Answer:
y² = 38x + 79
Step-by-step explanation:
Since directrix is the line x = -13, then it means x + 13 = 0
Focus is F(-3, 9).
Let A(x, y) be any point inside the plane having the focus and directrix.
Let MA be the perpendicular distance from A to the directrix and it means that A lies on parabola provided FA = MA.
Thus;
√[(x - (-3))² + (y - 9)²] = (x + 13)
Squaring both sides gives;
(x + 3)² + (y - 9)² = (x + 13)²
>> (x² + 6x + 9) + (y² - 18x + 81) = x² + 26x + 169
>> 6x + 9 + y² - 18x + 81 = 26x + 169
>> y² = 26x + 12x + 169 - 90
>> y² = 38x + 79
What is the value of g?
g
70
Answer: 70
Step-by-step explanation:
easy
|x +2], if x>-1
Plz help
Answer:
Step-by-step explanation:
greater than 1 , is your teacher just giving you brain teaser questions? these seem like they are .. "out in the weeds" type of questions, not really useful math :/
Write the log equation as an exponential equation. You do not need to solve for x.
log, (5x + 4) = 3x – 4
I will give you BRAINLIEST for the correct answer
Answer:
d
Step-by-step explanation:
What two plane geometric figures are ALWAYS similar?
At Lincoln Middle School, 1/3 of the students play a musical instrument. Of the students who play instruments, 3/4 tried out for the class play. What is the probability that a student
selected at random plays a musical instrument and tried out for the class play?
25%
33%
66%
75%
The probability that a student selected at random plays a musical instrument and tried out for the class play is 25%.
To find the probability that a student selected at random plays a musical instrument and tried out for the class play, we need to multiply the probabilities of each event happening.
Given:
Probability of a student playing a musical instrument = 1/3
Probability of a student who plays an instrument trying out for the class play = 3/4
To find the combined probability, we multiply these probabilities:
Probability = (1/3) * (3/4)
Simplifying the multiplication:
Probability = 1/4
Converting the fraction to a percentage:
Probability = 1/4 * 100% = 25%
Therefore, the probability that a student selected at random plays a musical instrument and tried out for the class play is 25%.
To know more about probability here
https://brainly.com/question/23417919
#SPJ2
determine the speed in metres per second if it takes 10 minutes to walk 1,2 kilometre
Step-by-step explanation:
[tex]speed = \frac{distance}{time} \\ = \frac{(1.2 \times 1000)m}{(10 \times 60)s} \\ = \frac{1200m}{600s} \\ = 2 \frac{m}{s} [/tex]
Can you help me on algebra?
Answer:
the answer is :c^5 b^3
Order the measurements from largest to smallest.
4.9L , 4090ml , 1.4km , 4901m
Answer:
4090 ml - 4.9L
1.4km - 4901m
Step-by-step explanation:
A liter is made up of 1000 ml so 4.9 l is equvilant to 4,900 ml.
A kilometre same as litre is made up of a 1000 m. So 1.4 km is 1400m
However, ml and l is a measurement of volume while m and km is a measurement of distance.
Awesome Autos creates the following advertisement to compare the prices of its used cars to those of Cool Cars. Which statement best explains how Awesome Autos misrepresented the data? (could someone please help)
1
Step-by-step explanation:
Answer: A. The graph for Awesome Autos does not begin at 0 and makes its prices appear less than those of Cool Cars.
Find the perimeter of the figure to the nearest hundredth. perimeter: about __ in
Answer:
doze pulgadas12
Step-by-step explanation:
The only thing that matters of the world the same as a result of a few days later I have been a little bit of everything from the University to the point where the first place in the world and I have a feeling of being able to do it in the first half and half the size of a small amount of the most popular to
Answer: 26.85
I’m sorry, I don’t have a step by step thing but that should be the answer.
A). You plan to invest $1978 in an account with two different options. Option 1 earns 8.5% annually, with interest to be compounded continuously. How much money would you have in the account after 2 years?
B). You plan to invest $1978 in an account with two different options. Option 2 earns 8.5% annually, with interest to be compounded quarterly. How much money would you have in the account after 2 years?
C). You plan to invest $1978 in an account with two different options. Based on your two previous answers, which option would you choose and why?
Please hep me i will mark as the best please....
Answer:
A) $2,344.53
B) $2,340.36
C) Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B
Step-by-step explanation:
We solve for A and B using Compound Interest formula
A). You plan to invest $1978 in an account with two different options. Option 1 earns 8.5% annually, with interest to be compounded continuously. How much money would you have in the account after 2 years?
First, convert R as a percent to r as a decimal
r = R/100
r = 8.5/100
r = 0.085 rate per year,
Then solve the equation for A
The formula is given as
A = Pe^rt
A = 1,978.00(2.71828)(0.085)(2)
A = $2,344.53
B). You plan to invest $1978 in an account with two different options. Option 2 earns 8.5% annually, with interest to be compounded quarterly. How much money would you have in the account after 2 years?
First, convert R as a percent to r as a decimal
r = R/100
r = 8.5/100
r = 0.085 rate per year,
Then solve the equation for A
The formula is given as
A = P(1 + r/n)^nt
P = Principal = $1978
r = 0.085
n = compounded quarterly = 4
A = 1,978.00(1 + 0.085/4)(4)(2)
A = 1,978.00(1 + 0.02125)(8)
A = $2,340.36
C). You plan to invest $1978 in an account with two different options. Based on your two previous answers, which option would you choose and why?
Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B
un comerciante vendio pantalones de mezclilla a dos precios distintos, unos a 450 pesos y otros a 360 pesos. si obtuvo un total de 33390,¿cuántos pantalones vendio de cada precio?
Answer:
Spanish?
Step-by-step explanation:
You start at (2, 3). You move up 6 units. Where do you end?
Answer:
(2,9)
Step-by-step explanation:
we start at the point (2,3) and moving up 6 units
when we move up or down, we are changing the value of the y-coordinate. Since we are moving up, the value of the y-coordinate increases (makes sense, if you are thinking about a graph. The further you go up, the larger the y value becomes).
However, the x-coordinate will stay the same (no instructions on moving left or right {that changes the x value}). That means the y value will increase by 6 while the x value will stay the same.
so add 6 to 3 and get 9, and add nothing to 2
therefore, the point we end on will be (2,9)
if you would like to see a graph for clarity/visualization, please see below
Solve for x. round to the nearest tenth. please help!!
Please help me with this math question.
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 4 ← is in slope- intercept form
with y- intercept c = 4 → D
what is the answer to this fraction 4/8+2/8+4/8
Answer:
1 2/8 OR 1 1/4
Step-by-step explanation:
4/8 + 2/8 + 4/8 =
6/8 + 4/8 =
10/8 =
1 2/8 OR 1 1/4
Hope that helps!
I dont Know what to put here
But Anwer Pls
Answer:
QR, QT
Step-by-step explanation:
A radii is a line from the center of the circle to the circumfrence of the circle.
In this case the radii are QR, QT, and QK because they all start from the center of the circle which is point Q and stop at the circumfrence of the circle.
Since QK isn't an answer choice the only answers are ...
QR and QT
please anybody can help me to solve this question btw im from malaysia but the questions have the eng subtitle so you can read the eng subtitle, no worries! please help me to answer the questions
I NEED HELP WITH THIS
A cell phone is in the shape of a rectangular prism, with a length of 4 inches, a width of 2 inches, and a height of 1 inch. What is the volume of the cell phone?
Answer:
8
Step-by-step explanation:
V=whl=2·1·4=8
Volume = width times length times height = 2 x 1 x 4 =8
I hope this helps!!
Can anyone help me with this math equation?
Answer:
2/9
Step-by-step explanation:
1/3=3/9
5/9-3/9=2/9
Answer:
2/9
Step-by-step explanation:
1/3= 3/9
5/9 - 3/9 = 2/9
hope this helps
Can some one awnser the following
Answer:
-11
Step-by-step explanation:
It is the assumption of staff at NSA that 96% of students will graduate on time. Last year 150 out of 154 students graduated on time. What is the p-value and z-score of the graduation rate at NSA?
a. p = .625, z = .73
b. p = .73, z = .625
c. p = .96, z = 1.976
d. p = 1.10, z =0.986
Is the staff at NSA correct in assuming that 96% of NSA students will graduate on time?
Yes
No
f(t) =
2(t-1)
(t-4) (t + 2)
What is the domain off (t)?
Answer:
{t element R : t!=-2 and t!=4}
(assuming a function from reals to reals)
Step-by-step explanation:
How many possibilities are there for a license plate with 3 letters and 3 numbers?
The gym class has 27 students and 3 soccer balls. What is the ratio of students to soccer balls? O A. 27: 1 O B. 24: 1 O C. 30 : 3 O D. 9:1 E. 24 : 3
The event of picking a number less than 13 from a jar with papers labeled from 1 to 12 is.
PLZ FAST ANSWER
Answer:
100 %
Step-by-step explanation:
n<13, you only have numbers from 1 to 12. This means that any number that you will pick will be less than 13
The total cost in dollars to buy uniforms for the company staff can be found using the function c=14.95x+7.95, where x is the number of uniforms bought. If there are at least 30 people but not more than 35 people on the staff, what is the domain of the function for this situation?
Answer: the answer is D
Step-by-step explanation:
The domain is the x-values and can not be greater than 35.
Answer:
Step-by-step explanation:
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!
Step-by-step explanation:
since they are in order points p and q are in the middle and points O and R are on the end so they say that OR=36 since you don't know the exact lengths of all of the lengths in the middle from O to R then you multiply 5,6 and 1 by x and add
5x+6x+1x=12x
so then the whole length is equal to the ratio of 12x and also 36 so set those to equal each other
12x=36
x=3
so that is just the ratio and since they are asking for the length of O to Q that means that it is just 5x+6x=OQ
11x=OQ
insert x=3
33=OQ
Hope that helps :)