Answer:
The equation that says P is equidistant from F and the y-axis is [tex]P(x,y) =\left(1,\frac{3+y'}{2} \right)[/tex].
(1, 0), (1, 3/2) and (1,6) are three points that are equdistant from F and the y-axis.
Step-by-step explanation:
Let [tex]F(x,y) = (2,3)[/tex] and [tex]R(x,y) =(0, y')[/tex], where [tex]P(x,y)[/tex] is a point that is equidistant from F and the y-axis. The following vectorial expression must be satisfied to get the location of that point:
[tex]F(x,y)-P(x,y) = P(x,y)-R(x,y)[/tex]
[tex]2\cdot P(x,y) = F(x,y)+R(x,y)[/tex]
[tex]P(x,y) = \frac{1}{2}\cdot F(x,y)+\frac{1}{2} \cdot R(x,y)[/tex] (1)
If we know that [tex]F(x,y) = (2,3)[/tex] and [tex]R(x,y) = (0,y')[/tex], then the resulting vectorial equation is:
[tex]P(x,y) = \left(1,\frac{3}{2} \right)+\left(0, \frac{y'}{2}\right)[/tex]
[tex]P(x,y) =\left(1,\frac{3+y'}{2} \right)[/tex]
The equation that says P is equidistant from F and the y-axis is [tex]P(x,y) =\left(1,\frac{3+y'}{2} \right)[/tex].
If we know that [tex]y_{1}' = -3[/tex], [tex]y_{2}' = 0[/tex] and [tex]y_{3}' = 3[/tex], then the coordinates for three points that are equidistant from F and the y-axis:
[tex]P_{1}(x,y) = \left(1,\frac{3+y_{1}'}{2} \right)[/tex]
[tex]P_{1}(x,y) = (1,0)[/tex]
[tex]P_{2}(x,y) = \left(1,\frac{3+y_{2}'}{2} \right)[/tex]
[tex]P_{2}(x,y) = \left(1,\frac{3}{2} \right)[/tex]
[tex]P_{3}(x,y) = \left(1,\frac{3+y_{3}'}{2} \right)[/tex]
[tex]P_{3}(x,y) = \left(1,6 \right)[/tex]
(1, 0), (1, 3/2) and (1,6) are three points that are equdistant from F and the y-axis.
Giovanni justifies whether the expression -4x-8 is equivalent to -2(x+1)-2(x+3) by letting x=3 in both expressions. What is the value of each expression when x=3.
3 and -20
4 and 4
-20 and -20
3 and 4
Answer:
The value of each expression when x=3 will be -20 and -20.
Step-by-step explanation:
Given the expression
-4x-8
setting x=3
= -4(3)-8
=-12-8
=-20
Given the expression
-2(x+1)-2(x+3)
setting x=3
=-2(3+1)-2(3+3)
=-2(4)-2(6)
=-8-12
=-20
so we conclude that the value of both the expressions was -20 when we substituted the value x=3.
Therefore, the value of each expression when x=3 will be -20 and -20.
Solve the following system of equations using the elimination method. 9x – 5y = –16 and –3x + 7y = –16
A)
(–4,–4)
B)
(–2,–3)
C)
(4,4)
D)
(0,–5)
Answer (-2,-3)
Step-by-te exnation:
multiply the equation by number
Which mathematical inequality represents the following statement?
Six times a number is greater than 3 less than 4 times the same number.
Answer:
6x > 3 < 4x
Step-by-step explanation:
..................
PLZ ANSWER !! DUE ASAP PLS
Answer: - 8/5
Step-by-step explanation:
M1*M2=-1
Substuting M1 as 5/8
We get
5/8*M2=-1
M2=-8/5
a rectangular box of mass 40 kg has a length of 5m and a width of 8m and a height of 3 m find its density in kg/m3
Answer:
1/3 kg/m3
Step-by-step explanation:
density= mass/volume
mass=40 kg
volume=5m×8m×3m=120m³
density=40kg/120m³=1/3 kg/m³
Answer:
1/3 kg per cubic m or 0.33kg per cubic m
Step-by-step explanation:
density = mass
volume
= 40kg = 40kg
5m x 8m x 3m = 120cubic metres
= 1/3 kg per cubic m or 0.33 kg per cubic m
How many ? Help me as soon as possible
Answer:
3 meters
Step-by-step explanation:
Distance covered in 1 second
[tex] = \frac{7.5}{2.5} \\ \\ = 3 \: m[/tex]
Will give brainliest if correct.
Answer:
Step-by-step explanation:
a. $7.
b. $1x.
c. $20.
d. $5y.
e. $1x + $5y.
I hope this helps, sorry if I am incorrect. Have a nice day!
Tony has a 44 inch shelf. The 2 cups shown on the
shelf are each 4 in. wide. Tony wants to place
additional cups that are each 2 1/4 in. wide on the
remainder of the shelf.
1
44 in.
Approximately how many more cups can Tony
place on the remainder of the shelf?
11
19
16
Answer:
C. 16
Step-by-step explanation:
If you have 44 in space and 2 cups already on there ( 4 in) you now only have, 36 in space left.
So, 16 multiplied by 2 1/4 or 2.25 in decimal is 44 in total.
Therefore you need approximately 16 more cups.
Brainliest pls?
please help, thank you
-4w – 4 = 8, w = ?
Answer:
-3
Step-by-step explanation:
Answer:
w = -3
Step-by-step explanation:
-4w - 4 = 8 (add 4 on both sides)
-4w = 12 (divide by -4 on both sides)
w = -3
Hope this helps!!
pls help with this division
x^2+3x+6
Step-by-step explanation:
this is the answer I got for some reason it is not an option on your question
S.
If the selling price of an article is
4/5th of its cost price, find the loss percent
Answer:
1-4/5
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
4/5 = 80
80 is the price percentage.
5/5 - 4/5 = 1/5
1/5 = 20
so, 20%
if a dog can eat one thirds of a bag of food in 1/2 a week how many bags of food can the dog eat in one week
Answer:
Two thirds of a bag.
Step-by-step explanation:
1/2 * 2 = 1
1/3 * 2 = 2/3
Hope this helped!
The selling price of a car is $18,000. Each year, it loses 15% of its value. Find the exponential function that gives the value of the car t years after its purchase. Write your answer in the form f(t)=a(b)t.
Answer:
f(t)=18,000(0.85)^t
Step-by-step explanation:
18,000 is the a value, and since it is depreciating 15% becomes -.15
so we are going to set it up like f(t)=18,000(1-0.15)^t
Final answer is f(t)=18,000(0.85)^t
The exponential function that gives the value of the car t years after its purchase is f(t) = $18,000(0.85^t).
What is the exponential function that represents the value of the car?
The car would cost less with the passage of time. This is because it loses its value with the passage of time.
The formula that can be used to determine the value of the car is:
FV = P (1 - r)^n
FV = Future value P = Present value R =rate of decline in valueN = number of yearsf(t) = $18,000 x (1 - 0.15^t)
f(t) = $18,000(0.85^t)
To learn more about exponential function, please check: https://brainly.com/question/18760477
I need to know this ASAP. I will give you 25 Points and a brainly crown thing.
Answer:
The answer is C.
Step-by-step explanation:
Mrs. Daniels recorded the weights of nine boxes of strawberries in her booth at a farmer's market. The weights of the boxes
shown.
2
What is the average weight, in pounds, of the boxes of strawberries?
OB.
OA 13 pounds
1 pounds
OC. 2 pounds
OD. 2, pounds
Reset
Next
Answer:
The answer is C. 2 pounds
Step-by-step explanation:
Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.
This is for the ones on Plato
3(4a + 2) = 2(a - 2)?
Answer:
A= -1
Step-by-step explanation:
Please help! due today!
Answer:
A
Step-by-step explanation:
Use pythagorean theorem: a^2+b^2=c^2
12^2+x^2=13^2
144+x^2=169
x^2=25
x=5
HTH :)
I need to find the slope for the question: 6y-14x=2
Answer:
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth if necessary.
Answer:
69.7
Step-by-step explanation:
[tex]x^{2} + 6^{2} = 70^{2}\\x^{2} + 36 = 4,900\\4,900 - 36 = 4,864\\\sqrt{4,864}\\69.7 = x[/tex]
If y = –2 whenx
1, find xwhen y = 4
Answer:
x=-1/2 decimal form -0.5
Step-by-step explanation:
Multiply -2 and 1 then divide by 4,-2/4. x = −1 /2
The point P(x,y) lies in the terminal side of an angle theta= -60° in standard position. What are the signs of the values of x and y?
Answer:
Step-by-step explanation:
x is positive and y is negative
Answer:
(x,-y)
Step-by-step explanation:
can anyone help ?\me with this algebra answer
Answer:
B) 2x-y=5
Step-by-step explanation:
Info we have:
The x-intercept is 2.5
The slope is 2/1=2
Therefore, our equation so far is y=2x+b
We plug in our x-intercept in and make y=0 to get b:
0=2(2.5)+b
0=5+b
-5=b
Therefore, the equation of the line is y=2x-5
Given our found equation, we can see which option works.
A is wrong because 2x+y=-5 -> y=-5-2x -> y=-2x-5
B is right because 2x-y=5 -> -y=5-2x -> y=-5+2x -> y=2x-5
C is wrong because x+2y=-5 -> 2y=-5-x -> y=-2.5-1/2x -> y=-1/2x-2.5
D is wrong because 2y-x=10 -> 2y=10+x -> y=5+1/2x -> y=1/2x+5
help ASAP!!!!!!!! AHSHJABDJA
A health club charges $35 a month for membership fees. Determine whether the cost of membership is proportional to the number of months.
Answer:
I think that it is proportional
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
9514 1404 393
Answer:
7/3
Step-by-step explanation:
The point at the right end of segment 5 is 7 units above and 3 units to the right of the point at the left end. The slope is the "rise" divided by the "run":
slope = m = rise/run = 7/3
The slope of segment 5 is 7/3.
-3y-2=7 what is the value of y
Answer:
y = -3
Step-by-step explanation:
Add 2 to each side to isolate the -3y. Doing this leaves you with -3y=9. You then divide each side leaving you with y = -3
Answer:
The equation has one solution at which y = -3.
Step-by-step explanation:
To find the value of y, we need to isolate it from the rest of the equation.
Add 2 to both sides of the equation.Divide by -3 on both sides of the equation.Simplify the equation if necessary.[tex]\displaystyle{-3y-2=7}\\\\-3y = 9\\\\\bold{y = -3}[/tex]
We can check to make sure that y = -3 by substitution.
[tex]\displaystyle{-3(-3)-2 = 7}\\\\9-2=7\\\\7= 7 \ \checkmark[/tex]
Because we got a true statement, we can determine that y = -3.
find 2 consecutive integers whose sum is -97
Answer:
The first integer is: -49
The second integer: -49+1 = -48
Solution Check:
-49+(-48) = -97
Step-by-step explanation:
Let the first integer: [tex]x[/tex]
As we are looking for a consecutive integer, so
The second integer would be: [tex]x+1[/tex]
We know the sum of these two integers is -97. Thus, we can write this equation and solve for 'x'.
[tex]x+\left(x+1\right)=-97[/tex]
[tex]x+x+1=-97[/tex]
[tex]2x+1=-97[/tex]
[tex]2x=-98[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{-98}{2}[/tex]
[tex]x=-49[/tex]
Therefore,
The first integer is: -49
The second integer: -49+1 = -48
Solution Check:
-49+(-48) = -97
What is the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2)?
Answer:
y = - (x - 5)² + 7Step-by-step explanation:
y = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
So the equation of the parabola with vertex (5, 7):
y = a(x - 5)² + 7
The parabola passes through point (2, -2) so if x=2 then y=-2
- 2 = a(2 - 5)² + 7
- 2 -7 = a(-3)² + 7 -7
- 9 = 9a
a = - 1
So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):
y = - 1(x - 5)² + 7
The vehicle's fuel efficiency is at least 35 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).
Answer:
f ≥ 35
Step-by-step explanation:
Took the test on Aleks, it was right! :)
please help me yall