Make me the bairnlieat
Solve for y 2 y = A 2Y + B + A B
Answers
Call me when you want, call me when you need
Call me in the morning, I'll be on the way
Call me when you want, call me when you need
Call me out by your name, I'll be on the way like
Which of the following is the graph of y=sqrd-x-3?
Answers
___________
[tex] \: [/tex]
y = [tex]\sqrt{-x - 3}[/tex]
graph in picture!
What is the domain of the graph
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Answer:
it D
Step-by-step explanation:
Identify the terms and like terms in the expression
t + 8 + 3t =
Answers
Answer:
jzjzhsjoqhzjs I I shxaoaas
Will mark as brainlist answer quickly
Which one of the following is the same as 72 dekaliters ?
A. 72 dal
B. 72 dI
C. 72 deciliters
D. 72 ml
Answers
Answer:
72 dal
Step-by-step explanation:
short form to dekaliter is dal
Based on the abbreviations for various units of measurements, the best answer here is A. 72 dal
Units of measurements have shorter forms such as:
Liters ⇒ LMilliliter ⇒ MLDekaliters ⇒ DALAs the short form of dekaliter is dal, the first option must be correct as it is the same as 72 dekaliters albeit in a shortened form.
We can therefore conclude that 72 dal and 72 dekaliters are the same.
Find out more at https://brainly.com/question/15998529.
A square has a side length of 4 centimeters. What is the length of the diagonal of the square? What is the length from the corner to the center of the square?
Answers
Answer:
4[tex]\sqrt{2}[/tex] cm AND 2[tex]\sqrt{2}[/tex] cm
Step-by-step explanation:
The length of a diagonal of a square means finding the hypotenuse (long side) of a right triangle with legs of the length of the side of the square. This means you can use a^2 + b^2 = c^2 to solve for the diagonal. Plugging in your values gets you 4^2 + 4^2 = c^2, simplify to get 16 + 16 = c^2, simplify further to get 32 = c^2. Isolate c by taking the square root of both sides to get [tex]\sqrt{32}[/tex] = c, which you can simplify by listing out the factors of 32 and finding pairs. 32 = 2 * 2 * 2 * 2 *2 (5 of them), meaning its square root is 4[tex]\sqrt{2}[/tex], which is the length of the diagonal. Don't forget your units! (:
For the second part, remember that the distance between the corner to the center of a square is half the diagonal of the square. You already have the length of that diagonal, so all you have to do is divide it by 2. Do so and you get 2[tex]\sqrt{2}[/tex]. Once again, don't forget your units! (:
If you're required to give decimal estimates, then pop those final answers into a calculator and round to the specified number of decimal places. No one will ask you to calculate irrational square roots, or at least no one should.
Bài 1. Tính
a) 3x(2x – 5)
b) (x+1)(x + 4)
c) (7 – x)( x + 7)
d) ( + 2)2
e) (3 – 2x)2
f) (x – 2)(x2 + 2x + 4)
Bài 2. Phân tích các đa thức sau thành nhân tử:
a) 2−19
b) 2−2+ 2 - 100
c) xz + yz - 5(x + y)
d) 2+3++3
Bài 3. Tìm x biết:
a) 4x2 - 12x = 0
b) x2 – 5x = 0
c) x(2x – 7) + 4x – 14 = 0
Answers
F F F F F F F F F F F F F
Step-by-step explanation:F f
Three workers worked for 5 hours, 7 hours and 12 hours. The total wage of $
13200 was divided among the three workers according to the number of hours of
work they did. How much did each get?
Answers
Answer:
Worked 5 hours: $550
Worked 7 hours: $2,750
Worked 12 hours: $6,600
Step-by-step explanation:
5+7+12=24
13200/24 = 550
(5)*(550) = 2,750
(7)*(550) = 3,850
(12)*(550) = 6,600
hi po pahelp ito pls pls pls pls pls pls pls
Answers
conversion of temperature
buying groceries
checking weight
measuring length
Your friend is absent from class and asks you to explain what a function is how would you explain
Answers
Answer: A function is the equation used to solve a variable, usually uses X and Y.
i.e. Y = 23x -9
Which statements include two quantities in the real world that are additive inverses?
Select each correct answer.
A. Mia walked 5 mi north and then walked 5 mi west.
B. A scuba diver descends 40 m from sea level and then descends another 10 m.
C. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.
D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.
Answers
Answer:
C and DStep-by-step explanation:
Additive inverse is when two numbers add up to zero.
A. Mia walked 5 mi north and then walked 5 mi west.
False. It would be true if the directions are opposite.B. A scuba diver descends 40 m from sea level and then descends another 10 m.
False. It is - 40 - 10 = -50 m, not zeroC. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.
True. - $300 + $300 = 0D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.
True. The atom has neutral charge as + 2 + (-2) = 0Answer:
It is given
4x+3y=24
We can also write it as
3y=24−4x
y=324−4x
Substituting x=0 in the given equation
y=324−4(0)
So we get
y=324
By division
y=8
Substituting x=3 in the given equation
y=324−4(3)
So we get
y=312
BY division
y=4
Isis is 8 years younger than
her sister. The sum of
their ages is 44 years
How old is Isis and
how old is
her sister,
Answers
Answer:
Isis 18 and her sister 26Step-by-step explanation:
Isis is 8 years younger than
her sister. The sum of
their ages is 44 years
How old is Isis and
how old is
her sister,
(44 - 8) : 2 = 18
18 + 8 = 26
------------------------
check
23 + 18 = 44
the answer is good
Circle A has a circumference of 25 centimeters.
Circle B's diameter is 3 times as long as circle A's
diameter.
What is the circumference of circle B?
Answers
The circumference of circle B would be; 74.98 cm.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
We have been given that Circle A has a circumference of 25 centimeters.
And Circle B's diameter is 3 times as long as circle A's diameter.
Thus, the Diameter of Circle B = 3 x the Diameter of Circle A
Since The circumference of the circle A = 2πr = 25
2πr = 25
r = 25/ 2π
r = 3.98 cm
The Diameter of Circle A = 2 x 3.98 = 7.96 cm
Since Diameter of Circle B = 3 x the Diameter of Circle A
Diameter of Circle B = 3 x 7.96 cm
= 23.88 cm
Radius = 23.88 / 2
Hence, the circumference of circle B = 2πr
= 2 x 22/7 x 23.88 / 2
= 74.98 cm
Learn more about circumference here;
brainly.com/question/12512221
#SPJ1
The sum of two numbers is twenty-four. The difference of the two numbers is four.
Answers
Answer:
[tex]x + y = 24[/tex]
[tex]x - y = 4[/tex]
Now, add these two equations.
You get,
[tex]2x = 28[/tex]
[tex]x = \frac{28}{2} [/tex]
[tex]x = 14[/tex]
Given,
[tex]x + y = 24[/tex]
[tex]14 + y = 24[/tex]
[tex]y = 24 - 14[/tex]
[tex]y = 10[/tex]
You can test this to the other equation as well.
[tex]x - y = 4[/tex]
[tex]14 - 10 = 4[/tex]
Hence, the two numbers are 14 and 10.
A man finished 2/3 of a project in 4hours. Working at the same rate, how long will it take him to finish 5/6 of the same project?
Answers
It will take 6 hours to finish the same project.
How to find the time taking to finish the project?From the given information, we get
[tex](\frac{5}{6} * \frac{2}{3} ) * 4[/tex] = 6
The answer is 6 hours.
What is problem-solving?Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
Learn more about Problem-solving here: brainly.com/question/23945932
#SPJ2
[tex]\frac { a } { ( a - b ) ( a - c ) } + \frac { b } { ( b - c ) ( b - a ) } + \frac { c } { ( c - a ) ( c - b ) }[/tex]
the formula is the question pleaseee helppp quickkk
Answers
Answer:
0
Step-by-step explanation:
[tex]\frac{a}{(a-b)(a-c)} +\frac{b}{(b-c)(b-a)}+\frac{c}{(c-a)(c-b)}\\= \frac{a}{(a-b)(a-c)} -\frac{b}{(b-c)(a-b)}+\frac{c}{(a-c)(b-c)}\\\\= \frac{a(b-c)-b(a-c)+c(a-b)}{(a-b)(a-c)(b-c)}}\\\\= \frac{ab-ac-ab+bc+ac-bc}{(a-b)(a-c)(b-c)}}\\\\= \frac{0}{(a-b)(a-c)(b-c)}}\\\\= 0[/tex]
the measure of the first angle is 40 degrees less than the measure of the second? need explanation. HELP
Answers
I'm going to be there in a few minutes and then I'll be back to work tomorrow morning if you want to come over and take it easy tomorrow morning if you want to go to the store and get some of the stuff you can do for me and I'll get it done and I'll be there in a bit and then I'll get
1 * w^3
how do you multiply these
Answers
Answer:
it will be w^3