Answers
Explanation: you can find the perimeter by adding up all the sides so you get (x^2 - 21 / x^2 - 9) + (5/ x+3) + (2 / x-3), factor the expression, simply and reduce.
Hope this helped! :)
The perimeter of a triangle is (x+10)/(x+3) units.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
The sides of given triangle are 2/(x-3), (x²-21)/(x²-9) and 5/(x+3).
Perimeter = 2/(x-3) + (x²-21)/(x²-9) + 5/(x+3)
= 2(x+3)/(x²-9) + (x²-21)/(x²-9) + 5(x-3)/(x²-9)
= (2x+6+x²-21+5x-15)/(x²-9)
= (x²+7x-30)/(x²-9)
= (x²+10x-3x-30)/(x²-9)
= (x(x+10)-3(x+10)/((x-3)(x+3))
= ((x+10)(x-3))/((x-3)(x+3))
= (x+10)/(x+3)
Therefore, the perimeter of a triangle is (x+10)/(x+3) units.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
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Related Questions
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Answers
Answer:
Yes.
Step-by-step explanation:
If you change nothing but the angle and positioning of the original shape, then it is congruent.
Jan notes that 6 out of every 18 cars that pass her on the
highway are red. Which of the following is the best prediction of
how many red cars will pass Jan out of the next 54 cars that go
by?
A) 6
B) 18
C) 48
D) 54
Answers
Answer:
B) 18
Step-by-step explanation:
6 out of 18 is 6/18 = 1/3
1/3 x 54 = 18
What is the distance between the points (3, 4) and (3, -7)
Answers
Answer:
distance is estimated 11
1 Roxie is coloring a rectangle sheet of paper. If the base of the rectangle is 8 inches and the height is 11 inches. What is the area Roxie colored?
Answers
solve for x
3x - (8-x) = 47
Answers
can anyone help me with this?
Answers
What are the coordinates of the image of the point after a dilation by a scale factor of 3 with the origin as the center of dilation, followed by a translation over the -axis?
Answers
Answer:
Step-by-step explanation:
3x
please help me, I lost my answer
Answers
Slope is 5/1
Y-int is (0,-3)
what is the area of this figure
Answers
Answer:
141
Step-by-step explanation:
2*3=6
5*9=45
6*15=90
141
Answer:
add all the sides I guess...
Step-by-step explanation:
or you can break that figure into rectangles. then find their areas and later sum up all the areas and you'll have your area of this shape
HELPP PLZ WILL MARK BRAINLIEST AGAIN
Answers
Answer:
The fifth and fourth one
Step-by-step explanation:
Help me with this ASAP
Answers
Answer:
2 to the power of 2 times three to the power of 2
3 to the power of 2 times 5 to the power of 2
6 to the power of 2 times 7 to the power of 3
7 to the power of 2 times 5 to the power of 3
3 to the power of 2 times 5 to the power 2 times 7 to the power of 2
Step-by-step explanation:
which value in the set (2,3,48,96) is a solution of the equation 24+x=72
Answers
Answer:
48
Step-by-step explanation:
24+x=72
Isolate x
24+x=72
-24 -24
x=48
help plzzzzz! it's math and I'll give 30 points
Answers
Answer:
[tex]\sqrt{45}[/tex]
Step-by-step explanation:
Hi there,
In order to solve this problem, you have to know the Pythagorean Theorem:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
We can see from the graph that line segment ML and LN are 6 and 3 units respectively. Since we know the lengths of two sides of the triangle, we can use the theorem above to find the hypotenuse (MN).
⇒ [tex]6^{2}[/tex] + [tex]3^{2}[/tex] = [tex]c^{2}[/tex]
⇒ 45 = [tex]c^{2}[/tex]
⇒ c = [tex]\sqrt{45}[/tex]
Hope this explanation helps. Cheers.
A full tub of water weighs 3 1/8 pounds. If the tub is filled up only 1/7 full how much would it weigh?
Answers
Answer:
[tex]\frac{25}{56}[/tex] pounds
Step-by-step explanation:
By using unitary method,
∵ 1 full tub of water weighs = [tex]3\frac{1}{8}[/tex] pounds
∴ [tex]\frac{1}{7}[/tex] of a water tub will weigh = [tex]3\frac{1}{8}\times \frac{1}{7}[/tex]
= [tex]\frac{(24+1)}{8}\times \frac{1}{7}[/tex]
= [tex]\frac{25}{56}[/tex] pounds
Therefore, water filled in [tex]\frac{1}{7}[/tex]th part of the tub will weigh [tex]\frac{25}{56}[/tex] pounds.
The weight of the tub if filled up to 1/7 full is 25/56 pounds
How to find product of fractionGiven:
Full weight of tub = 31/8 poundsIf filled halfway:
= 1/7 × 3 1/8
= 1/7 × 25/8
= (1 × 25) / (7 × 8)
= 25/56 pounds
Therefore, the weight of the tub if filled to 1/7 of the capacity is 25/56 pounds
Learn more about fraction:
https://brainly.com/question/11562149
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Answers
Answer:
x=3
Step-by-step explanation:
Hope this help and plz give me brainlist.
Answer: x=3
Step-by-step explanation: cuz Im know how to solve for x. Hope its good!
Find a and b if
2^a×3^b=12
Answers
Answer:
12=12
Step-by-step explanation:
2a = b
a -3b =12
To solve, set one of the equations equal to zero. The first equation is actually already set to 0.
b = 2a
Now you can plug this equation into the other one, by substituting the b in the equation with this.
a -3b = 12
a – 3(2a) = 12
Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).
a – 6a = 12
Combine like terms. Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs
6-1 = 5
And take the sign of the larger number. Since 6 is large and 6 is negative, we are left with
-5a = 12
Now solve for a, which in this case means dividing both sides by -5
a = -12/5
Simplify
a = -2.4
Now that you have a, it’s easy to find b
b = 2a
b = 2(-2.4)
b= -4.8
Now you check your work by plugging your new a and b into either equation to see if it’s true.
-4.8 = 2(-2.4)
-4.8 = -4.8
And just for laughs let’s try the other equation
a -3b =12
-2.4 – 3(-4.8) = 12
Distribute the 3 again. Remember that when two negative numbers are multiplied they become positive.
-2.4 +14.4 = 12
12 = 12
matt and anglela have 40$ together angela has 5more$ than matt how much
money does matt have
Answers
The function ƒ(x) = 2x − 1 indicates:
a downward shift of 1 unit.
a shift of 1 unit to the left.
an upward shift of 1 unit.
None of these choices are correct.
Answers
Answer:
the function f(x) = 2x - 1 indicates:
a downward shift of 1 unit
as the y-intercept: (0, -1)
Find the slope of the linear equation 2y = -18x + 10
Answers
Answer:
m= -9
Step-by-step explanation:
Hope this helps
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answers
Answer:
vertical? (not sure
75=4x-25
100=4x
x=25
Can you plz help me real quick I want good grades so I don't disappoint
Answers
Answer:
x= 6
∠FGT = 55
∠GFE = 65
Step-by-step explanation:
PLEASE HELP !!!! Give an example of
Answers
A. Recall: 10 cents = 0.1$, 15 cents = 0.15$
If you rent a car from the first car agency your cost for the rental will be:
(1)
If you rent a car from the second car agency the total amount of money to pay is:
(2)
Given that the problem says you want to rent the car just for one day, then D = 1, therefore:
First agency:
Second agency:
At some number of miles driven the two costs will be the same:
Solving for M:
There is a representation of this problem in figure 4. Up until you drive 200 miles you would save money by going with the second company.
help me pls i give brainliest
Answers
Answer:
Decreased I think because they bumped into the other person
Step-by-step explanation:
Answer:
increased
i just heard my brother say it because he's in highschool. TwT
Which simplified expression matches the perimeter of the shape?
Answers
hope it helps
Help me with this question please!
Answers
Answer:
24, 21, 15, 12
Step-by-step explanation:
Since x is given in the table, you can find the y-values by plugging each of the x-value into the equation replacing x.
[tex]y=30-3(2)=30-6=24[/tex] [tex](2, 24)[/tex]
[tex]y=30-3(3)=30-9=21[/tex] [tex](3, 21)[/tex]
[tex]y=30-3(5)=30-15=15[/tex] [tex](5, 15)[/tex]
[tex]y=30-3(6)=30-18=12[/tex] [tex](6, 12)[/tex]
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It is convenient to let a spreadsheet or graphing calculator do the repetitive arithmetic.
__
If you want to do it by hand, put the x-value in the equation and do the arithmetic. For example, ...
y = 30-3(2) = 30 -6 = 24 . . . for x=2
Pisces is replacing paving stones for her inground pool. Her pool is 10m by 5m and is surrounded by a 1 1/2 border of paving stone. If each paving stone was 25 cm by 40 cm, in theory, how many paving stones will she need?
Answers
Answer:
The number of paving stones she needs is 540 paving stone
Step-by-step explanation:
The given dimensions of Pisces' inground pool = 10 m by 5 m
The thickness of the border surrounding the pool = 1 1/2
The dimensions of each paving stone = 25 cm by 40 cm = 0.25 m by 0.4 m
The length dimension of the pool and border = 10 + 2 × 1 1/2 = 13 m
The width dimension of the pool = 5 + 2 × 1 1/2 = 8 m
The total area of the paving stone, [tex]T_A[/tex] = Area of pool + border - Area of pool
∴ [tex]T_A[/tex] = 13 m × 8 m - 10 m × 5 m = 54 m²
The total area of the paving stone = 54 m²
The area of each paving stone, [tex]A_{EP}[/tex] = 0.25 m × 0.4 m = 0.1 m²/paving stone
The number of paving stones she needs, n = (The total area of the paving stone)/(The area of each paving stone)
∴ n = 54 m²/(0.1 m²/paving stone) = 540 paving stone.
Leslie rolls two fair number cubes numbered from 1 to 6. She first defines the sample space, as shown below:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Based on the sample space, what is the probability of getting a total of 11? (5 points)
2 over 36
3 over 36
4 over 36
5 over 36
Answers
Answer:
67
Step-by-step explanation:
Answer:
2 over 36
Step-by-step explanation:
The only way to get an 11 is with a 5 and a 6 so the probability of rolling a sum of 11 is:
(2/6)(1/6)=2/36
find m<VOR
A. 70°
B.80°
C.85°
D.95°
Answers
Answer:
C. 85
Step-by-step explanation:
If you look closely to the protractor, r is in the middle of 80 and 90 which is 85
if the four shaded triangles in the figure are congruent right triangles, does the inner quadrilateral have to be a square? explain how you know
Answers
Answer:
love
Step-by-step explanation:
you
Find the 53rd term of the arithmetic sequence -12, -1, 10
Answers
440 is the answer
Tn=a+(n-1)d
Tn=53
a= -12
n=53
d= 11
-12+(53-1)11 = 440
Answer:
560Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
Since we're finding the 53rd term
a = - 12
n = 53
d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11
d = 11
So we have
A(53) = - 12 + (11)(53 - 1)
= - 12 + 11(52)
= -12 + 572
= 560
We have the final answer as
560Hope this helps you
