if the vertex of a parabola is (0, -4), what is the axis of symmetry?

Answers

Answer 1
0 the axis of symmetry is always the x in the vertex
Answer 2

If the vertex of a parabola is (0, -4). The equation of the axis of symmetry for this parabola is x = 0.

How to convert the given equation to vertex form?

We first take out the coefficient of x squared, and then inside the bracket, we try to make a perfect square-like situation.

For parabolas, its axis of symmetry always goes through the vertex of the parabola.

In other words, the axis of symmetry is a vertical line that goes through the x-coordinate of the vertex.

Now, if the vertex of a parabola is (0, -4) which is at x = 0, y = -4.

Thus, the vertical line that goes through the coordinate of the vertex would be x = 0

Thus, the equation of the axis of symmetry for this parabola is x = 0.

Learn more about the vertex form of a quadratic equation here:

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Related Questions

Mason cuts a giant circular cookie into 5 equal pieces. Which statements are true about the angle measures of the pieces. Pls answer!

Answers

Answer:

360 divided by 5 equal pieces equals to 72 a whole circle is 360 degrees

Step-by-step explanation:

Im sorry if im wrong

Number line stuff please help

Answers

Answer:

Step-by-step explanation: Last one

Answer:

[tex]x\geq 6[/tex]

Step-by-step explanation:

The last answer listed

The radius of a sphere is 2.4 cm. Find the volume of the sphere.​

Answers

This is what I got I hope it helps

I will mark as brainliest. Thank you!

Answers

Answer:

2

24

5

4

Step-by-step explanation:

The given recipe makes 8 bags.

To make 16 bags, Lily needs twice as many ingredients because 8 + 8 = 16.

Since 1 cup of raisins makes 8 bags, 2 cups of raisins will make 16 bags.

To show the mathematical way:

Variable w = number of cups of raisins

1/8 = w/16

Cross multiply

1 × 16 = 8 × w

16 = 8w

2 = w

2 cups of pretzels makes 8 bags so 6 cups of preztels will make how many bags?

Set up an equation:

Variable x = number of bags

2/8 = 6/x

Cross multiply

2 × x = 8 × 6

2x = 48

x = 24

6 cups of pretzels will make 24 bags.

If 0.5 cup of pecans = 2.5 cups of crackers, then 1 cup of pecans = y cups of crackers?

Variable y = number of cups of crackers

Set up equation:

0.5/2.5 = 1/y

Cross multiply

0.5 × y = 2.5 × 1

0.5y = 2.5

y = 5

1 cup of pecans will need 5 cups of crackers

2 cups of pretzels = 8 bags, so 1 cup of preztels = z bags?

Variable z = number of bags

Set up equation:

2/8 = 1/z

Cross multiply

2 × z = 8 × 1

2z = 8

z = 4

PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANNIEST
( PLEASE SHOW WORK OR I MIGHT NOT GIVE BRAINIEST )

Answers

Option A is 100% right answer .

Because results has been normally distributed and every group of 100 people would have different heights .

What is the solution to the equation x3 = 8 /27?
A. x = ± 2/7
B. x = ± 2 /3
C. x = 2/27
B. x = 2/ 3

Answers

Answer: x=2/3

Step-by-step explanation:

x3=8/27

(x)^3=(2*2*2)/(3*3*3)

(x)^3=(2)^3/(3)^3

(x)^3=(2/3)^3

same power got cancel

x=2/3


Show whether each value in the set {2,3,4} is a solution of the equation x + 2 = 6.


PLEASE HURRY. THIS IS DUE IN 7 MINUTES

Answers

Answer:

4

Step-by-step explanation:

Plug in each given value into the expression to see if it is true.

Set given: {2 , 3  , 4}

Equation given: x + 2 = 6

First, plug in 2 for x. When x = 2:

x + 2 = 6

(2) + 2 = 6

4 ≠ 6.

Next, plug in 3 for x. When x = 3:

x + 2 = 6

(3) + 2 =6

5 ≠ 6.

Finally, plug in 4 for x. When x = 4:

x + 2 = 6

(4) + 2 = 6

6 = 6 (True).

In the given set, only 4 complete the equation.

~

What two things need to be true in order for a number to be written in
scientific notation?

Answers

Answer:

A number is written in scientific notation when there is a number greater than or equal to 1 but less than 10 multiplied by a power of 10.

If we have a number greater than 10, we move the decimal point to the left until we have a number between 1 and 10. ...

PLEASE HELP ASAP NEED ANSWER VERY QUICK!!

Answers

Answer:

Translation

Step-by-step explanation:

Not completely sure.

Can I have Brainliest?

Answer:

Translation

Step-by-step explanation:

The square is just moved to another side, its not rotted or reflected (if it were reflection it would be in the -x side)

The Wilsons have triplets and another child who is 14 years old. The sum of the ages of their children is 38. How old are the triplets? Please give me the equation!! Correct answer will get brainliest

Answers

Answer:

Each age of the triplets should be 8 years old.

Step-by-step explanation:

38-14=24

24 divided by 3 = 8

Answer:

Triplets are 8 not sure on the equation but I think its y = 8x + 38.

Step-by-step explanation:

I'm assuming that all their ages together equal 38 therefore I would take,

38 - 14 = 24; this means that the triplets ages added together equal 24. Since triplets means 3 I will take,

24 dived 3 = 8.

I check my work by doing 14 + 8 + 8 + 8 = 38.

you asked for an equation I'm sure what you mean but I can try; I'm putting it into slope intercept form.

y = 8x + 38

There are 12 steps in the staircase. Plz don't do it for points!!! How do you get the answer 150? i am really struggling will mark brainliest.

Answers

You can find “hypotenuse” using Pythagorean to get the length of one of those steps, 12.5, and you get 150 when you multiply that number by 12 for each of the 12 steps

The distance from point A to B is 1 foot.

Given,

There are 12 steps in the staircase.

We need to find the distance of the steps.

The distance is given by AB.

Feet is the plural form of the foot.

What is a Pythagorean theorem?

It states that in a right-angle triangle the hypotenuse is equal to the squares of the other two sides.

If the hypotenuse is H and the other two sides are A and B.

H² = A² + B²

We have a figure,

Where it is in a right-angled triangle.

Two sides are given: 7.5 inches and 10 inches.

And hypotenuse  = AB.

Applying the Pythagorean theorem.

7.5² + 10² = AB²

AB² = 56.25 + 100

AB² = 156.25

AB = [tex]\sqrt{156.25}[/tex]

AB = 12.5 inches

Now,

AB = 12.5 inches.

We need to convert it into feet.

12 inches =1 foot

Multiplying 12.5/12 on both sides.

12.5/12 x 12 inches = 12.5/12 x 1 feet

12.5 inches = 1.0416 feet

Rounding to the nearest tenth we get,

12.5 inches = 1 feet

AB = 1 feet

Thus the distance of the staircase from point A to B is 1 foot.

Learn more about the Pythagoras theorem here:

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Please i need help with this one​

Answers

Answer:

Step-by-step explanation:

use formula

F = 1/2*sqrt[ 4* r^2 -CD^2 ]  

F = 4.4721

Find the measure of the arc or angle indicated

Answers

Answer:

vdeuvhgcdfckzjhcvod ygxyfdcDcv

Step-by-step explanation:

given x=1/3y+5/3 and xy-x=2y+1

Solve for x and y simultaneously​

Answers

xy-x=2y+1
y = 2y+1
-2y -2y
-y = 1
/-1 /-1
Y= -1

X=1/3y+5/3
X = 1/3(-1) + 5/3
X = -1/3 + 5/3
x = 4/3
Also known as 1 1/3

Karthik borrows 1200 from junaid for 2 years for 20% rate of interest how much karthik should play to compound annually

Answers

Answer:

1728

Step-by-step explanation:

1200 borrowed for 2 years at 20% compounded annually ;

Using the compound interest formula :

A = P(1 + r/n)^nt

P = 1200 = principal

Time, t = 2 years

Rate, r = 20% = 0.2

A = 1200(1 + 0.2)^2

A = 1200(1.2)^2

A = 1200 * 1.44

A = 1728

Final amount to be repayed = 1728

Kwan recorded two sets of data.
Set 1: 9, 13, 6, 18, 15, 19, 20
Median: 15
Lower Quartile: 9
Upper Quartile: 19
Range: 14
IQR: 10
Set 2: 9, 13, 6, 18, 15, 19, 20, 63
Median: 16.5
Lower Quartile: 11
Upper Quartile: 19.5
Range: 57
IQR: 8.5
One set of data shows an outlier. Which measure of spread was most impacted by the outlier?
PLEASE HELP ASAP IM BEGGING

Answers

Answer:

Set 2 contains an outlier. The outlier would be 63. I would say the most affected measure of spread is the range.

Find the area of the regular polygon.
10
5 divided by 3

Answers

Answer:

Start by setting it up with the divisor 3 on the left side and the dividend 105 on the right side like this:

             

   3 ⟌ 1 0 5

Step 2:

The divisor (3) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

   3 ⟌ 1 0 5

Step 3:

Multiply the divisor by the result in the previous step (3 x 0 = 0) and write that answer below the dividend.

       0    

   3 ⟌ 1 0 5

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

   3 ⟌ 1 0 5

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (0) like this:

       0    

   3 ⟌ 1 0 5

     - 0    

       1 0  

Step 6:

The divisor (3) goes into the bottom number (10), 3 time(s). Therefore, put 3 on top:

       0 3  

   3 ⟌ 1 0 5

     - 0    

       1 0  

Step 7:

Multiply the divisor by the result in the previous step (3 x 3 = 9) and write that answer at the bottom:

       0 3  

   3 ⟌ 1 0 5

     - 0    

       1 0  

         9  

Step 8:

Subtract the result in the previous step from the number written above it. (10 - 9 = 1) and write the answer at the bottom.

       0 3  

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1  

Step 9:

Move down the last digit of the dividend (5) like this:

       0 3  

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1 5

Step 10:

The divisor (3) goes into the bottom number (15), 5 time(s). Therefore put 5 on top:

       0 3 5

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1 5

Step 11:

Multiply the divisor by the result in the previous step (3 x 5 = 15) and write the answer at the bottom:

       0 3 5

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1 5

         1 5

Step 12:

Subtract the result in the previous step from the number written above it. (15 - 15 = 0) and write the answer at the bottom.

       0 3 5

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1 5

     -   1 5

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 105 divided by 3 calculated using Long Division is:

35

0 Remainder

Step-by-step explanation:

Answer:

5 half of the e

Step-by-step explanation:

A collar of Styrofoam is made to insulate a pipe. Find its volume. The large radius R is to the outer rim. The small radius r is to the edge of the insulation. Use pi ≈ 3.14 r=2 R=4 h=20

Answers

Answer:

753.6 cubic units

Step-by-step explanation:

A collar of Styrofoam is made to insulate a pipe. Find its volume. The large radius R is to the outer rim. The small radius r is to the edge of the insulation. Use pi ≈ 3.14 r=2 R=4 h=20

The volume of the pipe formula is given as:

Use pi ≈ 3.14 r=2 R=4 h=20

Volume =h × π (R² -r²)

Volume =20 × 3.14 × (4² - 2²) cubic units

Volume = 62.8 × ( 16 - 4) cubic units

= (62.8 × 12 )cubic units

= 753.6 cubic units

Please help me with 1,2 I need help show me how you get the answer and the solution for both please

Answers

Answer:

1) 13 ft.

2) 23.3 m (when rounded to 1 dp)

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

1) Question 1

The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:

[tex]a^2+b^2=c^2\\12^2+5^2=c^2\\144+25=c^2\\144+25=c^2\\169=c^2[/tex]

Take the square root of both sides

[tex]\sqrt{169}=\sqrt{c^2} \\13=c[/tex]

Therefore, the length of the ladder is 13 ft.

2) Question 2

The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:

[tex]20^2+12^2=c^2\\400+144=c^2\\544=c^2[/tex]

Take the square root of both sides

[tex]\sqrt{544}=\sqrt{c^2} \\23.3=c[/tex]

Therefore, the length of the fence when rounded to 1 decimal point is 23.3 m.

I hope this helps!

Answer:

Step-by-step explanation:

Using Pythagorean therom ( A aquared + b Squared = c Squared) the answer to the first one is (12 x 12)+( 5 X 5 ) = 169 ft  ( i think)

second one hard srry i not smort forgot how to do person above me correct

Josef left a 22% tip on a $120 dinner bill.
How much was the tip?

Answers

Answer:

$26.40

Step-by-step explanation:

22% = 0.22

120(0.22) = 26.4

change 22% to 0.22
0.22 x 120 = 26.4
the tip was $26.4

What value of x makes the equation 3(x-6)-8x= -2+5(2x+1) true

Answers

Answer:

x= −7/5

Step-by-step explanation:

Step 1: Distribute and combine like terms

3(x−6)−8x=−2+5(2x+1)

(3)(x)+(3)(−6)+−8x=−2+(5)(2x)+(5)(1)(Distribute)

3x+−18+−8x=−2+10x+5

(3x+−8x)+(−18)=(10x)+(−2+5)(Combine Like Terms)

−5x+−18=10x+3

−5x−18=10x+3

Step 2: Subtract 10x from both sides.

−5x−18−10x=10x+3−10x

−15x−18=3

Step 3: Add 18 to both sides.

−15x−18+18=3+18

−15x=21

Step 4: Divide both sides by -15.

Hope this helps! :)

What number is 56% of 161?​

Answers

Answer: 287.50

Hope this helps!

Answer:

It is 90.16

Step-by-step explanation:

You can do this quite simply actually.

First, convert the 56 percentage into a decimal.

So, it is .56.

Then all you need to do is multiply .56 x 161 and it will give you 90.16!

Hope this helps and if you can, rate and thank so more people can be helped :)!

Have a great day!

PLEASE HELP ME !!! IT’S DUE TODAY !!!

Answers

Answer:

Bru how can u not know that

Step-by-step explanation:

1. 2 pieces

2. 0.008

3. 4 pieces

4.0.016

5. 8 pieces

6.0.32

7.16

8.0.64


Aaron has a box that has a length of 12 inches, a width of 6 inches, and a height of 9
inches. What is the volume of the box?

Answers

Answer:

649 inches cubed or in^3

Step-by-step explanation:

multiply all 3

so 12 x 6 x 9 =

648

How can-9 4/5
be expressed as the sum of its integer and fractional parts?

Answers

The fraction -9 4/5 can be expressed as the sum of its integer and fractional parts, which is -9 + 4/5

Expressing How can-9 4/5 as the sum of its integer and fractional parts

The integer part of a mixed number is the whole number portion, while the fractional part is the remaining fraction.

In this case, the integer part of -9 4/5 is -9, and the fractional part is 4/5.

To express the mixed number as the sum of its integer and fractional parts, we simply add the integer and the fraction:

So, we have

-9 + 4/5

When evaluated, we get

-9 + 4/5 = -45/5 + 4/5 = -41/5

Therefore, -9 4/5 can be expressed as the sum of its integer and fractional parts, which is -9 + 4/5 = -41/5.

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Please help I’ll make you the brainiest

Answers

A. Step 1
There should be no radicals in the equation

AABC is dilated by a factor of 5 to produce AA'B'C:
37
5
53
B
3
с
What is A'C, the length of AC after the dilation? What is the measure of A?
A. A'C' = 25, m A'= 37
B. A'C' = 15, m A'= 53
C. A'C' = 25, m A' = 185
D. A'C' = 1, m.A'= 37*

Answers

Answer: its A

Step-by-step explanation:

Trust me I learned the hard way

The length of AC after dilation will be 20. Then the measure of the angle ∠A' will be 37°.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

here, we have,

We have given that,

Triangle ABC is dilated by a factor of 4 to produce AA'B'C'.

The triangle ΔABC is dilated by a factor of 4 to produce the triangle ΔA'B'C'.

Then the length of AC after dilation. We have

A'C' = scale factor x AC

A'C' = 4 x 5

A'C' = 20

Then the measure of the angle ∠A' will be

There is no effect of dilation on the angle.

∠A = ∠A' = 37°

Thus, the correct option is A.

More about the dilation link is given below.

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The radius of the earth is 6378.1 km what is circumfrence of the earth in metres in standard form how many times can light encircle the earth per second

Answers

Answer:

Two things we need to remember:

Speed of light = c = 299,792,458 m / s

This means that the light in one second covers a distance of 299,792,458 m

And for a circle of radius R, the is:

C = 2*pi*R

where:

pi = 3.14

Then if the radius of the earth is 6,378.1 km, then the of the earth is:

C = 2*(3.14)*6,378.1 km = 40,054.468 km

And we know that 1 km = 1000m

Then the circumference of the earth is:

C = (40,054.468*1000) m = 40,054,468 m

Now we need to see how many times the light can encircle the earth per second. (we assume that the light can move in a circular path, this is not really accurate to the reality)

We know that in one second the light can cover a distance of:  299,792,458 m

And the circumference of the earth is: 40,054,468 m

The quotient between these two distances is the number of times that the light can encircle the earth:

N = (299,792,458 m)/(40,054,468 m)  = 7.5

So light could encircle the earth 7.5 times per second.

A circular table top has a radius of 24 inches.

What is the area of the table top, to the nearest square inch? Use 3.14 for Pi.

75 in.2
151 in.2
1809 in.2
7235 in.2

Answers

Answer:

1809 in.2.

Step-by-step explanation:

So we know that the formula of a circle's area is r^2 * pi.

In this case, the radius is 24 inches. 24^2 = 576. They tell us to use 3.14 for pi.

576 * 3.14 = 1808.64.

The area is 1808.64, which rounds up to 1809 in.2.

Hope this helps!

Answer:

c

Step-by-step explanation:

1809 in.2.

Alex baked a cake for his birthday. At the party his guests ate ⅔ of the cake. The next day, he ate ½ of the rest of the cake. How much of the original cake did Alex eat?

Answers

1-2/3 =1/3
He ate 1/2 of 1/3
He ate 1/2 x1/3 =1/6
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