Answer:
A. (X-2)^2 = 4(y+5)
Step-by-step explanation:
Equation of parabola: (x-2)² = 4(y+5)
Thus option A is correct.
Given:
Focus at (2, -4) and a Directrix of y = -6
Here,
Let us suppose that there is a point (x, y) on the parabola.
Its distance from the focus point (2, 4) is √(x - 2)² + (y + 4)²
Its distance from directrix y = -6 is |y + 6|
Therefore, the equation will be:
√(x - 2)² + (y + 4)² = |y + 6|
Squaring on both the sides,
(x - 2)² + (y + 4)² = (y + 6)²
x² - 4x + 4 + y² + 8y + 16 = y² + 12y + 36
(x-2)² = 4(y+5)
Therefore option A is correct.
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4 2/3 divided by 1/2 in fraction form
Answer:
9 1/3
Step-by-step explanation:
4 2/3 = 14/3
14/3/1/2
14/3 x 2/1
28/3= 9 1/3
help!!!!!!!!!!!!!!!!! due in 15min
Answer:
5
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
When you put the i out in place for x you multiply so
4x9=36
7x9=63
2x9=18
9x9=81
Please answer quick!!! Will Mark BRAINLIEST!!!
Answer:
picture 1 : 360 cm2
picture 2: sorry I don't really know
picture 3: 11.25 cm2
Step-by-step explanation:
hope this helps
HELP!!! I do not understand!
After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 ratio in the division. Oly analysts and engineers work in the new division. How many more analysts must the company add to the division if it wants to have a 1:1 ratio of engineers to analysts at the new division?
Answer:
I think its 90
Step-by-step explanation:
3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45
you need 90 more analysts to have a 1 to 1 ratio
The formula: y-y1 = m (x-x1) is known as:
Answer:
point slope form.
Step-by-step explanation:
this is different from slope intercept form. use these when dealing with cartesian graphs using slope and points along x, y
please please help me
Answer:
-0.88
Step-by-step explanation:
(f/g)(9)=(x+7)/-2x and the 9 brackets is the value of x with which you have to substitute. after u do that you get (9+7)/-18=16/-18=-0.88(8)
Drag the numbers to create three ratios that are equivalent to 4:12.
Numbers can only be used once.
Pls help
A scale drawing for a backyard is shown below.
In the drawing, 2 cm represents 5 m.
Assuming the patio is rectangular, find the area of the real patio.
Answer:
50 m²
Step-by-step explanation:
2 cm for length = 5 m. 4 cm for width = 10 m. Area = width • length. 10•5=50
the product of two number is 20 and the sum of square is 41 find the number
Answer:
Answer. The numbers are 4 and 5. Their sum = 25 + 16 = 41.
Rationalize the denominator and simplify 6/√2-√3
Answer:
Step-by-step explanation:
[tex]\frac{6}{\sqrt{2} - \sqrt{3} } * \frac{\sqrt{2} + \sqrt{3} }{\sqrt{2} + \sqrt{3} }[/tex]
[tex]\frac{6\sqrt{2} + 6\sqrt{3} }{2-3}[/tex]
[tex]-6(\sqrt{2} + \sqrt{3} )[/tex]
The fraction after rationalizing the denominator is given by the equation
A = -6 ( √2 + √3 )
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction be represented as A
Now , the value of A is
A = 6 / ( √2 - √ 3 ) be equation (1)
Now , on simplifying the equation , we get
To rationalize the denominator of the fraction ,
Multiply the denominator by its conjugate ,
So , the conjugate of ( √2 - √ 3 ) = ( √2 + √ 3 )
Multiplying the numerator and denominator of the fraction by ( √2 + √ 3 )
A x ( √2 + √ 3 ) / ( √2 + √ 3 )
Substituting the values in the equation , we get
[ 6 / ( √2 - √ 3 ) ] x ( √2 + √ 3 ) / ( √2 + √ 3 )
On simplifying the equation , we get
6 ( √2 + √ 3 ) / ( 2² - 3² )
So , the value of A is A = 6 ( √2 + √ 3 ) / ( -1 )
A = -6 ( √2 + √ 3 )
Therefore , the value of A is A = -6 ( √2 + √ 3 )
Hence , the equation A = -6 ( √2 + √ 3 )
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WILL MARK BRAINLIEST ANSWER ASAP
Which answer choice correctly represents an algebraic expression for 8 less than a number?
a. x-8
b. 8-x
c. x+8
d. 8x
Answer:
A
Step-by-step explanation:
1
1 " a number x" →x.
2
2 "less than a number x" means to subtract →x−
3
3 "8 less than a number x" means to subtract →x−8.
Give each a sum or difference:
a. -12+4=
b. -4+1=
c. 4 - 12=
d. 4+12=
A way to remember corresponding angles is to remember: *
Which system of equations is represented by the graph?
10
8
(4.0)
-10-8
-6 -4 -2
8
1D
(-1,-571
y = x +4
X+4
y =
X+2
y = x - 4
X+4
y =
X+2
y = x + 4
X-4
y =
X+2
y = x - 4
X-4
y =
X+2
Answer:
-6
Step-by-step explanation:
is it
A dig-your-own potato farm charges $1.27 per pound of potatoes plus $0.20 per pound to clean the potatoes. Kevin digs 30 pounds of potatoes. The farm cleans 8 pounds for him. How much does Kevin pay in all?
The total number of seats in an auditorium is modeled by the function
f(x) = 2x2 - 6x, where x represents the number of rows of seats.
How many rows are there in the auditorium if it has a total of 416 seats?
given the function f(x)=x^3 +x^2-2x+1 what is the resulting function f(x) is shifted to the left one unit
Answer:
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Step-by-step explanation:
Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).
In this question, we have:
[tex]f(x) = x^3 + x^2 - 2x + 1[/tex]
Shifting 1 unit to the left:
[tex]f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1[/tex]
[tex]f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1[/tex]
[tex]f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1[/tex]
[tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Can someone do b and c for me please 10 points!!
Given, a=-3
a) 2a= 2 × -3 = -6
b) a^2= (-3)^2= 9
c) 3a^2= 3 × (-3)^2 = 3 × 9 = 27
Hope it helps uh.
first you do multiply both the a because a is in square then a x a so (-3 x-3) =6 answer is 6
then next is c
3a sq OK
3a sq = (3x-3) -3 x-3
answer is 81
help me.... this is do in 13 min
Answer:
d
Step-by-step explanation:
A rectangle has an area of 82 ft2. What is
the length if the width is 10 ft?
Answer:
187
Step-by-step explanation:
The expression 120 + 15m gives the volume of water in Miguel's pool (in liters) after he spends m minutes filling his pool.
What is the volume of water in Miguel's pool after he fills it for 6.5 minutes?
Answer:
217.5 liters
Step-by-step explanation:
15 x 6.5 = 97.5. 97.5 + 120 = 217.5 liters
Help me out on this question
Answer:
3
Step-by-step explanation:
n = (30-12) ÷ 6
n = 18 ÷ 6
n = 3
Answer:
the 1st answer is right
Step-by-step explanation:
Tom walks 1/3
of a mile in 1/4 of an hour. At this rate, how many miles will Tom Walk
in 1 hour?
-
B
IN
Answer:
4/3 miles
Step-by-step explanation:
1/3 miles
-----------------
1/4 hour
1/3 ÷ 1/4
Copy dot flip
1/3 * 4/1
4/3 miles per hour
In 1 hour
4/3 miles
Answer:
1 1/3 miles in 1 hour
Step-by-step explanation:
since there are 4 quarters in 1, you must multiply 1/3 by 4.
1/3 x 4 = 1 1/3
Solve for x round to one decimal place.
Answer:
i wanna say 12 but i am not sure!!!!!!!!!
Step-by-step explanation:
Lauren owns 28 acres of land which she rents to a rancher for $3603 per acre per year. Her property taxes are $942 per acre per year. How much profit does she make on the land each year?
a) $99,942
b) $127,260
c) $101,826
d) $74,508
Answer:
B)$127,260
Step-by-step explanation:
28 x 3603= 100884
942 x 28=26376
100884 + 26376= B) $127260
Which is not a method used for changing the attitude of Employee
= Performance appraisal
Step-by-step explanation:
Performance appraisal is the answer
simplify the expression (-6i)(-6i)
Answer:
36i^2 i think that's right
pls help!!!! i will give brainly!!!!
Two quantities are related, as shown in the table:
x y
2 3
4 4
6 5
8 6
Which equation best represents the relationship? (4 points)
y = 1 over 2x + 2
y = 1 over 2x + 1
y = x + 2
y = 2x + 1
9514 1404 393
Answer:
(a) y = 1/2x + 2
Step-by-step explanation:
The only equation that matches the first table entry is ...
y = 1/2x +2
3 = (1/2)(2) +2 . . . . first table entry
WORTH 67 POINTS!! PLEASE HELP QUICK!!
A.
B.
C.
D.
Step-by-step explanation:
When m > -3.1, the line should extend towards the right and the point at 3.1 should be an empty circle. (as m = 3.1 is not included in the solution set)
Hence the answer is Option D.
P.S. The reason why A is wrong is because the number line is wrongly labelled. -3.3, -3.2 and -3.1 are all less than -3 and should be on the left of the number line.