Answer:
The equation of the parabola
( y +2 )² = 16 (x-2)
Step-by-step explanation:
Step(i):-
Given the focus of the Parabola ( 6, -2 )
we know that the Focus of the Parabola
( h + a , k ) = ( 6 , -2 )
Comparing
h + a = 6 ...(i)
and k = -2
Given directrix of the parabola
x = -2
The directrix of the parabola x = h - a = -2
h - a = -2 ...(ii)
Adding (i) and (ii) equations , we get
h + a + h-a = 6 -2
2 h = 4
⇒ h = 2
Substitute 'h' = 2 in equation (i) , we get
h + a = 6
2 + a = 6
a = 6 -2 =4
Step(ii):-
The equation of the parabola having Vertex ( h,k) = (2 , -2) and a = 4
[tex](y-k)^{2} = 4a ( x-h)[/tex]
( y - (-2))² = 4 (4) ( x -2)
Final answer:-
The equation of the parabola
[tex](y-(-2))^{2} = 4(4) ( x-2)[/tex]
( y +2 )² = 16 (x-2)
I WILL GIVE BRANIST plz help me
Answer:
10/8
Step-by-step explanation:
What you should do is awfully simple. Multiply 2 by 5 and put the product over 8.
(2 * 5)/8
10/8
The problem does say to leave my answer as an improper fraction, so 10/8 is the final answer.
Complete the pairs of corresponding parts if △RST ≅ △TXY.
ST =
TY
XY
TX
Answer:
As
ST is corresponding to XY
Hence, we conclude that:
ST = XYStep-by-step explanation:
Given
△RST ≅ △TXY
To determine:
ST = ?
As
△RST ≅ △TXYSo the triangles △RST and △TXY are congruent to each other.
We know that congruent triangles have equal corresponding parts.Please check the attached graph.
From the graph, it is clear that:
RT is corresponding to TY.ST is corresponding to XY.RS is corresponding to TX.We need to determine ST
as
ST is corresponding to XY
i.e. ST = XY
Hence, we conclude that:
ST = XY
How long does it take for an investment to quadruple in value if it is invested at 11% compounded
continuously? Type the exact answer as your answer (no decimal approximations).
Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:
100 * (1+1.07)x = 400
Then we will take 400 and divide it by 100 getting:
1.07X = 4
Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X
Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.
2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula
where:
P (principal) is equal to hypothetical $100
E (e) is a mathematical constant, which is approximately 2.718
R (rate) is the interest rate, in our case it is 5.5%
T (time) is the time required for money to grow
A (amount) is the final amount desired, which is 4 times larger of $100, thus $400
We have the following:
400 = 100 * e0.055t
400/100 = e0.055t
4 = e0.055t
Then we will apply natural log to both sides of the equations and get the following:
ln(4) = ln(e0.055t)
Since e is the base of ln(x) the equation simplifies to:
ln(4) = 0.055t
Using the calculator to find ln(4) we are getting:
1.38629 = 0.055t
Lastly find t
t = 1.38629/0.055
t = 25.20535202
Plug the answers back to the original equation to verify the answers.
1st part of the question answer: t = 20.4895
2nd part of the question answer: t = 25.20535202
Mia buys a house for $95,500, restores it, and then sells it for $126,060. Find the percent of change.
Answer:
32%
Step-by-step explanation:
(126060$-95500)/ 95500
30560/95500×100%
32%
Add 40c - 6 and -25c -13
How would the equilibrium change if the temperature were increased in
SO2(g) + NO2(9) = NO(g) + S03(g) + heat?
A. Only the reaction rate would change.
B. The equilibrium constant would decrease.
C. The amount of NO and SO3 would increase.
D. The amount of NO2 and SO2 would increase.
Answer:
D. The amount of NO2 and SO2 would increase.
Step-by-step explanation:
This is an exothermic reaction as Heat is among the products. Increasing the temperature would lead to more products in the reaction system. In order for the system to annul this change, more reactants would be formed.
The correct option is;
D. The amount of NO2 and SO2 would increase.
SAS, SSS, ASA, OR there is not enough information to determine congruence. please answer this asap !
pls help I'm so confused X+8 What is the solution of 5x-1 > O? O x5-8 or X> 5 1 0x 5 x8 1 0 -85 0 -8 < X < 7
Step-by-step explanation:
(x + 8) / (5x - 1) > 0
Multiply both sides by (5x - 1)², which is always positive for all real values of x in the domain.
(x ≠ 1/5)
=> (x + 8)(5x - 1) > 0
=> x < -8 or x > 1/5.
The answer is the 2nd option.
What is the constant in the expression -18 - 3a
Answer:
'-18' is the constant in the expression -18 - 3a.
Step-by-step explanation:
We know that in an algebraic expression the constant term has a fixed value and it can not be changed.
For example,
The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.
IN OUR CASE,
Given the expression
-18 - 3a
As '-18' is a fixed number and its value can not be changed.
Therefore, '-18' is the constant in the expression -18 - 3a.
A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats are empty?
Which of the following statements is true?
Answer:
B - (0,0) is a solution to n = m and to n = 4m
Step-by-step explanation:
The only place where a number meets the same value multiplied by 4 is at (0,0). Otherwise it's just the same function just with a different slope
Which of the following is true about the inequality below?
*>9
A. The inequality has an infinite number of solutions.
B. The inequality has no solutions.
C. The inequality has 2 solutions.
D. The inequality has 1 solution.
i need to know asap!!!
Answer:
I'm guessing A, but am not sure, as for any number can go there if it's over 9!
I will mark you brainliest if you answer this
Step-by-step explanation:
For the denominator to become 100, we multiply 2 to the numerator and denominator:
23/50 = (23 * 2)/(50 * 2) = 46/100 = 46%.
Answer:
[tex] \frac{23}{50} = \frac{23 \times 2}{50 \times 2} = \frac{46}{100} = 46\%[/tex]
46% is the right answer.
Which of the following expression(s) are fourth-degree trinomials? Select all that apply.
A. 3x²y + 5x3y + 6yA
B. 6y + 5x3 + 1
C. 5xy - 5x?y2 + 7
D. 3y2 + 3x3y2
Answer:
Options A and B are polynomial of the fourth degree
Step-by-step explanation:
In this problem, option
A. 3x2y + 5x3y + 6y4
Is a Polynomial of the fourth degree because of the 6y⁴ term which is the highest degree
Also the option
B. 6y4 + 5x3 + 1 has a 6y⁴ term which indicates that the polynomial is a fourth degree polynomial
What is the degree of a polynomial?
In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer
PLEASE HELP I WILL GIVE YOU BRAINLIST!!!
Wilson bought a painting for x dollars. After 1 year, the value of the painting increased by 5%. Which expression best represents the new value of the painting?
Answer:
1,000$
Step-by-step explanation:
::::::::::::::::::::::::::::)
Answer:
1.05x
Step-by-step explanation:
What is the value − 3 1/4 ∙ 2 1/3
Answer:
the value of this is-217÷4 = -54.25
In the chemical formula 2SO2, how many total atoms of oxygen (O) are there?
Answer:
4
Step-by-step explanation:
2 molecules of SO2
each molecule contains 2 atoms of Oxygen
Answer:
Step-by-step explanation:
A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the king give to each of his sons
Answer:
1/5
Step-by-step explanation:
since there is 5 sons they divide the land in 5.
5.) g(x) = -4x + 2. Find x when g(x) = 22.
I'm on a timed test and I wasn't able to study because of personal reasons
Answer:
x = -5
Step-by-step explanation:
If g(x) = 22 and g(x) = -4x + 2, then -4x + 2 = 22.
Isolate x.
-4x = 22 - 2
= -4x = 20
= x = 20 ÷ -4
= x = -5
What are is the answer here and why? Use the notes in the left.
Answer:
X = 3.
explanation is in the picture.
hope it helps.
Answer:
x = 3
Step-by-step explanation:
2(3x -5) + 3x + 3 = 20
^^ solve parenthesis
6x - 10 + 3x + 3 = 20
+10 +10
add ten to both sides
6x + 3x + 3 = 30
add like terms
9x + 3 = 30
-3 -3
subtract 3 from both sides
9x = 27
divide both sides by 9
x = 3
Stacy spent £20 on ingredients for bread.
She made 18 loaves and sold them for £1.40 each.
Calculate her percentage profit.
Answer:
Stacy made £25.2 from the 18 loaves of bread. So She made £5.20 as a profit.
Step-by-step explanation:
18 loaves of bread × £1.4 = £25.2 Round it up = £25
£25.20 - £20 = £5.20 Round it up = £5
Stacy Made about £5 as profit.
4x^2 - 12x - 3
what would the answer be if x = 7
Answer:
4(7)^2-12(7)-3
4×49-84-3
112-3
109
Answer: Your correct and final answer should be 109.
Step-by-step explanation:
All you need to do solve this problem is substitute for X using 7. {After you you plug just use PEMDAS and solve from left to right or use a calculator}
4(7)^2 -12(7) -3
4×49 -84 -3
112-3 = 109
Find the equation of the line shown
Step-by-step explanation:
at 3=3
at 0=9
at 4=1
[tex]y = ax + b[/tex]
[tex]1 = 4a + b \\ 3 = 3a + b \\ 2 = - a \\ a = - 2 \\ 1 = - 4 \times 2 + b \\ b = 1 + 8 = 9 \\ y = - 2x + 9[/tex]
Answer:
y=-2x+9
Step-by-step explanation:
From looking at the line you can already tell that the slope is going to be negative, and the y-intercept is going to be 9, since that's where y is when x is 0. You can see that when x is one, y is 7. When x is 2, y is 5. And when x is 3, y is 3.
So:
0: 9
1:7
2:5
3:3
And the difference of y over the difference of x is the slope
-2/1=-2
So the slope is -2
Therefore, putting the equation together makes:
y=-2x+9
Hope this helps!
please help
g(x) = -x - 1
Answer:
g(x) = -1
Hope this helps.
Step-by-step explanation:
Laura tiene una tarifa de telefono en la que paga solo por el tiempo que dura cada llamada .Si un minuto cuesta o,16€ ysu ultima llamada duro 3,15 min ¿cuanto tendra que pagar?
Answer:
50,4 €
Step-by-step explanation:
De la pregunta anterior,
1 minuto = 16 €
3,15 minutos = x
Cruz multiplicar
x × 1 minuto = 16 € × 3,15 minutos
x = € 16 × 3,5 minutos / 1 minuto
x = 50,4 €
Por tanto, por una llamada de 3,15 minutos, Laura tendrá que pagar 50,4 €.
Which has a greater slope (Rate of change)?
the graph
the table
Answer:
The graph
Step-by-step explanation:
The graph has a slope of 2 while the table has a slope of 1.
2-1/6/5=1/1=1
2>1
Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply
Answer:
A. the domain is all real numbers. and
B.the y-intercept is 3
inverse operations to solve the equation.
2/3(z)=(-2)
Answer: z = -3
Step-by-step explanation:
2/3z = -2
2z = -6 (Multiply both sides by 3)
z = -3 (Divide both sides by 2)
Select all of the zeros of the polynomial
g(x)=x^4+6x^3+6x^2−24x−40
(A). -2
(B). 2
(C). 1
(D). 4
(E). -4
(F). 8
Answer:
-2, 2
Step-by-step explanation:
those are the answers uwu
A roller coaster has 3 trains with 7 rows per train. Riders stand in rows of 6, for a total of 42 riders per train. The operators of the coaster recorded the number of riders on each train during a run. On the first train, the operators reported that 6 rows were filled. On the second train, all 7 rows were filled. On the third train, 4 rows were filled. How many rows were empty on the first train? How many additional riders would it take to fill those empty rows?
Answer:
a. 1 row
b. 6 people
Step-by-step explanation:
a. Each train has 7 rows yet the first train only had 6 rows filled up. This means that:
= 7 - 6
= 1 row was empty
b. Riders stand in rows of 6 which means that one row has 6 people. With only 1 row empty, the number of people needed will be:
= 6 people
