Answer:
The plus 5 is a vertical translation. It would move g(x) up 5 units at all points. So just take g(x) and move the curve up 5 units.
Jackson's robot moved 5 meters in 2 seconds How far did he move in 30 sec? (please explain and use fractions)
75 meters
Step-by-step explanation:
5 x 30/2
= 5 x 15
= 75 meters
After collecting the data, Peter finds that the standardized test scores of the students in a school are normally distributed with mean 85 points and standard deviation 3 points. Use the Empirical Rule to find the probability that a randomly selected student's score is greater than 76 points. Provide the final answer as a percent rounded to two decimal places.
Answer:
Step-by-step explanation:
Given that:
the standardized test scores of the students in a school are normally distributed with:
mean = 85 points
standard deviation = 3 points
Using the empirical rule:
=85 - (3 × 3)
= 85 - 9
= 76
The given value of 76 points is 3 standard deviations below mean
Therefore;
the percent score between the given value of 76 points and the mean 85 points is:
99.7/2 = 49.85% ( since 99.7 data value lies within 3 standard deviation)
Also ; the percent of value above the mean score = 50%
Therefore, the probability that a student's score is greater than 76 points is
= (49.85 + 50 )%
= 99.85%
Answer:
mean=85
sd=3
85-3*3=76
its between 76 and 85=99.7/2=49.85%
50% mean above.
49.85+50=99.85%
Step-by-step explanation:
Please help. I’ll mark you as brainliest if correct!
Answer:
Quantity (lbs) of type 1 candy x = 8
Quantity (lbs) of type 2 candy y = 17,5
Step-by-step explanation:
Let´s call "x" quantity (in pounds) of candy type 1 in the mixture, and "y" quantity (in pounds ) of candy type 2, then according to the problem statement.
x + y = 25,5
2,20*x + 7,30*y = 5,70 * 25,5 ⇒ 2,20*x + 7,30*y = 145,35
Then we have a two equation system
x + y = 25,5 ⇒ y = 25,5 - x
2,20*x + 7,30*y = 145,35 ⇒ 2,20*x + 7,30* (25,5 - x ) = 145,35
2,20*x + 186,15 - 7,30*x = 145,35
5,1*x = 40,8
x = 40,8/5,1
x = 8 lbs
And y = 25,5 - 8
y = 17,5 lbs
Find the probability of each of the following, if Z~N(μ = 0,σ = 1).
(please round any numerical answers to 4 decimal places)
a) P(Z > -1.13) =
b) P(Z < 0.18) =
c) P(Z > 8) =
d) P(| Z | < 0.5) =
Answer: a) 0.8708, b) 5714, c) 0.000, d) 0.3830
Step-by-step explanation:
(a)
To find P(Z>-1.13):
Since Z is negative, it lies on left hand side of mid value.
Table of Area Under the Standard Normal Curve gives area = 0.3708
So,
P(Z>-1.13) = 0.5 + 0.3708 = 0.8708
(b)
To find P(Z<0.18):
Since Z is positive, it lies on right hand side of mid value.
Table of Area Under the Standard Normal Curve gives area = 0.0714
So,
P(Z<0.18) = 0.5 + 0.0714 = 0.5714
(c)
To find P(Z>8):
Since Z is positive, it lies on right hand side of mid value.
Table of Area Under the Standard Normal Curve gives area = 0.5 nearly
So,
P(Z>8) = 0.5 - 0.5 nearly = 0.0000
(d)
To find P(| Z | < 0.5)
that is
To find P(-0.5 < Z < 0.5):
Case 1: For Z from - 0.5 to mid value:
Table of Area Under the Standard Normal Curve gives area = 0.1915
Case 2: For Z from mid value to 0.5:
Table of Area Under the Standard Normal Curve gives area = 0.1915
So,
P(| Z | < 0.5) = 2 * 0.1915 = 0.3830
The Probability can be determine using z-Table. The z- table use to determine the area under the standard normal curve for any value between the mean (zero) and any z-score.
(a) The value of [tex]P(z>-1.13)=0.8708[/tex].
(b) The value of [tex]P(Z < 0.18) = 0.5714[/tex].
(c) The value of [tex]P(Z > 8) = 0.0000[/tex].
(d) The value of [tex]P(| Z | < 0.5) =0.3830[/tex].
Given:
The given condition is [tex]Z\sim N(\mu= 0,\sigma = 1).[/tex]
(a)
Find the value for [tex]P(Z > -1.13)[/tex].
Here Z is less than 1 that means Z is negative. So it will lies it lies on left hand side of mid value.
Refer the table of Area Under the Standard Normal Curve.
[tex]\rm Area = 0.3708[/tex].
Now,
[tex]P(Z > -1.13)=0.5 + 0.3708 = 0.8708[/tex]
Thus, the value of [tex]P(z>-1.13)=0.8708[/tex].
(b)
Find the value for [tex]P(Z < 0.18)[/tex].
Here Z is positive. So it will lies it lies on right hand side of mid value.
Refer the table of Area Under the Standard Normal Curve.
[tex]\rm Area = 0.0714[/tex].
Now,
[tex]P(Z <0.18)=0.5 + 0.0714 = 0.5714[/tex]
Thus, the value of [tex]P(Z < 0.18) = 0.5714[/tex].
(c)
Find the value for [tex]P(Z >8)[/tex].
Here Z is positive. So it will lies it lies on right hand side of mid value.
Refer the table of Area Under the Standard Normal Curve.
[tex]\rm Area \approx 0.5[/tex].
Now,
[tex]P(Z >8)\approx0.5 - 0.5 = 0.0000[/tex]
Thus, the value of [tex]P(Z > 8) = 0.0000[/tex].
(d)
Find the value for [tex]P(|Z| <0.05)[/tex].
Here Z is mod of Z, it may be positive or negative. Consider the negative value of Z.
Refer the table of Area Under the Standard Normal Curve.
[tex]\rm Area =0.1915[/tex].
Consider the positive value of Z.
Refer the table of Area Under the Standard Normal Curve.
[tex]\rm Area =0.1915[/tex].
Now,
[tex]P(|Z| <0.5)=2\times 0.1915 = 0.3830[/tex]
Thus, the value of [tex]P(| Z | < 0.5) =0.3830[/tex].
Learn more about z-table here:
https://brainly.com/question/16051105
Write these as normal numbers
Hi there!! (✿◕‿◕)
⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐
A.) 7.2 x 10^-5 = 0.000000072
B.) 6.3 x 10^-9 = 0.0000000063
C.) 4.54 x 10^-5 = 0.0000454
D.) 7.041 x 10^-10 = 0.0000000007041
Hope this helped!! ٩(◕‿◕｡)۶
The numbers can be written as;
A.) 7.2 x 10^{-5} = 0.000000072
B.) 6.3 x 10^{-9} = 0.0000000063
C.) 4.54 x 10^{-5} = 0.0000454
D.) 7.041 x 10^{-10} = 0.0000000007041
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given the parameters
We need to Write these as normal numbers
A.) 7.2 x 10^{-5} = 0.000000072
B.) 6.3 x 10^{-9} = 0.0000000063
C.) 4.54 x 10^{-5} = 0.0000454
D.) 7.041 x 10^{-10} = 0.0000000007041
Learn more about multiplications;
https://brainly.com/question/14059007
#SPJ2
Home health aide trades in old car a gas mileage of 18 1/4 miles per gallon.starting with a full tank of gas in her new car she travels 390 7/8 miles it takes 14 3/4 gallons to fuel the tank. How many miles further can she travel on a full tank of gas with the new car if the gas tank hold 30 gallons of gas
Answer:
The new car travels 247.5 miles more than the old one on 30 gallons of gas.
Step-by-step explanation:
The fuel consumption of the old car was:
[tex]car_{old} = 18 + \frac{1}{4} = \frac{73}{4} \text{ miles per gallon}[/tex]
The new one can travel a distance of 390 7/8 miles by using 14 3/4 gallons of fuel, therefore the consumption is:
[tex]car_{new} = \frac{390.875}{14.75} = 26.5 \text{ miles per gallon}[/tex]
If the tank holds 30 gallons, on the old car the distance would be:
[tex]distance_{old} = 18.25*30 = 547.5 \text{ miles}[/tex]
On the new one it will be:
[tex]distance_{new} = 26.5*30 = 795 \text{ miles}[/tex]
So the new car is able to travel 247.5 miles more than the old one on 30 gallons of gas.
NEED HELP LIKE NOW PLSSS HELP 50 POINTS Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and ^ to indicate an exponent. Find the missing term.
Answer:
The expression that fits into the box is x¹⁵⁸
Step-by-step explanation:
Let the empty box be y
(x¹²)⁵ × (x⁻²)⁹ × y = (x⁴⁰)⁵
Here, we will apply the laws of indices.
The laws of indices gives the answer for the expressions
1) xᵏ × xˢ = xᵏ⁺ˢ
2) xᵏ ÷ xˢ = xᵏ⁻ˢ
3) (xᵏ)ˢ = xᵏ•ˢ
So,
(x¹²)⁵ = x⁶⁰
(x⁻²)⁹ = x⁻¹⁸
(x⁴⁰)⁵ = x²⁰⁰
(x¹²)⁵ × (x⁻²)⁹ × y = (x⁴⁰)⁵
Becomes
x⁶⁰ × x⁻¹⁸ × y = x²⁰⁰
x⁶⁰⁻¹⁸ × y = x²⁰⁰
x⁴² × y = x²⁰⁰
y = x²⁰⁰ ÷ x⁴²
y = x²⁰⁰⁻⁴² = x¹⁵⁸
Hope this Helps!!!
Which of the following answer choice is a possible solution to the inequality 4y>10?
A. 7
B. 1/4
C. 2
Please prove your answer.
Answer:
7 is the answer
Step-by-step explanation:
if we put 1/4 or 2 then the statement will wrong so 7 is the right answer
Answer:
A
Step-by-step explanation:
If 4A (7) is greater than 10, then 4x7=28. 28 is greater than 10.
-----------------------------------------------------------------------
Hope this helps you...
Eight less than four times a number is less than 56. What are the possible values of that number?
Answer:
The numbers should be less than 16 . The numbers can be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ............15
Step-by-step explanation:
Eight less than four times a number is less than 56 . The expression can be written below
let
the number = a
4a - 8 < 56
add 8 to both sides
4a - 8 + 8 < 56 + 8
4a < 64
divide both sides by 4
a < 64/4
a < 16
The numbers should be less than 16 . The numbers can be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ............15
Which Graph represents the solution to the compound inequality 4x +8< -16 or 4x + 8 > 4
Answer:
option 3
Step-by-step explanation:
4x+8<-16
x<-6
4x+8_>-16
x_>-1
(it's more and equal .so the circle has to be shaded and move to the right of -1)
Answer:C
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
4
Step-by-step explanation:
Answer:
1/8 < 1/6
Step-by-step explanation:
The top is divided into 8 and 1 part is shaded so 1/8
The bottom is divided into 6 and 1 part is shaded so 1/6
Comparing
1/8 < 1/6
Harry is trying to complete his hill walking scouts badge. He is using a map with a scale of 1 cm : 2 km. To earn the badge he needs to walk 14 km. What is the distance he needs to walk on the map?
Answer:
7 cm
Step-by-step explanation:
14 / 2 = 7 cm
7cm is the distance Harry needs to walk on the map?
What is Distance?Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are.
Given that,
Harry is trying to complete his hill walking scouts badge.
He is using a map with a scale of 1 cm : 2 km.
To earn the badge he needs to walk 14 km.
Let the distance he needs to walk on the map is x.
By given data we write an equation
1/2=x/14
Apply Cross Multiplication
14/2=x
7=x
Hence, 7cm is the distance he needs to walk on the map.
To learn more on Distance click:
https://brainly.com/question/15172156
#SPJ5
Volume of cylinder height=20 and B= 32????
Answer:
16076.8
Step-by-step explanation:
Volume of Cylinder=πr²h
h= 20 m
r = 32/2 = 16
=πr²h
= (3.14)(16^2)(20)
=16076.8 m^2
HOPE IT HELPS :)
PLEASE MARK IT THE BRAINLIEST!
It takes four painters working at the same rate 1.25 work-days to finish a job. If only three painters are available, how many work-days will it take them to finish the job, working at the same rate? Express your answer as a mixed number.
Answer:
.9375 days
Step-by-step explanation:
1.25 / 4 = 0.3125
0.3125 x 3 - 0.9375
50 POINTS!!!! I ALSO GIVE BRAINLIEST, BUT YOU HAVE TO ANSWER QUICK Choose the correct graph of the given system of equations. A pair of linear equations is shown: y = −x + 1 y = 2x + 4 Which of the following statements best explains the steps to solve the pair of equations graphically? On a graph, plot the line y = −x + 1, which has y-intercept = −1 and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = 1, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = −2 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
Answer:
D. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
Step-by-step explanation:
Correct answer is in bold. Incorrect answer have the mistakes put between stars *** ***.
50 POINTS!!!! I ALSO GIVE BRAINLIEST, BUT YOU HAVE TO ANSWER QUICK Choose the correct graph of the given system of equations. A pair of linear equations is shown: y = −x + 1 y = 2x + 4 Which of the following statements best explains the steps to solve the pair of equations graphically?
A. On a graph, plot the line y = −x + 1, which has y-intercept = ***−1*** and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution.
B. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = ***1***, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution.
C. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = ***−2*** and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
D. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
PLEASE ANSWER FAST I WILL MARK BRAINLEIST AMD 20 POINTSBased on the figure below what is the value of X
Answer:
[tex]\boxed{9}[/tex]
Step-by-step explanation:
The two angles are complementary to each other.
That means they add up to 90 degrees.
[tex]5x+15+30=90[/tex]
[tex]5x+45=90[/tex]
[tex]5x=45[/tex]
[tex]x=9[/tex]
Answer:
x = 9
Step-by-step explanation:
So you know that the total is 90 degrees.
What you need to do is create an equation.
5x + 15 + 30 = 90
Then, solve the equation like this.
5x + 15 + 30 = 90
5x + 45 = 90
5x = 90 - 45
5x = 45
x = 45 ÷ 5
x = 9
Hope this helps! :)
Given the sample mean = 23.375, sample standard deviation = 5.29, and N = 40 for the low income group, Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm. Test at the 0.01 significance level.
a) Identify the correct alternative hypothesis:
A. p > 21.21
B. p < 21.21
C. p = 21.21
D. μ < 21.21
E. μ > 21.21
F. μ = 21.21
Give all answers correct to 3 decimal places
b) The test statistic value is:_______
c) Using the Traditional method, the critical value is:_______
Answer:
Step-by-step explanation:
a. To identify the alternative hypothesis, we have to examine the claim
The claim is that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm
Thus, alternative hypothesis is μ > 21.21
b. The test statistics is
z score = x - u /(sd/√n)
Where x (sample mean) is 23.375, u is pop. mean is 21.21, sd is 5.29 and n (sample size) is 40
z = 23.375 - 21.21 /(5.29/√40)
z = 2.165 / (5.29/6.3246)
z = 2.165/0.8364
z = 2.588
c. The critical value is
Alpha for this case study is 0.01. Then the critical probability is 1 - (alpha/2) =
1 - (0.01/2) = 1 - 0.005 = 0.995
To express the critical value as a z score, find the z score corresponding to the critical probability using the z table. Which is 0.8389.
Find x round to the nearest tenth
Answer:
83.0
Step-by-step explanation:
We have all three sides and the only thing we're missing is the X angle. And that's okay!
All you have to do is plug in the numbers into each variable. In this case if you are going to solve for X, you should use this equation.
[tex]x^2=y^2+z^2-2yzcosX[/tex]
x = 17ft
y = 8ft
x = 16fi
Then you can algebraically solve for cosX, and then use the inverse of cosx to get the angle.
HELP! EASY! WILL GIVE BRAINLIEST!
Answer:
c
Step-by-step explanation:
Find the unknown side length x write your answer in simplest radical form
A.24
B.4squareroot37
C.2squareroot154
D.5squareroot117
Answer:
(B)[tex]4\sqrt{37}[/tex]
Step-by-step explanation:
First, we determine the height of the triangle which we label as y.
Using Pythagoras Theorem.
[tex]25^2=7^2+y^2\\y^2=25^2-7^2\\y^2=576\\y=\sqrt{576}\\y=24[/tex]
In the smaller right triangle with hypotenuse, x
Base = 7-3 =4 Units
Height, y= 24 Units
Therefore, applying Pythagoras Theorem.:
[tex]x^2=24^2+4^2\\x^2=592\\x=\sqrt{592}\\ x=4\sqrt{37}[/tex]
if the focus of an ellipse are (-4,4) and (6,4), then the coordinates of the enter of the ellipsis are
Answer:
The center is (1,4)
Step-by-step explanation:
The coordinates of the center of an ellipse are the coordinates that are in the middle of the two focus.
Then if we have a focus on [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], we can say that the coordinates for x and y can be calculated as:
[tex]x=\frac{x_1+x_2}{2}\\ y=\frac{y_1+y_2}{2}[/tex]
So, replacing [tex](x_1,y_1)[/tex] by (-4,4) and [tex](x_2,y_2)[/tex] by (6,4), we get that the center is:
[tex]x=\frac{-4+6}{2}=1\\ y=\frac{4+4}{2}=4[/tex]
How much would $200 invested at 7% interest compounded annually be
worth after 5 years? Round your answer to the nearest cent.
AD) -
A. $280.51
B. $214.40
C. $270.00
D. S283.87
Work Shown:
A = P*(1+r/n)^(n*t) .... compound interest formula
A = 200(1+0.07/1)^(1*5) .... plug in given info
A = 200*(1.07)^5
A = 200*1.4025517307
A = 280.51034614
A = 280.51
Find the values of x,y,and z. The diagram is not to scale.
*check attachment for the correct figure given in this question with the right labelled angles
Answer:
[tex] x = 86, y = 67, z = 94 [/tex]
Step-by-step explanation:
From the given figure attached below, values of x, y, and z can be found as follow:
Value of x:
[tex] x = 180 - (38 + 56) [/tex] => sum of angles in a triangle
[tex] x = 180 - 94 [/tex]
[tex]x = 86[/tex]
Value of z:
[tex] z = 180 - 86 [/tex] => angles on a straight line
[tex]z = 94[/tex]
Value of y:
[tex] y = 180 - (19 + 94) [/tex] => sum of angles in a triangle.
[tex] y = 180 - 113 [/tex]
[tex]y = 67[/tex]
[tex] x = 86, y = 67, z = 94 [/tex]
The graph of a polynomial is shown below. At which value of x does this polynomial have an extreme?
Answer:
A. x = 4.
Step-by-step explanation:
An extreme is the highest or lowest value of the function. In this case, the extreme of the parabola is the lowest point, or the vertex.
We can see that point is at about A. x = 4.
Hope this helps!
Of the cartons produced by a company, % have a puncture, % have a smashed corner, and % have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner nothing%. (Type an integer or a decimal. Do not round.)
Full Question
Of the cartons produced by a company, 10% have a puncture, 6% have a smashed corner, and 0.4% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner nothing ____%. (Type an integer or a decimal. Do not round.)
Answer:
[tex]P(Punctured\ or\ Smashed\ Corner) = 0.156[/tex]
Step-by-step explanation:
Given
[tex]Puncture\ Corner = 10\%[/tex]
[tex]Smashed\ Corner = 6\%[/tex]
[tex]Punctured\ and\ Smashed\ Corner = 0.4\%[/tex]
Required
[tex]P(Punctured\ or\ Smashed\ Corner)[/tex]
For non-mutually exclusive event described above, P(Punctured or Smashed Corner) can be calculated as thus;
[tex]P(Punctured\ or\ Smashed\ Corner) = P(Punctured\ Corner) + P(Smashed\ Corner) - P(Punctured\ and\ Smashed\ Corner)[/tex]
Substitute:
10% for P(Puncture Corner),
6% for P(Smashed Corner) and
0.4% for P(Punctured and Smashed Corner)
[tex]P(Punctured\ or\ Smashed\ Corner) = 10\% + 6\% - 0.4\%[/tex]
[tex]P(Punctured\ or\ Smashed\ Corner) = 15.6\%[/tex]
Convert % to fraction
[tex]P(Punctured\ or\ Smashed\ Corner) = \frac{15.6}{100}[/tex]
Convert to decimal
[tex]P(Punctured\ or\ Smashed\ Corner) = 0.156[/tex]
Using Venn probabilities, it is found that:
The probability that a randomly selected carton has a puncture or a smashed corner is 15.6%.In this problem, the events are:
Event A: Puncture.Event B: Smashed corner.The "or" probability is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
10% have a puncture, hence [tex]P(A) = 0.1[/tex]6% have a smashed corner, hence [tex]P(B) = 0.06[/tex].0.4% have both a puncture and a smashed corner, hence [tex]P(A \cup B) = 0.004[/tex].Then:
[tex]P(A \cup B) = 0.1 + 0.06 - 0.004 = 0.156[/tex]
The probability that a randomly selected carton has a puncture or a smashed corner is 15.6%.
To learn more about Venn probabilities, you can check https://brainly.com/question/25698611
Assume that females have pulse rates that are normally distributed with a mean of mu equals 75.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute.
Answer:
0.40517 is the probability
Step-by-step explanation:
The first thing to do here is to calculate the corresponding z-score
Mathematically;
z-score = x-mean/SD
from the question,
x = 78, mean = 75 and SD = 12.5
Plugging these values in the z-score equation, we have;
z-score = (78-75)/12.5 = 3/12.5 = 0.24
So the probability we want to calculate is that;
P(z < 0.24)
we can get this by using the standard normal distribution table,
The value according to the table is;
0.40517
Rotate the figure 90 counterclockwise about the origin. Determine the orientation of the rotated figure and place it in the correct position (PLS HELP)
Answer:
see below
Step-by-step explanation:
The rotated location of D' is (-2, 1). The "arrow" points to the left. The attached figure is the best I could do with your distorted image.
You have to rotate the figure 90 counterclockwise about the origin.
may someone assist me ?
Answer:
x = 6
Step-by-step explanation:
I will use some symbols, please refer to the image I attach to understand my answer.
Since BC = 2 using Thales theorem we get that
3/x = 2/4 then 3/x = 1/2 and 6 = x
TRIANGLE ABC IS DILATED BY A SCALE FACTOR OF 0.5 WITH THE ORIGIN AS THE CENTER OF DILATION, RESULTING IN THE IMAGE TRIANGLE A'B'C. IF A=(2,2). IF A (2,2), B= (4,3) AND C=(6,3), WHAT IS THE LENGTH OF LINE B'C'?
Answer: The length of the line B'C" is 1 unit.
Step-by-step explanation:
Given: Triangle ABC is dilated by a scale factor of 0.5 with the origin as the center of dilation , resulting in the image Triangle A'B'C'.
If A (2,2), B= (4,3) and C=(6,3).
Distance between (a,b) and (c,d): [tex]D=\sqrt{(d-b)^2+(c-b)^2}[/tex]
Then, BC [tex]=\sqrt{(3-3)^2+(6-4)^2}[/tex]
[tex]\\\\=\sqrt{0+2^2}\\\\=\sqrt{4}\\\\=2\text{ units}[/tex]
Length of image = scale factor x length in original figure
B'C' = 0.5 × BC
= 0.5 × 2
= 1 unit
Hence, the length of the line B'C" is 1 unit.
Write 3 expressions containing exponents so that each expression equals 81
Answer:
9x9= 81
3x3x3x3=81
81 to the first power.
Step-by-step explanation:
I hope this helps in any way:)