Answer:
[tex]\dfrac{x+1}{x-1}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{x^2-1}{x^2-2x+1}[/tex]
Factor the numerator and denominator
[tex]\implies \dfrac{(x+1)(x-1)}{(x-1)(x-1)}[/tex]
Factor out the common term [tex](x-1)[/tex]:
[tex]\implies \dfrac{x+1}{x-1}[/tex]
[tex]\rm{blue{ANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWER:}}[/tex]
[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\rm The\ answer\ is \rightarrow \red{\dfrac{x + 1}{x - 1}}[/tex][tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]blue{\boxed{ \red{\rm {CarryOnLearning!}}}}[/tex]
what are the dimensions of a rectangle with an area of 45 square inches and a perimeter of 28 inches?
Answer:
9 in × 5 in
Step-by-step explanation:
the area of a rectangle :
length × width
and this is 45 in² in our case.
the perimeter of a rectangle is
2×length + 2×width
and this is 28 in in our case.
l×w = 45
l = 45/w
2×l + 2×w = 2×(45/w) + 2w = 28
45/w + w = 14
45 + w² = 14w
w² - 14w + 45 = 0
the general solution to such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = w
a = 1
b = -14
c = 45
w = (14 ± sqrt((-14)² - 4×1×45))/(2×1) r
= (14 ± sqrt(196 - 180))/2 = (14 ± sqrt(16))/2 =
= (14 ± 4)/2 = 7 ± 2
w1 = 7 + 2 = 9 in
w2 = 7 - 2 = 5 in
l1 = 45/w1 = 45/9 = 5 in
l2 = 45/w2 = 45/5 = 9 in.
so, we see, length and width are interchangeable. it is only important to make one 9 in and the other 5 in.
Solve for x show work
X+12=-15
Answer:
X= -27
Step-by-step explanation:
X+12= -15
X= -15 -12
X= -27
One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.
13^2 + b^2 = 17^2
169 + b^2 = 289
b^2 = 120
b = 11.0 cm
The length of the other leg of the triangle is 11.0 cm (rounded).
Hope this helps!
The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
[tex]a^2 + b^2 = c^2[/tex]
Given that One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm.
To find the lengths of a right triangle, we can use Pythagorean Theorem:
[tex]a^2 + b^2 = c^2[/tex],
where; a and b are the legs of the triangle and c is the hypotenuse.
[tex]13^2 + b^2 = 17^2\\169 + b^2 = 289\\b^2 = 120[/tex]
b = 11.0 cm
Therefore, The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.
Learn more about Pythagoras theorem;
https://brainly.com/question/343682
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3 km is greater or less than 5,000 m
Answer:
less
Step-by-step explanation:
3 km is 1.864 miles therefore, less than 5,000 m
can y’all please help, it’s gradpoint. 30 points and brainliest with explanation ! :(
Answer:
f(g))(0) = 0
Step-by-step explanation:
assuming you mean f(g)(0)
evaluate g(0) then substitute the value obtained into f
x = 0 then g(0) = 2 ← from graph (0, 2 ) , then
x = 2 then f(2) = 0 ← from graph (2, 0 )
If charged per cut, how much will it cost
to cut a log into eight pieces if cutting it
into four pieces costs $12?
Answer:
24
Step-by-step explanation:
4x=12
x=12/4
x=3
8×=?
8(3)=24
therefore, 8 pieces will cost 24.
another way is:
since 8 is 4×2
you could double the amount of money
12x2
which would also give you $24
If charged per cut, it will cost 24 dollar to cut a log into eight pieces if cutting it into four pieces costs $12
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that to cut a log into eight pieces if cutting it into four pieces costs $12.
Thus,
4x=12
x=12/4
x=3
Hence, for 8 pieces
8(3)=24
therefore, 8 pieces will cost 24.
If charged per cut, it will cost 24 dollar to cut a log into eight pieces if cutting it into four pieces costs $12
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
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I need help asp pls!!!!
Answer:
y= -60x+ 200
Step-by-step explanation:
Given: Initial distance from Kingston = 200 miles
Distance from Kingston after 2 hours= 80 miles
Step 1:
The general model for linear equations is given as:
y= ax+ b
where
a= slope
b= y-intercept
Step 2:
The y-intercept represents the initial value: 200 miles from the Kingston
b= 200
Therefore,
y= ax+ 200
Step 3:
As the car gets closer to Kingston, the distance keeps decreasing.
The car having covered 80miles need to cover another 120 miles after 2 hours
Hence, the slope would be negative
Slope:
a= -120 miles/2 hours
a=-60
The model therefore is:
y= -60x+ 200
Final answer: Option (D)
The model is : y= -60x+ 200
Does anyone know the awnser to this problem?
x y
1 16
2 12
3 8
5 0
Step-by-step explanation:
you have to substitute ever number on the X side in the equation to get the Y
for example 1 is under x so you will take
y=20-4(1)
y=20-4
y=16
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
a) Class D - lowest variability/range
b) Class C - highest average/mean
Hope this helps!
Find the measure of X
Find the measure of PS and QR
Answer: x=4. PS=QR=15
Step-by-step explanation:
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
2.414
8.160
+ 2.621
Help (I also need help learning how too round too the nearest whole number:)
Answer:
13
Step-by-step explanation:
to round to nearest whole number if its .5 or above you go up 1. If it's .4 or below you go down 1.
2.414=2
8.160=8
2.621=3
add
2+8+3=13
if you just added the decimals you would get: 13.195. (This shows you have a good estimate.)
HCF or LCM
294 blue smarties, 252 pink smarties, and 210 yellow smarties are shared equally among some students with none left over. What is the largest possible number of students?
In a number of identical boxes of chocolates, there are 90 dark ginger, 198 white, and 126 hazelnut. What is the largest possible number of boxes of chocolates?
HCF for both I believe!
The cyclist drove from the village to the town, 30 km away. back on
the same road, he reduced his speed to 2 km/h and therefore
drove 30 minutes longer. At what speed did the cyclist ride from
the village to the city?
Please I really need your help quick
Answer:
14.5 hours
Step-by-step explanation:
Take the return trip situation.
From town to village
Distance = 30 kmSpeed = 2 km/hTime = Distance/Speed = 15 hoursThat is equal to the sum of t, the time taken from the village to the city and 30 minutes.
⇒ t + 30 minutes = 15 hours
⇒ t + 0.5 hours = 15 hours
⇒ t = 14.5 hours
Bert looks around at an assembly. He notices his younger sister to his right and his older
brother 3 meters ahead of him. If Bert's brother and sister are 5 meters apart, how far apart
are Bert and his younger sister?
meters
Step-by-step explanation:
From how Bert, his sister and older brother are standing, they form a triangle. Since we are not told anything else we can assume they form a right angled triangle. Use theorem of pythagoras to get the missing side.
Bert and his sister are 4 meters apart.
A rectangular prism is 20 meters long, 13 meters wide, and 5 meters high. What is the surface area of the rectangular prism?
Answer:
850m^2
Step-by-step explanation:
Look at the formula SA=L*W*H. And plug in the numbers pertaining the question! hints on to what to add is stuff like "long" for length, "wide" for width, and "high" for height! And use a calculator, or scetch it out to find your total answer!
Hope this helps!
Find the 14" term
7, 14, 28, 56,
Step-by-step explanation:
it seems we are dealing with multiplication, as the distances between the numbers get bigger and bigger.
and then I see
7 × 2 = 14
14 × 2 = 28
28 × 2 = 56
ok, so the sequence is created by always multiplying by 2.
a1 = 7
a2 = a1 × 2 = 7 × 2 = 14
a3 = a2 × 2 = a1 × 2 × 2 = 7 × 2 × 2 = 28
an = an-1 × 2 = a1 × 2^(n-1) = 7 × 2^(n-1)
a14 = 7 × 2¹³ = 7 × 8192 = 57,344
Bob is selling raffle tickets. For every 3 tickets, he charges $27 complete the table below showing the number of tickets and the amount Bob charges. (Number of tickets 3 ? 6 ? 9) (charge ($) 27 36 ? 72 ?)
What is the distance between A(5, 4) and
B(2, -3)?
4
5
Round your answer to the nearest hundredth.
3
69
5
Answer:
7.62
Step-by-step explanation:
To calculate the distance we can set up a right triangle and use the pythagorean theorem to calculate the distance.
A^2 + B^2 = C^2
Keep in mind that the A and B in this theorem (and my proceeding work) does not correlate to the labels for the points in the problem and are the standard variables used in the theorem.
First lets find the lengths of the sides A and B of our triangle by determing the distance on each axis that seperates the points.
On the x-axis we have
A = 5 - 2
A = 3
The y-axis has
B = 4 - (-3)
B = 7
Plugging these values into the equation from earlier we get:
3^2 + 7^2 = C^2
Where C is the hypotenuse of the right triangle we have created, and the distance between the two points.
9+49 = C^2
sqrt(58) = C
7.615773106 = C
Rounded the the nearest hundredth:
C = 7.62
34. Find the surface area for the following rectangular prism
[tex] \huge\fbox\green{ANSWER} [/tex]
Surface Area = 2×(8.25×1.5 + 8.25×3 + 1.5×3) = 83.25 centimeters^2
[tex] \mathsf \blue{83.25 {cm}^{2} }[/tex]
PLEASE HELP!!
Find the missing side lengths. Round decimals to the nearest tenth.
Answer:
x=13.9
Step-by-step explanation:
To find x we need an angle other than the right angle to use a trigonometric function. To do this we could either use Sine = Opposite/Hypotenuse or Cosine = Adjacent/Hypotenuse.
In this case i'll be using sine.
To find the angle that is above the right angle we need to use the inverse of Sine. Set up the equation
[tex] \sin^{ - 1} = \frac{22}{26} [/tex]
The answer to this is about 57.8. So now we have an angle to use to solve for x.
So now we set up the proportion
[tex] \frac{ \cos(57.8) }{1} = \frac{x}{26} [/tex]
Cross multiply.
x = 26×cos(57.8)
Put this in a calculator and x is about 13.9
2. Help me find the mode of these data set: 12, 10, 10, 10, 13,12, 11, 13, 10
(2 Points)
1. 10
2. 10 & 12
3. no mode
4. 12
Answer:
10 is the answer for this
please mark me as brilliant
I don’t understand this subject at all if you wold answer that would be a big help
Answer:
d is about 8.6 feet.
Step-by-step explanation:
We have similar triangles, so we can set up and then solve this proportion:
[tex] \frac{d}{10} = \frac{6}{7} [/tex]
[tex]7d = 60[/tex]
[tex]d = 8.6[/tex]
HELP been stuck for 1 hour please
Answer:
B
Step-by-step explanation:
First, we find the equivalent decimal numbers:
-1.75 = -1.75
-7/10 = -0.7
-1 5/7 = -1.7142...
-0.07 = -0.07
Descending order of the equivalent decimal numbers:
-0.07, -0.7, -1.7142..., -1.75
Now we replace the equivalent decimal numbers with the original numbers.
-0.07, -7/10, -1 5/7, - 1.75
Answer: B
A traffic cone has a volume of 150 cubic inches. The height of the cone is 18 inches. What is the diameter of the traffic cone?
A.
3 inches
B.
5 inches
C.
10 inches
D.
50 inches
WILL GIVE BRAINLIEST!!
4.
Which point on the number line
represents 0.3?
Answer:
Point C
Step-by-step explanation:
because the number is 0.3 you need to start at zero on the number line and go forward 3 marks. That will lead you to your answer of 0.3
Answer: it’s C because it’s the one that’s closer to 3 if u need help just ask
Step-by-step explanation:
Hope this helps
-3
Suppose the confidence interval (0. 6358, 0. 7532) represents the proportion of Skyline College students who say math is their favorite subject. A. Based on the confidence interval, is it likely 60% of Skyline College students say math is their favorite subject? No, 0. 60 is not contained in the interval Yes, 0. 60 is not contained in the interval Yes, all the interval values are greater than 0. 60 b. Based on the confidence interval, does it appear that more than 60% of Skyline College students say math is their favorite subject? Yes, all the interval values are greater than 0. 60 Yes, 0. 60 is not contained in the interval No, 0. 60 is not contained in the interval c. Based on the confidence interval, does it appear that fewer than 60% of Skyline College students say math is their favorite subject? Yes, all the interval values are greater than 0. 60 No, 0. 60 is not contained in the interval No, all the interval values are greater than 0. 60
Considering the confidence interval, the interpretation regarding wheter 60% of Skyline College students say math is their favorite subject is:
A. No, 0. 60 is not contained in the interval.
B. Yes, all the interval values are greater than 0.60.
C. No, all the interval values are greater than 0.60.
What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.
In this problem, the confidence interval for the proportion of students who say math is their favorite subject is (0.6358, 0.7532).
Since the entire interval is above 0.6, and it does not contain 0.6, the correct answer for each question is given as follows:
A. No, 0. 60 is not contained in the interval.
B. Yes, all the interval values are greater than 0.60.
C. No, all the interval values are greater than 0.60.
More can be learned about confidence intervals at https://brainly.com/question/25890103
$500 is deposited in a bank account paying 6% simple interest, how much interest will the deposit earn in 4 years?
Answer:
It will gain $120, making it $620 in all.
Step-by-step explanation:
A = 500(1 + (0.06 × 4)) = 620
The of a sister is two times of her brother ages. Two years ago, the age sum of the ages was 26 years. Find their ages. k
There were 27 children in a class.
There were twice as many boys as girls.
How many boys were there?
Answer:
18
Step-by-step explanation:
no. of boys=2x
no.of girls=x
total no. of pupils=2x+x
27=3x
27/3=x
x=no.of girls=9
no.of boys =2x=2*9=18
Answer: 18 Boys
Step-by-step explanation: make first 27 divided by 3 equals 9 and then 9 times 2 equal 18 . We multiply by 2 to make it twice
Please solve will mark brainliest
evaluate expression
32+4 X (16 X �) -2
Answer: 64x + 30
Step-by-step explanation:
Since this is an expression, we will simplify. Let � be x.
Given:
32 + 4 * (16 * x) -2
Simplify:
32 + 4(16x) -2
Distribute / multiply:
32 + 64x - 2
Combine like terms
64x + 30