Answer:
Coordinate of 0 = [tex]\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)[/tex]Step-by-step explanation:
Let AOB be the line segmentPoint 'O' divides the line segment into m:n = 3:2Given:
Coordinate of a = (a+b, a-b)Coordinate of b = (a-b, a+b)Ratio = 3:2ToFind:
Coordinate of 0 (zero)Solution:
ATQ,
[tex]\dfrac{m}{n}=\dfrac{3}{2}[/tex]Coordinate of a = (x[tex]_{1}[/tex], y[tex]_{1}[/tex])Coordinate of b = (x[tex]_{2}[/tex], y[tex]_{2}[/tex])As we know that,
[tex]\implies\:\:x = \dfrac{mx_{2} + nx_{1}}{m + n}[/tex]
[tex]\implies\:\:x = \dfrac{(a-b)3 + (a+b)2}{3+2}[/tex]
[tex]\implies\:\:x = \dfrac{3a - 3b + 2a + 2b}{5}[/tex]
[tex]\implies\:\:\red{x = \dfrac{5a - b}{5}}[/tex]
Similarly,
[tex]\implies\:\:y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]
[tex]\implies\:\:y = \dfrac{(a+b)3+(a-b)2}{3+2}[/tex]
[tex]\implies\:\:y = \dfrac{3a+3b+2a-2b}{5}[/tex]
[tex]\implies\:\:\red{y = \dfrac{5a+b}{5}}[/tex]
Hence,
Coordinate of 0 is [tex]\blue{\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)}[/tex]
Plz help!! I’m a bit confused
A student pays for pounds of apples with a $ bill. How much change does the student receive? Answer parts a and b. a. What do you do first to solve the problem? ▼ the number of pounds of apples by the price per pound
A student pays for 8.9 pounds of apples with a 10$ bill. Its $1.09 per pound. How much change does the student receive? What do you do first to solve the problem?
Answer:
$0.299
Step-by-step explanation:
Given that :
Pounds of apple purchased = 8.9 pounds
Price per pounds of apple = $1.09
Bill issued = $10
First, we calculate the total cost of 8.9 pounds of apple :
(Number of pounds * price per pound)
($8.9 * 1.09) = $9.701
Amount of Change :
Bill issued - total cost
$10 - $9.701
= $0.299
Please help!! And show work please! I'll give brainlist..!
How would you use a table to graph –3x + 4y = 23?
Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line
Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed
Question 2 (1 point)
Evaluate: 12 + (-4)
16
8
-16
-8
Pleaseee helpppp!!!!! I keep getting this answer wrong on the test :(
Angie is thinking of a number that is divisible by both 8 and 12. What is the smallest number that Angie could be thinking of?
Answer:
24
Step-by-step explanation:
Answer:
Angie is thinking of the number 24.
Explanation:
24 can be divided into 8 three times & can be divided by 12 only two times.
Mary borrowed $840 from her friend to help pay for a trip. She paid him $40 every
week until the debt was paid.
How many weeks did it take Mary to pay her debt?
A. 40
B. 35
C. 32
D. 21
Answer:
d.21
Step-by-step explanation:
840/40=21
Answer:
21 Weeks
Step-by-step explanation:
$840 ÷ 4 weeks = 21
You can also reverse work this by multiplying $40 by the other choices!
$40 x 40 = $1600
$40 x 35 = $1400
$40 x 32 = $1280
$40 x 21 = $840
As we can see, D is the only answer that makes sense, therefore 21 weeks is the answer.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Help pleaseeeeeeeeeeee.
Answer:
(-10, 9)
Step-by-step explanation:
9x+9y=-9
Use substitution method
9(-10)+9y=-9
Order of operations(PEMDAS)
-90+9y=-9
Add 90 to both sides
(-90+90)+9y= -9+90
9y=81
Divide 9 from both sides
(9/9)y=81/9
y=9
Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands. Happy Holidays.
Answer:
Step-by-step explanation:
in this case, we already know that x= -10 so we can substitute in the other problem, -10x9 = -90 so now we can get rid of that by adding + 90 on each side making it 9y=81 by this time, we see that both sides are divisable by 9 divide both by nine and you get: 1y=9 from that you can finally answer the question with
x= -10 y= 9
Which of the following is a function? *
{(5, 0), (0, −8), (5, −5)}
{ 5, 0, -8. -5}
Option 5
{(5, 0), (0, 5), (−5, −5)}
{(5, 0), (−8, −5), (−8, 5), (−5, −8)}
Answer:
{(5,0),(0,5),(-5,-5)}
Step-by-step explanation:
Find the measure of angle A
Answer:
43°
Step-by-step explanation:
(x + 53)° + (x + 74)° + 73° = 180°
(x + 53 + x + 74)° = 180° - 73°
(2x + 127)° = 107°
2x + 127 = 107
2x = 107 - 127
2x = - 20
x = - 20/2
x = - 10
[tex]m\angle A = (x +53)\degree \\\\
m\angle A = (-10 +53)\degree \\\\
m\angle A = 43\degree \\\\
[/tex]
what is the value of x when y=10?
Answer:
x would be 1
Step-by-step explanation:
following data, what would be the value of x?
Answer:
The answer is C. 10
Step-by-step explanation:
Answer:
Step-by-step explanation:
question please
Sahai took $40 to the local carnival. The entrance fee to get into the carnival cost X dollars. Sahai paid for 5 people (including herself) to get into the carnival. Write an expression that represents the amount of money, in dollars, that Sahai had after she paid for the entrance fee for the 5 people.
Answer:
40-5x
Step-by-step explanation:
Sahai starts with 40 and loses 5 times the entrance fee, which is represented by x. So, 40-5x is the expression
If u get this right I’ll mark u as brainlist
Answer:
c
Step-by-step explanation:
NEED ANSWER PLEASE WILL GIVE BRAINLIEST
Let fx) = 8x-7.
What is f4)?
Answer:
f(x)=25
Step-by-step explanation:
f(x)=8x-7
f(4)=8.4-7
f(4)=32-7
f(4)=25
v-20 in radical from
Answer: V - 20
Step-by-step explanation: Hope this helps
Select all ratios equivalent to 5:10 select all that apply
Answer:
8:16 and 7:14
Step-by-step explanation:
5:10 is a 1 to 2 ratio and so are 8:16 and 7:14
Answer:
8:16 and 7:14
Step-by-step explanation:
It is a half and half ratio
I have a limited time
Answer:
11
Step-by-step explanation:
Click on photo if neccessary
Factor the following expression: x^2+3x
Step-by-step explanation:
Hey there!
Given;
[tex] = {x}^{2} + 3x[/tex]
~ Take "X" common.
=[tex]x(x + 3)[/tex]
Therefore, "x" and "x+3" are the factors if the expression.
Hope it helps...
What is the initial value of the exponential function represented by the table?
One-eighth
One-fourth
One-half
1
I need a quick asnwer!!!
Answer:
third one
Step-by-step explanation:
Answer:
Its the third one you welcome
Step-by-step explanation:
can someone please help me
Answer:
I think it's -2p or 2p-4
12- [3 - (13) * 2]
I need work shown
Answer:
35
Step-by-step explanation:
Answer:
12−(3−(13)(2))
=12−(3−26)
=12−(−23)
=35
Step-by-step explanation:
What is the RANGE and the IQR for 17,18,22,17,16,21,19,and16
Answer:
so 1- 2 is negative 3 so minus tha by 3 than 4x2
Step-by-step explanation:
question is attached!
Answer:
$3,000 was invested in the account that gained 13%
$17,500 was invested in the account that lost 10%
Step-by-step explanation:
Let the amount in both accounts be x and y
x for the first and y for the second
Adding both is 20,500
x + y = 20,500 •••••(i)
First account earned 13% profit
= 13/100 * x = 0.13x
Second account, a loss of 10%
= -10/100 * y = -0.1y
Total loss of -1,360
This is;
-0.1y + 0.13x = -1,360 •••••••(ii)
From i, x = 20,500-y
Insert this into ii
-0.1y + 0.13(20,500-y) = -1,360
-0.1y + 2665 -0.13y = -1360
-0.23y = -1360-2665
-0.23y = -4025
y = -4025/-0.23
y = 17,500
To get x, we have
x = 20,500 -y
x = 20,500- 17,500
x = 3,000
hi need help with math
some one help
Answer:
Ether C or D. hope this helps
If the m =1/2 and the b = -2, then the linear equation is
Answer: y= 1/2x - 2
Step-by-step explanation:
y= mx+b
m= 1/2 (plug it in)
b= -2 (plug it in)
x= ?
Select the correct answer.
You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30%. How many
triangles can you construct using these measurements?
А.0
В.1
C.2
D. infinitely many
Answer:
D. infinitely many
Step-by-step explanation:
I assume that percentage sign is a degree symbol.
If there are only two sides given, there can be an infinite amount of triangles
