Answer:
The answer is below
Step-by-step explanation:
A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.
The equation of a parabola with a horizontal line as directrix is given by:
(x - h)² = 4p(y - k)
where y = k - p is the directrix and the focus = (h, k + p)
Given that parabola has a directrix at y = 2 and a focus at (5, 0)
Therefore:
y = k - p
k - p = 2 (1)
focus = (h, k + p) = (5, 0)
h = 5, k + p = 0
k + p = 0 (2)
Solve equation 1 and 2 simultaneously by adding both equations together:
2k = 2
k = 1
Substitute k = 1 in k + p = 0 to find p:
1 + p = 0
p = -1
Therefore h = 5, p = -1 and k = 1
Substitute the values of h, k and p into the equation of a parabola:
(x - h)² = 4p(y - k)
(x - 5)² = 4(-1)(y - 1)
(x - 5)² = -4(y - 1)
x² - 10x + 25 = -4y + 4
-4y = x² - 10x + 21
4y = 10x - x² - 21
Brooke is 5 feet tall. She and her class are walking
through a wooded arca looking for a tree that is 50 feet
tall. If the length of Brooke's shadow is 2 feet, how
long will the shadow be of the 50 feet tree?
Answer:
brooke is short
Step-by-step explanation:
accidentally chose that but please help will give brainliest PLEASE
Answer:
The first chart
Step-by-step explanation:
when its set up as y = [5x] is 5 times x equals y, so going through each question, -2 x 5 = -10, -1 x 5 = -5, 0 x 5 = 0, 1 x 5 = 5, and 2 x 5 = 10
What is the solution to this system of equations -3x+5y=-2
3x+7y=26
Answer: -3x+5y=-2 = x=5/3y+2/3
3x+7y=26 = x=-7/3y+26/3
Step-by-step explanation:
Answer:
A (4,2)
Step-by-step explanation:
edge
The price of a refrigerator is Rs 66,400 after including GST at the rate of 17% . what is the amount of GST.
need totally explanation
The amount of GST is Rs 9,647.87
Step-by-step explanation:
Given :• The price of a refrigerator = Rs 66,400
• Price including GST
• Rate of GST = 17 %
To Find :• The amount of GGS
Solution :★ GST Amount = Original cost of the product or service - (Original cost of the product or service) x (100 ) / (100 + GST%)
⇒ 66,400 − (66,400) × (100) / (100 + 17)
⇒ [tex]\mathsf{66,400 - ( 66,400 \times \dfrac{100}{(100 + 17)} )}[/tex]
⇒ 9,647.87
GST Amount = Rs 9,647.87
∴ The amount of GST is Rs 9,647.87
-9 + 4 =
How many negative chips ?
How many positive chips?
How many zero pairs?
Final answer:
Answer:
-9
4
1
-9 + 4 = -5
Step-by-step explanation: You just do the problem regularly and add a negative sign.
giving brainliest for correct answer ! not a hard problem .
Answer:
25.6
Step-by-step explanation:
x=(20)tan52
x=25.6(correct to nearest tenth)
What is 83 + 119 + 17 =
Answer:
219
Step-by-step explanation:
83 + 119 = 202
202 + 17 = 219
Answer:
219
Step-by-step explanation:
83 + 119 = 202
202 + 17 = 219
What are the Slope and Y-intercept of y>-2x+3
Answer:
The y-intercept would be y > 3
The slope would be -2
Step-by-step explanation:
Slope is very simple to find, as it is just the value next to x.
The y-intercept would be 3 as it is outside the ax.
pls can u help me this is due now T-T
Answer:
SOLUTION: X=5
Step-by-step explanation:
x=5
y=27
vertical input= (0, 1/9)
Hope that helps!
1 is the only number that's neither prime nor composite-right?
Answer:
No
Step-by-step explanation:
1 is a prime number
0 is the only number that is neither prime or composite
Hello there!
No, 1 is not the only number that is neither prime nor composite.
0 is neither prime not composite because it has infinite factors. Composite numbers have more than 2 factors, but they must have a finite amount o factors. Since 0 has infinite factors, then it's neither prime nor composite.
Hope it helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature[/tex]
Why can't we rewrite the math sentence 4+4+4+4+4+4 with an exponent?
Answer:
Because your adding not multiplying
Step-by-step explanation:
Answer:
Look Down
Step-by-step explanation:
You are adding, when you add it up you get 24 which isnt convertable to exponents. Exponenets multiply out such as 4*4*4*4*4*4
help help asap plss
Answer:
Step-by-step explanation:
Bacterial and animal cell are two types of living cells.
...
Animal Cell. Bacteria cell
It does not have mitochondria. It has mitochondria in the cytoplasm.
It has well-defined cell shape. It has irregular shapes as it lacks the cell wall Some bacteria have fimbria on the cell surface.
Sin 38° = x/21
How to solve? what is answer?
Answer:
x = 12.936
Step-by-step explanation:
sin(38) = .616
x/21 = .616/1
x = 12.936
Answer: x= 12.92889098
Step-by-step explanation:
Step 1: Cross multiply sin38/1 with x/21
Step 2: x= 21 sin38
step 3: use a scientific calculator (you can type in desmos calculator for one) to input 21 sin(38) to get answer.
The sides of a triangle are in the ratio 10:6:24. The perimeter is 440 inches. What is the length of each side?
Answer:
one side = 110 inches
second side = 66 inches
third side = 264 inches
Step-by-step explanation:
10 + 6 + 24 = 40
one side of Δ = 10/40 x 440 = 110
second side of Δ = 6/40 x 440 = 66
third side of Δ = 24/40 x 440 = 264
(Multiple choice/ brainiest will be given)
Can I please get some help with this answer?
Answer: d
Step-by-step explanation:
Help please
the graph show a school profit P for selling x lunches on one day. Part A. what is the scholl profit sir selling 120 lunches?
Answer:
$180
Step-by-step explanation:
Find the radius, and the approximate circumference and area of the circle below. (Use 3 for \pi)
(Pi value = 3)
Given diameter of circle = 12 inches
Radius of circle :
[tex] = \tt\frac{diameter}{2} [/tex]
[tex] = \tt\frac{12}{2} [/tex]
[tex] = \tt6 \: inches[/tex]
Thus, the radius of this circle = 6 inches
Circumference of this circle :
[tex] = \tt2\pi r[/tex]
[tex] =\tt 2 \times 3 \times 6[/tex]
[tex] = \tt36 \: inches[/tex]
Thus, the circumference of this circle = 36 inches
The area of this circle :
[tex] = \tt\pi {r}^{2} [/tex]
[tex] =\tt 3 \times 6 \times 6[/tex]
[tex] = \tt108 \: {inches}^{2} [/tex]
Thus, the area of this circle = 108 inches²
Therefore,Radius = 6 inchesDiameter = 12 inchesCircumference = 36 inches Area = 108 inches²PLEASE PLEASE PLAESE HOW MANY TIMES CAN I SAY PLEASE I NEED HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
answer like
answer 1. _____________
Answer 2.____________
answer 3.______________
answer 4.______________
Answer:
1.supplementary angles adjacent angles
2.complementary angles adjacent angles
3.vertical angles
4.complementary angles adjacent angles
Step-by-step explanation:
belen can make 15 necklaces in 3 1/2 hours. how many can she make in one hour?
Answer:
30
Step-by-step explanation:
How to I find the common difference and the first five terms using recursive formula?
Answer:A recursive sequence is a sequence in which terms are defined using one or more previous terms which are given. If you know the nth term of an arithmetic sequence and you know the common difference , d , you can find the (n+1)th term using the recursive formula an+1=an+d .
Step-by-step explanation:
The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. What is the area of the base of the cylinder? Express your answer in terms of 1. Do not include units (cm2) in your answer. Use pi to represent the n symbol. For example: 321 would be typed as 32pi
Answer: 16pi
Step-by-step explanation:
Can someone help with this.
Answer:
its A
Step-by-step explanation:
All four angles are not congruent, only the two opposite of each other are congruent
Explain how ribosomes, endoplasmic reticulum, transport vesicles, and the Golgi interact to enable cellular secretion:
Answer) The endoplasmic reticulum takes the proteins that are made by the ribosomes and folds them into sacs that are called cisternae. It then transports these folded proteins to the Golgi apparatus. The Golgi apparatus is a series of membranes that look like flattened pancakes
I hope it is helpful
What is the area of the rectangle
A)60 sq. in.
B)40 sq. in.
C)20 sq. in.
D)28 sq. in.
Answer:
B) 40 sq. in
Step-by-step explanation:
4 times 10 = 40
trigonometry problem help please and thank you find angle wxz photo of problem is attached
Answer:
wxz = 25°
Step-by-step explanation:
way = 90
zxy = 65
So wxz = 25
Hope it helps you
Its PreCal I’ll give brainliest
Answer:
tan²x + tan x - 12 = 0 (1)
suppose: tan x = t
(1)=> t² + t - 12 = 0
a = 1 b = 1 c = -12
⇒ Δ = b² - 4ac = 1 + 48 = 49 > 0 => has 2 solutions
=> t = [tex]\frac{1+\sqrt{49} }{2}=\frac{8}{2}=4[/tex]
or t = [tex]\frac{1-\sqrt{49} }{2}=\frac{-6}{2}= -3[/tex]
because t = tan x => tan x = 4 or tan x = -3
because x ∈ [0;2pi) => with tan x = 4 => x = arctan(4) or x = arctan(4) + pi
with tan x = -3 => x = arctan(-3) + pi
Step-by-step explanation:
given f(x)=2x-4 and g(x)=-3x^2+5x determine f(3)-g(2)
Answer:
4
Step-by-step explanation:
Evaluate f(3) and g(2)
f(3) = 2(3) - 4 = 6 - 4 = 2
g(2) = - 3(2)² + 5(2) = - 3(4) + 10 = - 12 + 10 = - 2
Then
f(3) - g(2) = 2 - (- 2) = 2 + 2 = 4
PLEASE HELP
Which of the following questions are correct? Select all that apply.
Answer:
I think A and D are both correct
please answer asap i need this turned in soon
Answer:
m =8
k = 7
hope it help
plz follow me
-5x + y = -1x
10x - 2y = 2
Answer: Below is the first one
Step-by-step explanation: Second one is right here x=1/5+y/5