[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use distance formula :
[tex]\qquad \sf \dashrightarrow \: \sqrt{(x - 1) {}^{2} + (2 - 5) {}^{2} } = 5[/tex]
[tex]\qquad \sf \dashrightarrow \: {(x - 1) {}^{2} + ( - 3) {}^{2} } = 5 {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) {}^{2} + 9 = 25[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) {}^{2} = 16[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) = 16[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) = \pm4[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 5 \: \: or \: \: - 3[/tex]
please answer this question
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Before answering the given question, you should know the difference between polygon and regular polygon.
Polygon :- It is closed figure constitute of straight line having different measurements and also having varies angles. Regular polygon :- It is also a closed figure constitute of straight lines which having equal measuresment and all the angles of the given polygon are equal .There are different types of polygon based on the sides :-
A polygon having 3 sided called triangle ,having 4 sides called quadrilateral ,having 5 sides pentagon and so on. Let's Begin :-I have thought to make a 4 side polygon that is quadrilateral.
Steps of construction :-
Step - 1 :- Draw a 5 cm line AB horizontally Step - 2 :- Then , From a point B, Draw a Vertical line of 5 cm and named it BC Step - 3 :- Then, From a point C, Draw a horizontal line of 5 cm and named it CD Step - 4 :- Now, join the line AD Step - 5 :- Measure all the angles form by the 4 sides of the quadrilateral.Result :- All the angles are equal that is 90° each.
Conclusion :- The above figure is square as it is having equal sides and angles.
Now, we have to find the sum of the angles of the polygon :-Here,
All angles are equal in measure 90°Therefore,
The sum of the angles of the given polygon
[tex]\sf{ = 90{\degree} + 90{\degree} + 90{\degree} + 90{\degree} }[/tex]
[tex]\sf{ = 180{\degree} + 90{\degree} + 90{\degree} }[/tex]
[tex]\sf{ = 270{\degree} + 90{\degree} }[/tex]
[tex]\sf{ = 360{\degree} }[/tex]
Hence, The sum of the angles of the above polygon is 360° .
What is the equation of a hyperbola with a = 1 and c = 9? Assume that the transverse axis is horizontal.
Answer:
Step-by-step explanation:
The general formula for a horizontal hyperbola :
[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]
Given: a = 1 we know a² = 1 ,and that c = 9 so we know c² = 9² = 81
We also know that the relation between a, b, c for a hyperbola is c²= a²+b²
c²= a²+b², substitute what we know
81 = 1 +b², subtract 1 from both sides of the equation
80 = b²
The equation of our hyperbola is:
[tex]\frac{x^{2} }{1 } -\frac{y^{2} }{80 } =1[/tex] or [tex]x^{2} -\frac{y^{2} }{80} =1[/tex]
Six times a number increased by 4 is no less than 50.
Which inequality represents this statement?
1: 6x+4≤50
2: 6x+4<50
3: 6x+4≥50
4: 6x+4>50
Answer:
3.
Step-by-step explanation:
For this question, you just have to pick apart what "no less than" means. If I say I can have no less than 2 apples to eat, that's me saying that that's the minimum number I can have, but 2 apples is also still fine. In this case, that minimum is 50 but we can still have over 50. So, 6x+4 can be greater than or equal to 50.
NOW I NEED HELP NOW PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Mya is redecorating her bedroom. The room is in the shape of right rectangular prism.
The dimensions of the room are: 12 feet in length by 14 feet in width by 8 feet in height.
She plans to cover the floor with tile. The cost of the tile is $4 per square foot.
She plans to cover the walls and the ceiling with paint. Each container of paint costs $16 and can cover 146 ft².
What is the total cost of the tile flooring and paint needed for this room?
Drag and drop the responses to correctly complete these sentences.
The total square feet of flooring needed is ____ and the flooring cost will be ____
The total square feet that will need to be painted is ____ and the paint cost will be ____
The total cost of the tile flooring and paint needed for this room is ____
Answer: took the test and the answers are at the bottom. cheers mate :)
Step-by-step explanation:
Single post math redo question
Answer:
See attached graph
Step-by-step explanation:
We need to convert the polar coordinates into Cartesian coordinates using the rules [tex]x=r\:cos\theta[/tex] and [tex]y=r\:sin\theta[/tex] (see table in attached file).
The converted points will start to resemble a circle with a horizontal pole and a diameter of 4, so by connecting the points, we get our equation [tex]r=4\:cos\theta[/tex].
please help please help please
light and heat
Step-by-step explanation:
all stars in general produce light and heat
On a recent math assignment consisting of 32 problems, Wendy had 5 application problems, and the
rest involved only computation. What percent of the problems were only computation?
Answer:
84.375%
Step-by-step explanation:
Total no. of computation problem=32-5=27
Total no. problems in the assignment=32
=) per%= 27/32×100%=84.375%
PLS MARK ME AS BRAINLIEST
Find the volume of the prism.
Answer:
I'm guessing it is 12000
Step-by-step explanation:
let me now if it is wrong
[tex] \Large\tt{ANSWER}[/tex]
[tex]\LARGE \tt{12000 \: cm^3 }[/tex]
[tex]\Large \tt{SOLUTION}[/tex]
Formula of Rectangular PrismVolume = Length × Width × Height
Volume = Length × Width × HeightVolume = 60 cm ×20 cm × 10 cm[tex]\Large \tt{12000 \: cm^3 }[/tex]For More Information, Visit this Link.
→ What is Volume:
brainly.ph/question/6286323Which equation does not represent a quadratic function?
Y = (x + 3)^2
y = 3x^2
y = 6x^2 - 1
y = x + 5
[tex]\text{A quadratic function is in the form of } ~ f(x)=ax^2 +bx+c.\\\\\\y=x+5 ~ \text{is linear so it is not in a form of quadratic function.}[/tex]
Natalie has 112 boxes she left 105 five boxes and she found 20 boxes how much dose she have?
Answer:
27 boxes.
Step-by-step explanation:
This situation can be represented by the equation:
(112 - 105) + 20 = ?
First we subtract 105 from 112:
112 - 105= 7
Now add 20.
7 + 20 = 27
Natalie has 27 boxes now.
Which fraction equals 29 }}16 ?
Darron wants to send a package to his mother for her birthday. At Box-r-us, they have boxes that come in three different lengths, four different widths and five different heights. At ship to go they have have boxes that comes in six different lengths two different widths and seven different heights. The number of boxes that box r us has is ——— ship to go
Answer:
less than
Step-by-step explanation:
At Box-r-us, they have 3*4*5=60 different boxes.
At Ship to go they have 6*2*7=84 different boxes
Therefore the number of boxes that box r us has is less than the number of boxes that Ship to go has.
What does using the degrees of freedom in a sample correct for? possible bias between the alternative and null hypotheses possible bias between the sample and the population possible bias between the standard deviation and variance possible bias between the standard deviation and the mean
In Statistics and mathematics, the degrees of freedom in a sample are used to correct: A. possible bias between the alternative and null hypotheses.
What is a null hypothesis?A null hypothesis ([tex]H_0[/tex]) can be defined as the opposite of an alternate hypothesis ([tex]H_a[/tex]), and it asserts that two (2) possibilities are the same.
In In Statistics and mathematics, the test statistics of a given sample is calculated with this formula:
[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.is the standard deviation.n is the sample size.Also, the degrees of freedom in a sample are used to correct a possible bias that exists between the alternative and null hypotheses.
Read more on null hypothesis here: https://brainly.com/question/14913351
Can someone solve this question to me.i will mark brainliest. :)
Answer:
Parent Function: [tex]y=\sqrt{x}[/tex]Horizontal shift: right 3 unitsVertical shift: up 3 unitsReflection about the x-axis: noneVertical strech: strechedStep-by-step explanation:
assume that [tex]y=\sqrt{x}[/tex] is [tex]f(x)=\sqrt{x}[/tex] and [tex]y=\sqrt{-2x+6}+3[/tex] is
[tex]g(x)=\sqrt{-2x+6}+3\\ f(x)=\sqrt{x} \\g(x)=\sqrt{-2x+6}+3[/tex]
The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.
[tex]y=a\sqrt{x-h}+k[/tex]
factor a 1 out of the absolute value to make the coefficient of x equal to 1
[tex]y=\sqrt{x}[/tex]
factor a 2 out of the absolute value to make the coefficient of x equal to 1
[tex]y=\sqrt{2}\sqrt{x-3}+3[/tex]
find a, h and k for [tex]y=\sqrt{2}\sqrt{x-3}+3[/tex]
[tex]a=1.41421356\\ h=3\\k=3[/tex]
the horizontal shift depends on the value of h when [tex]h > 0[/tex], the horizontal shift is described as:
[tex]g(x)=f(x+h)[/tex] - the graph is shifted to the left h units
[tex]g(x)=f(x-h)\\[/tex] - the graph is shifted to the right h units
the vertical shift depends on the value of k
arrange in descending order
Answer:
7 / 16, 3 / 7, 1 / 5
Step-by-step explanation:
1 / 5 = 0.2
3 / 7 = 0.428
7 / 16 = 0.4375
In descending order,
0.4375, 0.428, 0.2
Hence the answer is 7 / 16, 3 / 7, 1 / 5
PLEASE HELP ME WILL GIVE BRAINLIEST
Answer:
1 3/4, 0
Step-by-step explanation:
You have to go 1 3/4 to the right and 0 up.
If x = 12 cm, what is the volume of the prism?
cm3
Answer:
4320
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Please help i really dont like iready and im really confused. thank you!
Answer:
15 inches cubed
Step-by-step explanation:
length 2 1/2 in
width 1 1/2 in
height 4 in
V= = l x w x h
V = 2 1/2 x 1 1/2 x 4
60/4 = 15
If we randomly select 2 students at a time and record their drinking habits, what is the probability that both students drink
Answer:
1 liter
Step-by-step explanation:
x2by 100%8hdofux27675 868*uhf
"The sum of a number and 20 is multiplied by 6 and the result is 26."
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Consider the number as x
let's solve ~
[tex]\qquad \sf \dashrightarrow \:6(x + 20) = 26[/tex]
[tex]\qquad \sf \dashrightarrow \:6x + 120 = 26[/tex]
[tex]\qquad \sf \dashrightarrow \:6x = - 120 + 26[/tex]
[tex]\qquad \sf \dashrightarrow \:6x = -94[/tex]
[tex]\qquad \sf \dashrightarrow \:x = - 94 \div 6[/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{ - 47}{3} [/tex]
・ ．━━━━━━━†━━━━━━━━━．・
Answer:
[tex](x + 20) 6 = 26[/tex]
[tex]6x + 120 = 26[/tex]
[tex]6x = 26 - 120[/tex]
[tex]6x = - 94[/tex]
[tex] \displaystyle \: x = \frac{ - 94}{6} [/tex]
[tex] \displaystyle{x = \frac{ - 47}{3} }[/tex]
[tex]\red {\rule{35pt}{2pt}} \green{ \rule{35pt}{2pt}}\orange{ \rule{35pt}{2pt}}\pink{ \rule{35pt}{2pt}}\blue{ \rule{35pt}{2pt}}\purple{ \rule{35pt}{2pt}}\red{ \rule{35pt}{2pt}}[/tex]
[tex] \bold{ \displaystyle{x = - \frac{47}{3} }}[/tex]
If y varies inversely as x, and y=16 when x=4, find y when x=10
Answer:
40
Step-by-step explanation:
you have to multiply x by 4 to get y when x=4 and y=16. so if x=10, then you have to multiply what x is (10) by 4 because there is a common ratio.
hope this helps!! please give brainliest!!!!!!
The area of a rectangular field is 1.12×10^45 square feet. If the length of the field is 7×10^11 feet, and the width of the field can be written as 1.6×10x feet, what is the value of x?
Answer:
x = 10^34
Step-by-step explanation:
length × width = area
area/length = width
width = (1.12 × 10^45 ft²)/(7 × 10^11 ft)
width = 1.12/7 × (10^45)/(10^11) ft
width = 0.16 × 10^34 ft
width = 1.6 × 10^34 ft
width = 1.6 × x ft
x = 10^34
The value of x is [tex]10^3^2[/tex] or [tex]\rm x =10^3^2[/tex]
It is given that the area of a rectangular field is [tex]\rm 1.12\times10^4^5 \ feet^2[/tex]
It is required to find the value of x
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We have:
Area of rectangle = [tex]\rm 1.12\times10^4^5 \ feet^2[/tex]
The length of the rectangle = [tex]7\times 10^1^1[/tex] feet
The width of the rectangle = [tex]\rm 1.6\times 10x[/tex] feet
After putting the values in the formula, we get:
[tex]\rm 1.12\times10^4^5 =7\times 10^1^1\times\rm 1.6\times 10x[/tex]
[tex]\rm x =\frac{1.12\times10^4^5}{7\times 10^1^1\times\rm 1.6\times 10} \\[/tex]
[tex]\rm x =\frac{1.12\times10^4^5}{7\times 10^1^1\times\rm 1.6\times 10} \\\\\rm x = 0.1\times 10^3^3[/tex]
[tex]\rm x =10^3^2[/tex]
Thus, the value of x is [tex]10^3^2[/tex]
Learn more about the area here:
https://brainly.com/question/14383947
Roberto's science grade is calculated using a weighted average. Quizzes are worth 25%, homework is worth 10%, unit tests are worth 30%, and labs are worth 35%.
Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit tests, and 94% on his labs.
What is Roberto's final science grade?
93.3%
93.9%
94.8%
95.3%
Answer:
Final grade: 93.9%
Step-by-step explanation:
The weights are as follows: 0.25, 0.10, 0.30 and 0.35. Note that these add up to the whole, that is, to 1.00.
Then the final grade is:
0.25(94) + 0.10(99) + 0.30(92) + 0.35(94) = 93.9
Suppose that two cards are randomly selected from a standard 52-card deck.
(a) What is the probability that the first card is a spade and the second card is a spade if the sampling is done without replacement?
(b) What is the probability that the first card is a spade and the second card is a spade if the sampling is done with replacement?
Answer:
A) 4 of the 52 cards are queens on the first draw; 3 of the remaining 51 cards are queens on the second draw: (4/52)*(3/51)
B) 4 of the 52 cards are queens on each draw: (4/52)*(4/52)
Step-by-step explanation:
correct me if. wrong
What is the factorization of the trinomial below?
-x^2 - 2x + 48
A. -1(x - 8)(x + 6)
B. -1(x + 8)(x - 6)
C. (x + 6)(x - 8)
D. (x - 6)(x + 8)
Answer:
The answer to this question is A
I need help with this question!
Answer:
B
Step-by-step explanation:
If 3 sweaters cost $25.95, how much would 6 sweaters cost?
Answer:
If 3 sweaters cost $25.95, then 6 sweaters must cost $95.69.
Step-by-step explanation:
Im sorry if this answer isnt correct.
HELLPPPP REALLLLYYY NEEDDD
THISS ANSWER
Answer:
we need a picture to help
Step-by-step explanation:
Answer:
what is the question man stop messing around
If it’s 1 pm what time will it be in 30 hours
Answer:
7pm
Step-by-step explanation:
1pm + 24 = 1pm
30 - 24. = 6
1pm + 6 = 7pm
The digits 5, 7, 1, and 9 are to be used in a roll number in a school. How
many different roll numbers are possible if repetitions are not permitted?
Answer:
1, 7, 5, 9
7, 1, 9, 5
9, 5, 1, 7
But there are about 10 possible combinations.
Step-by-step explanation: