[tex]t= \dfrac{2r}{r-1}\\\\\implies tr-t= 2r\\\\\implies tr -2r = t\\\\\implies r(t-2) = t\\\\\implies r = \dfrac{t}{t-2}[/tex]
The formula of r is t/t-2 for equation t=2r/r-1.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is t = 2r/r-1
t equal to two times of r divided by r minus one
We need to find the formula for r
t = 2r/r-1
Apply cross multiplication
t(r-1)=2r
Apply distributive property on left side
tr-t=2r
Subtract 2r on both sides
tr-2r=t
r(t-2)=t
Divide both sides by t-2
r=t/t-2
Hence, the formula of r is t/t-2 for equation t=2r/r-1.
To learn more on Equation:
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Three DVDs and four CDs cost $92. Two DVDs and three CDs cost
$65. Find the cost of each tape and CD.
Answer:
DVD: $16
CD: $11
Step-by-step explanation:
These two linear equations can represent the system of equations where x equals the cost of a DVD and y equals the cost of a CD:
3x+4y=92
2x+3y=65
When graphed, the solution is at (16,11).
Therefore, one DVD costs $16 and one CD costs $11.
Abby is shooting a rocket off the top of a 128 foot tall building at a velocity of 96 feet per second. The equation to represent this is h(t) = -16t? +960 + 128 where h(t) represents the height of the rocket and t is the time after takeoff.
What is the maximum height of the rocket?
How many seconds does ot take to get to the maximum height?
Find the time it takes (in seconds) for the rocket to crash to the ground.
Answer:
a) 272 feet
b) 3 seconds
c) 7.123 seconds
Step-by-step explanation:
A graphing calculator provides an easy way to answer questions about the parameters of a quadratic function. Here the graph shows ...
a) the maximum height is 272 feet
b) it takes 3 seconds to get there
c) the rocket crashes after about 7.123 seconds
__
You can solve this algebraically by rewriting the equation in vertex form.
h(t) = -16t² +96t +128 . . . . . . given
h(t) = -16(t² -6t) +128 . . . . . . . factor out leading coefficient
h(t) = -16(t² -6t +9) +128 -(-16)(9) . . . . complete the square
h(t) = -16(t -3)² +272 . . . . . . write in vertex form
The vertex of the height function is (3, 272) meaning the rocket reaches a maximum height of 272 feet after 3 seconds.
__
The zero of the function can be found to be ...
0 = -16(t -3)² +272
0 = (t -3)² -17 . . . . . . divide by -16
t -3 = ±√17 . . . . . . add 17, take the square root
t = 3 +√17 ≈ 7.123106 . . . . . positive time value for h(t) = 0
It takes about 7.12 seconds for the rocket to crash.
need help please again
Answer:
7 hours
Step-by-step explanation:
d=rt
d is distance
r is speed
t is time
here we need to find (t)
so d/r is t
so t is 455/65
t is 7
What is the mean , median
x -5 = 2x -8 solve this equation
Answer:
x = 3
Step-by-step explanation:
x - 5 = 2x - 8
First subtract x from both sides: -5 = x - 8
Finally, add 8 to both sides: 3 = x
Hope this helps!
Help picture below problem 15
Answer:
Supplementary
Step-by-step explanation:
The two angles are completely different from each other and if you combine them together it'll form a straight line making it 180 degrees
. There is 40% decresed in price on a sale. It is futher decresed by 5% find the total decreased percentage
Let x be the original price of the object.
After the 40% discount, the price of the object now becomes;
x-0.4x=0.6x
0.6x is our new price after the first discount.
Now if we want to find the price after the second discount, (5%)
That would come off to be;
0.6x-0.6(0.05)x=0.6x-0.03x=0.57x
Our last price is 0.57x
If you notice, there was a 43% discount in total, as it goes to 57% of its original price.
This is very non intuitive for some people, as they may think there will be a 45% discount.
Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(0, −8) and line y = 8.
Answer:
-1/32 × x
Step-by-step explanation:
let's define and identify the correct markers of the correct parabola.
so, we have the focus point F (0, -8).
we have the directrix y = 8.
that means the the vertex point (the middle between the focus and the directrix) is (0, 0).
a parabola is turning away from the directrix. the vertex here is below the directrix, so the parabola is opening downwards and has therefore a negative factor of x.
so, we can rule out the 2 positive answer options.
to decide between the other 2, let's use a value of x and see, if the point is equidistant to the focus and the directrix.
e.g. x = 1
so,
y = -1/8 × x²
gives us y = -1/8 for x = 1
that means the point is (1, -1/8).
the distance to the focus (0, -8) is
(1 - 0)² + (-1/8 - - 8)² = 1 + (7 7/8)² = 1 + (63/8)² =
= 64/64 + 3969/64 = 4033/64
the distance to the directrix is the distance to the point (1, 8) as the point on the directrix must have the same x value.
so, the distance (1, -1/8) to (1, 8) is
(1 - 1)² + (-1/8 - 8)² = 0 + (-65/8)² = 4225/64
that is not equal to the distance to the focus.
so, let's try
y = -1/32 × x
the point for x = 1 is (1, -1/32)
distance to focus
(1, -1/32) to (0, -8) = (1-0)² + (-1/32 - -8)² = 1 + (255/32)² =
= 1024/1024 + 65025/1024 = 66049/1024
distance to directrix
(1, -1/32) to (1, 8) = (1-1)² + (-257/32)² = 66049/1024
which is the same distance as to the focus.
so, y = -1/32 × x is the right answer.
FYI - for an actual distance I would have to create the square roots of the numbers used here.
but since we only needed to see, if distances are equal or not, it was sufficient to check if the squares of the distances are equal or not.
Answer the question 3523+4353
Answer:
7,876
Step-by-step explanation:
brainliest please
How to solve x + y[tex]\frac{dy}{dx}[/tex] = 0
Given that solution goes to (2,0) Neither x nor y can exceed 2
Answer:
The answer is {D}
Step-by-step explanation:
What is the value of X?
Sin 55° = cos X.
Enter your answer in the box.
Answer:
x = 35°
Step-by-step explanation:
sin x = cos (90° - x)
sin 55° = cos (90° - 55°)
sin 55° = cos 35°
x = 35°
what is the area of this object?
Answer: no idea
Step-by-step explanation:
99x78
123x56
98x172
38x900
Answer:
99x78=7722
123x56=6888
98x172=16856
900x38=34200
Step-by-step explanation:
If an article is sold for rs 99000 after discount of 10％ on marked price and adding 10％ of Value added tax VAT find marked price
Answer:
100000 rupees
Step-by-step explanation:
x × 0.90 × 1.10 = 99000x = 100000geometry. find RN. pls help!!
Apply Thales theorem
[tex]\\ \rm\rightarrowtail \dfrac{MR}{RN}=\dfrac{MQ}{QP}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{10}{RN}=\dfrac{8}{5}[/tex]
[tex]\\ \rm\rightarrowtail 8RN=50[/tex]
[tex]\\ \rm\rightarrowtail RN=50/8[/tex]
[tex]\\ \rm\rightarrowtail RN=6.25[/tex]
Answer:
RN = 6.25
Step-by-step explanation:
Triangle Proportionality Theorem: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
Therefore,
MQ : MP = MR : MN
⇒ 8 : (8 + 5) = 10 : (10 + RN)
⇒ 8 : 13 = 10 : (10 + RN)
⇒ [tex]\sf\dfrac{8}{13}=\dfrac{10}{10+RN}[/tex]
Cross multiply and solve:
⇒ 8(10 + RN) = 10 × 13
⇒ 80 + 8RN = 130
⇒ 8RN = 130 - 80
⇒ 8RN = 50
⇒ RN = 50 ÷ 8
⇒ RN = 6.25
Which of the binomials below is a factor of this trinomial?
x^2 - 9x + 18
A. x + 2
B. x - 2
C. x - 3
D. x + 3
Answer:
C is the answer
Hope this helps you :) Good Luck!!!
How many lines pass
through two points?
A. infinite
B. 1
C. zero
D. 2
Answer:
1
Step-by-step explanation:
Only 1 line can pass through two points.
15 POINTS ANSWER FAST!
A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 14 inches, and the width QR is labeled as 7 inches. The side LM of the square is labeled as 7 inches.
Anna says that the length of diagonal SQ is two times the length of diagonal OM.
Is Anna correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
Which of the following statements about area is not true?
A. Area is the total space within the outside edges of a two-dimensional object.
B. Area can be found by counting the number of unit squares that fill a space.
C. Area is the total distance around the outside of a shape.
D. Area is used to help describe the dimensions of a shape.
Answer:
C. Area is the total distance around the outside of a shape.
Step-by-step explanation:
Answer:
Area is the total distance around the outside of a shape, Would be correct.
Step-by-step explanation:
can you please help me
Answer:
42
Step-by-step explanation:
G-14
O-14
O-14
so 14•3=42
solve the formula P = 2l + 2w for w.
We are given the following equation :
[tex]{:\implies \quad \sf P=2L+2w}[/tex]
And we need to solve for w, so let's start :
[tex]{:\implies \quad \sf P=2L+2w}[/tex]
Now, transpose 2L to LHS ;
[tex]{:\implies \quad \sf P-2L=2w}[/tex]
[tex]{:\implies \quad \sf 2w=P-2L}[/tex]
[tex]{:\implies \quad \boxed{\bf{w=\dfrac{(P-2L)}{2}}}}[/tex]
Hence, Option a) is correct
Write the standard equation of the circle with center (-10,-5) that passes through the point (-7.5)
The standard form of the equation of the circle is
(Type an equation. Simplify your answer.)
Answer:
(x +10)² +(y +5)² = 9
Step-by-step explanation:
The standard form equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The radius of your circle is the distance between the center and the given point. Those points lie on the same horizontal line, so the radius is the difference of their x-coordinates:
r = (-7) -(-10) = 3
The equation of the circle is ...
(x -(-10))² +(y -(-5))² = 3²
(x +10)² +(y +5)² = 9
help please .and thank u :)
Answer:
5/8
Step-by-step explanation:
because 1 minus 3/8 is 5/8
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
Answer:
QUESTION:1:TYLERCOMPLETELY FILLED THE BOX SHOWN BELOW WITH UNIT,CUBES WITH NO GAPS OR OVERLAPS.HE THEN VOUNTED THE NUMBER OF CUBES THAT HE USED TO FILL THE BOX WHAT TYPE OF MESUREMENT IS REPRESENTED BY THE NUMBER OF CUBES TYLER COUNTED?(5.MD.3)A.AREA B.HEIGHT C.VOLUME D.PERIMETER The CORRECT OPTION :C.VOLUMEStep-by-step explanation:
pls brainlest me thank youA student was asked to simplify the expression 2(x+3)+(4x−8)−7x.
Identify the line which contains the initial error.
1: 2(x+3)+(4x−8)−7x
2: 2x+6+4x+8−7x
3: (2x+4x−7x)+(6+8)
4: −x+14
Answer:
Line 2
Step-by-step explanation:
When factoring the second bracket, 1 x -8 is -8.
Answer:
4
Step-by-step explanation:
2{x+3}+{4x_8}_7x is same2x+6+4x+8_7x the first bracket was multiply by 2 {2x+4x_7x}+{6+8} the like term was collected and grouped with bracketsTriangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.
What is the length of line segment LJ?
9 units
12 units
15 units
18 units
Answer:
I think 9 units is the correct answer
Answer:
its 15 units
Step-by-step explanation:
momma told me it was right
Mr. and Mrs. Williams hope to send their daughter to college in twelve years. How much money should they invest now at an interest rate of 8.5% per year,
compounded continuously, in order to be able to contribute $9000 to her education?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$9000\\ P=\textit{original amount deposited}\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ t=years\dotfill &12 \end{cases} \\\\\\ 9000=Pe^{0.085\cdot 12}\implies 9000Pe^{1.02}\implies \cfrac{9000}{e^{1.02}}=P\implies 3245.35\approx P[/tex]
sketch the graph of y=2x^2-3x-4
A bag contains 9 green marbles, 6 purple marbles, 4 red marbles, 10 blue marbles, and 7 orange marbles. One marble is randomly selected from the bag.
What is the probability that the marble selected is blue or purple?
The probability that the marble selected is blue or purple is the likelihhood of selecting a blue or purple marble
The probability that the marble selected is blue or purple is 0.444
How to determine the probability?From the question, we have:
Green = 9
Purple = 6
Red = 4
Blue = 10
Orange = 7
So, the total number of marbles is:
Total = 9 + 6 + 4 + 10 + 7
Total = 36
The number of blue or purple marbles is;
Blue or purple = 10 + 6
Blue or purple = 16
So, the probability that the marble selected is blue or purple
p = 16/36
Evaluate
p = 0.444
Hence, the probability that the marble selected is blue or purple is 0.444
Read more about probability at:
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What is the area of the parallelogram QRST?
[tex]\text{Area of parallelogram QRST} = QR \times TU = 20 ~in \times 18~in =360 in^2[/tex]