find the equation of the parabola with its focus at (5,0) and it’s directrix y=2
Answers
Answer:
Option A
Step-by-step explanation:
From the question given in the picture attached,
Directrix of the parabola → y = 2
Focus of the parabola → (-5, 0)
Since, focus is below the directrix, parabola will open open downwards.
Equation of the parabola will be in the form of,
y - k = -4p(x - h)²
Here, (h, k) is the vertex of the parabola
p = Distance between vertex and focus or distance between vertex and directrix
Since, distance between vertex and focus = Distance between vertex and directrix
Therefore, vertex of the parabola → (-5, 1)
Now distance (p) between vertex (-5, 0) and focus (-5, 1) = 1 unit
By substituting these values in the equation,
y - 1 = -4(1)[x - (-5)]²
y - 1 = -4(x + 5)²
y = -4(x + 5)² + 1
Option A will be the answer.
Related Questions
Isabel received a $90 gift card for a coffee store she used it in buying some coffee that cost $7.46 per pound after buying the coffee she had $67.62 left on her card how many pounds of coffee did she buy
Answers
Answer:
3 pounds
Step-by-step explanation:
Amount spent
90 - 67.62 = 22.38
coffee bought
22.38/7.46 = 3 pounds
Can someone help me do this like the equation?!.
Answers
Answer:
36$
Step-by-step explanation:
PLEASE HELP ME GUYS ×0×
Find the RATIO and the EXACT VALUE of the given Tan A.
Answers
Answer:
Step-by-step explanation:
take angle A as reference angle
using tan rule
tan A=opposite/adjacent
tan A=5/12
tan A=0.41
A=tan 22.5
A=22.5
for ratio,
tan A=5/12
what is the area of B1, =4,B2 =8, h =2
Answers
Answer: 12
Step-by-step explanation:
what is the surface area of a box with measurements length = 5.7 height = 8.5 and width = 1.9? I forgot what surface area is so I need help
Answers
Answer:
150.86
Step-by-step explanation:
to calculate the surface area the formula is 2(wl+hl+hw). Hope I helped!
Use the Law of Sines to solve for the variable. Round your answer to the
nearest whole number. Write the value only. *
Answers
Answer:
y ≈ 61
Step-by-step explanation:
Using the Sine rule in the triangle
[tex]\frac{y}{sin117}[/tex] = [tex]\frac{21}{sin18}[/tex] ( cross- multiply )
y × sin18° = 21 × sin117° ( divide both sides by sin18° )
y = [tex]\frac{21sin117}{sin18}[/tex] ≈ 61 ( to the nearest whole number )
WILL MARK BRAINLIEST
Answers
Answer:
1 sample
Step-by-step explanation:
There is only one sample given for 20%
Answer:
the answer would be
b) 1 sample
The price of a laptop decreased from RS50 000 to Rs45 000. Calculate the percentage decrease in the price.
Answers
Answer:
Step-by-step explanation:
loss amount=Rs 50000-Rs 45000
=Rs 5000
loss%=loss amount/original amount100%
=5000/50000*100
=500000/50000
=10%
a)
Complete this prime factor tree:
36
b)
Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest.
Answers
PLEASE HELP I WILL GIVE BRAINLiST
Write the equation of the circle graphed below.
Answers
Answer:
(x+5)²+(y+5)²=18
Step-by-step explanation:
r=√(-8+5)²+(-2+5)²=√(-3)²+(3)²=√9+9
=√18
the equation is :
(x+5)²+(y+5)²=18
⚠️PLEASE HELP DUE SOON⚠️
if y=2x-3/3, then x=?
Answers
Answer:
Now, find the point where these two lines meet—that is the point with ... We just used them to help us locate the point \left(1,3\right) . ... Since x=2 , the point is to the right of the y-axis. Since y=-3 , the point is below the x-axis. ... Can you tell just by looking at the coordinates in which quadrant the point \left(-2 ... \left(3,-3\right)
Answer:
x = y/2+1/2
Step-by-step explanation:
Simplify the equation, leaving X on one side, giving you x=y/2+1/2.
between which two consecutive numbers does the square root below lie ?
[tex] - \sqrt{128} [/tex]
Answers
Answer:
where is the second one?
Step-by-step explanation:
What is the value of x?
Answers
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
In a sale, the selling price of a bicycle is reduced by 20%. Find the sale price of the bicycle, given that its normal selling price is Rs 3300.
Answers
Answer:
1-0.2=0.8
0.8*3300= 2640
Original price = 3300
sale = 20% = 3300×20/100 = 660
Selling price= 3300-660= 2640 rs
the sale price of the bicycle is 2640 Rs
find nth term of -15,-18,-21.....
Answers
Answer:
I think the question is from Sequence.
on the basis that I have studied I think this is the way. if I am wrong sorry
What is the radius of polygon JKLMN ?
Answers
Answer:
Radius of the circle is 5 units.
Step-by-step explanation:
JKLMN is a regular polygon inscribed in a circle.
Since, its a regular polygon,
JN = NM = 5.88 units
"Perpendicular drawn from the center of the circle to any chord is the bisector of the chord"
Therefore, PQ will be the perpendicular bisector of chord NM.
QM = [tex]\frac{1}{2}(NM)[/tex]
QM = [tex]\frac{1}{2}(5.88)[/tex]
QM = 2.94 units
By applying Pythagoras theorem in ΔPQM,
PM² = PQ² + QM²
PM² = (4.05)² + (2.94)²
PM = [tex]\sqrt{16.4025+8.6436}[/tex]
PM = [tex]\sqrt{25.0461}[/tex]
PM = 5 units
Therefore, radius of the circle is 5 units.
what is the degree of polynomial
f (x) = 2x² - 5x+6 ?
Answers
Answer:
2
Step-by-step explanation:
The degree of a polynomial is its highest exponent value: in this case, thats just two!
Answer:
degree 2
Step-by-step explanation:
The degree of a polynomial is determined by the largest value of the exponent attached to the variable.
f(x) = 2x² - 5x + 6 ← has the term 2x² with exponent 2 ( largest ), then
f(x) is a polynomial of degree 2
What is the average rate of change of the function y = cos(x) over the interval [0,2]?
Answers
Answer:
-0.708073 this is the exact answer im not sure if they want you to round or not
Step-by-step explanation:
What is the value of this expression? 6 (24 ÷ 3) - 2
Answers
Answer:
46
Step-by-step explanation:
Follow the order of operations
The value of the expression 6(24 ÷ 3) - 2 is 46.
How to solve the expressionTo evaluate the expression 6(24 ÷ 3) - 2, we follow the order of operations, which is commonly referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
First, we simplify the expression inside the parentheses:
24 ÷ 3 = 8
Now we substitute the result back into the original expression:
6(8) - 2
Next, we perform the multiplication:
6 * 8 = 48
Finally, we perform the subtraction:
48 - 2 = 46
Therefore, the value of the expression 6(24 ÷ 3) - 2 is 46.
Learn more about expression at
https://brainly.com/question/1859113
#SPJ2
HELP ON PAGE 25 POINTS
Answers
Answer:
Part A: ≈112.06
Part B: B
Step-by-step explanation:
Find the surface area and volume for the separate shapes, then add them up together
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Have a good day :)
10 mi
7 mi
7 mi
I need the volume for
Answers
Step-by-step explanation:
multiply length, width and height. 7x7x10=197.33
Please help me I really need this
Answers
Answer:
y-intercept = 2 so it’s the first answer option
Step-by-step explanation: How to find the slope. Slope is rise/run so choose one point on the graph, and figure out how many squares it goes up and how many over, that’s your slope. Then, to find the y-intercept, find the point where it intersects on the y-axis, in this case it looks like 2.
Write the equation of the line in fully simplified slope-intercept form.
Answers
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What is 63,998 in expanded form?
Answers
Answer:
60,000 3,000 900 90 8
Step-by-step explanation:
Answer:
60,000+3,000+900+90+8
Step-by-step explanation:
I used go ogle
Gracie needs to measure 2⅜ cups of sugar. How many times must she fill up a ⅓ measuring cup to get the correct amount of sugar?
Answers
Answer:
7 and 1/8 i think
Step-by-step explanation:
Need helppp........!!!!!!!!!!
Answers
HURRY PICTURE INCLUDED
The highlighted part of this picture is a good representation of which
geometric term?
OA) line segment
B) ray
OC) line
OD) plane
Answers
The highlighted part is called Ray.
By the way, In geometry, a ray can be defined as a part of a line that has a fixed starting point but no endpoint.find m
PLEASE I NEED HELP ASAP PLZZZ
Answers
Answer:
M means measure so you're finding what PQR is
m∠PQR = about 60°
write a quadratic function in standard form whose graph passes through (-6,0)(-4,0)(-3,-18) f(x)= [answer]
Answers
Using the Factor Theorem, the quadratic equation is given by:
[tex]f(x) = 6(x^2 + 10x + 24)[/tex]
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem, we have a quadratic function, meaning that it has two roots, and it passes through (-6,0) and (-4,0), hence the roots are [tex]x_1 = -4, x_2 = -6[/tex], thus:
[tex]f(x) = a(x + 4)(x + 6)[/tex]
[tex]f(x) = a(x^2 + 10x + 24)[/tex]
Considering that it passes through (-3, -18), we can find a, hence:
[tex]18 = a[(-3)^2 + 10(-3) + 24][/tex]
[tex]3a = 18[/tex]
[tex]a = 6[/tex]
Hence the equation is:
[tex]f(x) = 6(x^2 + 10x + 24)[/tex]
More can be learned about the Factor Theorem at https://brainly.com/question/24380382
In which function is the range equal to the domain?
1) y = 2
2) y=x?
3) y = log x
4) y = x