The expression [tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex] is equivalent to [tex]\dfrac{22x+48}{x^2-36}\\\\[/tex] and it can be determined by using LCM and fraction.
Given that,Expression;[tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex]
If no denominator equals zero,
We have to determine,Which expression is equivalent to the given expression?
According to the question,Expression;
[tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex]
If no denominator equals zero,
To determine the equivalent relation of the given equation following all the steps given below.
Step1; First take the LCM,[tex]\rm= \dfrac{15}{x-6}+\dfrac{7}{x+6}\\\\=\dfrac{15(x+6) + 7(x-6)}{(x-6) (x+6)}[/tex]
Step2; Multiply the terms and simplify the equation,[tex]\rm=\dfrac{15(x+6) + 7(x-6)}{(x-6) (x+6)}\\\\= \dfrac{15x+90 + 7x-42}{x(x+6) -6 (x+6)}\\\\= \dfrac{22x+48}{x^2+6x -6 x-36}\\\\= \dfrac{22x+48}{x^2-36}\\\\[/tex]
Hence, The expression [tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex] is equivalent to [tex]\dfrac{22x+48}{x^2-36}\\\\[/tex] .
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Marcy's breakfast table has a square top
with an area of 36 square feet. What is the
diagonal length of the tabletop?
Answer:
scroll
Step-by-step explanation:
√36 = 6
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
√72 = c
6√2 = c
6√2 = V
(Estimate rounded = 8.49)
Four times a number, decreased by 2, is 8 more than the product of six and the number.
Find the number.
Answer:
-5
Step-by-step explanation:
4x -2 = 8 + 6x
-2x = 10
x = -5
i cant fail this class
Answer:
what are you asking?
Step-by-step explanation:
If tanx = 0.75, what is the value of cosx + sinx ?
Answer:
theta is eq to 36.86 value is. 0.5998+0.8=1.399
evaluate the expression 16.78-12.237
Answer: The answer to the expression is 4.543.
Answer : 4.543
Step-by-step explanation :
First step, subtract . . . what is 16.78 minus 12.237 ? 4.543
GIVING BRAINLIEST. please help.
OK ILL HELP
Its the first option
SOLVE HYPOTENUSE LEG-HL
-GEOMETRY
[tex]\huge \rm༆ Answer ༄[/tex]
The required information needed to prove the two triangles congruent by HL congruency criteria is ~
[tex] \sf {VW} \cong BA[/tex]how do you think I'm NOW
Answer:
u are u and u and u and u and u
Please help I need help by the end of today
Answer:
A. x = 7, y = 3
Step-by-step explanation:
The triangles are congruent by HL if the hypotenuses are congruent, and if the marked legs are congruent.
3x -1 = 6y +2 . . . . hypotenuses are congruent
2x = 5y -1 . . . . . . .legs are congruent
Subtracting 2 times the first equation from 3 times the second gives ...
3(2x) -2(3x -1) = 3(5y -1) -2(6y +2)
6x -6x +2 = 15y -3 -12y -4
9 = 3y . . . . . . . . . . . add 7 and simplify
y = 3 . . . . . . . . divide by 3
This value of y matches only answer choice A.
a lakeis 200ft wide. two boats start to move towards one another from opposite shores.In one minute ,the first boat goes 40 ft and the second one goes 30 ft they are very slow! what would be the distance between the boats after 1 minute
The distance between the boats after 1 minute would be 130 ft.
Given that a lake is 200ft wide, and two boats start to move towards one another from opposite shores, and in one minute, the first boat goes 40 ft and the second one goes 30 ft, to determine what would be the distance between the boats after 1 minute the following calculation must be performed:
Total width - boat distance 1 - boat distance 2 = Distance after 1 minute 200 - 40 - 30 = X 130 = X
Therefore, the distance between the boats after 1 minute would be 130 ft.
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Someone please help
What is this expression in simplest form?
Answer:
A. 1÷(X+1) (x-2)
some steps are directly
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find the length of the rectangular plot of land whose weight is 10 M and perimeter is 44 m
Step-by-step explanation:
Area of this plot =(84×84) m
2
=7056 m
2
length of rectangular plot =144 m.
We know that the area of the square plot is same as the area of the rectangular plot
Let breadth of rectangular plot be x.
then, 144x=7056 [∵ Area of a rectangle =l×b ]
⟹x=
144
7056
=49 m
∴ The width of rectangular plot is 49 m.
Which expression has a sum of 1 2/21
A. 3/7 + 2/3
B. 4/7 + 1/3
C. 5/7 + 2/3
D. 6/7 + 1/3
Answer:
A. is the answer
Step-by-step explanation:
the LCM of 7 and 3 is 21.
When added it would be 9+14 =23
23/21= 1 2/21
A motor-boat takes the same time to travel 80 miles downstream as it takes to travel 60 miles upstream. If the speed of the stream is 5 miles/hr, find the speed of the motor-boat in still water.
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let a represent the speed of the motor boat in still water and t represent the time. Hence for downstream:
a + 5 = 80/t
t = 80/(a + 5)
For upstream:
a - 5 = 60/t
a - 5 = 60 / (80/(a + 5))
a - 5 = 0.75a + 3.75
0.25a = 8.75
a = 35 miles per hour
The speed of the motor-boat in still water is 35 miles per hour.
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What do the following two equations represent?
9-3 = 2(x – 3)
y+5 2(+ 1)
Choose 1 answer:
The same line
ons
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines
HELP
Answer:
Intersecting but not perpendicular
Step-by-step explanation:
Assuming you forgot to add the = between y+5 and 2(1)
Since there is a opposite single variable in either equation the lines will intersect but not be perpendicular
Find the factors of f(x) given that x = 5 is a zero.
f(x) = x3 − 6x2 − x + 30.
(x − 5)(x + 3)(x − 2)
(x − 5)(x − 3)(x + 2)
(x + 5)(x − 3)(x + 2)
(x + 5)(x + 3)(x − 2)
Answer:
B.(x − 5)(x − 3)(x + 2)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Graph the following equation.
x+2y>-6
Answer:
im not to sure i think it is 45
Step-by-step explanation:
your welcome
Answer:
-2y=6-x
y=0.5x-3
x=0
y=0.5*0-3=-3
(0;-3)
y=0
0=0.5x-3
0.5x=3
x=3/0.5=6
(6;0)
Help me plz plz plz plz plz plz plz plz plz plz plz
10 A seal pup gains 28% of its birth weight each
day for the first 10 days of its life.
A one-day-old pup weighs 17.92 kg.
How much did it weigh at birth?
Answer:
WEIGHT
550 to 880 pounds
LIFESPAN
25 to 35 years
LENGTH
7.5 to 10 feet
THREATS
Entanglement, harassment, chemical contaminants, oil spills and energy exploration, vessel and vehicle interactions
REGION
New England/Mid-Atlantic
Step-by-step explanation:
Step-by-step explanation:
Hmm so a pup gains 28% weight every day for the next 10 days.. But a day old puppy weight 17.92kg sooo
28%+10every day=10.28
17.92-28%=12.9
17.92x10=179.2
Hmmmm
Well a seal pup weights 8-12kg on birth so ye I was right anweser is 12
does anyone have an answer to this question?
Answer:
8.9 cm to 1 dec. place.
Step-by-step explanation:
First, use Pythagoras to find the length of BD.
BD^2 = 6^2 + 7^2 = 85
BD = √85.
BM = √85 / 2.
Consider the triangle TBM, by Pythagoras:
TB^2 = BM^2 + MT^2
MT^2 = 10^2 - (√85 / 2 )^2
= 100 - 21.25
= 78.75.
MT = 8.874
the two triangles below are similar.
Answer:
Step-by-step explanation:
yes they are just a rotated triangle
solve (2x + 5)= (2x + 3)(2x - 1)
[tex](2x + 5)= (2x + 3)(2x - 1)\\<=>2x+5=4x^2-2x+6x-3\\<=>4x^2-2x+6x-3-2x-5=0\\<=>4x^2+2x-8=0\\<=>(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\<=> x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}[/tex]
Answer:
x = -1± sqrt( 33)
----------------------------
4
Step-by-step explanation:
(2x + 5)= (2x + 3)(2x - 1)
Distribute
2x+5 = 4x^2 +6x-2x-3
Combine like terms
2x+5 = 4x^2 +4x -3
Subtract 2x +5 from each side
0 = 4x^2 +4x-3-2x-5
Combine like terms
0 =4x^2 +2x -8
Using the quadratic formula
a=4 b=2 c=-8
x = -b± sqrt( b^2-4ac)
----------------------------
2a
x = -2± sqrt( 2^2-4(4)(-8))
----------------------------
2(4)
x = -2± sqrt( 4+128)
----------------------------
8
x = -2± sqrt( 132)
----------------------------
8
x = -2± 2sqrt( 33)
----------------------------
8
x = -1± sqrt( 33)
----------------------------
4
-2a
0b
-2
× -5b
4
× -b
Answer:
Step-by-step explanation:
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What is the quotient of 8.44 and 0.04?
10 pts
8.44/0.04=211
hope this helps!
Answer:
211
Step-by-step explanation:
8.44 divided by 0.04 = 211
(-x + 3) + (4x - 10)
Here is a free 100 points annnnd brainliest
This question is about strategy
Skill
Precision
Alr here it is:
Problem one: Molly bought and infinite amount of bottles of dish soap. She had an infinite amount of money. When she bought the dish soap, she lost all of it.
How is this possible?
Problem one (part two): Molly then called her friend Blitzo over. Blitzo then gave Molly and infinite amount of money without losing all of his money.
How is this possible
If you have questions or want hints, ask in comments below this question
1. She bought the infinite dish soap with her money
2. you can't lose anything infinite
3. remeber our deal? brainliest pls.
BRAINLIEST 87x89 PLEASE
Answer:
7743 caught you again lolllll
what is the value of x? 48°(3x + 6)
Answer:
No clue
Step-by-step explanation:
Write the following equation in slope-intercept form.
3 x- 2 y=5
y= 3/2 x - 5/2
y= -3/2 x -5/2
y= -3/2 x + 5/2
Answer:
A)
Step-by-step explanation:
3x-2y=5
2y=3x-5
y=3/2x-5/2
y = 3/2x + -5/2
hope this helps!