Find the equation for the
following parabola.
Vertex (-2,-4)
Focus (-4,-4)
A. (7-4)2 = -8(x-2)
B. (x+4)2 = 8(y+2)
C. (y+4)2 = 8(x+2)
D. (y+4)2 = -8(x+2)
Answers
Answer:
[tex](y+4)^2 = -8(x+2)[/tex], option D.
Step-by-step explanation:
Equation of a parabola:
The equation of a parabola has the following format:
[tex](y - k)^2 = 4p(x-h)[/tex]
In which the center is (h,k) and the focus is (h+p,k).
Vertex (-2,-4)
This means that [tex]h = -2, k = -4[/tex]
So
[tex](y - k)^2 = 4p(x-h)[/tex]
[tex](y - (-4))^2 = 4p(x-(-2))[/tex]
[tex](y+4)^2 = 4p(x+2)[/tex]
Vertex (-2,-4)
Focus (-4,-4)
-4 - (-2) = -4 + 2 = -2
So p = -2 and
[tex](y+4)^2 = 4(-2)(x+2)[/tex]
[tex](y+4)^2 = -8(x+2)[/tex], option D.
Answer:
(y+4)2=−8(x+2)
The answer would be D.
Related Questions
HCF Of 14608 And 720
Answers
Answer:
16.
Step-by-step explanation:
The highest common factor between the two is 16.
Answer:
GCF(14608,720) = 2⁴
Step-by-step explanation:
Factor both numbers:
14608 = 2⁴ * 11 * 83
720 = 2⁴ * 3² * 5
Therefore the greatest common factor is 2⁴
12 + 2 × 8 ÷ 2 - 3 × 4 = ?
Answers
Answer:
el resultado es 8 ese es el resultado
Answer:
8
I used a calculator and got this answer so it should be right.
please please please help me find the answerrrrr
Answers
Answer:
320.28?
Step-by-step explanation:
David borrowed $30,000 to start a business. Four years later he repaid $1260 in interest. What was the annual rate? Round to two decimal places.
Answers
Simple interest formula is I = Prt * 100
Where P is principle, I is interest, r is rate and t is time.
Transpose to make r the subject
Prt * 100 = I
r = I/ Pt * 100
Substitute values into the equation.
Let I = $1260, P = $30,000 and t = 4 years
r = $1260/ $30,000 * 4 * 100
r = 0.0105 * 100
r = 1.05%
Find x. Round your answer to the nearest integer.
25
х
37°
Answers
Answer:
A. 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 37°
Opposite Leg = x
Hypotenuse = 25
Step 2: Solve for x
Substitute in variables [sine]: sin37° = x/25[Multiplication Property of Equality] Multiply 25 on both sides: 25sin37° = xEvaluate: 15.0454 = xRewrite: x = 15.0454Round: x ≈ 15Can an acute and obtuse angle be supplementary? Draw a figure showing supplementary angles?
Answers
10 and 170
20 and 160
30 and 150
40 and 140
50 and 130
60 and 120
70 and 110
80 and 100 and so on
The function h (x) = four-thirds x minus 1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?
g (x) = two-thirds x
g (x) = two-thirds x minus 1
g (x) = 2 and one-third x
g (x) = 2 and one-third x minus 1
Answers
The g(x) is equal to (2/3)x.To find g(x) in the composite function h(x) = f(g(x)), we need to substitute f(x) = 2x - 1 into the equation and solve for g(x
Given that h(x) = (4/3)x - 1 and f(x) = 2x - 1, we can set up the composite unction:
h(x) = f(g(x))
Substituting f(x) into the equation:
(4/3)x - 1 = 2(g(x)) - 1
Simplifying the equation:
(4/3)x - 1 = 2g(x) - 1
We can now solve for g(x):
2g(x) = (4/3)x
Dividing both sides by 2:
g(x) = (2/3)x
For more such questions on function
https://brainly.com/question/11624077
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Question 12 (2 points)
(08.04 MC)
Mia creates a box plot using 28, 34, 40, 24, 44, 49, and 32 as the data. Which of the following box plots shows the data accurately? (2 points)
a
A box plot is drawn with end points at 24 and 49.The box extends from 32 to 48 and a vertical line is drawn inside the box at 38.
b
A box plot is drawn with end points at 24 and 49.The box extends from 26 to 42 and a vertical line is drawn inside the box at 32.
c
A box plot is drawn with end points at 24 and 49.The box extends from 30 to 46 and a vertical line is drawn inside the box at 36.
d
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Answers
Answer:
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Step-by-step explanation:
Ordering the data given :
24,28,32,34,40,44,49
We can calculate the 5 number summary required to give the appropriate boxplot that can be produced :
Minimum = 24
Maximum = 49
Median = 1/2(n+1)th term
n = 7
Median = 1/2(8) = 4th term
Median = 34
Lower quartile, Q1 = 1/4(n+1)th term
n = 7
1/4(8) = 2nd term
Q1 = 28
Upper quartile : 3/4(n+1)th term
n = 7
Q3 = 3/4(8) = 6th term
Q3= 44
HELPPP
Write the equation of the graphed function. Give your answer in standard form.
Answers
9514 1404 393
Answer:
y = x² +x -6
Step-by-step explanation:
The graph shows the zeros of the function to be -3 and +2. This means the factored form of the function can be written as ...
y = (x -(-3))(x -(+2)) = (x+3)(x-2)
Multiplying this out, we get the desired standard form:
y = x² +x -6
We note that y=-6 when x=0, which matches the y-intercept. Nothing else needs to be done to this equation.
2logb - 3logb = log8b - log4b
Answers
Answer:
b=1/2
Step-by-step explanation:
2logb - 3logb = log8b - log4b
log[tex]b^{2}[/tex] - log[tex]b^{3}[/tex] = log8b - log4b
log([tex]\frac{1}{b}[/tex]) = log(2)
∴1/b = 2
∴b = 1/2
Trong mặt phẳngOxy , phép quay mỗi
vector quanh gốc tọa độ một góc α ngược
chiều kim đồng hồ là một ánh xạ tuyến tính
(Hình 1). Hãy tìm ma trận biểu diễn và biểu
thức của phép quay trên.
Áp dụng: Cho tam giác MNP gồm các
đỉnh (1,1) M , (1,2) N , (3,3) P hãy tìm ảnh của
tam giác MNP qua phép quay nói trên, biết
góc quay là / 4 α = π và vẽ hình biểu diễn.
Answers
Answer:
Step-by-step explanation:
What is the value of log↓3 81? 2, 3, 4 or 5?
Answers
Answer:The value of log base 3 log base 2 log base √3 81 is -a)1 b) 2 c)3 d) 0
Answer:
4
Step-by-step explanation:
Define [tex]\log_a b=c\implies a^c=b[/tex].
Let
[tex]\log_3 81=x[/tex].
Using our definition [tex]\log_a b=c\implies a^c=b[/tex], we have:
[tex]3^x=81[/tex]
Solving for [tex]x[/tex]:
[tex]x=\boxed{4}\text{ from simply knowing that }3^4=81[/tex]
Or
Algebraically solve step-by-step by taking the log of both sides:
[tex]\log 3^x=\log 81[/tex]
Using log property [tex]\log a^b=b\log a[/tex], rewrite:
[tex]x\log 3=\log81[/tex]
Divide both sides by log(3):
[tex]x=\frac{\log 81}{\log 3}=\boxed{4}[/tex]
A market research analyst claims that 32% of the people who visit the mall actually make a purchase. You think that less than 32% buy something and decide to test this claim of the analyst. You stand buy the exit door of the mall starting at noon and ask 82 people as they are leaving whether they bought anything. You find that actually 20 people made a purchase. 19. State the null and alternative hypotheses to test that less than 32% of mall visitors make a purchase
Answers
Answer:
The null hypothesis is [tex]H_0: p \geq 0.32[/tex]
The alternative hypothesis is [tex]H_1: p < 0.32[/tex]
Step-by-step explanation:
State the null and alternative hypotheses to test that less than 32% of mall visitors make a purchase
At the null hypothesis, we test if the proportion is of at least 32%, that is:
[tex]H_0: p \geq 0.32[/tex]
We are testing if less than 32% of visitors make a purchase, so, at the alternative hypothesis, we test if the proportion is less than 32%, that is:
[tex]H_1: p < 0.32[/tex]
please help. is due tonight. Thank you
Answers
Answer:
I am class 6 sorry can'tAnswer:
Step-by-step explanation:
take 60 degree as reference angle
using tan rule
tan 60=opposite/adjacent
[tex]\sqrt{3[/tex]=x/5
5*[tex]\sqrt{3[/tex] =x
5[tex]\sqrt{3[/tex]=x
Which function is the inverse of f(x) = 2x + 3?
Answers
Answer:
f^-1(x)=1/2x-3/2
Step-by-step explanation:
f(x)=2x+3
y=2x+3
x=2y+3
2y+3=x
2y=x-3
y=1/2x-3/2
substitute f^-1(x) for y
f^-1(x)=1/2x-3/2
A car travels at a constant speed of 120km per hour. how many kilometers will the car travel in 6 hours
Answers
Answer:
720 km.
Step-by-step explanation:
120 * 6 = 720 km
Answer:
720
Step-by-step explanation:
120km every hour times by 6
Melissa got 18 out of 20 on a math quiz. Tom got 85% on the quiz. Whose mark was greater?
Answers
Answer:
[tex]tom = \frac{85}{100} \times 20 \\ = 17 \: questions[/tex]
Melissa had a greater mark.
Answer:
Melissa
Step-by-step explanation:
Melissa: 18/20
Tom: 85/100
You need a common denomenater so multiply 18 and 20 by 5:
90/100>85/100
Melissa has the greater mark by 5%
In a lab a substance was cooled b 6 degrees each hour for 42 hours what was the total change it in temperature
Answers
9514 1404 393
Answer:
total cooling was 252 degrees
Step-by-step explanation:
quantity = rate × time
The total temperature change is ...
(-6°/h)(42 h) = -252°
The total change in temperature was a cooling of 252 degrees.
Can someone please help give brainlst
Answers
so your in college? how is that going? what are you majoring in?
What is the difference in unit price between a 5 gallon bucket of paint for $97.45 and a 1 gallon bucket of paint for $21.95?
Answers
Answer: $2.46
Step-by-step explanation:
First, let's find the unit price for both buckets!
A 1 gallon bucket of paint is $21.95. But how much will a 1 gallon bucket of paint cost if it had origianlly been 97.45 for 5 gallons of paint?
We need to divide 97.45 by 5, and the answer will be the unit price.
97.45 ÷ 5 = 19.49.
A 1 gallon bucket of paint that was originally priced as $97.45 for 5 gallons of paint si now $19.49 per bucket.
But we're not done! We still need to find the difference in unit prince between a 5 gallon bucket of paint for $97.45 and a 1 gallon bucket of paint for $21.95.
21.95 - 19.49 = 2.46.
Therefore, the difference in unit price between a 5 gallon bucket of paint for $97.45 and a 1 gallon bucket of paint for $21.95 is $2.46.
Help me with this math equation please
Answers
Answer:
im not exactly sure how to do this one but i think that you can use pythagoras theorem which is a^2 +b^2=c^2. In the question you can use d^2 +e^2= f^2
Which values of c will allow the polynomial to be factored?
x² - cx - 24
Answers
Answer:
the possible values of c = -23, -10, -5, or -2
Step-by-step explanation:
The possible values of c that will allow the polynomial to be factored must be a factor of "-24"
1 x (-24) = -24 (for this case c = -23)
2 x (-12) = -24 (for this case c = -10)
3 x (-8) = -24 (for this case c = -5)
4 x (-6) = -24 (for this case c = -2)
Therefore, the possible values of c = -23, -10, -5, or -2
what is the slope of the line shown (-4,3) (3,1)
Answers
Answer:
-2/7
Step-by-step explanation:
A taxicab moves five blocks due north, five blocks due east, and another three blocks due north. Assume all blocks are of equal size. How far is the taxi from its starting point
Answers
Answer:
9.43
Step-by-step explanation:
Given
See attachment for illustration
Required
Distance AE
The actual path taken by the taxicab are in bold lines.
To calculate the distance AE, we simply consider the triangle AOE where
[tex]AE^2 = OE^2 + AO^2[/tex]
[tex]AE^2 = 5^2 + (5+3)^2[/tex]
[tex]AE^2 = 5^2 + 8^2[/tex]
[tex]AE^2 = 25 + 64[/tex]
[tex]AE^2 = 89[/tex]
Take square roots
[tex]AE = \sqrt{89[/tex]
[tex]AE = 9.43[/tex]
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answers
Answer:
77 boxes
Step-by-step explanation:
Take the total number of boxes and divide by the number of girls
1000 boxes / 13 girls
76.92307692
Round up
77 boxes
Check
77*13 = 1001 boxes
Answer:
77 boxes
Step-by-step explanation
Hello there! Let's solve this problem together:
First, we will review our numbers.
13 girls have to sell 1,000 boxes.
Now, we will do the math.
We will solve this problem by dividing.
We will keep multiply by one until we reach 1000 or more.
They have to each sell at least 77 boxes.
in 1995,there were 400 cell phone subscribers in the small town of Centerville. the number of subscribers increased by 50% per year after 1995 .
how many cell phone subscribers were in Centerville in 1999 ?
(show work)
Answers
Answer:
1200
Step-by-step explanation:
400 + 200y
1999 - 1995
Plug in 4 for y
400 + 200(4)
1200
Identifying the Graph of a Solution
Which graph is the solution to the inequality?
✓x
+
+
+
96
1
99
97
98
100
y - 13 > -85M
Graph A
+
95
Graph B
4
-74
Graph
4
-100
Graph D
+
-73
1
-71
1
-70
-72
-69
13 < -85+y
1
-99
+
-98
+
-97
+
-96
y + 13 <-85
1
-73
+
-72
+
-71
+
-70
-74
-69
Answers
Answer:
C
Step-by-step explanation:
C
Get brainiest if right?
The sum of four consecutive numbers is two more than three
times the greatest of these numbers. Find the numbers.
Answers
Answer:
1, 2, 3, 4
Step-by-step explanation:
x+(x+1)+(X+2)+(X+3)+2 = 3(X+3)
4X+8=3x+9
x=1
Answer:
5,6,7,8
Step-by-step explanation:
5+6+7+8=26
8*3=24
26-24=2
Find the volume of the prism.
5 cm
14 cm
9 cm
3 cm
3
Answers
Answer:
34
Step-by-step explanation:
Which graph represents the function y = 2x - 4?
Please help
Answers
-4 is the y intercept and only two have the line going across (0,-4). 2 is the slope so we go up 2 and over 1. The 3rd one is the only one who has points at (0,-4) and (1,-2) as it shows we went up 2 & to the right 1.