Answer:
The equation of the parabola in standard form is x = y²/52 + 7·y/26 - [tex]2\frac{3}{52}[/tex]
Step-by-step explanation:
The standard form of a parabola is a·y² + b·y + c
The focus of the parabola = (-10, -7), the directrix is x = 16, we have;
The coordinate of the focus is given as_F(h + p, k)
Where;
p = 1/(4·a)
The equation of the directrix is x = h - p
Therefore, given that the coordinates of the focus = (-10, -7), we have;
k = -7
Given that the equation of the directrix is x = 16, we have;
h - p = 16...(1)
h + p = -10...(2)
Adding equation (1) and (2), gives;
2·h = 6
h = 6/2 = 3
h = 3
From equation (1), p = h - 16 = 3 - 16 = -13
The general equation of the parabola is (y - k)² = 4·p·(x - h), therefore, substituting the values gives;
(y - (-7))² = 4 × (-13) × (x - 3)
(y + 7)² = -52·(x - 3)
y² + 14·y + 49 = -52·x + 156
x = (y² + 14·y + 49 - 156)/(-52) = (y² + 14·y + 49 - 156)/(-52) = y²/52 + 7·y/26 -107/52
Answer:
(y+7)^2= -52(x-3)
Step-by-step explanation:
answer for plato
hope this help Don't forget to like :)
k + 4(5k +6) = - 123
HELP ASAP
Answer:
-7
Step-by-step explanation:
-123-(6x4=24)=-147 -147 divided by (4x5k+1k=21k)=-7
The difference of a number and 8 is 46 less the number. Find the number
Answer:
unsolvable
Step-by-step explanation:
n-8=46-n
n=(46-n)+8
n=54-n
Answer:
54
Step-by-step explanation:
you add 8+46 and you can check with 54-46=8
what was the cost of a ticket to ride the original Ferris wheel
Answer:
100
Step-by-step explanation:
100 is the correct answer
Answer: 100 and why do u need to know
Pleaseeeee helpppp answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
130 degrees
Step-by-step explanation:
All triangles equal 180 degrees. subtract that by the known sides. you get 130
= √41² - 9²
= √1.681 - 81
= √1.600
= 40
A pool toy is sinking at a constant rate toward the bottom of a pool. the equation y = -5x -4 can be used to represent this situation, where y is the depth of the toy in inches below water level and x is the number of minutes the toy has been sinking. Which statement BEST describes the depth of the pool toy, given this equation?
A. From a starting position of 4 inches below water level, the toy is ascending 5 inches per minute.
B. From a starting position of 4 inches below water level, the toy is descending 5 inches per minute.
C .From a starting position of 5 inches below water level, the toy is ascending 4 inches per munute.
D. From a starting position of 5 inches below sea leve, the toy is descending 4 inches per minute.
Answer:
4
Step-by-step explanation:
Samantha, Nyla, and Jerry own shares of stock in the Triumph Hotels company. The shares of stock that they own have a combined value of $6,880. Samantha owns 70 shares, Nyla owns 50 shares, and Jerry owns 40 shares. What is the value of the shares Samantha owns?
Answer:
The value of the shares Samantha owns is $3,010
Step-by-step explanation:
Step 1
We add all the shares together and find out the cost of each share per dollar
Samantha owns 70 shares, Nyla owns 50 shares, and Jerry owns 40 shares.
Total amount of shares = (70 + 50 + 40) shares
= 160 shares
Step 2
The cost of share per dollar =
Values of shares/ Total number of shares
= $6,880/160 shares
= $43
1 share = $43
Step 3
The value of the shares Samantha owns is calculated as:
Number of shares Samantha owns × cost of share per dollar
Samantha owns 70 shares
Hence:
= 70 × $43
= $3010
The value of the shares Samantha owns is $3,010
On your bike, you can travel 6 miles per hour. Which variable is independent?
hi! im quite confused on this. can someone please help me? ill give brainiest if youre correct :)
Answer:
I believe the answer is D
Step-by-step explanation:
after 3 hours it traveled 120 miles so divide that by the 3 hours and it gives you 40 miles per hour giving you the slope and the y int would be negative 300 because he started 300 miles aways from Denver
Answer:
The answer seems to be D
Step-by-step explanation:
I cannot really confirm but I am most certain it is D.
Jackson has to have his car repaired. The mechanic tells him it will cost $75 for each hour of labor plus the cost of the parts. He discovers that the parts cost $165.
Part A: Write an equation that can be used to determine the cost of the repairs for any hours of labor.
Part B: How much would the repairs be if it took 3 hours?
Part C: What is the meaning of the slope in Part A?
Part D: What is the meaning of the y-intercept in Part A?
Answer:
a 75x+165=y
b 75(3)+165=390
c 75x is the cost increasing for each hour
d y-intercept=165, it cost at least 165 for the parts
Step-by-step explanation:
10 points help
Jesse has 75 cents in her pocket. Two coins are dimes and the rest are nickels. Write an equation to solve for
how many nickels she has.
Answer:
11
Step-by-step explanation:
She has 75 total
10+10=20. +5 +5+5+5+5+5+5+5+5+5+5=75
25 30 35 40 45 50 55 60 65 70 75
Step-by-step explanation:
take the total and minus the dimes (0.20)
0.75 - 0.20 = 0.55
take the remaining and divide by 5 cents for each nickel
0.55 ÷ 0.05 = 11
jesse has 11 nickels.
please help i give brainliest
Answer:
21
Step-by-step explanation:
His number is 21
21 - 12 = 9
9 times -2 = -18
Hope this helps!!
Answer:
21
_____________________
Helpppp I have no idea what to do
Answer:
Step-by-step explanation:
All I am saying its not 1 or 3
HELPP ASAPPPP
Evaluate the expression 10m - 11
if m=4
Answer:
is the answer 45444.2453 jd
Step-by-step explanation:
Answer:
10m -11 ( plug in the given value for m)
10 (4) -11 (do multiplication first because of PEMDAS)
40 -11 (subtract)
29 (the answer)
the relationship between number of students and the number of teachers in the in a school
A.no association
B.negative associaction
C. positive associaction
D. both association
Answer:
Negative associaction
Which decimal is the equivalent of 6/11?
A. 0.183
B. 0.1883
C. 0.54
Answer:
0.54
Step-by-step explanation:
6/11 in decimal form is closest to 0.54
Select all tables that could represent a function.
A. B. OR C.
Answer:
*selects all tables*
Sally pays her car insurance monthly. Her annual premium is $1024. Each payment she is charged a $5 convenience fee. If her annual premium is divided equally into monthly payments, how much is her monthly insurance payment?
Answer:
hmmm
Step-by-step explanation:
Helped need plzs , due by 11:59
Answer:
x = 10
Step-by-step explanation:
The two triangles are similar, and it says that VUT is similar to EFG so side VT corresponds to side EG which means that 8 is just side VU divided by 2.
This means that side EG is 14 divided by 2 and that is 7.
This results in the equation " 2x - 13 = 7" First, add 13 to both sides of the equation to get rid of the -13. This gives 2x = 20. Then divide both sides by two to cancel out and get rid of the 2 in 2x. This leaves x as 10.
Given circle D, which of the following is an inscribed angle?
∠ EGD
∠ ADG
∠ AEG
∠ BCE
Answer:
<AEG
Step-by-step explanation:
Here, ∠AEG is an inscribed angle and the other three are not.
What is an inscribed angle?"In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle."
Here, ∠EGD is not an inscribed angle. Although it is interior of a circle, but there is no intersection of two chords on this circle.
∠ADG is not an inscribed angle, it is a central angle.
∠BCE is an not an inscribed angle. It is also interior of a circle, but there is no intersection of two chords on this circle.
Here, only ∠AEG is an inscribed angle as it is formed in the interior of a circle when two chords intersect on the circle.
Therefore, Option(C) is the correct answer.
Learn more about an inscribed angle here: https://brainly.com/question/16475520
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Which equation represents exponential decay with a decay rate of 4%?
O y = (0.04)*
O y = (0.96)*
O y = (1.04)
O y = (1.96)
Answer:
A) y=0.04
Step-by-step explanation:
-please answer these six math questions for 25 points and brainliest to best answer-
Show your work in a formula
Example of a correct answer to 1 2/3 ÷ 4/6 = ?:
(1 2/3=1 4/6) 1 4/6 ÷ 4/6 = 2 1/2
--------
Question 1: Izzy made 3 1/3 liters of lemonade. If each of Izzy's jars holds 1/4 of a liter, how many jars can Izzy fill?
Question 2: 22.89 + 4.789 =
Question 3: 13.87 - 1.983 =
Question 4: 22.17(4.1) =
Question 5: 28.368 ÷ 0.8 =
Question 6: 664.752 ÷ 24
Answer:
2: 27.679
3: 11.887
4: 27.679
5: 35.46
6: 27.698
Step-by-step explanation:
2: you just have to add 22.89 + 4.789
3: here you just have to subtract 13.87 - 1.983
4: here you have to multiply 22.17(4.1)
5: here you have to divide 28.368 ÷ 0.8
6: here you have to divide 664.752 ÷ 24
its really difficult to show you this solution because i cant put a photo here
Answer:
Question 1. 13 1/3
Question 2. 27.679
Question 3. 11.887
Question 4. 90.897
Question 5. 35.46
Question 6. 27.698
PLEASE ANSWER FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
and answer like
number 1. answer is_________________
number 2. answer is_________________
number 3. answer is_________________
number 4. answer is_________________
number 5. answer is_________________
Answer:
answer 1 is 30
answer 2 is 130.8
answer 3 is 5.85
answer 4 is 36%
answer 5 is 82.55
Solve: 70 x 10-3.
PLZ HELP ME
Answer:
7/100 or Decimal: 0.07
Step-by-step explanation:
The product of 70 multiplied by 10 to the power of -3 is 0.07
Given that product of 70 multiplied by [tex]10^{-3}[/tex].
Scientific notation is a way to express numbers that are very large or very small in a more concise and convenient form. It is commonly used in scientific and mathematical calculations, as well as in representing values in various fields such as astronomy, physics, and chemistry.
To solve this, we can use the concept of scientific notation. When a number is expressed in scientific notation, the exponent indicates the power of 10 by which the number should be multiplied.
In this case, [tex]10^{-3}[/tex] means move the decimal point three places to the left.
Starting with 70, move the decimal point three places to the left to obtain 0.07. Therefore, the solution to 70 multiplied by [tex]10^{-3}[/tex] is 0.07.
Therefore, the product of 70 multiplied by [tex]10^{-3}[/tex] is 0.07.
Learn more about scientific notation click here:
https://brainly.com/question/19625319
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The box plots below show the miles per gallon (mpg) ratings distribution for three types of cars.
Plzzzzz help! I’ll give brainliest
Answer:
x=54
Hope this helps!
Answer:
x = 54
Step-by-step explanation:
(x + 16) = 70
-16 -16
x = 54
I want the answer the the problem
Answer:
The length of the segment GI is 30.5 units
Step-by-step explanation:
In any triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length
In ΔFHJ
∵ G is the mid-point of the side FH
∵ I is the mid-point of the side JH
∵ FJ is the 3rd side of the triangle
→ From the rule above
∴ GI // FJ
∴ GI = [tex]\frac{1}{2}[/tex] FJ
∵ FJ = 61 units
∴ GI = [tex]\frac{1}{2}[/tex] (61)
∴ GI = 30.5
∴ The length of the segment GI is 30.5 units
What is the area of the shaded sector?
Answer:
In terms of π, the area of the shaded sector is 108πin²
Step-by-step explanation:
Area of the shaded sector, which is the major sector=x°/360(πr²)
A=270/360×π×(12in)²
A=¾π×144in²
A=108πin²( in terms of π)
Expand and simplify
(x - 5)(x - 2)
Answer:
=[tex]x^{2}[/tex]−7x+10
PLEASE HELP THIS IS DUE TOMORROW
Answer:
is this the whole assignment because choose a question
A cruise ship compartment can hold 119 pieces of luggage. If a ship had 316 compartments,
how many pieces of luggage can it hold? Yes
Answer:
37,604
Step-by-step explanation:
119 times 316 is 37,604
Hope this helps! :)