Answer:
BELOW
Step-by-step explanation:
1) C= PD so
a) 12.56
b) 18.84
c) 37.68
2) C=2PR so
a) 2*3.14*2= 12.56
b) 2*3.14*14= 87.92
c) 2*3.14*12= 75.36
3) C=2PR so
a) 56.52
b) 69.08
c) 43.96
4)
a) 31.4
b) 56.52
c) 40.82
Find the equation of the line that passes through (–3, 2) and the intersection of the lines x–2y=0 and 3x+y+5=0.
I need the intersection point of the lines and the equation of the line.
Answer:
[tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0
Step-by-step explanation:
the intersection of x-2y=0 and 3x+y+5 is ([tex]\frac{-10}{7}[/tex];[tex]\frac{-5}{7}[/tex])
=> the line : [tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0
Answer:
[tex]Point \ of \ intersection = (\frac{-10}{7} , \frac{-5}{7})\\\\Equation \ of \ line : y = -\frac{19}{11}x - \frac{35}{11}[/tex]
Step-by-step explanation:
Find intersection of the given lines :
x - 2y = 0 => x = 2y ----------- ( 1 )
3x + y = - 5 -------------------- ( 2 )
Substitute ( 1 ) in ( 2 ) :
3x + y = - 5
3 ( 2y ) + y = - 5
6y + y = - 5
7y = - 5
[tex]y = -\frac{5}{7}[/tex]
Substitute y in ( 1 ) :
x = 2y
[tex]x = 2 \times \frac{-5}{7} = - \frac{10}{7}[/tex]
[tex]Therefore , \ point \ of \ intersection\ is ( -\frac{10}{7}, -\frac{5}{7} )[/tex]
To find the equation of the line passing through ( - 3, 2) and point of intersection :
Standard equation of a line : y = mx + b , where m is the slope, b is the y intercept.
So step 1 : Find slope , m:
[tex]slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] [tex][ \ where \ (x_1, y_ 1 ) = ( -3, 2 ) \ and \ (x_2, y_ 2 ) = ( \frac{-10}{7} , \frac{-5}{7}) \ ][/tex]
[tex]= \frac{\frac{-5}{7}-(2)}{\frac{-10}{7} - (-3)}\\\\= \frac{-5- 14}{-10 + 21}\\\\=\frac{-19}{11}\\\\=-\frac{19}{11}[/tex]
Step 2 : Equation of the line :
[tex](y - y _1) = m (x - x_1)\\[/tex]
[tex](y - 2 ) = -\frac{19}{11}(x -( -3))\\\\(y - 2 ) = -\frac{19}{11} (x+ 3)\\\\y = -\frac{19}{11} (x+ 3) + 2\\\\ y = -\frac{19}{11}x +(-\frac{19}{11} \times 3) + 2\\\\y= - \frac{19}[11}x +(\frac{-57}{11} + 2)\\\\y= - \frac{19}{11}x +(\frac{-57+ 22}{11})\\\\y= - \frac{19}{11}x +(\frac{-35}{11})\\\\[/tex]
What are the domain and range of f(x) = 2|x -4|?
plz i'm in need
Answer:
Domain: (-∞, ∞)
Range: [0, ∞)
Step-by-step explanation:
The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)
The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)
Name the marked angle in 2 different ways.
Answer:
∠XWV ∠UWV
Hope this helps! :)
Classify the following angles
--Answer--
1. acute
2. right
3. acute
4. obtuse
5. straight
--Explanation--
Acute angle = Greater than 0 °, Less than 90°
Right angle = 90°
Obtuse angle = Greater than 90°, less than 180°
Straight angle = 180°
Answer:
A) Acute B) Right C) Obtuse D) Obtuse E) Flat/Straight
Step-by-step explanation:
Acute angles are angles less than 90°
Right angles are angles that are 90°
Obtuse angles are angles that are over than 90°
Flat/Straight angles are 180°
Prove that root 2 as irrational number
. In an enlargement with scale factor 2, which of the following statements is not true?
A. Each length is multiplied by 2
B. Each angle remains the same
C. The shape of the figure does not change.
D. The size of the figure does not change
Answer:
option B , C , D
Step-by-step explanation:
Enlargemet is a rule which transfers an object into an object of the same form by enlarging its size in a given ration.
Remember
If k > 1 , the given object is enlarged. Since the scale fator (k) is 2 and it is greater than 1 the size of the figure enlarges . So according to this definition option B , c and d are incorrect.
only option A satisfies . So out of all these statements only option A is true.
formula :
(x , y) = (kx , ky) ( k means scale factor)
here scale factor is multiplied to the coordinate x and y.
since the scale factor is 2 it means that the length or the value of both x and y coordinate is multiplied by 2.So, it is true . And rest are not true.
find the solutions of the following linear equation 4 x minus 4 upon 2 = 3 upon 2
m^(2)-n^(2)+6n-9
Please factor this out completely and help me
Answer:
m^2-n^2+6n-9
m^2-6n^2-9
Use the number line to find the measure of SV please help
Answer:
8
Step-by-step explanation:
count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length
Answer:
S= -7 to V= 1 so your answer is 8
A positive
B negative
C none
D multiple
Answer:
Step-by-step explanation:
The letter c
A 16 ft ladder leans against the side of a house the top of the ladder is 15 Ft off the ground find x the angle of elevation of the ladder round your answer to the nearest tenth of a degree
Answer:
Step-by-step explanation:
nejsjsj show your working pls
Answer:
[tex] V = U + at[/tex]
Step-by-step explanation:
Given the following data;
Initial velocity = 0 (since the stone is starting from rest).
Final velocity = 32 m/s
Acceleration = g = 10 m/s²
Time = 3.2 seconds
To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;
[tex] V = U + at[/tex]
Where;
V is the final velocity. U is the initial velocity. a is the acceleration. t is the time measured in seconds.Substituting into the formula, we have;
[tex] 32 = 0 + 10*3.2[/tex]
[tex] 32 = 0 + 32 [/tex]
[tex] 32 = 32 [/tex]
Proven: 32 m/s = 32 m/s
The 89 bus comes every 8 minutes. The 368 bus comes every 12 minutes. Both buses are at the same stop at 9 am. At what time will they be at the same stop.
Answer:
9:24 am
Step-by-step explanation:
89 bus = 8 minutes
368 bus = 12 minutes
Find the lowest common multiple(L.C.M) of 8 minutes and 12 minutes
8 minutes = 16, 24, 32, 40, 48
12 minutes = 24, 36, 48, 60
The L.C.M of 8 minutes and 12 minutes is 24 minutes
Both buses are at the same stop at 9 am.
The next time both buses will be at the same stand = 9 am + 24 minutes
= 9:24 am
If the inverse of a function is also a function, then
The function is said to be ….?
Answer: Invertible
Step-by-step explanation:
If inverse of a function exists, then the function is said to be invertible. A unique value exits for each given input.
Inverse of a function can be obtained by expressing the given function in terms of y and then replace y by x.
Please help and thank you!
Answer:
f(x) = 4*e^(0.05*x)
Step-by-step explanation:
We want to find the equation for the graph.
The first thing we can see, is that, as the value of x increases, also does the value of y.
So f(x) increases as x increases.
Then we can discard the options with negative exponents, as those decrease when x increases.
Then the remaining options are:
f(x) = 4*e^(0.05*x)
f(x) = 4*e^(0.5*x)
In the graph, we can see that:
f(5) ≈ 5
So let's check that with the two remaining options:
For the first one we have:
f(5) = 4*e^(0.05*5) = 5.13
While for the second option we have:
f(5) = 4*e^(0.5*5) = 48.73
Then the correct option is the first one:
f(x) = 4*e^(0.05*x)
solve:
2×+3=5
class 7th chapter simple equation
Answer:
x=1
Step-by-step explanation:
2x+3=5
2x=5-3
=2
x= 2÷2
= 1
Answer:
x = 1
Step-by-step explanation:
2x + 3 = 5
2x = 2
x = 1
If this helps you, please mark brainliest!
Have a nice day!
In the decimal number 3.105, the digit in the hundredths place is a 5?
True
False
Answer:
False cuase 5 is in thousands
What is the surface area of this cone?
A) 161pi ft^2
B) 49pi ft^2
C) 112pi ft^2
D) 125pi ft^2
Answer:
I think it's C. cause I multipled 16 by 7
A man was paid basic wage of 2.50. dollars a day.if he worked every day in the month, calculate his basic wage for February
Which of the following best describes the term postulate?
A. A statement that is not officially defined but that is understood to be common sense
B. A precise statement of the qualities of an idea, object, or process
C. A logical arrangement of deductions that leads to the conclusion that a statement is always true
D. A statement that is assumed to be true without proof
Answer:
D. A statement that is assumed to be true without proof
Step-by-step explanation:
A watch that originally cost $110 has been marked down to $88. What was the percent of the markdown ?
12%
10%
25%
20%
Answer:
20%
Step-by-step explanation:
When calculating percents, it is important to divide by the initial value, not the end value. The formula for calculating percents is
[tex]\frac{finalvalue - inititalvalue}{initialvalue} * 100[/tex]
Plugging our values into this formula, we get
[tex]\frac{88-110}{110} * 100 = 20[/tex] as our answer.
In the diagram, the figures are similar. Use proportions to find x.
Answer:
x~11
Step-by-step explanation:
22:17=14:x
22/17=14/x
22x=17*14
22x=238
22x/22=238/22
x=238/22
x=10.818181818181818
x~11
The Happy Platter orders corn tortillas and flourtortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas? Write your ratio 2 ways.
Answer:
One was to write this ratio is lets say you where ordering 100 Happy Platters this mean you would get 200 corn and 300 flour.
another way is lets say you got a Happy Platter and split it in half with some one else you would get 1 corn and 1.5 flour
-BRAINLIEST IF ANSWERED RIGHT-
Given the equation
5+x−12=x−7:
Part A. Solve the equation
5+x−12=x−7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values
x=−4,0,5 to verify your solution to the equation
5+x−12=x−7.
In your final answer, include all of your calculations.
Answer:
Part A:
[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers)
Part B:
[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]
Step-by-step explanation:
Part A:
Given [tex]5+x-12=x-7[/tex], combine like terms:
[tex]x-7=x-7[/tex]
Add 7 to both sides:
[tex]x=x[/tex]
Since this is merely a true statement for all real numbers (reflexive property), this equation is true for any real value of [tex]x[/tex].
Therefore,
[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers).
Part B:
Using arbitrary values [tex]x=-4, x=0, x=5[/tex] as requested in part B, verify:
[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]
Find the quotient.the fraction
8 1/3 divided by 4 1/2
Answer:
[tex]8 \frac{1}{3} \div 4 \frac{1}{2} = \frac{50}{27} = 1.851 = 1 \frac{23}{27} [/tex]
Confused on how to solve this problem, please help and offer a step by step explanation
Answer:
7x+5=180
7x=175
x=25
Hope This Helps!!!
Factorx^2 + x - 6, asappp
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {x}^{2} + x - 6[/tex]
➼[tex] \: {x}^{2} + 3x - 2x - 6[/tex]
Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have
➼[tex] \: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )[/tex]
Taking the factor [tex](x+3)[/tex] as common,
➼[tex] \: ( \: x - 2 \: )( \: x + 3 \: )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
chung minh phan so sau toi gian : 21n+4/14n+3
Step-by-step explanation:
Cog, KY tj, kyzkysiyso6doydi6wkyx co70 kysu5, 5i
what are the steps to this?
Answer:
B=112
Step-by-step explanation:
Angle B is on the same line as angle A(68). They would need to combine for a total of 180 degrees. So 68-180=112
Answer:
b = 112°
Step-by-step explanation:
The two angles from a straight line. so, they add to 180° .
b + 68° = 180°
subtract 68° from each side
b + 68° - 68° = 180° - 68°
b = 112°
Out of 100 students,80 passed the science 71 the mathematics, 10 failed the both subjects and 7 did not appear the an examination.find the number of student who passed the both subject by representing th e above information in a Veen- diagram
Answer:
ok so first we add 10 plus 7 together since if you don't show up you fail
which is 17
so out of 100 students 17 failed both
now we subtract 71 from 80 to get 9
so we add that together with 17 so
17+9=26 so 26 students failed both
Hope This Helps!!!
