Given:
The point is (8,5).
To find:
A point on the y-axis such that its distance from the point (8,5) is 10 units.
Solution:
Let the required point on the y-axis be (0,k).
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance between (8,5) and (0,k) is 10 units. Using distance formula, we get
[tex]10=\sqrt{(0-8)^2+(k-5)^2}[/tex]
Taking square on both sides.
[tex]100=64+(k-5)^2[/tex]
[tex]100-64=(k-5)^2[/tex]
[tex]36=(k-5)^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{36}=k-5[/tex]
[tex]\pm 6=k-5[/tex]
Now,
[tex]6=k-5[/tex] and [tex]-6=k-5[/tex]
[tex]6+5=k[/tex] and [tex]-6+5=k[/tex]
[tex]11=k[/tex] and [tex]-1=k[/tex]
Therefore, the required point is either (0,11) or (0,-1).
The two binomials (3x - 4) and (2x - 3) are the factors of which polynomial?
A. 5x2 - 14x - 7
B. 6x2 - 17x + 12
C. -23x2 + 12
D. 6x2 - 14x + 7
Answer:
b. 6x2 - 17x + 12
Step-by-step explanation:
hope this helps. have a great time :)
I need to now the measurements on of A and B
Answer:
A = 90° and B = 145°
Step-by-step explanation:
We already know that A is a right angle because it looks just like one. A trapezoid has a total of 360 degrees. We can create an equation to solve for the 4th angle.
90 + 90 + 145 + x = 360
325 + x = 360
x = 35
Now, we can find B. Angle B and 35 make a supplementary angle. This means that both angles when added will equal 180 degrees. We can create an equation and solve.
35 + B = 180
B = 145
Best of Luck!
find the values of x and y
Answer:
61=x cortical opposite angle
61=y corresponding angle
Answer:
61=x and 61=y
Step-by-step explanation:
I think that bout right
Help please its not 4/9ths
Answer:
-16Step-by-step explanation:
[tex]\dfrac{4}{9}=\left(\dfrac{2}{3}\right)^2\\\\25=5^2\\\\121=11^2\\\\-16<0!!![/tex]
The square of each real number is non-negative
Pls help me and explain why it’s that answers.
please hurry! given AJKL : AXYZ, find the scale factor.
The largest U.S. state is Alaska, which covers 5.7 x 10° square miles. Rhode Island, the
smallest state, covers 1 x 10' square miles. How many times as big as Rhode Island is
Alaska?
Write your answer in standard form. Do not use exponents.
____ times as big
Answer:570,000,000
Step-by-step explanation:
(5.7 × 10^5 ÷ 1 × 10^3)
Abdul buys dress pants from a clothing Company for P dollars he sells each pair of pants in his men's clothing shop at 40% markup select all the expressions below represent the new retail price of a pair of dress pants
Answer:
$P + 0.4P or 1.4P
Step-by-step explanation:
Given that:
Cost of dress pants = $P
Markup on cost price = 40%
The new retail price of a pair of dress pant :
(Cost price of the dress pant + markup on cost price)
$P + 40% of P
$P + 0.4P
New retail price = $P + 0.4P = 1.4P
How many 4/5 Cup servings are in 2/5 of a cup of ice cream Is the simplest fraction form
yes.4/5=cannot simplify.2/5 can not simplify
Someone please help me !!! 100 points must show work !
Answer: x is c center w and y are b center
Step-by-step explanation:
Connect the dots
Point A is at (3,2.7) and point B is at (3,1.4) on a coordinate grid. The distance between the two points is __. Numbers and decimals only
PLEASE HELP ASAP
Answer:
The distance between the two points is 1.3
Step-by-step explanation:
Answer:
The distance between the two points is 1.3
Twice the square of a number is less than another number. Negating the square of that number and adding 5 causes
it to be larger than the other number. Which represents the solution set?
Answer:
d
Step-by-step explanation:
took it on edg
The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y
How to represent the solution set?First, we represent the mathematical statements as an equation or inequalities
Mathematically, the statements in the questions are:
2x^2 < y-x^2 + 5 > yWhere x and y represents the two numbers
So, we plot the graphs of 2x^2 < y and -x^2 + 5 > y
The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y
Read more about inequalities at:
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Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. How many pieces of gum did Greg win?
Answer:
20 students
Step-by-step explanation:20 students cos 88 divided by 4 =22 and it said she had 8 left so 20 student in her class
I need help with this quick question ASAP!
Find the output for f(x) = −3x + 4 when x = −5. Show every step.
Answer:
19
Step-by-step explanation:
-3x+4
-3(-5)+4
15+4
19
Answer:-3x+4
-3(-5)+4
15+4
19
Step-by-step explanation:
a class is made up of 12 boys and 13 girls what fraction of the class is boys.
can someone please help me?
Answer:
answer is d
Step-by-step explanation:
I will se anywhere
which ? a , b , c , or d ????
Answer:
C
Step-by-step explanation:
Tides can be predicted far in advance and with a high degree of accuracy. Tides are forced by the orbital relationships between the Earth, the moon and the Sun. ... The predictability of planetary motion means that we can also reconstruct tides in the past.
Answer:
I would say C.
Step-by-step explanation:
A recent survey suggests that 47% of all televisions are connected to the internet, 32% are voice controlled, and 22% are both connected to the internet and voice controlled. Suppose a television is selected at random and it is voice controlled. What is the probability that a randomly selected voice-controlled television is also connected to the internet?
A. 0.15
B. 0.47
C. 0.69
D. 0.79
Answer:
0.69
Step-by-step explanation:
Here, we want to find the probability that a randomly selected television is connected to the internet given that it is voice-controlled
let P(V) is the probability of selecting a voice controlled television
P(I) is the probability that a selected television is connected to the internet
So the probability we want to calculate according to Baye’s theorem will be;
P(I|V) = P(I n V)/P(V)
P( I n V) = 22%
P(V) = 32%
So the probability is;
22%/32% = 0.6875 which is approximately 0.69
Answer: 0.69
Step-by-step explanation:
^ which equation represents the relationship shown in the table ??
Answer:
y=2x+5
Step-by-step explanation:
Given that log, xy = 2 + 3 log, x - log, y, express y in terms of x.
Answer:
the answer could be y=10+×
Step-by-step explanation:
its a long calculation.First,separate log xy into log x +log y and do it like usual way of doing algebra.then,cancel log(change 2 to log 10^2 bfr that) and u must get y^2=10^2+x^2.then square root the whole equation.
what is the mean of 2 4 5 6 8
Answer:
The mean of 2 4 6 8 is 6
bc Means is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Step-by-step explanation:
Hope this helps :)
A mean is an arithmetic average of a set of observations. The mean of 2, 4, 5, 6, and 8 is 5.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
The mean of 2, 4, 5, 6, and 8 can be written as,
Mean = (2+4+5+6+8)/5 = 25/5 = 5
Hence, the mean of 2, 4, 5, 6, and 8 is 5.
Learn more about Mean:
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Which letters shown below on the number line also have their opposites labeled
One ninth of the students in Mr. Beck’s class list red as their favorite color. Twice as many students call blue their favorite, and three times as many students prefer pink. The rest name green as their favorite color. If 6 students call blue their favorite color, how many students are in Mr. Beck’s class?
Answer:
27
Step-by-step explanation:
this is because 6 students is 2/9th of the class and if we divide that by two we get 3. 3 is 1/9th od the class so we multiply it by 9 to get 27 which is how many students should be in his class if i am right
The seventh grade enrollment at Main Middle School reduced from 615 students to 492 students. By What percentage was the number of students reduced?
Answer:
492 *100/625 =80 %
Step-by-step explanation:
Where [*]= Multiply
Amount of daylight each day varies
with the time of the year.
Identify the independent variable.
A
daylight
00
time of year
The independent variable is time of year
Answer:
The number of daylight hours a city in North America receives each day is dependent
PICTURE PROVIDED HERE!
What is the length of BD?
A. 2
B. 6
C. 4
Answer:
i think its a
Step-by-step explanation:
At a college bookstore, Tanisha bought a Math Textbook and a Novel for $54. If the price of the Math Textbook is $8 more than 3 times the price of the Novel, then how much is the price of each book?
Answer: Price of Math Textbook= $42.5, Price of the Novel= $11.5
Step-by-step explanation:
Let x = price of the Novel.
Price of Math Textbook = 8+3x
As per given , we have
Price of Math Textbook + Price of the Novel = $54
⇒ 8+3x+x = 54
⇒ 8+4x=54
⇒ 4x = 46 [subtract 8 from both sides]
⇒ x = 11.5
Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5
Hence, Price of Math Textbook= $42.5, Price of the Novel= $11.5
15 points and BRAINLIEST John and his sister each bought a car in 2005. John's car cost $3,000 and is decreasing in value $150 per year. The value () of his sister's car x years after 2005 is given by
the function V(x) = 250x + 4,000. Which statement correctly compares the values of the cars from 2005 until 2017?
Answer:
C
Step-by-step explanation:
I need help with this please.
Answer:
1) B
2)A
Step-by-step explanation:
1) The only on that made sense really!
2) Also the only one that made sense!
Answer:
5.) b
6.)a
Step-by-step explanation:
5.) b
3x - 24 = 81 (add 24 on both sides)
3x = 105 (divide by 3 on both sides)
x = 35 or 105/3
6.) a
-5x - 25 = 78 (1st add 25 on both sides)
-5x = 103 (2nd divide both sides by -5)
x = -20.6
Hope this helps ya!!
I need to find the X pls help
Answer:
8
Step-by-step explanation:
11/22= 0.5 multiply 16 and 0.5 and you get 8
Answer: i might be wrong and i apologize if i am but i think its 15.125
Step-by-step explanation: