The line segment, AB has a point C as its midpoint. If A is at (2,2) and C is at (5,4) what are the coordinates of the endpoint B
A:(-1,0)
B:(3.5,3)
C:(5,4)
D:(8,6)
Answers
Answer:
( 8 , 6 )
Step-by-step explanation:
A = ( 2 , 2 ) and C = ( 5 , 4 )
→ Form an equation
[tex]\frac{2+x}{2} =5[/tex] and [tex]\frac{2+y}{2}=4[/tex]
→ Now solve them
2 + x = 10 and 2 + y = 6
→ Simply find the values
x = 8 and y = 6
SOLUTION :
All you need to apply is the formula of Midpoint i.e [tex] \sf{ \bold{( \frac{x_{1} + x_{2}}{2} \: , \frac{y_{1} + y_{2}}{2} )}}[/tex] Plug the known values :[tex] \large{ \rightarrow{ \tt{ \: (5 \: ,4 \: ) = ( \frac{2 + x}{2} \: , \frac{2 + y}{2} )}}}[/tex]
Equating corresponding values :[tex] \large{ \tt{5 = \frac{2 + x}{2} }}[/tex]
[tex] \large{ \rightarrow{ \tt{10 = 2 + x}}}[/tex]
[tex] \large{ \rightarrow{\tt{10 - 2 = x}}}[/tex]
[tex] \boxed{ \large{ \rightarrow \tt{x = 8}}}[/tex]
Value of x = 8[tex] \large{ { \tt{4 = \frac{2 + y}{2} }}}[/tex]
[tex] \large{ \rightarrow{ \tt{8 = 2 + y}}}[/tex]
[tex] \large{ \rightarrow{ \tt{8 - 2 = y}}}[/tex]
[tex] \boxed{ \large{ \rightarrow{ \tt{y = 6}}}}[/tex]
Value of y = 6[tex] \large{ \boxed{ \tt{OUR \: FINAL \: ANSWER : \: D. \: (8 \:, 6 \: ) }}}[/tex]
:) Hope I helped! Let me know if you have any questions regarding my answer! ~
Related Questions
Can you please help me with my homework I don’t get it.
Answers
m= slope
b = y-intercept (The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.)
To start with, you’ll need two ordered pairs (x,y) from the line to solve for slope.
For the first graph:
Let (x1,y1) = (0,2)
(x2,y2) = (2,4)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - 0)
m = 2/2 = 1
Therefore, the slope (m) = 1.
Next, for the y-intercept, the point where it crosses the y-axis is at point (0, 2). Therefore, the y-intercept (b) = 2.
Thus, the linear equation of the first graph in slope-intercept form is: y = x + 2.
For the 2nd graph, do the same steps as we have done in the 1st graph:
Choose 2 ordered pairs:
Let (x1,y1) = (0,2) — right off the bat, this is the y-intercept.
(x2,y2) = (2,0)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (0 - 2)/(2 - 0)
m = -2/2 = -1
Therefore, the slope (m) = 1.
For the y-intercept, I noted earlier that (0,2) is the y-intercept. Hence, b = 2.
The linear equation in slope-intercept form of the 2nd graph is: y = -x + 2
Please mark my answers as the Brainliest if you find my explanations helpful :)
Graph the line with a slope of -5/3 that contains the point (3, -8)
Answers
Answer:
Step-by-step explanation:
How do you write 7 1 \12 as a whole number
Answers
Answer: 7
Step-by-step explanation:
Write as a decimal
7 1/2 would be written as ~7.0833
Rounding a decimal to the nearest whole number
If you have a decimal that is greater than or equal to 5 in the tenths place then you round up. Ex: 5.8 would be rounded to 6, 1.5 would be rounded to 2.
If you have a decimal that is less than or equal to 4 in the tenths place then you round down. Ex: 5.1 would be rounded 5, 1.2 would be rounded to 1.
Since 0 is in the tenth’s place we round down to 7.
There are 130 people in a sport centre.
61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
Answers
The probability that this person does not make use of the facility is 7/130
How to solve for the probability61+68+60 - 25-28-19 + 6
= 123
The total number of person in the sport center is given as 130
We have 130 - 123 = 7
This means that there are a total of 7 persons that do not make use of this facility.
Hence the probability of a person not using the facility is 7/130
Read more on probability here:
https://brainly.com/question/16798460?referrer=searchResults
#SPJ1
0 -7+ 3x -2 (3-44) 5(2x-3) +4(3x1)+4
Answers
Answer: you answer is
Step-by-step explanation:
can you add fractions with unlike denominators? if so what do you have to do.
Answers
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators.
To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.
write an absolute value inequality for the graph below. Use x for your variable.
Answers
Answer:
-4<x<4
Step-by-step explanation:
PLEASE HELP ME ASAP.
Answers
Step-by-step explanation:
anything whole or complete is designated as 100%.
what is x% of that whole ?
well, we need to multiply the whole with the same factor we need to multiply 100 with to get x.
100×f = x
f = x/100
whole × f = x% of the whole
so, when we are looking for 5%, what did that mean ?
it means that x = 5, and f = 5/100.
therefore, 5% of $13 is
13 × 5/100 = 65/100 = 0.65
so,
basic cost = $13
tax rate = 5%
tax amount = $0.65
and
basic cost = $13
tax amount = $0.65
total cost = 13 + 0.65 = $13.65
as 5/100 = 0.05
we have seen that the tax amount is simply $13×0.05
and when we add the tax amount to the basic cost, we need to add $13×1 (basic cost) to the $13×0.05 (tax amount), and we get as total
total cost = $13×(1+0.05) = $13×1.05 = $13.65
so, the decimal factor we can use directly without going through all the detail above is : 1.05
A triangle is shown
What is x?
What is y?
What is z?
Answers
Answer:
x = 44
y = 136
z = 136
Step-by-step explanation:
The angles of a triangle have to add up to 180°
54 + 82 + x = 180
136 + x = 180
x = 44
We know that y and z are vertical angles, so they have the same measurements.
Also, x and the other angle across from it are also vertical angles.
88 + 2n = 360
2n = 272
n = 136
Therefore,
x = 44
y = 136
z = 136
HELPPPPPPPPPPPPPPPPPp
Answers
Explanation:
The mean is the average of a data set; it is the number that falls directly in the middle of the data set.
The formula to find the average is: a=sum of terms/ number of terms.
Therefore, we just add up all the values in the data set and divide by how many numbers there are.
3+9+10+10+4+10+10+10/8 = 8.25. We added up all the numbers and then divided by how many numbers there were, which was 8.
8.25 rounded to the nearest tenth is 8.3.
Your answer is 8.3
Please give Brainliest!!!
Express the ratio below in its simplistic form 24:36
Answers
4:6 (divided 2)
2:3
Answer:
2 : 3
Step-by-step explanation:
24 : 36 ( divide both parts by 12 )
= 2 : 3 ← in simplest form
Deion is making sandwiches for a picnic. He uses 2 slices of cheese to make each sandwich,
and he has a package of cheese with 24 slices. How many sandwiches can Deion make before
he runs out of cheese?
answer quickly please!
Answers
Answer:
12 sandwiches
Step-by-step explanation:
We know that Deion has 24 cheese slices, and uses 2 slices per sandwich, so in order to find how many sandwiches he can make, we can divide the total number of cheese slices by the number used to make a sandwich:
24 / 2 = 12
Therefore, Deion can make 12 sandwiches before he runs out of cheese.
Hope this helps :)
please help thank you
Answers
Answer:
Obtuse angle = 126 degrees
Step-by-step explanation:
7+3 = 10
180/10 = 18
(18)(7) = 126 degrees
I need help with this!
How could the length of the shorter leg be determined without measuring it? What is its length?
Please use the Pythagorean Theorem and show me how you do it-- thanks.
Answers
Answer: 2.5 feet
Step-by-step explanation:
A 30-60-90 triangle is a special right triangle in which the sides all have a fixed relationship with each other. We only need to know one side to calculate the other two.
Make the side opposite the 30° angle x, then
The side opposite the 60° angle is x*√3The side opposite the 90° angle is 2xThe side opposite the right angle is 5ft, therefore:
2x = 5
x = 2.5ft, the side opposite the 30° angle
Then x*√3 is the third side:
(2.5)*(1.442) = 3.605 feet
Isabel is saving money to buy a game. The game costs $30, and so far she has saved two-thirds of this cost. How much money has Isabel saved?
so
Answers
Answer: 20 $
divide 30 by [tex]\frac{2}{3}[/tex]
30 / [tex]\frac{2}{3}[/tex] = 20
she has saved 20 $ so far
certain store's sales increased by 167% compared to the previous year. How many squares would be shaded on 10 x 10 grids to represent 167%?167 squares
67 squares
100 squares
33 Squares
Answers
Answer:
alam nio ba filipino talaga ako hahahah
John has a part time job.
He is paid £6.80 per hour.
This week he worked for 9 1/2 hours.
Work out John's total pay for this week.
Answers
Step-by-step explanation:
Given,
John get paid for working per hour = £6.80
he worked this week = 9 1/2 hr can be written as 19/2 hr.
so, total amount he will get paid for working 19/2 hr
= 19/2 × 6.80
= 19 × 3.40 = 64.60 or 64.6
therefore, John's total.pay of this week is £64.6.
hope this answer helps you dear...take care and may u have a great day ahead!
Explanation
convert 9 1/2 to a decimal
9.5 which is the hours he worked
then multiply his pay £6.80 by his hours worked 9.5
then you will get the answer £64.6
AABC has vertices at A(1, 1), B(4,5) and C(6,2). If the figures is reflected over the x-axis, what are the
coordinates of the vertices of triangle A'B'C?
A. A'(-1,-1), B'(-4,-5), C (-6, -2)
B. A'(-1, 1), B'(-4,5), C'(-6, 2)
C. A (-1,1), B'(-5, 4), C (-2, 6)
D. A' (1,-1), B' (4,-5), C' (6,-2)
Answers
Put the following equation of a line into slope-intercept form, simplifying all fractions. 5 x + 2 y = 10
Answers
Answer:
y = -5/2x + 5
Step-by-step explanation:
slope intercept form: y = mx + b
5x + 2y = 10 ------- subtract 5x on both sides
2y = -5x + 10 ------- divide 2 on both sides
y = -5/2x + 5
one hundred forty one millon six hundred twenty thousand written in standard form
Answers
Answer:
141,620,000
Step-by-step explanation:
I hope that's what you meant ^^
Answer:
141,620,000
Step-by-step explanation:
................
Factor [tex]x^{4} -8x^{2} -9[/tex]
Answers
Answer:
[tex](x^2+1)(x-3)(x+3)[/tex]
Step-by-step explanation:
x^2^2 - 9x^2 + 1x^2 - 9
= x^2(x^2 - 9) + 1(x^2 - 9)
= (x^2 + 1)(x^2 - 9)
= (x^2 + 1)(x-3)(x+3) <- (This is due to the a^2-b^2 theorem)
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
whats the slope of the line that passes through (9, 8) and (5, 15).
Answers
Answer:
-7/4
Step-by-step explanation:
1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]\frac{(15)-(8)}{(5)-(9)}[/tex] [tex]\frac{7}{-4}[/tex] [tex]-\frac{7}{4}[/tex]Therefore, the slope is -7/4.
-35 + ( -31 ) + ( -39 )
Answers
Answer:-105
Step-by-step explanation:
Answer:
Ok so, let's break it down
Step-by-step explanation:
-35+(-31)
Let's ignore the parenthesis and the - symbol
35+31
That would equal 66, so now we add back the - symbol which will make it -66
So we already have -66, so now we have -66+(-39)
We do the same thing we did with -35+(-31)
So we have 66+39
That makes -105
So your answer is -105
The price of a notebook has dropped to $3.45 today. Yesterday's price was $3.95. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answers
10%
Step-by-step explanation:
($3.95 - $3.45)/($3.95) × 100%
= ($0.50)/($3.95) × 100%
= 50/3.95 %
= 5000/395 %
= 1000/79 %
= 12,65 % → Round to the nearest tenth
≈ 10 %
if each border paving stone costs $4.75, how much will the stones on the border of the patio cost if there are 324 paving stones
Answers
Answer:
If there are 324 paving stones, it will cost $1539
Step-by-step explanation:
324 x 4.75 = 1539
The area of a square floor on a scale drawing is 100 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?
Answers
Answer:
900 ft
Step-by-step explanation:
I if 1 centimeter equals 3 ft and the dimensions are 10 cm by 10 cm then the real dimensions are 30 ft by 30 ft and that is 900 ft.
3m/6 - 2 > 3; m = 8
Answers
Answer:
2>3
Step-by-step explanation:
m = 8
3(8)/6 - 2 > 3
what’s the range?
a: time
b:rainfall
c:not given
Answers
Step-by-step explanation:
option B is correct range is rainfall.
hope this answer helps you dear!
Please solve the math problem for me... I will mark you brainliest
Answers
Answer:
the equation for the slope inception from
y=[tex]\frac{6}{5}[/tex][tex]x^{2}[/tex] + [tex]\frac{11}{5}[/tex]x + 34
Step-by-step explanation:
HELPPPP
What is the equation, in slope-intercept form, of the line that passes through
the point (7, 2) and is parallel to y= -2x+1?
Answers
Find the slope of the parallel line
(7, 2) and is parallel to y= -2x+1?
When two lines are parallel, they have the same slope.
⇒ if the slope of the given line is = - 2
then the slope of the parallel line (m) = - 2
Determine the equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 2 = - 2 (x - 7)
We can therefore write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 2 = - 2 (x - 7)
∴ y = - 2 x + 16