what are all the key features of parabola

Answers

Answer 1

Answer:

A parabola has a vertex. The vertex is the point of a parabola where it changes direction. It also has an axis of symmetry which is an imaginary line that cuts it in two equal parts. A parabola may have x-intercepts ("zeros") which are points where the graph cross the x-axis. It may have x-intercepts which are points where the graph cross the x-axis.


Related Questions

round to the nearest tenth place it is repeating decimal 4/6

Answers

Answer:

0.7

Step-by-step explanation:

I divided 4 by 6

0.6666666666666...

Simplify to 0.7

Rodger bowled seven games last week. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the median of Rodger's score?

Answers

Answer

The median is 155

Step-by-step explanation:

You get the numbers from least to greatest then the middle number is your median.

what is 1/4 liters in decimal? ​

Answers

Answer:

0.25 Liters

Step-by-step explanation:

Easy, I just memorize these :)

1/2 = 0.5

1/3 = 0.33

1/4 = 0.25

1/5 = 0.2

2/3 = 0.67

3/4 = 0.75

I'm always happy help :)

Please be fast! What is the true solution to the equation below?

Answers

Answer: x=75

Step-by-step explanation:

the answer of this problem is A

How many millimeters are in 1 meter? Use the metric table to help answer the question.


Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001


Please help me!!!

Answers

Answer:

100cm make one metre

10mm make 1cm

therefore, 100×10= 1000

Answer:

answer is d

Step-by-step explanation:

took a test:)

1
Two similar triangular pastures meet at a
vertex. The dimensions are given in yards.
How much fencing would be needed to
enclose the larger pasture?
11
7
5
13
х
y​

Answers

Answer:

35 by 40

Step-by-step explanation:

What is the slope of the line through (-10,1)(−10,1) and (0,-4)(0,−4)?
choose one:
A[-2]
B[2]
C[1/2]
D[-1/2]

Answers

Answer:

-1/2

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)

m= (-4 -1)/(0- - 10)

   = (-4-1)/(0+10)

   = -5/10

= -1/2

Answer:

D

Step-by-step explanation:

hope this helps

Line AB is tangent to circle O at B. Find the length of the radius r for AB = 8 and AO = 11.7. Round to the nearest tenth if necessary. The diagram is not to scale.13.7, 3.7, 8.5, 14.2

Answers

Answer:

8.5

Step-by-step explanation:

So the line segment that is tangent to the circle is 8, and AO is 11.7.

When you connect them, they are perpendicular, so you have a right triangle with one unknown leg that we will call X, a leg that is 8, and a hypotenuse that is 11.7.

If you use the Pythagorean Theorem, you will find that the leg is √72.89, which is approximately 8.5.

That leg is the radius.

This might be wrong so check it.

Please answer correctly !!!!! Will mark brainliest !!!!!

Answers

Answer:

-22

Step-by-step explanation:

From the graph, f(-8) = -2 and g(2) = -4, so the answer will be -3 * (-2) + 7 * (-4) = 6 - 28 = -22. Hope this helps!

Meg purchased a stereo system at a local store. It cost $675. She paid for it in six equal installments of $139 each. How much interest did she pay?

Explanation plz. Would like to know how to solve for future questions.

Answers

Answer:

159

Step-by-step explanation:

She paid 6 payments of 139

6*139 = 834

The cost was 675

834-675 =159

The interest was 159

Quiz 2
Below is how tall (in meters) each of the five players on Deandra's basketball team is.
17
2
1.6
Find the median height.​

Answers

2
Lowest to highest (middle number)

Students were asked to write 6x^5 + 8x - 3x^3 + 7x^7 in standard form. Shown below are four
student responses.
Anna: 7x^7+ 6x^5 - 3x^3 + 8x
Mario: -3x^3 + 6x^5 + 7x^7 + 8x
William: 8x + 7x^7+ 6x^5 - 3x^3
Olivia: 8x - 3x^3 + 6x^5 + 7x^7
Which student is correct?

Answers

Answer:

Anna

Step-by-step explanation:

In standard form the first term is the term with the largest exponent.

The following terms are then in descending order of exponents.

The term with the largest exponent is 7[tex]x^{7}[/tex] ← first term

The expression in standard form is

7[tex]x^{7}[/tex] + 6[tex]x^{5}[/tex] - 3x³ + 8x ← Anna

Una catedral esta situada en la cima de una colina. Cuando la punta de su torre se observa desde el ple de la loma, el angulo de elevacion es de 48°. Cuando se ve desde un punto a una distancia de 6096 m del pie del promontorio, el angulo de elevacion es de 41° la cuesta de la colina forma un angulo de 32° Aproxima la altura de la catedral

Answers

Answer:

La altura de la catedral es de 15119,97 m.

Step-by-step explanation:

Para una respuesta única, la pregunta se formula de la siguiente manera:

Una catedral se encuentra en la cima de una colina. Cuando se ve la parte superior de su torre desde la parte inferior de la colina, el ángulo de elevación es de 48 °. Cuando se ve desde un punto a 6096 m del pie del promontorio, el ángulo de elevación es de 41 °, la pendiente de la colina forma un ángulo de 32 ° Se aproxima a la altura de la catedral

Deje que la base de la colina = C

El punto 6096 m de la base = A

La cima de la catedral = B

∴ ∠A = 41 °

∠C = 180-48 = 132 °

∠B = 180 - (41 + 132) = 7 °

[tex]\dfrac{6096}{sin7} = \dfrac{CB}{sin41}[/tex]

∴ CB = 32816.59 m.

Punto E = Base de la catedral.

Punto D = Punto debajo de la base de la catedral al nivel del pie de la colina

Por lo tanto, la altura de la catedral = BE

 ∡ABE = 90-41 = 49 °

∡CED = 90-32 = 58 °

∴ ∡CEB = 180 - 58 ° = 122 °

De la regla seno tenemos;

[tex]\dfrac{CB}{sin(\angle CEB)} = \dfrac{BE}{sin(\angle ECB)}[/tex]

∠EBA = 90 - 48 = 42°

∠EBC = 42 - 7 = 35°

∠ECB = 180 - 35 - 122 = 23°

[tex]\therefore \dfrac{32816.59 }{sin(122)} = \dfrac{BE}{sin(23)}[/tex]

[tex]BE = \dfrac{32816.59 }{sin(122)} \times sin(23) = 15119.97 \ m[/tex]

La altura de la catedral = 15119,97 m.

What is the sum of the numbers one plus one

Answers

Answer:

2 is the sum of one plus one

Answer:

2

Step-by-step explanation:

Someone please help me

Answers

Choosing points (0;5) and (-2;-3) so we have
X = 0, Y = 5
X = -2, Y = -3

Equation: Y = aX + b
Using point 1:
5 = a0 + b
=> b = 5

Then again
Y = aX + b
-3 = a(-2) + 5
-3 - 5 = -2a
- 8 = -2a
=> a = 4

Y = 4X + 5

Answer:

y=4x+5

Step-by-step explanation:

Liner graph, therefore, y=mx+b; b is the y intercept; m is the slope

b=5, another pair is (-1,1)

need to find m first

Substituting we get:

⇒1= m(-1) + 5

⇒1= -1m + 5

⇒1-5= -m

⇒-4 = -m

⇒m=4

Eq: y=4x+5

                   

On his afternoon jog Chris took 42 minutes to run 3.75 miles. How many miles can he run in 90 minutes?

Answers

Answer:

8.03

Step-by-step explanation:

43 min = 3.75 miles

90 min = X

99 min×3.75÷42=8.03

A trucking company needs to move a pile of dirt. The dirt is stored in a pile shaped like a cone. The pile is 12 yards high, and its base has a diameter of 8 yards. How many truckloads will the company need, if each truck holds 6.28yd3 of dirt?

Answers

Answer:

it will take 96 truckload trips to move the entire pile of dirt.

Step-by-step explanation:

The formula for the volume of a cone of height h and radius r is

V = πr²h.  Here, the radius, r, is half the given diameter, or r = d/2, or r = (8 yds)/2, or 4 yds, and the height is 12 yds.  Thus, in this case, the volume of the conical pile of dirt is

V = π(4 yd)²·12 yd, or

V = 3.14(16 yd²)(12 yd), or

V = 602.88 yd³

If each truck holds 6.28 yd³ and we want to know how many truckloads the company needs in order to move the conical pile, we divide the above volume (V) by 6.28 yd³:

     V                    602.88 yd³

------------- = --------------------------------------- = 96

6.28 yd³       (6.28 yd³ per truckload)

We interpret this to mean that it will take 96 truckload trips to move the entire pile of dirt.

The number of truckloads the company will need is A = 32 truckloads

What is a Cone?

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Surface area of the cone = πr ( l + r )

where l = √ ( b² + r² )

Given data ,

The first step is to find the volume of the pile of dirt using the formula for the volume of a cone: V = ( 1/3 ) πr²h, where r is the radius of the base and h is the height.

The height of the cone is given as 12 yards, and the diameter of the base is 8 yards, so the radius is half of that, or 4 yards. Plugging in these values, we get:

V = (1/3)π (4 yards)² (12 yards)

V ≈ 201.06 yards³

Next, we need to find out how many truckloads the company will need.

We know that each truck can hold 6.28 cubic yards of dirt, so we can divide the total volume of dirt by the volume of one truckload to find the number of truckloads needed:

201.06 cubic yards / 6.28 cubic yards/truckload ≈ 31.99 truckloads

Since the company can't order a fractional number of truckloads, they will need to round up to the nearest whole number.

Hence , the company will need 32 truckloads to move the pile of dirt

To learn more about cone click :

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Find the length of the third side to the nearest tenth.

Answers

Answer:

5.3

Step-by-step explanation:

You use the Pythagoras theorem which is a^2+b^2=c^2.

Since you're solving for a side length that's not the hypotenuse you will manipulate the equation to c^2-a^2=b^2. From here you just plug in numbers.

8^2 - 6^2 = b^2

64 - 36 = b^2

b = sqrt(28)

b = 5.2915.... = 5.3

What is the value of h in the figure below?

Answers

Answer:

12

Step-by-step explanation:

ΔBAD is similar to ΔCBD.  So we can write a proportion:

BD / CD = AD / BD

h / 16 = 9 / h

h² = 144

h = 12

Rosa tiene 55 hojas de colores y
les encargo a sus dos sobrinas
Thalía y Paulina que hicieran
paquetes con 6 hojas cada uno.
¿Cuántos paquetes podrían hacer
con 55 hojas?​

Answers

Answer:

9 packages

Step-by-step explanation:

Each package will have 6 sheets, so to find the number of packages for 55 sheets, we can just use a rule of three:

1 package -> 6 sheets

x packages -> 55 sheets

x * 6 = 55 * 1

x = 55 / 6 = 9.17

Rounding down, we have x = 9 packages.

So it can be done a total of 9 packages, and there will be (55 - 9*6) = 1 sheet left.

Luis Marissa and Federico are raising money for a school trip Luis has raised 6/7 of the total amount needed,Marissa has raised 5/9 of the total amount needed and Federico has raised 11/10 of the total amount needed.Who has raised the MOST Money

Answers

Fredrico

The obvious answers because it is the only mixed fraction. It is already more than the others

OR you can say

Lcm of 7, 10, 9 is 630

9=3×3
10=2×5
7=7

Looking at the prime factorizations, all the factors need to be included. And so we'll get:
2×3×3×5×7=630

Let's check it:
630=9×(2×5×7)

630=10×(3×3×7)

630=7×(2×3×3×5)

The new fractions would be

540/630 for Luis

350/630 for Marissa

And 693/630 for Federico


Answer:

Federico

Step-by-step explanation:

In the last couple of months, Jack has seen rabbits in his backyard on
12 days and no rabbits on 36 days. What is the approximate probability
that he will see rabbits in his yard tomorrow?

Answers

Answer:

12/36 can be simplifed to 1/3 so he has a 1/3's chance of seeing them or 33%

Step-by-step explanation:

:)

Answer:

1/4

Step-by-step explanation:

Can someone help me answer this please.

Answers

Answer:

yes it is correct

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Here are some of the Pythagorean Triples:

(3,4,5)

(5,12,13)

(7,24,25)

(8,15,17)

(9,40,41)

(11,60,61)

(12,35,37)

(13,84,85)

You'll see that 8, 15, 17 is a Pythagorean Triple so yes, it is a right triangle.

can someone heelp me with this i just dont understand it

Answers

Answer:

I CAN!

Step-by-step explanation:

First, where does the line start?

y=1

It looks like it goes up, and then right each one unit. No?

So that would be

Y=1+1

Warning! DO NOT say y=2.  That is no good. You probably want to simplify it, but dont. Okay?

Happy to help

ОωО

please help me out on this! Thank you !

Answers

Answer:

98,100,A

Plz mark me brainliest.

Step-by-step explanation:

Work out the circumference of this circle. Give your answer in terms of pi and state it’s units

Answers

Circumference = Diameter x PI

The units is the same units as the diameter = cm.

The diameter is shown as 14 cm

Circumference = 14 x PI = 14PI cm.

A trampoline gym charges $6 for 1/2 of an hour. At that rate, what does 1 hour cost?

Answers

Answer:

Step-by-step explanation:

12

One hour's cost for the trampoline gym will be $12.

What is ratio?

The ratio can be defined as the number that can represent one quantity as a percentage of another. They can be compared only when the two numbers in a ratio have the same unit. Ratios are used to compare two objects.

Given, A trampoline gym charges $6 for 1/2 of an hour.

Since,

For 1/2 hour gym charges = 6$

So from the definition of the ratio

Thus,

For 1-hour gym will charge = 6*2

For 1 hour gym will charge = 12$

therefore, One hour cost for the gym will be $12.

Learn more about ratios here:

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Write the function for the graph.
(1,8) (0,2). will give brainliest ​

Answers

Answer:

D

Step-by-step explanation:

you have it right :)

The function with the coordinates (1, 8) and (0, 2) is [tex]f(x)=2\times(4)^x[/tex]. Therefore, option D is the correct answer.

What is the exponential function?

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

From the given graph, the coordinate points are (1, 8) and (0, 2)

Using the formula [tex]y=a\times(b)^x[/tex]

Where, a is x-intercept

Substitute, a=2 and (x, y)=(1, 8) in [tex]y=a\times(b)^x[/tex], we get

[tex]8=2\times(b)^1[/tex]

⇒ b=4

Substitute a=2 and b=4 in [tex]y=a\times(b)^x[/tex], we get

[tex]y=2\times(4)^x[/tex]

⇒ [tex]f(x)=2\times(4)^x[/tex]

Therefore, the function for the given coordinates is [tex]f(x)=2\times(4)^x[/tex].

Learn more about the exponential function here:

brainly.com/question/11487261.

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Martin drew a triangle. Its sides were 3 cm 3 cm3, start text, space, c, m, end text, 4 cm 4 cm4, start text, space, c, m, end text, and 5 cm 5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle is and .

Answers

Answer:

Martins triangle is a right angled triangle with hypotenuse of 5cm adjacent of 4cm and opposite side of 3cm.

Step-by-step explanation:

A triangle that has one of his angles to be 90° is known as a right angled triangle. The triangle has one right angle and two acute angles. The three sides of the triangle are namely the hypotenuse (which is the longest side), the opposite and the adjacent. One of the side of the triangle can be written in terms of the other using the theorem called pythagoras. According to the theorem;

[tex]hyp^{2} = opp^{2} + adj^{2} \\[/tex]

Based on the values of the sides given

hypotenuse = 5cm (being the longest side)

[tex]hyp^{2} = 3^{2}+4^{2} \\ hyp^{2} = 25\\hyp = \sqrt{25}\\ hyp = 5cm[/tex]

This shows that the triangle is a right angled triangle as described by Martin since we are able to express one side in terms of the other.

You were shining a flashlight at a metal wall and noticed that it reflected at a different angle. What could be a possible explanation for this?



your flashlight is running low
you pointed the flashlight at a funny angle
the metal surface isn’t flat
the metal isn’t shiny enough


EXPLAIN YOUR ANSWER

Answers

Answer:

Possible explanation might include

The metal surface isn't flatyou pointed the flashlight at a funny angleI want brainliest!!!

Step-by-step explanation:

to double check your work, just imagine every answer...

your flashlight is low on battery, doesn't reflect light at a different angle thats for sure

light at a funny angle would cause the light to be reflected at a different angle.

The surface isn't flat would cause light to reflected at a different angle

the metal isn't shiny doesn't cause light to be reflected at a different angle

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