Answer:
[tex](x,y) = (-1,0)[/tex]
Step-by-step explanation:
Given
[tex](x+1)^2 = -8(y-2)[/tex]
Required
The coordinates of the focus
First, write the expression in form of: [tex]y=a(x-h)^2+k[/tex]
[tex](x+1)^2 = -8(y-2)[/tex]
[tex](x+1)^2 = -8y + 16[/tex]
[tex]-8y + 16 = (x+1)^2[/tex]
Subtract 16 from both sides
[tex]-8y = (x+1)^2 - 16[/tex]
Divide through by -8
[tex]y = -\frac{1}{8}(x+1)^2 - \frac{16}{-8}[/tex]
[tex]y = -\frac{1}{8}(x+1)^2 +2[/tex]
In this case:
[tex]a = -\frac{1}{8}[/tex]
[tex]-h = 1[/tex] [tex]h = -1[/tex]
[tex]k = 2[/tex]
The focus of the parabola is:
[tex](x,y) = (h,k + \frac{1}{4a})[/tex]
This gives:
[tex](x,y) = (-1,2 + \frac{1}{4*-\frac{1}{8}})[/tex]
[tex](x,y) = (-1,2 + \frac{1}{-\frac{1}{2}})[/tex]
[tex](x,y) = (-1,2 -2)[/tex]
[tex](x,y) = (-1,0)[/tex]
A reflecting telescope contains a mirror shaped like a parabola of revolution. If the mirror is 16 inches across at its opening and is 2 feet deep, where will the light be concentrated?
Answer:
18
Step-by-step explanation:
Penny paid off a loan with a simple interest rate of 11.2% in 6 months. What was the APR?
11.2%
9.6%
22.4%
19.2%
5.6%
Answer: 19.2%
Step-by-step explanation:
APR= (2(n)(r))/(n+1)
APR= 2(6)(0.112)/(6+1)
APR= 19.2
n= number of monthly payments (6)
r= the rate (11.2% or 0.112)
The solution is Option C.
The annual percentage rate of Penny is 22.4 %
What is Annual Percentage Yield?
The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.
An APR is a number that represents the total yearly cost of borrowing money, expressed as a percentage of the principal loan amount.
Given data ,
Let the annual percentage rate be represented as A
Now , the value of A is
The simple interest rate R of Penny = 11.2 %
The time period of Penny n = 6 months
The annual percentage rate is calculated by = ( 12 x R ) / n
Substituting the values in the equation , we get
The annual percentage rate A = ( 12 x 11.2 ) / 6
The annual percentage rate A = 2 x 11.2
The annual percentage rate A = 22.4 %
Therefore , the value of A is 22.4 %
Hence , the annual percentage rate is 22.4 %
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What is (4x5) + 6/3 + (9+5)?
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
4*5= 20
6/3 = 2
9+5= 14
20+2+14= 36
1. Express the function
f(x) = 2x² - 4x -13 in the the form
f(x) =a(x + h)² + k.
Here is my answer. I hope this is helpful.
A grocery store buys items and then applies a markup of 70%. What is the retail price of item that originally costs $10?
Answer:
$17.00
Step-by-step explanation:
10 x 1.70 = $17.00
Answer:
The retail price is $17.00
Step-by-step explanation:
A shipping crate has a volume of 96 ft' and holds 12 cube-
shaped boxes. What is the surface area of one of the boxes?
Answer:
8 sorry if its wrong
Step-by-step explanation:
Answer:
24 ft²
Step-by-step explanation:
find volume for single cube
[tex]96 \div 12 = 8[/tex]
find length of side
[tex] \sqrt[3]{8} = 2[/tex]
find area of single surface
[tex]2 \times 2 = 4[/tex]
surfaces each cube = 6
so the total of surfaces area
[tex]4 \times 6 = 24[/tex]
I had this function question that I just don't understand. Can someone explain it please
Answer:
oopsie delete this
Step-by-step explanation:
Mr.Lopez has 24 more books than Mrs.Hill if the ratio of their books is 7:4 how many books does Mrs. Hall have?
Answer:
Number of books with Mrs. Hall = 32
Step-by-step explanation:
Suppose that Mrs. Hill has [tex]x[/tex] books.
Also, Mr. Lopez has 24 more books than Mrs. Hill.
So,
Number of books with Mr. Lopez = [tex]x+24[/tex]
Ratio of their books = [tex]7:4[/tex]
Therefore,
[tex]\frac{x+24}{x}=\frac{7}{4}\\\\4(x+24)=7x\\\\4x+96=7x\\\\96=3x\\x=\frac{96}{3}\\\\x=32[/tex]
Number of books with Mrs. Hall = 32
please help
easy points
Answer:
its the fortnite man can i get brainlest plsss
Step-by-step explanation:
Question 3
For any square matrix A for which A'exists, determine the following products where I is the
identity matrix with the same dimensions as A. Give your answers in terms of A, A-1or I.
(a)AI
(b) AA-1I
(c)A-1AI
Answer:
X6rxufxufxufutistizstiitssititstisitstsituztsitistzutusutsstu
WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY!!!!!!
LMNP is rotated 90' clockwise around the origin.
8
7
6
5
4
M(3, 4) N(5, 4)
3
2
1
LO1)
2
P19,0)
3
4
5
6
7
8
9
What are the coordinates of N'?
O A. N'(4,-5)
O B. N'(-5, -4)
C. N'(-4,5)
D. N'(5,-4)
Answer:
B
Step-by-step explanation:
Answer:
im not sure but it may be B as if i cant see the photo
Step-by-step explanation:
tell me if i got it right or wrong :)
1÷2(2x+6)=4x-1
solve pls no links!!!
Answer:
Step-by-step explanation:
1 ÷ 2(2x+6) = 4x-1
[tex]\frac{1}{2(2x + 6)} = 4x -1[/tex]
[tex]\frac{1}{2*2x+2*6 } = 4x - 1 \\\\\frac{1}{4x + 12} = 4x - 1\\[/tex]
1 = (4x - 1)(4x + 12)
Use FOIL method.
1 = 4x * 4x + 4x *12 - 1 * 4x - 1*12
1 = 16x² + 48x - 4x - 12
1 = 16x² + 44x -12
0 = 16x² + 44x - 12 -1
16x² + 44x - 13 = 0
Which functions are correctly graphed?
Select all the correct answers
the second one, and the third one
According to the function Graph 2 , 3 and 4 are correctly graphed.
What are Functions ?It is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
To determine which are the functions whose domain value match with that of the graph drawn ,
The values of the domains needs to be checked at various points , those graph are drawn correctly will correlate with the function values.
Graph 1 is not correctly graphed
Graph 2 , 3 and 4 are correctly graphed according to the function.
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Due to construction delays on the trip from Little Rock to Chicago, a van driver averaged 48 miles each hour. About how long did that trip take?
I need a answer very very quick
please help question is in the picture
Answer:
tan ∅ = 15/8
Step-by-step explanation:
tan ∅ = 15/8
What is (-s - 5) + (-2s + 2)?
A painter charges $15.39 per hour, plus an additional amount for the supplies. If he made $172.62 on a job where he worked 6 hours, how much did the supplies cost?
Answer:
$80.28
Step-by-step explanation:
Equation-
[tex]15.39(x)+y= 172.62\\[/tex]
Substitute in 6 for x
[tex]15.39(6)+y=172.62\\92.34 + y = 172.62\\y= 80.28[/tex]
Helllohello help please if you want -
Answer:
y = 10 is the true number sequence
Step-by-step explanation:
y + 6 = 16
y = 16 - 6
y = 10
Which equation matches the hanger?
w - 1.4 = 2.7
1.4w = 2.7
w + 1.4 = 2.7
w/1.4 = 2.7
Answer:
W + 1.4 = 2.7
Step-by-step explanation:
W + 1.4 = 2.7
W and 1.4 are on one hand and 2.7 is on the other hand
Help ASAP I need to get this question correct
Answer: The answer is NO
Step-by-step explanation:
Which table shows a function with the same rate of change as the equation y = –30x + 200?
a)
x y
12 100
13 70
14 40
b)
x y
20 200
21 400
22 600
c)
x y
39 239
40 240
41 241
d)
x y
17 20
18 23
19 26
Answer:
x y
12 100
13 70
14 40
Step-by-step explanation:
The table below shows the account value of each of Dmitri's three bank accounts
Dank account
Account value
Savings
8573.73
Retirement
8204.43
Checking
-$435.24
Help Dmitri sort his accounts from lowest to highest absolute value of account value. Click and drag to sort the
tiles
Checking
Retirement
Savings
Answer:
there could be more than one answer...
Step-by-step explanation:
Answer:
Retirement Checking Savings
Step-by-step explanation:
in that order(khan said so)
1.Type the missing number to complete the proportion.
5 pages in 1 day = ___________ pages in 7 days.
2.Type the missing number to complete the proportion.
7 chairs at 1 table = ___________ chairs at 9 tables.
3.Type the missing number to complete the proportion.
51 students fit on 1 bus = ___________ students fit on 8 buses.
Answer:
1. 35 pages in 7 days
2. 63 pages in 9 tables
3. 408 student on 8 buses
Step-by-step explanation:
The radius of a circle is 1 foot. What is the circle's area?
r=1 ft
Use 3.14 for .
square feet
Answer:
3.14ft²
Step-by-step explanation:
Area of a circle= πr²
= 3.14 x 1²
= 3.14 x 1
= 3.14 ft²
Find the missing side length and show your work to be marked brainliest! (lots of points)
Answer:
10 i think it is yea. so 10 is it
Which expression represents the product of 4 and the difference of 17 and 9 which one is correct 4+(17+9) or 4+(17-9) or 4 times (17+9) 4 times ( 17-9)
Answer:
the answer is 4 × (17 - 9)
difference = 17 - 9
product 4 times
Find the output, y, when the input, c, is 6. HELP ASAP
a hot air balloon is floating in the atmosphere if a burst of hot air were blown up into that balloon which would most likely happen
1. The balloon would rise
2. The balloon would descend
3. The balloon would travel side ways
3. The balloon would remain in the same place pls help
Hey, my assignment is due in a few hours totally blew over me . Would appreciate some help !
HOPE THIS HELPS!!!!!!!!!!!!!! :)