Evaluate the expression for the given value(s) of the variable(s). m/6 ;m = 18​

Answer:

vertex = (5, - 1 )

Step-by-step explanation:

The focus and directrix are equidistant from the vertex

Since the equation of directrix is y = - 3 then the parabola is vertical,

The distance between the focus and directrix is

| 1 - (- 3) | = | 4 | = 2

Thus the vertex is 2 units below the focus

vertex = (5, 1 - 2 ) = (5, - 1 )

A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).

A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.

As per the given information in the question,

The focus and directrix are equidistant from the vertex then,

The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:

|1 - (-3)| = |4| = 2

The vertex is therefore 2 units below the focus.

vertex = (5, 1 - 2) = (5, -1)

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Answer:

The GCF is 2

Step-by-step explanation:

Here, we want to find the greatest common factors of the two terms

We have the terms written in terms of the products of their multiples as follows;

4c^3 = 2 * 2 * c * c* c

6m^2 = 2 * 3 * m * m

As we can see, the greatest common factor of the two is simple the value 2

Answer: D

Step-by-step explanation:

Answer:

I think D

Step-by-step explanation:

I am not sure sorry

Answer:

13 x 50 = 650

Step-by-step explanation:

Answer:

75 ft

Step-by-step explanation:

Answer:

14 m is more

Step-by-step explanation:

14 meters = 1400 cm

14 x 100=1400

Answer:

14 m is more

Step-by-step explanation:

1 m = 100 cm

14 m

= 14 x 100

= 1400 cm

1400 cm > 140 cm

14 m > 140 cm

Answer:

The height is 45 m

Step-by-step explanation:

The volume of a triangular prism is V = (1/3)(area of base)(height)

If the voume is 240 m^3 and the area of the base 16 m^2, then the height of the prism is determined as follows:

3V = (area of base)(height)

Dividing both sides by (area of the base), we get:

                   3(240m^3)

height = ------------------------- = 45 m

                       16 m^2

Answer:

B

Step-by-step explanation: let me know if this is wrong

Answer:

its b

Step-by-step explanation:

well the person above me is correct he should get brainlies

Step-by-step explanation:

1.Read the Entire Word Problem.

2.Think About the Word Problem.

3.Write on the Word Problem.

4.Draw a Simple Picture and Label It.

5.Estimate the Answer Before Solving.

6.Check Your Work When Done.

7.Practice Word Problems Often.

Answer: You can save 15% or more on car insurance when you switch to Geico

Step-by-step explanation:

The difference in sale prices between the two stores is $4.5.

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Given that, a $30 sweater is on sale for 20% off at Kohls.

Here, sales price = 30-20% of 30

= 30-20/100 ×30

= 30- 0.2×30

= 30-6

= $24

The same $30 sweater is on sale at Macy's for $5 off the price.

Here, sales price = 30-5% of 30

= 30-5/100 ×30

= 30- 0.05×30

= 30-1.5

= $28.5

So, difference in price = 28.5-24

= $4.5

Therefore, the difference in sale prices between the two stores is $4.5.

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Answer:

5√3 ft

Step-by-step explanation:

If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:

a²+b²=c²

(5)²+b²=(10)²

25+b²=100

b²=75

b=√75

b=5√3

So the ladder will reach a height of 5√3 ft.

Answer:

2.2 $

Step-by-step explanation:

profit= 1.35 $

cost= 0.85 $

Price= profit+cost

P=1.35+0.85

P=2.2 $

Answer:

solution given:

: 4x2+8x+7=4

4x²+8x+7-4=0

4x³+8x+3=0

4x²+6x+2x+3=0

2x(2x+3)+1(2x+3)=0

(2x+3)(2x+1)=0

either

x=-3/2

or

x=-1/2

Answer:

maybe the amount of money by each student

Step-by-step explanation:

Given

Circumference of circle = 48.042 yards

diameter (d) = ?

we know

Circumference = πd

or, 48.042 = 3.14 * d

or, d = 48.042 / 3.14

Therefore d = 15.3 yards

The circle's diameter is 15.3 yards.

Hope it will help :)❤

Answer:

1 and 10

Step-by-step explanation:

Answer:

1 and 10

Step-by-step explanation:

1×10=10

1+10=11

Answer:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical.

Step-by-step explanation:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

Answer:

5 shirts and 4 pairs of shorts

Step-by-step explanation:

160-1 set (12+25=37)=123

123-1 set=86

86-37=49

49-37=12

12-1 t-shirt=0

Answer: I think 8?

Step-by-step explanation:

You might be adding the 6 so therefore maybe you do 6+2= 8 if the median was eqaul to 6.

If this isnt right, I'm sorry!

Answer: 1

The set is:

6 1 5 4 8 7 2 1 2 2

First: We get the median of the original set. To do this we change it from highest to lowest.

1 1 2 2 2 4 5 6 7 8

Then we take the middle number of this set which is the median

2 and 4 are the middle so the median is 3

The median of set 1 is 3

Second: We get the median of the set but with another 6 added

1 1 2 2 2 4 5 6 6 7 8

Take the middle number of this set which is the median

4

The median of set 2 is 4

From this we know the median increases by 1 if the number 6 is added!

Answer:

Hewo!!!

The answer is 9.1 or if you don't want a decimal then, 9.

Step-by-step explanation:

10%          ?

___        ___

100          91

First:

you make them into fractions (hint: 100 is ALWAYS the denominator of your percent)

Second:

You multiply 10 and 91 which gives you 910

Third:

910

___

100

You put the fractions like this and cross out the two zeros to get this:

91

__

10

Lastly you divide 91 and 10 which gives you 9.1 and if you don'y want a decimal then round it to the nearest whole number which gives you 9.

Hope this helps!! =3

Answer:

D) 59.66 m

Step-by-step explanation:

circumference = 19π = 59.66 m

Answer:

c. it is 185 cm squared all you do is add the sides and time them

Answer:

y>7

Step-by-step explanation:

3y-15>6

Add 15 to both sides

3y-15+15>6+15

Simplify;

3y>21

Divide both sides by 3

3y/3>21/3

Simplify;

y>7

Answered by NONE other than then ONE and ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

Answer:

31.2

Step-by-step explanation:

Divide 4/15= 2.66

12x2.6= 31.2

This might be wrong..

Answer:

18.86 m

Step-by-step explanation:

From the given question, both covers the same distance of the straight line segment.

For the inner lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                   = 30 x [tex]\frac{22}{7}[/tex]

                                   = 94.2857

So that,

the total length for the two halves of the inner lane = 2 x 94.2857

                                                                  = 188.5714 m

For the outer lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                                 = 33 x [tex]\frac{22}{7}[/tex]

                                                 = 103.7143

The total length for the two halves of the outer lane = 2 x 103.7143

                                                                  = 207.4286 m

The difference between the two = 207.4286 - 188.5714

                                                       = 18.8572 m

Therefore, Devin would run 18.86 m more to complete one lap.

Answer:

0.4, 0.8, 1.2 ,1.6 ,2.0

Step-by-step explanation:

First we have to find what the question is really asking and get rid of unwanted or not needed information. It is asking to write a numeric sequence for the first 5 minutes of the 30 minutes.

Second we need to find the pattern. So lets divide $12 by 30. That will equal 0.4 a minute.

Last we add 0.4 for each minute. 0.4 is the first, then 0.8 is 2 minutes, then 1.2 and etc.

The numeric sequence is 0.4, 0.8, 1.2 ,1.6 ,2.0

Here we have to divide $12 by 30. That will equal 0.4 a minute.

Now if we add 0.4 for each minutes

So the series be like

0.4 for the first, 0.8 is 2 minute and so on.

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Answer:

1. 37°

2. 54°

3. 84°

Step-by-step explanation:

1. 180-(66+77)=37°

2. 180-(90+36)=54°

3. 360- (144+84+48)