Answers
Answer:
Step-by-step explanation:
This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.
The form that the parabola is currently in is
[tex]y=a(x-h)^2+k[/tex] so that means that [tex]a=\frac{1}{8}[/tex]. We can use that to solve for p in the formula
[tex]p=\frac{1}{4a}[/tex] so
[tex]p=\frac{1}{4(\frac{1}{8}) }[/tex] which simplifies to
[tex]p=\frac{1}{\frac{1}{2} }[/tex] which gives us that
p = 2. Now to find the directrix:
y = k - p becomes
y = 0 - 2 so
y = -2, choice A.
Related Questions
The height of a seat on a Ferris wheel can be modeled as H (t) = 48 sin (pi/30 t+ 3pi/2) + 53, where tis time in seconds and H(t) is height in feet How far off the ground is a seat when it is at the top of the Ferris wheel?
Answers
Answer:
101ft
Step-by-step explanation:
the answer is in the above image
please can someone help me with this
Answers
Answer:
brainllest if right
90
Step-by-step explanation:
Please help 7th grade math and please give explanation so I can show work I will give brainleyist or a thank you !!!!
Answers
Answer:
so easy q.
bc u r in 7th lol
it's 60
for both
Math help please show work thanks
Answers
Answer:
The curve surface area(CSA) of a cylinder is 2πrh.
Since diameter=1.5 in.
radius=diameter/2
=1.5/2 in.
=0.75 in.
And, the height of the bottle is 5 in.
Now,
CSA=2πrh
=2π*0.75*5 in^2
=15π/2 or 23.56 in^2
The size of the label needed to cover the entire bottle is 15π/2 or 23.56 in^2.
Show √7 , √5 on a number line.
please hurry up my cissy and oppa
Answers
Answer:
Draw the number line like in the picture.
Step-by-step explanation:
√5 is about 2.236, meaning it's kind of close to 2.25.
√7 is about 2.646, meaning it's very close to 2.625.
Can someone
Please
Help
Me
Find the surface area of this sphere.
Round to the nearest tenth.
16 ft
Formulas for Spheres
S.A. = 4nr?
V = rer
[?] ft?
Answers
[tex]804.2\:ft^{2}[/tex]
Step-by-step explanation:
[tex]A=4 \pi r^{2}[/tex]
We are given D = 16 ft, which means that r = (1/2)D = 8 ft. Therefore, the surface area of the sphere is
[tex]A=4 \pi (8 ft)^{2} = 804.2\:ft^{2}[/tex]
The surface area of the sphere is approximately 804.2 square feet.
What is a sphere?It is a three-dimensional figure where the volume is given as:
The volume of a sphere = 4/3 πr³
We have,
The surface area of a sphere with diameter d is given by the formula:
SA = 4πr²
where r is the radius of the sphere, which is half the diameter. In this case, the diameter is 16 feet, so the radius is 8 feet.
Plugging in the value of r, we get:
SA = 4π(8²)
SA = 4π(64)
SA = 256π
Rounding to the nearest tenth gives:
SA ≈ 804.2 square feet
Therefore,
The surface area of the sphere is approximately 804.2 square feet.
Learn more about sphere here:
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What is the period of the graph of…
Answers
The +3 translates the whole curve up 3 units
The period tells you the space between repetitions of the curve.
When x = 0, y = 2 x 1 + 3 = 5
This next happens when pi/3 x = 2pi so x would = 6
The period of the curve = 6
Triangle ACB is the pre-image and triangle DFE is the image. What is the scale factor of the dilation?
Answers
Answer:
½
Step-by-step explanation:
the scale factor of dilation = 6/12 = ½
pls help I'll mark brainliest
Answers
Answer:
305°
Step-by-step explanation:
The angle between the north line at L and the line connecting PL is
125° (75° + 50° ) ← alternate angle between parallel lines
Then
bearing of P from L is 180° + 125° = 305°
The container of orange juice held 53 cups of juice. If a serving of orange juice is ã of a cup of orange juice, to the
nearest whole serving, how many servings were in the container?
05 servings
O 6 servings
15 servings
19 servings
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
5 servings = 265 cups of orange juices
5 servings = 318 cups of orange juices
5 servings = 795 cups of orange juices
5 servings = 1,007 cups of orange juices
Step-by-step explanation:
Given:
1 serving contain = 53 cups of orange juices
Find:
Serving in;
5 servings
6 servings
15 servings
19 servings
Computation:
5 servings = 53 x 5
5 servings = 265 cups of orange juices
5 servings = 53 x 6
5 servings = 318 cups of orange juices
5 servings = 53 x 15
5 servings = 795 cups of orange juices
5 servings = 53 x 19
5 servings = 1,007 cups of orange juices
D equals f plus fx, solve the equation for x
Answers
Answer:
question says D = f + fx,
then,
D = 2fx
so,
D/2f = x
Statement ∠T and ∠S are complementary ∠S and ∠U are complementary m∠T+m∠S=90 m∠S+m∠U=90 m∠T+m∠S=m∠S+m∠U m∠U=m∠T ∠U≅∠T
Answers
Answer:
See Explanation
Step-by-step explanation:
According to the Question,
Given That, ∠T and ∠S are complementary & ∠S and ∠U are complementaryThus, m∠T + m∠S = 90 ------ Equation 1
& m∠S + m∠U = 90 ------- Equation 2
Now, Subtract Equation 2 From Equation 1, we getm∠T - m∠U = 0
Thus, m∠T = m∠U
The measure of angle T is equal to angle U.(∠U≅∠T).
answer the question in detail !!!
Answers
Answer:
ok so this means 2/5 of the plant have germs and
5-2=3
so 3/5 plants are all good
5 times 20=100
3 times 20=60
so 60% of the plants have germs
Hope This Helps!!!
Why is addition used to represent the submarine’s position changing from －8
feet to 0 feet below sea level?
What integer represents a submarine 8 feet below sea level?
What integer represents a submarine rising 8 feet?
Answers
-8ft (below from sea level)
8ft (above from sea level)
Please mark brainliest!!
find the compound ratio of the following
a) 2/15 : 3/7 and 5/8 : 14/27
please help me
give in step by step
Answers
Answer:
1/12 : 2/9Step-by-step explanation:
Compound ratio is the multiplication of the ratios:
2/15 : 3/7 and 5/8 : 14/27Multiply to get:
(2/15*5/8) : (3/7*14/27) = 1/12 : 2/9Given ratios,
2/15 : 3/7 and 5/8 : 14/27
Then to find the compound ratio,
We have to multiply,
→ (2/15 × 5/8) : (3/7 × 14/27)
→ 10/120 : 42/189
Now simplify the ratio,
→ 1/12 : 2/9
Thus, required ratio is 1/12 : 2/9.
Find the nth term for 3,8,13,18
Answers
Answer:
5n - 2
Step-by-step explanation:
3 + x = 8
8 - 3 = 5
5 = x
3 (first term) - 5 = -2
5n - 2
Answer:
nth term = 5n - 2
Step-by-step explanation:
The given sequence is 3, 8, 13, 18.
To find the nth term, we have to find the algebraic expression.
Algebraic expression = dn + b'd' means the common difference which can be found by subtracting one term with its previous term. 'b' is the difference between the first term and the com - mon difference.So, d = 8 - 3
d = 5
b = first term - common difference
b = 3 - 5
b = (-2)
Algebraic expression or the nth term =
5n + (-2)
5n - 2.
Thus, the nth term equals to 5n-2!
Consider the equations:
y=|x-1| and y=3x+2
What is the approximate solution of this system of equations?
Answers
Answer:
ans: (-3/2, -5/2), (-1/2, -5/4)
Step-by-step explanation:
here;
y =| x - 1| can be any of form I.e
y = x - 1 say equation••••1
OR
y = -( x - 1) say equation •••2
our next equation is,
y = 3x + 2 say equation ••••3
substituting 'y' from equation 1 and 2 to 3
we got
x - 1 = 3x + 2 -( x - 1) = 3x +2
- 3 = 2x -1 = 4x
hence
x= -3/2 and -1/4
substituting x in equation 3 we got
y = -5/2 and -5/4
OR ,
can be solve by iterative method which is quite long
Answer:
(-0.2,1.2)substitute 3x+2 for y and set them equal to eachother then plug in x for y
Step-by-step explanation:
I need help w/ this.
Answers
Answer:
just click in the box it literally says
2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.
Answers
2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.
Solution:-[tex]\sf{z = kxy}[/tex]
[tex]\sf\rightarrow{16=k(4)(6)}[/tex]
[tex]\sf\rightarrow{K= \frac{16}{24} }[/tex]
[tex]\sf\rightarrow{K={\color{magenta}{ \frac{2}{3} }}}[/tex]
Answer:-The equation of variation is,
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \color{red}\sf{z = \frac{2}{3} \: xy.}[/tex]
[tex]{\large{——————————————————}}[/tex]
#CarryOnMath⸙
2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.
Answer:[tex]\large \rightarrow \bf {The \: answer \:is \: {\green{z = \frac{3}{2} \: xy}}}[/tex]
The solutions to the equation -4|x + 9| = -8 are:
7, 11
7, -11
-7, 11
-7, -11
Answers
Answer:
option 4
Step-by-step explanation:
Given Equation :-
=> -4| x + 9 | = -8
To FinD :-
=> Solution of the equation .
Solving it :-
=> -4| x + 9 | = -8
=> | x + 9 | = -8/-4
=> |x + 9| = 2
=> ( | x + 9 | )² = 2²
=> x + 9 = ±2
=> x = -9 +2 , -9-2
=> x = - 7 , -11
Option 4 is correct.
Answer:
x = - 7 , - 11
Step-by-step explanation:
[tex]-4 | x +9| = - 8\\\\\frac{-4}{-4} |x+9| = \frac{-8}{-4}\\\\1 | x+9| = 2\\\\x+9 = - 2\ , x + 9 = 2\\\\x + 9 - 9 = - 2 - 9 , \ x + 9 - 9 = 2 - 9\\\\x + 0 = - 1 1 \ , \ x + 0 = - 7\\\\x = -11 \ , \ x = - 7[/tex]
Please show your working too
1. Five men takes 3 hours and 20 minutes paint a house. How long would it take four men to paint a similar house? Give your answer in hours and minutes.
2. If 24 houses can be built by 6 builders in one year, how many builders would it take to build 52 houses in the same amount of time?
3. Two people can build four identical walls in three days. At this rate, how many of these walls could ten people build in 3.75 days?
4. Two toy makers can make eight toy soldiers in two weeks. How many toy soldiers could seven toy makers make in three weeks if they work at the same rate?
Answers
Answer:
1. 4hrs and 10mnts
2. 13 builders
3. 25 walls
4. 52 toy soldiers
Step-by-step explanation:
1. then, one man can do it in 16hrs and 40mnts, so, 4 men would take 4hrs and 10mnts
2. one builder can build 4 houses in a year, so 13 builders are needed to build 52 houses
3. they can do it at a rate of 2 walls per person for 3 days, so 10 ppl can make 25 walls in 3.75 days
4. 4 toys per person for 2 weeks, so 7 makers can make 52 toys for 3 weeks
Which expression correctly represents the perimeter of a rectangle that is 12 centimeters long and 7 centimeters wide?
Answers
Answer:
The expression for the perimeter of the rectangle is:
P = 2*(12 cm) + 2*(7 cm)
And the perimeter is:
P = 38cm
Step-by-step explanation:
We know that for a rectangle of length L and width W, the perimeter is given by:
P = 2*L + 2*W
So, if we have a rectangle that is 12 cm long, we have L = 12cm
and if the rectangle is 7cm wide, we have W = 7cm
Now we can replace these in the perimeter equation to get:
P = 2*(12 cm) + 2*(7 cm)
P = 24cm + 14cm
P = 38cm
work out the sizeof angle X
Answers
Answer:
x = 13°
Step-by-step explanation:
Since the lines are parallel , then
the lower left vertex of the triangle = 85° ( alternate angles )
the lower right vertex of the triangle = 180° - 98° = 82° ( adjacent angles )
Then
x = 180° - (82 + 85)° = 180° - 167° = 13° ( angle sum of triangle )
Find the slope of the line below. Enter your answer as a fraction or decimal. Use a slash mark (/) as the fraction bar if necessary.
Answers
Answer:
1/4
Step-by-step explanation:
We can use the slope formula to find the slope
m = (y2-y1)/(x2-x1)
= (2-0)/(4 - -4)
= (2-0)/( 4+4)
= ( 2/8)
= 1/4
How many bacteria are in generation 9?
O A. 1,180,980
O B. 393,660
C. 1440
O D. 6561
Answers
Answer:
B. 393,660
Step-by-step explanation:
lemme get Brainliest please
Answer:
B. 393,660
Step-by-step explanation:
I plugged it into the symbolab calculator and attached the steps below! Hope this helps!
Confused on how to solve this problem, please help and offer a step by step explanation
Answers
Answer:
7x+5=180
7x=175
x=25
Hope This Helps!!!
What is the length of EF in the right triangle below?
E
19
12
F
Answers
Answer:
F
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
EF² + 12² = 19²
EF² + 144 = 361 ( subtract 144 from both sides )
EF² = 217 ( take the square root of both sides )
EF = [tex]\sqrt{217}[/tex] → F
The length of EF in the right triangle below is √217.
Option F is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Using the Pythagorean theorem,
DE² = EF² + DF²
19² = 12² + EF²
EF² = 361 - 144
EF = √217
Thus,
The length of EF in the right triangle below is √217.
Learn more about the Pythagorean theorem here:
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NEED HELP ASAP
The length of a rectangular parking lot at the airport is 2/3 mile.if the area is 1/2 square mile, what is the width of the parking lot?
Answers
Answer:
3/4 mile
Step-by-step explanation:
[tex]A = l *w\\\frac{1}{2} = \frac{2}{3} * w\\w = \frac{3}{2} * \frac{1}{2}\\w = 3/4 mile[/tex]
which of these is a number that can be expressed as a nonrepeating, nonterminating decimal?
Answers
Answer:
an irrational number
Step-by-step explanation:
Answer:
Irrational numbers
Step-by-step explanation:
First, to solve this question, we need to know what irrational numbers are. Irrational numbers are numbers that cannot be expressed as a simple fraction. A nonterminating decimal cannot be expressed as a simple fraction, therefore making it an irrational number.
Hope this helps!
What’s the answers to this one
Answers
Answer:
g(- 2) = 0, g(4) = - 4
Step-by-step explanation:
x = - 2 in the interval - 2 ≤ x ≤ 4 , then
g(- 2) = 0
x = 4 in the interval 4 ≤ x < 10 , then
g(4) = - 4