Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (a, b) and r = m , thus
(x - a)² + (y - b)² = m² ← in standard form
Expand the factors using FOIL and rearrange
x² - 2ax + a² + y² - 2by + b² = m² ( subtract m² from both sides )
x² + y² - 2ax - 2by + (a² + b² - m² ) = 0 ← in general form → A
Answer:
It's option A for plato
Step-by-step explanation:
A. x^2 + y^2 − 2ax − 2by + (a^2 + b^2 − m^2) = 0
Simplify
4a x 6a^5
8a^2
It is a fraction
Answer:
[tex] = 3 {a}^{4} [/tex]
Step-by-step explanation:
[tex] \frac{4a \times 6 {a}^{5} }{8 {a}^{2} } \\ = \frac{24 {a}^{1 + 5} }{8 {a}^{6} } \\ = \frac{24 {a}^{6} }{8 {a}^{2} } \\ = 3 {a}^{6 - 2} \\ = 3 {a}^{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The right answer is 3a^4
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
You are considering a certain telephone company. They charge $0.17 per minute of talking, plus a fixed base monthly fee of $40 . If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C ?
Answer:
C = 40 + 0.17M
Step-by-step explanation:
Total monthly charge = Fixed base fee + charge per minute*total number of minutes
C = 40 + 0.17*M
C = 40 + 0.17M
the line passing through point (2, 4), parallel to the line whose equation is y = x
Answer:
y = x + 2
Step-by-step explanation:
slope = 1
y = mx + b
4 = 1(2) + b
2 = b
y = x + 2
Is the figure a translation?
Answer: yes
Step-by-step explanation: A translation is a transformation that slides a figure to a new position.
So in this problem, notice that we can slide the triangle on the top to the position of the triangle on the bottom.
So, this represents a translation.
what is the measure of B
Answer:
m<B = 44
Step-by-step explanation:
Since AB is a diameter, then angle C is a right angle.
That makes angles A and B complementary angles.
m<A + m<B = 90
46 + m<B = 90
m<B = 44
Answer:
B = 44
Step-by-step explanation:
The sum of the angles of a triangle is 180
A + B+ C = 180
<C = 90 since it is 1/2 of the intercepted arc which is 180
46+ B + 90 = 180
136 + B = 180
B = 180-136
B =44
An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?
Thank you!
Answer: 12 child tickets
Step-by-step explanation:
We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.
Equation 1
5.25x+3.05y=498.6
This equation comes from the cost of tickets.
Equation 2
x+y=100
This equation comes from the number of tickets.
We can use elimination method to solve for y.
5.25x+3.05y=498.6
5.25x+5.25y=525
Now, we can subtract the equations for x to cancel out and to solve for y.
-2.2y=-26.4
y=12
determine whether the system of linear equations has one solution, infinitely many solutions, or no solutions. Explain your reasoning. y=4x+6, 2y=8x+12
Answer:
Infinitely many solutions
Step-by-step explanation:
Since you already have y isolated in one equation, you can plug it in and use it in the other equation
2y = 8x + 12
2(4x + 6) = 8x + 12
8x + 12 = 8x + 12
Get the x's to one side
12 = 12
Meaning you have infinitely many solutions.
Try plugging in any x value you can think of and the left side will always equal the right side. so
x = 0 --> 8(0) + 12 = 8(0) + 12
12 =12
x = 1 --> 8(1) + 12 = 8(1) + 12
20 = 20
and so on.
I graphed it here for you and the 2 functions are on top of each other which means at every x value y = 4x + 6 is equal to 2y = 8x + 12
What is the slope of a line that passes through (-14,-13) and (7,0)?
A. 21/13
B. 13/21
C. -13/21
D. -21/13
Answer:
The answer is B.
Step-by-step explanation:
You have to apply gradient formula by using coordinates :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Let (x1,y1) be (-14,-13),
L3t (x2,y2) be (7,0),
[tex]m = \frac{0 - ( - 13)}{7 - ( - 14)} [/tex]
[tex]m = \frac{13}{21} [/tex]
The difference of two timber’s is 8. When twice the first number is added to three times the second number, the result is 51. What are the two numbers?
Answer:
First number:15
Second number: 7
Step-by-step explanation:
To find the 2 numbers, we can use system of equations.
Let's use x for the first number and y for the second number. Our first equation would be:
x-y=8
This equation comes from the first sentence: the difference of the 2 numbers is 8. The second equation would be
2x+3y=51
This equation comes from the second part of the question.
We can use elimination method to find x and y.
x-y=8
2x+3y=51
Let's eliminate x. To do so, the x in both equations must be equal to each other. Since one is x and another is 2x, we must multiply the first equation by 2 to get the same x.
2x-2y=16
2x+3y=51
Now that the x are the same, we can subtract the equations.
-5y=-35
y=7
With our y value, we can find x by plugging y into any of the equations.
x-7=8
x=15
Since we found our x and y, the first number is 15 and the second number is 7.
The cube root of 24.
Answer:
2.88449914
Step-by-step explanation:
If f(x)=3x^2and g(x) =x+2 find (f •g)(x)
Answer:
3x^2+12x+12
Step-by-step explanation:
i think you just sub in x+2 into 3x^2
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
13. Which is not a pair of congruent sides in the diagram below?
A) KJ AND JH
B) EF AND JH
C) KJ AND FG
D) EK AND GH
Answer:
A) KJ AND JH
Step-by-step explanation:
EF = JH The three lines indicate they are equal
EK = GH The one line indicates they are equal
KJ = FG The two lines indicates they are equal
Answer:
A) KJ and JH
Step-by-step explanation:
KJ has 2 tally Mark's which differentiate from the number of 3 tally marks that JH hasKJ is congruent to EG JH is congruent to EF(If the number of tally's are different that means that they are not the same length = not congruent)B - EF and JH both have 3 tally marks therefore indicating it is correct and they are equalC - KJ and FG both have 2 tally marks therfore indicating it is correct and they are equalD - EK and GH both have 1 tally mark therefore indicating it is correct and they are both equalA certain substance has a half life of 1 hour. If you start with 3000 grams of the substance, how much will you have in 1 hour?
Answer:
1500 grams
Step-by-step explanation:
A= P(0.5)^t
A=3000(0.5)^1
A=1500
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
[tex]y = \frac{5}{2} x^{2}[/tex]
Step-by-step explanation:
When you scale a parabola vertically, you multiply the [tex]x^{2}[/tex] by what you are scaling it vertically by.
For example, say you have [tex]y = 8x^{2}[/tex]. That means that [tex]y = x^{2}[/tex] was scaled vertically by a factor of 8.
I hope this helps!
A sector with a central angle measure of 4pi/5
(in radians) has a radius of 5 cm.
What is the area of the sector?
Answer:
10 pi
Step-by-step explanation:
25 pi
20 pi
10 pi
5 pi
C is the answer
The area of the shaded sector of the circle will be 10π units².
What is the Area of a Sector?Area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.
As per the question, QR = 5 and m∠RQS = 4π/5 = 144°.
As per the given question given data:
θ = 4π/5
r = QR = 5
Substitute the values in the formula to get:
Area of sector of a circle = 144/360 × π(5)²
Area of sector of a circle = 1/4 × π(25)
Apply the multiplication operation, and we get
Area of a sector of a circle = 10π units²
Thus, the area of the shaded sector of the circle is 10π units².
Learn more about the area of a sector here:
brainly.com/question/22972014
#SPJ2
The question seems to be incomplete the correct question would be:
In circle Q, QR = 5 and m∠RQS = 4π/5. Find the area of the shaded sector.
Express your answer as a fraction times pi.
Someone have the answer please ?!
True if the lines were not vertical this would be false.
the coordinates of point G ar (4,-2) and the gradient of the straight line GH is -2.The coordinates of point H could be
A.(-1,6)
B.(-1,8)
C.(-1,10)
D.(-1,12)
Step-by-step explanation:
Given that the formula of gradient is :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
So you have to try for every coordinates :
Option A,
[tex] \frac{6-(-2)}{-1-4} = - \frac{8}{5} (incorrect) [/tex]
Option B,
[tex] \frac{8-(-2)}{-1-4} = -2 (correct) [/tex]
Option C,
[tex] \frac{10-(-2)}{-1-4} = - \frac{12}{5} (incorrect) [/tex]
Option D,
[tex] \frac{12-(-2)}{-1-4} = - \frac{14}{5} (incorrect) [/tex]
Please help! Correct answers only!
There is a raffle with 200 tickets. One ticket will win a $550 prize, one ticket will win a $510 prize, one ticket will win a $280 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " = $ 6.70
Step-by-step explanation:
Consider the steps below;
[tex]Probability of Winning the 550 Dollar Prize - 1 / 200,\\Probability * Money Won = " Expected Payoff " For The 550 Dollar Prize,\\\\1 / 200 * 550,\\" Expected Payoff " - 2.75 Dollars,\\\\Probability of Winning the 510 Dollar Prize - 1 / 200,\\\\1 / 200 * 510,\\" Expected Payoff " - 2.55 Dollars,\\\\Probability of Winning the 280 Dollar Prize - 1 / 200,\\\\1 / 200 * 280,\\" Expected Payoff " - 1.4 Dollars,\\\\[/tex]
[tex]Conclusion ; Expected Payoff = 6.70 Dollars[/tex]
no jk drtyguhiytr5tyguhigyft fyguhijk
Answer:
1232
Step-by-step explanation:
13/91= 176/x
1/7=176/x
x= 176*7
x= 1232 bass
Which is equivalent to v10 3/4?
Answer:
d) [tex](\sqrt[8]{(10} )^{3 x}[/tex]
Step-by-step explanation:
Step(i):-
Given [tex](\sqrt{10} )^{\frac{3 x}{4} }[/tex]
we will use formula
[tex](a)^{m n} = (a^{m} )^{n}[/tex]
[tex](\sqrt{10} )^{\frac{3 x}{4} } =( (10)^{\frac{1}{2} } )^{\frac{3 x}{4} }[/tex]
= [tex]( (10)^{\frac{1}{2} X\frac{3 x}{4} } )[/tex]
= [tex]( (10)^{\frac{3 x}{8} } )[/tex]
= [tex]((10)^{\frac{1}{8} } )^{3x}[/tex]
Step(ii):-
we will apply [tex](a)^{\frac{1}{n} } = \sqrt[n]{a}[/tex]
= [tex](\sqrt[8]{(10} )^{3 x}[/tex]
not sure what this one is
Answer:
37
Step-by-step explanation:
If this is a regular hexagon, the sides have the same length
3y +19 = 6y+1
Subtract 3y from each side
3y+19-3y = 6y-3y+1
19 = 3y+1
Subtract 1 from each side
19-1 = 3y+1-1
18 = 3y
Divide each side by 3
18/3 = 3y/3
6 =y
ST = 6y+1
=6*6+1
=36+1
= 37
Answer:
37 units
Step-by-step explanation:
sides are equal
3y+19=6y+1
3y= 18
y= 6
3y+19= 3*6+19= 37
QR=ST= 37 units
URGENT!!LAST 3 QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!
1. If a triangle has two angles that measure 57 and 94 degrees, what is the measure of the third angle?
A) 29°
B) 37°
C) 57°
D) 33°
FIND X ( FIRST IMAGE) A) 21.125 B) 7 C) 22.5 What is the measure of angle EGH? SECOND IMAGE A) 26° B) 102° C) 38°
Answer:
1. A
2. B
3. B
Step-by-step explanation:
1. 180+57-94= 29
2. 4x + 7 + 97 + 180 - 17x - 13 = 180
-13x = -91
x = 7
3. 180 - 64-38 = 78
180-78 =. 102
Answer:
A) 29°
B) 7°
B) 102°
Step-by-step explanation:
1. ------------------------
sum of angles= 180°missing angle= 180°-57°-94°= 29°2. ------------------------
4x+7°+97°=17x+13°13x=91°x=7°B) 7°3. ------------------------
EGH=GEH+EFGEGH=64°+38°=102°B) 102°Please answer correctly !!!!!!!! Will
Mark brainliest !!!!!!!!!!!
Answer: Z²+ 9Z + 8
Step-by-step explanation:
You take the two z's and times them to get Z² then you do the Z times 1 to get 1Z then you do the Z times 8 to get 8Z then you take the 8 times 1 and get 8 so then you add the like terms. You add 1Z and 8Z and you get 9Z. The you put it in standard form to get Z²+9Z+8
Dymin had a lot of boxes ready for moving. She went out and
bought seven more boxes. A week later her little brother
destroyed half of them. There are now only 22 boxes left.
How many did she start with?
Answer:
37 boxes
Step-by-step explanation:
At first, Dymin had some boxes. Let x be the starting number of boxes.
Then, she bought 7 more boxes. Let y be the new number of boxes that she had.
y = x + 7
Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is
Number of boxes = y/2
The number of the boxes left is 22 boxes. Then, we can use the equation above.
Number of boxes = 22
y/2 = 22
Substitute y = x + 7 into the equation.
(x + 7)/2 = 22
x + 7 = 44
x = 44 - 7
x = 37
Thus, Dymin has 37 boxes at first.
If you borrow $300 for 14 years at
an annual interest rate of 4%, how
much will you pay altogether?
Answer:
$468
Step-by-step explanation:
I = P*R*T
I = 300*0.04*14
I = 168
168 + 300 = 468
a theatre ticket costs £63 plus a booking fee of 3%.
what is the total price of the ticket?
Answer:
64.89£
Step-by-step explanation:
Given:
Theater ticket costs £63
Booking fee: 3% of original price
Solve for:
Total price of ticket
Solution:
Step 1: Select relevant procedure
The total price including the booking fee, then before working out the total price, the booking fee should be calculated.
Step 2: Perform the calculation
The booking fee of ticket is calculated by:
BF = 3% of £63 or (3/100) x 63 = 1.89
Adding up the ticket price and booking fee to get total price:
Total price = ticket price + booking fee = 63 + 1.89 = 64.89£
Hope this helps!
:)
A worker pushes a wheelbarrow with a force of 20N downward and to the left, as shown in the figure below. The angle the handle makes with the horizontal is 34°. Note that the figure is not drawn to scale. Write the force vector F in the form =F+aibj. Do not round any intermediate computations, and round the values in your answer to the nearest hundredth. f=
Answer:
The values of F will be "16.58 i + 11.18 j".
Step-by-step explanation:
The given values are:
Force, F = 20 N
Angle, Ф = 33°
The formula use in the given scenario will be:
⇒ [tex]x=a \ Cos\theta[/tex]
⇒ [tex]y=a \ Sin\theta[/tex]
Now,
For Force, [tex]F=ai+bj[/tex]
⇒ [tex]a=F \ Cos\theta[/tex]
⇒ [tex]=20 \ Cos(34^{\circ})[/tex]
⇒ [tex]=20\times .829[/tex]
⇒ [tex]=16.58[/tex]
and,
⇒ [tex]b=F \ Sin\theta[/tex]
⇒ [tex]=20 \ Sin(34^{\circ})[/tex]
⇒ [tex]=20\times .55[/tex]
⇒ [tex]=11.18[/tex]
So that,
⇒ [tex]F=16.58 \ i+11.18 \ j[/tex]
The measure of c is?
[tex]answer \\ \sqrt{208} \\ solution \\ hypotenuse = c \\ perpendicular = 8 \\ base = 12 \\ using \: pythagoras \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {c}^{2} = {8}^{2} + {12}^{2} \\ or \: {c }^{2} = 64 + 144 \\ or \: {c}^{2} = 208 \\ c = \sqrt{208} \\ hope \: it \: helps[/tex]
Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) – 6 = 0? A. (u + 2)^2 + 5(u + 2) – 6 = 0 where u = (x – 2) B. u^2 + 4 + 5u – 6 = 0 where u = (x – 2) C. u^2 + 5u – 6 = 0 where u = (x + 2) D. u^2 + u – 6 = 0 where u = (x + 2) (This is a question from Edg by the way)
Answer:
C. u^2 + 5u – 6 = 0 where u = (x + 2)
Step-by-step explanation:
(x + 2)^2 + 5(x + 2) – 6 = 0
Let u = x+2
(u)^2 + 5(u) – 6 = 0
Answer:
C.u^2+5u-6=0
Step-by-step explanation:
By comparing (x+2)^2+5(x+2)-6=0 to answer C,that is u^2+5u-6=0,u=(x+2).
By sustituting (x+2)into answer C,we get;
(x+2)^2+5(x+2)-6=0 which is the same as the quadriatic equation given in the question.
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation
Cluster- a group of points that close together
symmetry- data is balanced on opposite sides of a point or line
spread- how close or far apart the values are in a data set
center- the middle of a data set
gap- a space between data values