Answer:
see below
Step-by-step explanation:
The formula for a geometric sequence is
an = a1 * r^ (n-1) where a1 is the first term and r is the common ratio
The common ratio is found by taking the second term and dividing it by the first term
a) 1, 2,4.........
a1 = 1
r = 2/1 = 2
an = 1 * ( 2) ^ (n-1)
Let n = 4
a4 = 1 * 2^ (4-1) = 1 * 2^3 = 8
b)50, 20, 8.........
a1 = 50
r = 50/20= 5/2
an = 50 * ( 5/2) ^ (n-1)
Let n = 4
a4 = 50 * (5/2)^ (4-1) = 50 * (5/2)^3 = 3125/4
Let P be a non zero polynomial such that P(1+x)=P(1−x) for all real x, and P(1)=0. Let m be the largest integer such that (x−1) m divides P(x) for all such P(x). Then m equals
Answer:
m = 0, P(3)/2, P(4)/6, P(5)/12 ..........
Step-by-step explanation:
For non zero polynomial, that is all real x as follows:
x = 1, 2, 3, 4 ............
Using, P(1 + x) = P(1 - x)
For x = 1: P(2) = P(0) = 1
For x = 2: P(3) = P(-1) = 2
Hence, P(x)/m(x - 1) can be solved as follows:
When = 1
P(2)/0 = 1
∴ m = 0
When x = 2
P(3)/m = 2
∴ m = P(3)/2
When x = 3
P(4)/2m = 3
∴ m = P(4)/6
When x = 4
P(5)/3m = 4
∴ m = P(5)/12
Hence, m = 0, P(3)/2, P(4)/6, P(5)/12......
Express the following as decimals step by step. 3×10+4×1+7×1/10
Answer:
34.7
Step-by-step explanation:
First Step: Multiply.
3 × 10 = 30
4 × 1 = 4
7 × 1/10 = 7/10
Second step: Add.
30 + 4 + 7/10= 347/10
Final step: Make it a decimal.
347 ÷ 10 = 34.7
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Hi my lil bunny!
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[tex]3\times 10+4\times 1+7\times 1/10[/tex]
[tex]= \frac{347}{10}[/tex] (Decimal: 34.7)
Step by Step Explanation.
[tex](3) (10) + (4) (1) + \frac{(7)(1)}{10} \\= 30 + (4) (1) + \frac{(7)(1)}{10} \\= 34 + \frac{(7)(1)}{10} \\= 34 + \frac{7}{10} \\= \frac{347}{10}[/tex]
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If this helped you, could you maybe give brainliest..?
❀*May*❀
in a polynomial function of degree 5, what is the maximum number of extreme that could be possible? (please explain with the answer if possible!)
Answer:
4 maximum extrema
Step-by-step explanation:
5th degree means that it can change direction 5 times, therefore creating a maximum of 4 extrema
A trader buys tea for $1200 and sells it for $1500. Per sack of tea he makes a profit of $50. How many sacks of tea did he have?
Answer:
6 sacks
Step-by-step explanation:
Buying Price = $1200
Selling Price = $1500
Total profit = Selling price - Buying Price
= $1500 - $1200
= $300
Given that the profit on each sack of tea is $50
Number of Sacks of Tea = Total Profit ÷ profit per sack
= $300 ÷ 50
= 6 sacks
The number of sacks of tea he has is 6.
The first step is to determine the total profit earned by the trader. Profit is the selling price less the cost price.
Profit = selling price - cost price
$1500 - $1200 = $300
The second step is to divide the total profit by the profit made per sack of tea.
Number of sacks = $300 / $50 = 6
To learn more about division, please check: https://brainly.com/question/194007
What is the y-intercept of the line passing through the point (9,-7) with a slope of -1/8 ?
Answer:
-47/8.
Step-by-step explanation:
If the line has a slope of -1/8, that means the equation y = mx + b will be y = -1/8x + b.
In this case, we are given a point: (9, -7). That means that x = 9 and y = -7.
-7 = (-1/8)(9) + b
b - 9/8 = -7
b = -56/8 + 9/8
b = -47/8 = -5.875 = -5 and 7/8, which is your y-intercept!
Hope this helps!
Please answer question now
Answer:
3x3÷2= 4.5cm^2
The formula is 1/2×base×slanted height
Step-by-step explanation:
Answer:
150 in²Step-by-step explanation:
V = ¹/₃•(¹/₂•10•9)•10 = ¹/₃•45•10 = 15•10 = 150 in²
BRAINLIEST, THANKS AND 5 STARS IF ANSWERED BOTH CORRECTLY
Which set of points represents a function?
A. (-5, -4), (-4, -3), (-3, -2), (-2, -1)
B. (-6, 2), (6, -2) (-5, 3), (-5, -3)
C. (8, -1), (8, 2), (8, -3), (8, 4)
D. (1, 3), (-4, 4), (3, -2), (1, 0)
Which set of points represents a function?
A. (2, -5), (4, 0), (7, 0), (2, 5)
B. (-1, 4), (2, -4), (-1, -4), (-2, 4)
C. (-5, -1), (-2, -1), (1, -1), (4, -1)
D. (3, -5), (3, -1), (3, 2), (3, 4)
Answer:
Numer 1
A) (-5, -4), (-4, -3), (-3, -2), (-2, -1) Is a function
Number 2
C) (-5, -1), (-2, -1), (1, -1), (4, -1) is a function
in a function, all elements in domain "x" should have a pre-image "y" and they should be unique (one x can have only one value of y, but more than one x can have same same value of y) for all ordered pair (x,y)
it's not clearly possible to tell without knowing the actual set but with given information,
1. A
2. C
Please answer this question now
Answer:
98.1km²
Step-by-step explanation:
The name of the Triangle in this question is: WXV
In the question, we have:
Angle W = ? Unknown
Angle X = 119°
Angle V = 34°
Side w =?
Side x = 26km
Side v = ?
Step 1
We have to find the missing third angle = Angle W
Sum of angles in a triangle = 180°
= Angle W = 180° - (119 + 34)°
= 180° - 153°
Angle W = 27°
Step 2
Find the sides w and v using the sine rule
Sine rule =
a/ sin A = b/ Sin B
Hence for triangle WXV
w/ sin W = x/ sin X = v/ sin V
We have the following values
Angle W = 27°
Angle X = 119°
Angle V = 34°
We are given side x = 26km
a) Finding side w
w/ sin W= x/ sin X
w/sin 27 = 26/sin 119
Cross Multiply
sin 27 × 26 = w × sin 119
w = sin 27 × 26/sin 119
w = 13.49587km
w = 13.5km
b) Finding side v
x / sin X= v/ sin V
26/ sin 119 = v/sin 34
Cross Multiply
sin 119 × v = 26 × sin 34
v = sin 34 × 26/sin 119
v = 16.62324km
v = 16.62km
Step 3
Detemine the area of triangle WXV
We make use heron formula
= √s(s - w) (s - x) (s - v)
Where s = w + x + v/ 2
s = (13.5 + 26 + 16.62)/2
s = 56.12/2
s = 28.06
Area of the triangle = √28.06× (28.06 - 13.5) × (28.06 - 26 ) × (28.06 - 16.62)
Area of the triangle = √9628.137559
Area of the triangle = 98.123073530337km²
Approximately to the nearest tenth =98.1km²
twice x,plus 8,is the same as -10
Answer:
greater than or equal to -36
Step-by-step explanation:
2x >= -36-16
2x >= -52
x >= -26
Answer:
x = -9
Step-by-step explanation:
2x + 8 = -10
2x = -8 -10
2x = -18
x = -9
if a + b + c = 9 and ab + bc + ca = 26 find the value of a^2 + b^2 + c^2
[tex](a+b+c)^2=a^2 + 2 a b + 2 a c + b^2 + 2 b c + c^2\\a^2+b^2+c^2=(a+b+c)^2-2ab-2ac-2bc\\a^2+b^2+c^2=(a+b+c)^2-2(ab+ac+bc)\\\\a^2+b^2+c^2=9^2-2\cdot26=81-52=29[/tex]
The sum of ages of Noi's and Noy's is 26 years. The different between four times Noi's age and two times Noy's age is 28 years. Find the age of Noi and Noy.
Write as an equation
Let the age will be x
4x+2x-28 years
6x-28
x-28 by 6 -4.66
SO THE ANSWER IS 4.66
Answer:
Noi = x
Noy = y
x+y = 26 ... (1)
4x-2y= 28 ... (2)
Solve:
x+y= 26
x= 26-y (keep it)
4x-2y= 28
4(26-y)-2y=28
104-4y-2y= 28
-6y= 28-104
-6y=-76
y= 12,6 (12 years 6 mouths)
x+y= 26
x + 12.6 = 26
x= 26-12.6
x= 13, 4 ( 13 years 4 mouths)
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
A. 10.5 cm
B. 3.4 cm
C. 8.5 cm
D. 12 cm
Answer:
12 cm is the right answer pls mark me brainliest
The height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles is 12 cm.
What is Area of Triangle?The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
What is Heron's formula?Heron's formula, formula credited to Heron of Alexandria (c. 62 ce) for finding the area of a triangle in terms of the lengths of its sides. In symbols, if a, b, and c are the lengths of the sides:
Area = √s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.
Given:
Three sides are: 15cm, 25 cm and 2 cm
Now, Using Heron's formula
semi-perimeter= (25+ 20 + 15)/2
s= 30 cm
Now,
Area of triangle
=√s(s-a)(s-b)(s-c)
=√30* 5 * 10* 15
=√5*2*3*5*2*5*3*5
=5*5*2*3
=150 cm²
Again, area of triangle= 1/2* b* h
150= 1/2* 25* x
12cm= x
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5-5√3/2-√11 rationalize
Step-by-step explanation:
[tex] \frac{5 - 5 \sqrt{3} }{2 - \sqrt{11} } [/tex]
To rationalize the surd multiply both the numerator and the denominator by
2 + √11
That's
[tex] \frac{5 - 5 \sqrt{3} }{2 - \sqrt{11} } \times \frac{2 + \sqrt{11} }{2 + \sqrt{11} } [/tex]
Multiply the numerators and the denominator separately
That's
[tex] \frac{(5 - 5 \sqrt{3} )(2 + \sqrt{11} )}{(2 - \sqrt{11})(2 + \sqrt{11} ) } [/tex]
Simplify
[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5\sqrt{33} }{?} [/tex]
[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33} }{4 - 2 \sqrt{11} + 2 \sqrt{11} - 11} [/tex]
[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33}}{4 - 11} [/tex]
[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33}}{ - 7} [/tex]
We have the final answer as
[tex] - \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33}}{7} [/tex]
Hope this helps you
WILL MARK BRAINLIEST!!!! PLZ HELP!!! A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height f(x), in feet, of the food packet at different times x, in seconds: Use the graph to determine the domain of f(x) for all viable x values, based on the context. x ≤ 6000 0 ≤ x ≤ 20 −20 ≤ x ≤ 20 All real numbers
Answer:
[tex]\large \boxed{\mathrm{All \ real \ numbers}}[/tex]
Step-by-step explanation:
The domain of a function is all possible values of x for which the function is real and defined.
[tex]f(x)=-15x^2 +6000[/tex]
The function has no undefined points nor any restrictions on the value of x.
[tex]- \infty < x < \infty[/tex]
The domain of the function is all real numbers.
Answer:
All real numbers
Step-by-step explanation:
The domain is the set of all possible values for x.
f(x) = -15x² + 6000
There are no restrictions on the value of x.
The domain is all real numbers.
If AC = 40, find the length of JK.
Answer:
JK = 24
Step-by-step explanation:
Δ BKJ and Δ BCA are similar triangles and ratios of corresponding sides are equal, that is
[tex]\frac{JK}{AC}[/tex] = [tex]\frac{BK}{BC}[/tex] , substitute values
[tex]\frac{JK}{40}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )
5JK = 120 ( divide both sides by 5 )
JK = 24
the triangles are all similar, because they have proportional sides and equal angles.
if you assume the smallest, equal part of side to be x
the biggest triangle has "5 parts" so BC=5x and BK has 3 parts so BK=3x .
since they're similar, ratio of their corresponding sides is constant or equal.
[tex] {BK\over BC}={JK \over AC}[/tex]
BK/BC=3/5
and AC=40
so JK = 40*3/5=24
When you roll a 6-sided cube, numbered 1 to 6, the probability of rolling a 2 is . This is
an example of:
a) an experimental probability
b) theoretical probability
c) subjective reasoning
d) assumption
Answer:
When you roll a 6-sided cube, numbered 1 to 6, the probability of rolling a 2 is 1:6. This is an example of theorectical probability.
Step-by-step explanation:
The probability of rolling a 2 on a 6-sided dice is
1
6
The probability of rolling two 2s on two 6-sided die is, by the multiplication principle,
1
6
×
1
6
=
1
36
Subjective is something that is based on personal opinion, so I think the answer is actually theoretical probability! Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.
Hope this helps, have a good day :)
(brainliest would be appreciated?)
Shane biked 1 mile less than three times the number of miles Lissette biked. Shane biked a total of 7 miles. Write an equation to determine how many miles Lissette biked.
7 = 3x − 1
x − 1 = 3(7)
x over seven = 3(1)
7 + 3x = 1
Answer
Equation : x + 1 + 3x = 7
Miles Lissette biked : 3/2 miles
Step-by-step explanation:
Step 1: Determine the total number of miles biked.
From my understanding. 7 miles is the total number of miles biked by both.
Step 2: Assume the values
Miles Lissette biked = x
Miles Shane biked = 1 + 3x
Step 3: Add miles biked by Lissette and Shane which will be equal to total miles.
Equation for miles Lissette biked: x + 1 + 3x = 7
4x + 1 = 7
x = 6/4
Step 4: Simplify
x = 6/4
x = 3/2
Therefore, the equation for miles Lissette biked is x + 1 + 3x = 7 and Lissete biked for 3/2 miles.
Hope it helped if yes mark me BRAINLIEST
Tysmm
Answer:
7 = 3x - 1
Step-by-step explanation:
Miles Shane biked = y
Miles Lissette biked = x
The equation is
(x ⋅ 3) - 1 = y
And we know y = 7, so
(x ⋅ 3) - 1 = 7
3x - 1 = 7
a rectangular garden is fenced on all sides with 128 feet of fencing. The garden is 4 feet longer than it is wide. Find the length and width of the garden
Answer:
Length = 34 feet
Breadth = 30 feet
Step-by-step explanation:
Perimeter= 128 ft
Let the breadth be = [tex]x[/tex]
Let the length be = [tex]x+4[/tex]
∴by the problem ,
2(length+breadth)= perimeter
[tex]2(x+4+x)=128\\2(2x+4)=128\\4x+8=128\\4x=128-8\\4x=120\\x=120/4\\x=30[/tex]
Therefore, length of the garden = 30+4= 34 feet
breadth of the garden = 30 feet
Which of the functions below is not exponential or logarithmic?
Answer:
f(x) = 5x² + 3
Step-by-step explanation:
Exponential Function: [tex]a(b)^x+c[/tex]
Logarithmic Function: [tex]alog_bx+c[/tex]
5x² + 3 is a quadratic function. Therefore, it is not an exponential or logarithmic function and is incorrect.
log₅x is a logarithmic function. Therefore, it is correct.
5log₃x + 3 is a logarithmic function. Therefore, it is correct.
5ˣ + 3 is an exponential function. Therefore it is correct.
Can somebody please help me on tjis
Answer:
Segment addition postulate
Step-by-step explanation:
It’s the Segment addition postulate.
ab+bc=ac
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds? 1% 4% 11% 44%
Answer:
4%
Step-by-step explanation:
There are ₁₃C₃ ways to choose 3 diamonds from 13.
There are ₃₉C₁ ways to choose 1 non-diamond from 39.
There are ₅₂C₄ ways to choose 4 cards from 52.
Therefore, the probability is:
₁₃C₃ ₃₉C₁ / ₅₂C₄
= 286 × 39 / 270,725
≈ 0.04
The approximate probability that exactly three of the cards are diamonds is 4%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We are given that standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades.
Since we can see that there are ₁₃C₃ ways to choose 3 diamonds from 13.
₃₉C₁ ways to choose 1 non-diamond from 39.
₅₂C₄ ways to choose 4 cards from 52.
Therefore, the probability is:
₁₃C₃ ₃₉C₁ / ₅₂C₄
= 286 × 39 / 270,725
≈ 0.04
Therefore, the answer could be 4 percent.
Learn more about probability here;
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Solve this problem... Really urgent
Answer:
[tex] \boxed{\sf Time \ taken = 15 \ minutes} [/tex]
Given:
Initial speed (u) = 65 km/h
Final speed (v) = 85 km/h
Acceleration (a) = 80 km/h²
To Find:
Time taken for car to achieve a speed of 85 km/h in minutes
Step-by-step explanation:
[tex]\sf From \ equation \ of \ motion:[/tex]
[tex] \boxed{ \bold{v = u + at}}[/tex]
By substituting value of v, u & a we get:
[tex] \sf \implies 85 = 65 + 80t[/tex]
Substract 65 from both sides:
[tex] \sf \implies 85 - 65 = 65 - 65 + 80t[/tex]
[tex] \sf \implies 20 = 80t[/tex]
[tex] \sf \implies 80t = 20[/tex]
Dividing both sides by 80:
[tex] \sf \implies \frac{ \cancel{80}t}{ \cancel{80}} = \frac{20}{80} [/tex]
[tex] \sf \implies t = \frac{2 \cancel{0}}{8 \cancel{0}} [/tex]
[tex] \sf \implies t = \frac{ \cancel{2}}{ \cancel{2} \times 4} [/tex]
[tex] \sf \implies t = \frac{1}{4} \: h[/tex]
[tex] \sf \implies t = \frac{1}{4} \times 60 \: minutes[/tex]
[tex] \sf \implies t = 15 \: minutes[/tex]
So,
Time taken for car to achieve a speed of 85 km/h in minutes = 15 minutes
PLS HELP I WILL GIVE BRAINLIST AND A THANK YOU!!!!! :)
Answer:
A
Step-by-step explanation:
Both angles together are supplementary, or they add up to 180 degrees.
(3x+12)+x=180 degrees
Answer:A. (3x+12)+x=180
Step-by-step explanation:
fill in the table with whole numbers to make 2.8 in three different ways i do not get this qestion can you help me
Answer: what table? u need to add an attachment
Step-by-step explanation:
The table containing whole number express 2.8 as the sum or difference.
To express 2.8 as the sum or difference of whole numbers.
There are three different ways to do it:
1. As a sum of whole numbers:
2 + 0.8 = 2.8
2. As a difference of whole numbers:
4 - 1.2 = 2.8
3. Another way as a sum of whole numbers:
1 + 1.8 = 2.8
The table will be:
Representation Whole Number 1 Whole Number 2 Result
1 2 0.8 2.8
2 4 1.2 2.8
3 1 1.8 2.8
As each row represents a different way to represent the number 2.8 using whole numbers.
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write -7.08 as a mixed number or fraction in a simplest from
Answer:
7 2/5
Step-by-step explanation:
7.08 to improper fraction:
708/100
= 7 2/25
Jorge’s monthly bill from his Internet service provider was $25. The service provider charges a base rate of $15 per month plus $1 for each hour that the service is used. Find the number of hours that Jorge was charged for that month.
Answer:
10 hours for the month
Step-by-step explanation:
What you know: The total amount Jorge was charged for the month was $25
The base rate is $15
He gets charged $1 per each hour
Setting it up:
15+1h=25
(the 15 is the base rate, plus the 1 dollar per hour (h) which both add to the total of 25 dollars for the month)
Subtract 15 from both sides of the equation to get your variable by itself
1h=10
then divide the 1 on both sides to get h (hours) by itself
h=10
And there's your answer, 10 is the number of hours that Jorge was charged for the month
Hopefully this helped :))
Answer:
10
Step-by-step explanation:
$25 - $15 = $10
and its $1 per hour so the answer is 10hrs
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (−2) marks are awarded for every incorrect answer and 0 for questions not attempted.
Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?
Answer:
0 points
Step-by-step explanation:
So first we see that she gets 2 questions correct,
2 * 5 = 10
Then we see that she gets 5 questions wrong,
5 * -2 = -10
Then we see that she doesn't attempt three questions,
3 * 0 = 0;
Now we add up the points,
10 - 10 + 0 = 0 points
Answer:
Heena gets 2 correct and 5 incorrect. She attempts only 7 questions so for the remaining 3 questions she will score zero marks.
So total marks scored by Heena is 5×2−5×2+0 i.e 0marks
Step-by-step explanation:
Drag each tile to the correct box.
Answer:
The order is 4) → 5) → 6) → 7) → 2) → 1) → 3)
Please find diagram with the arrangements
Step-by-step explanation:
The horizontal width of an hyperbola
For
1) [tex]\dfrac{(y - 11)^2}{7^2} -\dfrac{(x - 2)^2}{6^2} = 1[/tex]
h = 2, k = 11
The widths are;
Horizontal (h - a, k) to (h + a, k) which is (2 - 7, 11) to (2 + 7, 11) = 14 units wide
(h, k - b) to (h, k + b) which is (2, 11 -6) to (2, 11 + 6) = 12 units wide
2)
[tex]\dfrac{(y - 1)^2}{5^2} -\dfrac{(x - 7)^2}{12^2} = 1[/tex]
h = 7, k = 1
(h - a, k) to (h + a, k) which is (7 - 5, 1) to (7 + 5, 1) = Horizontal width 10 units wide
(h, k - b) to (h, k + b) which is (7, 1 -12) to (7, 1 + 12) = 24 units wide
3) [tex]\dfrac{(x - 6)^2}{6^2} -\dfrac{(y + 1)^2}{3^2} = 1[/tex]
h = 6, k = -1
a = 8, b = 3
The widths are;
(6 - 8, -1) to (6 + 8, -1) Horizontal width = 16
(6, -1 - 3) to 6, -1 + 3) width = 6
4) [tex]\dfrac{(x - 4)^2}{2^2} -\dfrac{(y + 2)^2}{5^2} = 1[/tex]
h = 4, k = -2, a = 2, b = 5
(4 - 2, (-2)) to (4 + 2, (-2)) Horizontal width = 4
(4, -2 - 5) to (4, -2 + 5) width = 10
5) [tex]\dfrac{(y + 5)^2}{2^2} -\dfrac{(x + 4)^2}{3^2} = 1[/tex]
h = -4, k = -5, a = 2, b = 3
(-4 - 2, (-5)) to (-4 + 2, (-5)) Horizontal width = 4
(-4, -5 - 3) to (4, -5 + 3) width = 6
6) [tex]\dfrac{(y + 1)^2}{2^2} -\dfrac{(x - 1)^2}{9^2} = 1[/tex]
h = 1, k = -1, a = 2, b = 9
(1 - 2, (-1)) to (1 + 2, (-1)) Horizontal width = 4
(1, -1 - 9) to (1, -1 + 9) width = 18
7) [tex]\dfrac{(x + 7)^2}{4^2} -\dfrac{(y - 9)^2}{9^2} = 1[/tex]
h = -7, k = 9, a = 4, b = 9
(-7 - 4, 9) to (-7 + 4, 9) Horizontal width = 8
(-7, 9 -9) to (-7, 9 + 9) width = 18
ys is the perpendicular bisector of xz. What is the length of Xs if xz is 18 inches long?
Answer:
XS is 9 inches long.
Step-by-step explanation:
Given that
YS is the perpendicular bisector of XZ.
Length of XZ = 18 inches
To find:
Length of XS = ?
Solution:
First of all, let us learn about the perpendicular bisector.
Perpendicular bisector of a line AB is a line PQ, which divides the line AB in two equal parts and is at an angle of [tex]90^\circ[/tex] with the line AB.
If B is on the line PQ, then [tex]BP = BQ = \frac{PQ}{2}[/tex] and
[tex]\angle ABP = \angle ABQ = 90^\circ[/tex]
Applying the above property in our given question.
Kindly refer to the attached image for the given dimensions.
S is on the line XZ.
[tex]XS = SZ = \frac{XY}{2} = \dfrac{18}{2} \\\Rightarrow \bold{XS = 9\ inches}[/tex]
So, the answer is XS is 9 inches long.
Simplify 7.5 + n + 9.63.
Answer: Hi!
The only thing we're able to do to simplify this equation is combine our like terms. We have two like terms in the equation: 7.5 and 9.63.
7.5 + 9.63 = 17.13
Our equation now looks like this:
n + 17.13
We have nothing left to simplify, so we're done!
Hope this helps!
