Answer:
The original point is [tex]P(x,y) = (3,9)[/tex].
The distance between the points is 18 units.
Step-by-step explanation:
The reflection of a point with respect to the x-axis is defined by the following operation:
[tex]P(x,y) = (x,y) \to P'(x,y) = (x, -y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Resulting point.
If we know that [tex]P'(x,y) = (3, -9)[/tex], then the original point is [tex]P(x,y) = (3,9)[/tex].
The original point is [tex]P(x,y) = (3,9)[/tex].
The distance between the points ([tex]d[/tex]), in units, is determined vectorially by the following expression, which is equivalent to the Pythagorean Theorem:
[tex]d = \sqrt{[P'(x,y) -P(x,y)]\,\bullet\,[P'(x,y) -P(x,y)]}[/tex]
[tex]d = \sqrt{(0,18)\,\bullet (0,18)}[/tex]
[tex]d = \sqrt{0^{2}+18^{2}}[/tex]
[tex]d = 18[/tex]
The distance between the points is 18 units.
Answer:(3,9) Distance 18 units.
Step-by-step explanation:
If the shorter leg of a 30-60-90 triangle has length 8/sqrt(3), then the longer leg has length _____.
8
10
12
Answer:
[tex]Longer\ leg = 8[/tex]
Step-by-step explanation:
Given
30-60-90 triangle
[tex]Shorter = \frac{8}{\sqrt 3}[/tex]
Required
The longer leg
The following relationship exists in a 30-60-90 triangle.
[tex]Longer\ leg = \sqrt 3 * Shorter\ Leg[/tex]
This gives:
[tex]Longer\ leg = \sqrt 3 * \frac{8}{\sqrt 3}[/tex]
[tex]Longer\ leg = 1* \frac{8}{1}[/tex]
[tex]Longer\ leg = 1* 8[/tex]
[tex]Longer\ leg = 8[/tex]
A store has two different brands of laundry detergent. Brand A can do 80 loads of laundry and costs $12.75. Brand B does 36 loads of laundry and costs $6.75. Which laundry detergent costs less per load?
In a family,the ages of children arranged from the youngest to the oldest are 2,6,y,14 and z.if the sequence of the ages is in an arithmetic progressions what is the ratio z:y
Answer:
9/5
Step-by-step explanation:
The common difference = 6 - 2 = 4
The age after 6 is 6 + 4 = 10 = y
The age after 14 is 14 + 4 = 18 = z
z/ y = 18/10 = 9/5
What is the answer????
Answer:
IDEK
Step-by-step explanation:
Answer: i dk
Step-by-step explanation:
find the value of given expression
[tex] \sqrt{25 \times 625 \times \times 25} [/tex]
Answer:
±625
Step-by-step explanation:
[tex]\sqrt{25 x 625 x 25}[/tex]
[tex]\sqrt{390625}[/tex]
±625
Answer:
√(25×625×25)√{5²×25²×5²)=±(5×25×5}=±625 is your answer
im on a test pleaseee help
find the solution to following system of linear equations using the substitution method:
[tex]y=-3x+5\\5x-4y=-3[/tex]
Identify the measure useful for finding the difference between the most number of votes and the least number of votes
Answer:
Range
Step-by-step explanation:
To obtain the difference between two extreme values (peak or highest and the bottom or lowest) value of a distribution, the statistical measure which best captures this differ ce is the RANGE. As the range is specifically used for determining the variation between the highest and lowest value of dataset.
The range is defined Mathematically as ;
Range = Maximum value - Minimum value
Hence. To obtain the difference between the maximum and least number of votes, the range is the best measure to use.
Please answer these three questions!!! FAST!!!!
Answer:
1- 300m
2- 0
3- 15m
Step-by-step explanation:
1- 300m
2- 0
3- 15m
WILL GIVE BRAINLIEST!
Find x given y = 76° in the figure below.
x =
°
Answer:
104°
Step-by-step explanation:
The straight line for [tex]q[/tex] forms an angle of 180°
Therefore,
[tex]x+y=180[/tex]
[tex]x+76=180[/tex]
[tex]x=180-76[/tex]
[tex]x=104[/tex]
solve each equation for the variable 7x-2=40
Answer:
x = 6
Step-by-step explanation:
7x - 2 = 40
7x - 2 + 2 = 7x
40 + 2 = 42
7x = 42
7x / 7 = x
42 / 7 = 6
x = 6
What is the value of x
Answer:
x = 55
Step-by-step explanation:
A triangle is 180 degrees in total. All you have to do is add the sides you already have and subtract that by 180.
What package is the Best Buy?
Answer: The answer is 8 lb for $18.80
That is the answer because you have to divide in order to see which is the best buy
You have to divide $4.98 by 2lb and you will get 2.49, divide $12.25 by 5lb which equals 2.45, divide $18.80 and you will get 2.35, divide $23.70 by 10lb and you will get 2.37. So therefore you answer is C.8lb for $18.80 because 2.35 is better than the other deals.
Step-by-step explanation:
Hope this helps !
WILL GIVE BRAINLIEST
Answer:
The correct answer is C. (2, 3)
rewrite without absolute value for the given conditions:
y=|x-3|+|x+2|-|x-5|, if x>5
Answer:
y = x + 4
Step-by-step explanation:
Since x > 5, x-3 > 0, x + 2 > 0 and x - 5 > 0
So Ix - 3I = x - 3, Ix + 2I = x + 2 and x - 5 = x - 5
Therefore, y = x - 3 + x + 2 - x + 5
y = x + 4
Answer:
Step-by-step explanation:
It might interest you to know what this question means without the restriction. See graph 36b. This shows exactly what happens to the absolute value. There are all sorts of turns and twists in it. Notice all the changes in direction and the minimum at -2,-2. The y intercept is at 0,0.
0,0 is also one of the x intercepts as well. The other is -4,0. The whole point of showing you this is to make you aware of what the restriction does.
The graph is reduced to a line starting at (5,9)
please help me. find the value of x. will mark brainliest.
Please give me questions about finding the circumference of a circle
Answer:
Ok, here goes nothing
Step-by-step explanation:
1. What will be the circumference of the circle?
2. What information is needed to find the circumference of a circle?
3. How is PI used in finding the circumference of a circle?
This is all I got
Translate the sentence into an equation.
The sum of 9 times a number and 6 is equal to 8.
Answer:
Step-by-step explanation:
gracias por los puntos
Find the value of each variable polygon
Somebody help with these please before 11:50pm
Below are the test scores that a student earned in 4 different subjects. In which subjects did this student have an average higher than 80%? Select all that apply.
Math: 82, 71, 95, 92
Reading: 74, 81, 82, 70
Science: 86, 77, 79, 90
Spanish: 68, 75, 83, 81
Answer:
Math and Science
Step-by-step explanation:
Inorder to find the average, you add up all the scores and divide it by 4.
Math average: 85%
Reading: 76.75%
Science: 83%
Spanish: 76.75%
Hoped it helped!
Brian recorded the number of commercials played during two types of television shows: an educational documentary and a primetime drama. Both types of shows lasted 1 hour, including commercials. He recorded the number of commercials for 10 episodes of each type of show.
Answer:
[tex]m(x)_A = 5.2[/tex] --- Mean absolute deviation of educational documentary
[tex]m(x)_B = 4.7[/tex] --- Mean absolute deviation of prime time drama
Step-by-step explanation:
Given
[tex]n = 10[/tex]
See attachment for table
Required
Determine the mean absolute deviation of each
Mean absolute deviation m(x) is calculated as:
[tex]m(x) = \frac{1}{n}\sum |x - \mu|[/tex]
For Educational Documentary
First, calculate the mean
[tex]\mu = \frac{\sum x}{n}[/tex]
So:
[tex]\mu_A = \frac{26 + 28 + 30 + 18+27 + 18 + 20 +31+17+17}{10}[/tex]
[tex]\mu_A = \frac{232}{10}[/tex]
[tex]\mu_A = 23.2[/tex]
The mean absolute deviation is then calculated as:
[tex]m(x)_A = \frac{1}{n}\sum |x - \mu_A|[/tex]
[tex]m(x)_A = \frac{1}{10}(|26 -23.2| +|28 -23.2| +|30 -23.2| +|18 -23.2| +|27 -23.2| +|18 -23.2| +|20 -23.2| +|31 -23.2| +|17 -23.2| +|17 -23.2|)[/tex]
[tex]m(x)_A = \frac{1}{10}(|2.8| +|4.8| +|6.8| +|-5.2| +|3.8| +|-5.2| +|-3.2| +|7.8| +|-6.2| +|-6.2|)[/tex]
[tex]m(x)_A = \frac{1}{10}(2.8 +4.8 +6.8 +5.2 +3.8 +5.2 +3.2 +7.8 +6.2 +6.2)[/tex]
[tex]m(x)_A = \frac{1}{10}*52[/tex]
[tex]m(x)_A = 5.2[/tex]
For Prime time Drama
First, calculate the mean
[tex]\mu = \frac{\sum x}{n}[/tex]
So:
[tex]\mu_B = \frac{39+39+35+29+40+27+41+29+32+30}{10}[/tex]
[tex]\mu_B = \frac{341}{10}[/tex]
[tex]\mu_B = 34.1[/tex]
The mean absolute deviation is then calculated as:
[tex]m(x)_B = \frac{1}{n}\sum |x - \mu_B|[/tex]
[tex]m(x)_B = \frac{1}{10}(|39-34.1|+|39-34.1|+|35-34.1|+|29-34.1|+|40-34.1|+|27-34.1|+|41-34.1|+|29-34.1|+|32-34.1|+|30-34.1|)[/tex]
[tex]m(x)_B = \frac{1}{10}(|4.9|+|4.9|+|0.9|+|-5.1|+|5.9|+|-7.1|+|6.9|+|-5.1|+|-2.1|+|-4.1|)[/tex]
[tex]m(x)_B = \frac{1}{10}(4.9+4.9+0.9+5.1+5.9+7.1+6.9+5.1+2.1+4.1)[/tex]
[tex]m(x)_B = \frac{1}{10}*47[/tex]
[tex]m(x)_B = 4.7[/tex]
The total number of hours tea that Trent has practiced his guitar after D days is modeled by the equation shown t=3d
Answer:
The complete table is
d t
1 3
3 9
5 15
Step-by-step explanation:
Here is the correct and complete question:
The total number of hours, t, that Trent has practiced his guitar after d days is modeled by the equation t = 3d.
Complete the table below.
d t
1
3
15
Step-by-step explanation:
For the first space, we are to determine the value of t when d is 1
From the given equation, t = 3d, put d = 1 and determine t
t = 3d
∴ t = 3(1) = 3×1
t = 3
For the second space , we are to determine the value of t when d is 3
Put d = 3 in the equation to determine t
t = 3d
∴ t= 3(3) = 3×3
t = 9
For the third space, we are to determine the value of d when t is 15.
Put t = 15 in the equation and then find d
t = 3d
∴ 15 = 3d
Divide both sides by 3
15/3 = 3d/3
5 = d
∴ d = 5
I need help with this please
need help, I will be gaveing out points for helpers
Answer:
The 3rd answer
Step-by-step explanation:the
180-30\2
....
=75
30+2*75=
...
180
Answer:
30 + 2x = 180
Step-by-step explanation:
This is becuase we know this triangle is an isosceles triangle. (The two markings on the sides prove that.) An isosceles triangle is when two sides (so naturally also two angles) are the same. This means the other angle is x. We know that if we add all of the angles, we'll get 180. So, 30 + x + x = 180 or "30 + 2x = 180".
Also, x = 75.
Here:
30 + 2x = 180
30 - 30 + 2x = 180 - 30
2x = 150
2x / 2 = 150 / 2
x = 75
HOPE THIS HELPED!! HAVE AN AWESOME DAY!
Write the formula of the function f (x) whose graph is shown.
A. f (x) = 3/x+3 +1
B. f (x) = 3/x+1 +3
C. f (x) = 3/ x-1 + 3
D. f (x) = 3/ x-3 + 1
Please help!
RATIONAL FUNCTIONS
Answer: D. f (x) = 3/x-3+1
Learn more: brainly.com/question/15155257
Find the measure of.. (image included)
I don't get this :(
I need help with math
Step-by-step explanation:
1》 x + 74° = 90°
x = 90° - 74°
x = 16°
2》 x + 134° = 180°
x = 180° - 134°
x = 46°
#CMIIWWhat is the square root of 134.66
Answer:
11.6 or 12
Step-by-step explanation:
Answer:
11.6043
Step-by-step explanation:
12) Shanaya graphed the line represented by the equation y = -2x +4 a) Write an equation
for a line that is parallel to the given line. b) Write an equation for a line that is
perpendicular to the given line. c) Write an equation for a line that is neither parallel or
perpendicular.
there are websites such as
mathpapa
algebra tiger - favorite
and many more that will give you the CORRECT answer and will give u a step by step explanation on how it was answered
Hugo plays basketball.
He made 12 out of 15 shots.
Predict how many he would make if he
attempted 45.
Answer:
170
Step-by-step explanation:
multiply 12×15=170
Dvide if the polynomial does not divide evenly. Include the remainder as a fraction (18u^2 - 142u - 11) ÷ (u - 8)
Answer:
18u + 2 + 5/(u - 8)Step-by-step explanation:
(18u^2 - 142u - 11) ÷ (u - 8) 18u^2 - 142u - 11 = 18u^2 - 8*18u + 2u - 11 = 18u(u - 8) + 2u - 16 + 5 =18u(u - 8) + 2(u - 8) + 5 =(18u + 2)(u - 8) + 5(18u^2 - 142u - 11) ÷ (u - 8) = 18u + 2 + 5/(u - 8)Answer:
18u + 2 + 5/u - 8.
Step-by-step explanation:
(18u^2 - 142u - 11) ÷ (u - 8)
= 18u + 2 + 5/u - 8.