The directrix of the parabola -40x= y2 is:
y=-10
x= 10
x=-10
y= 10

Answers

Answer 1

Answer:

y=10

Step-by-step explanation:

Answer 2

Answer:

[tex]{ \tt{y {}^{2} = 4 {ax} }} \\ = - 10[/tex]


Related Questions

Beth filled 72 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did beth use?

Answers

Answer:

9 gallons were used

Step-by-step explanation:

There are 8 pints to 1 gallon

72 jars holding 1 pint each means 72 pints total

72/8=9

Beth used 9 gallons

P.S. Can I get brainlist

Since there are 8 pints in a gallon, we would divide 72 by 8 because each jar represents one pint. After dividing we would get 9! Beth used 9 gallons

What is the estimated monthly expenses for a veterinarian?

Answers

Answer:

Roughly $50-$400

Step-by-step explanation:

Some expenses include:

- Vitamins

- Medication for fleas/heartworms

- Spaying/neutering

Because the variable m does not appear in Ax + By = C, equations in this form make it impossible to determine the line's slope m. If the statement does not make sense, then how can you find m and what would it be? Show your work.

Answers

Answer:

Step-by-step explanation:

The statetement does not make sense because we can rewrite the equation of the line in the slope intercept form

1) add -Ax at both members

Ax + By - Ax = -Ax + C

By = -Ax + C

2) divide both members by B (assuming that its value is not 0)

y = (-A/B) x  + C/B

the slope of the line is the therm that multiply x, so

m = -A/B

.. The solution of which quadratic Inequality is shown on the number line?
O (3+6) (3 – 4) <0
O (2-6) (2 - 4) > 0
O (30 – 6)(+4) <0.
O (30 – 6) (x – 4) <0

Answers

Answer:  Choice C

Explanation:

If you graphed (x-6)(x+4) on the xy plane, then you'll see a parabola forming. This parabola has roots at x = -4 and x = 6. Between these roots, the curve is below the x axis. This visually shows that (x-6)(x+4) is negative when -4 < x < 6.

Furthermore, we can say that (x-6)(x+4) is negative or zero when [tex]-4 \le x \le 6[/tex] which corresponds directly to the number line graph your teacher gave you. The endpoints being closed circles mean "include this as part of the shaded solution set".

What is the surface area, in cm2, of the figure?

Answers

Answer:

292 cm²

Step-by-step explanation:

the area = 2×(8×6 +8×7 + 6×7)

= 2×(48+56+42)

= 2×146

= 292

f the measure of angle BCD is 67.4°, the measure of angle ABC is °. If the length of base AB is 80 feet, the length of DC is feet.

Answers

Answer:

[tex]\angle ABC = 112.6^o[/tex]

[tex]DE =105[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

[tex]\angle ABC[/tex] and side length DC

 Calculating [tex]\angle ABC[/tex]

First, calculate [tex]\angle EBC[/tex]

[tex]\angle EBC + \angle BCE + 90 = 180[/tex] --- angles in a triang;e

[tex]\angle BCE =\angle BCD = 67.4[/tex]

So:

[tex]\angle EBC + 67.4+ 90 = 180[/tex]

[tex]\angle EBC + 157.4 = 180[/tex]

Collect like terms

[tex]\angle EBC = 180-157.4[/tex]

[tex]\angle EBC = 22.6[/tex]

So:

[tex]\angle ABC = \angle EBC +90[/tex]

[tex]\angle ABC = 22.6 +90[/tex]

[tex]\angle ABC = 112.6^o[/tex]

Calculating DC

First, calculate EC using Pythagoras theorem.

[tex]BC^2 = BE^2 + EC^2[/tex]

[tex]65^2 = 60^2 + EC^2[/tex]

[tex]4225 = 3600 + EC^2[/tex]

Collect like terms

[tex]EC^2 =4225 - 3600[/tex]

[tex]EC^2 =625[/tex]

Take square roots

[tex]EC = 25[/tex]

Length DC is:

[tex]DC = DE + EC[/tex]

Where

[tex]DE = AB =80[/tex]

So:

[tex]DE =80+25[/tex]

[tex]DE =105[/tex]

Answer:

ABC= 112.6

DC= 105

Step-by-step explanation:

got it right on edge!

WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!

Find the geometric series of a geometric sequence where a= 294 and common ratio of
seven for a6, through a10.

Answers

ANSWER =6(7)^(N-1)

A0 = 6
A1 =6(7)^0
A2= 6(7)^1
A3 = 6(7)^2 = 294
A4 = 6(7)^3= 2058
A5 = 6(7)^4
A6 = 6(7)^5 = 100,842 = about 100K=10% of a million
....
A7 = 6(7)^5 = 242,121,642 = about a quarter mill

what is the exponential form for 7^√x^3

Answers

(√7)3=732

Explanation:

To write

(√7)3

in exponential form, one needs two identities - n√a=a1n

and (am)n=a(m×n)

which is true for all rational

m and n.

Hence,

(√7)3= (712)3

= 7(12×3)

= 732

The summation symbol, is the Greek capital symbol and it is used like the English S. Why do you think it was chosen to represent a Sigma Notation?

Answers

Answer:

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of as a sigma Notation.

Step-by-step explanation:

The summation symbol is the upper case equivalent of capital S in Greek and S represents sum in English.

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of as a sigma Notation.

Answer:

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.

 

The summation symbol ∑ is the upper case equivalent of capital S in Greek and S represents sum in English.

During the early days of mathematical expressions the Greeks needed a shorthand form of representing the summation of several terms hence the choice of ∑ as a sigma Notation.

Step-by-step explanation:

its correct on EDGE2021

3. The total cost of 3 Nintendo Switch games is $89.97. If
each game costs the same amount, write an equation that
can be used to determine g, the cost of 1 game.

Answers

Answer:

3x=89.97

 x=89.97/3

 x=29.99 -- price of one

Step-by-step explanation:

Can someone help with this problem! Please don't scam

Answers

Answer:

KQ = 11.5 units

Step-by-step explanation:

In triangle ABC,

K is the point of intersection of medians AP and BQ.

Therefore, point K will be the centroid of the triangle.

Property of the centroid of a triangle,

" Centroid of a triangle divides the median in the ratio of 2 : 1"

Ratio of BK and KQ = 2 : 1

[tex]\frac{BK}{KQ}=\frac{2}{1}[/tex]

[tex]\frac{23}{KQ}= \frac{2}{1}[/tex]

[tex]KQ = \frac{23}{2}[/tex]

KQ = 11.5

Therefore, length of segment KQ = 11.5 units

Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?

Answers

Answer:

2.35%

Step-by-step explanation:

Firstly, we calculate the z-score of each

we have this as;

z-score = (x - mean)/SD

from the question, mean is $1,500 while standard deviation is $250

So for each;

z-score = (750-1500)/250 = -750/250 = -3

z-score = (1000-1500)/250 = -500/250 = -2

Simply put, we want to calculate the percentage of prices between three standard deviations below the mean and two standard deviations below the mean

We can calculate this by using the empirical rule chart;

By looking up the this, the percentage of values between 3 SD below the mean and 2 SD below the mean is 2.35%

Question and choices are in the photo please explain the answer

Answers

Answer:

D.

Step-by-step explanation:

See attached photo.

If you receive 25% off an item costing $220, how much
money do you save?

Answers

Answer:

You save $55

Step-by-step explanation:

To find out what the 75% of the 220 is, you need to do .75 times 220 and then after you get the answer, subtract that number from 220 and you have your answer.

Given the functions f(x) = 2x + 1 and g(x) = 5x +4, find m(x) = f(x) - g(x)?

А. m(x) = 3x + 3

B. m(x) = -3x + 5

C. m(x) = -3x - 3

D. m(x) = 7x + 5​

Answers

Answer:

m(x) =-3x -3

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 5x +4

f(x) -g(x) =  2x + 1 -( 5x +4)

Distribute the minus sign

f(x) -g(x) =  2x + 1 -5x -4

Combine like terms

            = 2x-5x   +1 -4

             = -3x -3

Raju's father is 26 years younger than raju's grandfather and 29 years older than raju. The sum of the ages of all the three is 135 years. Also raju's grandmother is 4 times raju's age and his sister is 7 times younger than him

Answers

Answer:

Raju = 17 years

Raju's father age = 46 years

Raju's grandfather age = 72 years

Raju's grandmother = 68 years

His sister = 10 years old

Step-by-step explanation:

Raju’s father is 26 years younger than Raju’s grandfather and 29 years older than Raju. The sum of the ages of all the three is 135 years. Also, Raju's Grandmother is four times of Raju’s age and his sister is 7 years younger than him.

Let

Raju's age = x

Raju's father age = x + 29

Raju's grandfather age = (x + 29) + 26

Total ages = 135

(x) + (x + 29) + (x + 29) + 26 = 135

x + x + 29 + x + 29 + 26 = 135

3x + 84 = 135

3x = 135 - 84

3x = 51

x = 51 /3

x = 17

Raju's age = x = 17 years

Raju's grandmother = 4 times raju's age

= 4 × 17 years

= 68 years

his sister = 7 years younger than him.

= 17 - 7

= 10 years old

Raju's father age = x + 29

= 17 + 29

= 46 years

Raju's grandfather age = (x + 29) + 26

= 46 + 26

= 72 years

It typically takes Mr. Dunn 20 minutes to get to school, but it took him 40% longer today. How long did it take Mr. Dunn to get to school today?

EXPLAIN THE ANSWER

Answers

Answer:

28 minutes

Step-by-step explanation:

40 percent is 0.4 and 100 percent is 1. Since you have the full 100% of 20 plus the increase of 40% you have to multiply by 20 by 1.4

1.4*20 = 28

3(x+4)>12
can yall help me fr

Answers

Answer:

x>0

Step-by-step explanation:

Answer:

x > 0

Step-by-step explanation:

3(x + 4) > 12

Divide both sides by 3

x + 4 > 4

Subtract 4 from both sides

x > 0

HELP ME I'LL MARK BRAINLIESTS AND PLUS 65 PTS!!!

Answers

Answer:

114

Step-by-step explanation:

Apply triangle outer angle theorem.

24+90=114.

Angle 1 equal 114

2(5x + 3) + 2 = 10x + 6
A-one solution
B-infinitely many solutions
c-no solution

Answers

Answer:

C

Step-by-step explanation:

Given

2(5x + 3) + 2 = 10x + 6 ← distribute and simplify left side

10x + 6 + 2 = 10x + 6

10x + 8 = 10x + 6 ( subtract 6 from both sides )

10x + 2 = 10x ( subtract 10x from both sides )

2 = 0 ← not possible

This indicates the equation has no solution

Answer:

no solutions

Step-by-step explanation:

2(5x + 3) + 2 = 10x + 6

* solve for x *

step 1 distribute the 2 to 5x and 3

2 * 5x = 10x

2*3=6

we now have 10x + 6 + 2 = 10x + 6

step 2 combine like terms

6 + 2 = 8

we now have 10x + 8 = 10x + 6

step 3 subtract 10x from each side

10x-10x=0

10x-10x=0

we're left with 8 = 6

8 is not equal to 6 meaning that there are no solutions to the equation

A farmer takes note of how many eggs he collects each day for 20 days and creates a boxplot from his data
(below). How many of the days did he collect MORE than 3 eggs?

Answers

Answer:

C.

Step-by-step explanation:

Each part of the boxplot is 25%.

At 3, Q1 starts.

Q1 + mean + Q3 = 75%

0.75 * 20 = 15 days

Sebastian bought x gallons of gas at a price of $2.91 per gallon at his local gas station. When he paid for the gas, Sebastian also paid $11.40 for granola
bars and a box of tissues.
If Sebastian filled 10 gallons of gas, how much did he spend in all at the gas station?

Answers

Answer:

Sebastian spent $40.40 at the gas station.

Step-by-step explanation:

First let's find how much the gas cost.

So it's $2.91 a gallon, and Sebastian fills 10 gallons of gas, so we multiply.

10 * 2.91 = $29.10

Then we add on the $11.40 from the granola bars and the box of tissues.

$29.10 + $11.40 = $40.50

So the final price should be $40.40. Sebastian spent $40.40 at the gas station.

A ladder of length 8m rests against a wall so that the angle bsetween the ladder and wall is 45 degree .How far is the base of the ladder from the wall?

Answers

Answer: 8√2

Explanation: Use the 45-45-90 theorem to solve.

45 45 90
s s s√2
8√2 8√2 8

Which polynomial represents the sum below? (16x^2-16) + (-12x^2-12x+12)

Answers

Step-by-step explanation:

the answer is in the above image

Answer please fast
Do it now please, come on do it come on

Answers

Answer:

C 42yd

Step-by-step explanation:

30. One of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. The height of the ball is modeled by the equation h(t) = -16t2 + 39t. What is the real world or practical domain of this function?

Answers

This model will be by 16/8 I will do 8/8

Which is the graph of g(x) = 2x – 1 + 3?


Answers

Answer:

Your question is not very clear, hope I get what you want

Step-by-step explanation:

2x-1+3

=2x+2

=2(x+1)

Answer:The graph in the attached figureStep-by-step explanation:we have[tex]g(x)=2^{x-1}+3[/ tex

Robert says that he can draw an obtuse equilateral triangle. Jonas says that is not possible. Who is correct and why?

A.
Robert is correct as long as the other two angles are acute and all of the sides are the same length.

B.
Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same length.

C.
Robert is correct because all equilateral triangles have 1 obtuse angle and all sides the same length.

D.
Jonas is correct because equilateral triangles have one right angle and two sides the same length.

Answers

Answer:

The correct answer is B. Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same lenght

Five tickets are selected at random, and those five people win a gift card. If 231 tickets were purchased for the fundraiser, how many different groups of winners can there be?

Answers

Answer:

46.2

Step-by-step explanation:

If you divide 231 by 5 then you get that answer.

Find the difference between one million and two hundred fifty thousand.
Express the difference in words in International and Nepali Systems.

Answers

Answer:

Step-by-step explanation:

[tex]One \ million = 1, 000, 000\\\\Two \ hundred \ and \ fifty \ thousand = 250, 000[/tex]

Difference between one million and two hundred and fifty thousand

[tex]1,000,000[/tex]  [tex]- \ 250,000[/tex] [tex]= 750000[/tex]

International  Number System,750,000: Seven Hundred  and Fifty Thousand

Nepalis Number System,7, 50,000 : Seven Lakh Fifty Thousand

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