Complete each short proof by providing the reason.

Answer:

Step-by-step explanation:

y = 1 is a horizontal line

Vertex is halfway between the directrix and focus on a vertical line through x = (-5, 3).

(1 + 3)/2 = (-5, 2)

The shortest distance from the directrix to the focus is 3 - 1 = 2 units

so points (-5 - 2, 3) = (-7, 3) and  (-5 + 2, 3) = (-3, 3) are on the parabola.

The vertex form of a parabola is

y = a(x - h)² + k

y = a(x - (-5))² + 2

y = a(x + 5)² + 2

plugging in one of the other known points

3 = a(-7 + 5)² + 2      or      3 = a(-3 + 5)² + 2  

1 = a(-2)²                             1 = a(2)²

a = 1/4                                 a = 1/4

y = ¼(x + 5)² + 2

to find the standard form, expand the vertex form

y = ¼(x² + 10x + 25) + 2

y = 0.25x² + 2.5x + 6.25 + 2

y = 0.25x² + 2.5x + 8.25

or

4y = x² + 10x + 33

Answer:

D.) $40.50

Step-by-step explanation:

If he is having 72 guests over, then he'll need nine tables.

(72 guests divided by eight guests, [each table] equals the need for nine tables)

If each table is $4.50 and he needs nine tables then we shall multiply nine by 4.50

9 x 4.50 = 40.50

$40.50

Hope this helped! Please mark brainliest!

it is 24x² - 90x + 84

Step-by-step explanation:

it cuz I'm smart lolz

Answer:

6(x-2) x (4x-7)

Step-by-step explanation:

the pictures attached have the working there

Answer:

D. y = | x – 16.5 |

Step-by-step explanation:

If you want to write an equation for an absolute value function this is the parent function y=a|x-h|+k.

In order to write an equation that is 16.5 units right you would do this:

y=|x-16.5|

If you are moving units left the number -16.5 would become 16.5

Remember when you are moving that the number inside is always the opposite sign of where you are moving  

Here is the answer:

y=|x-16.5|

Hope This Helps!

...............................................................................................................................................

Just subtract 16.5 to the x , in parenthesis, to the existing equation.

For example,

if u r given y= x +3 --> y=(x-16.5)+3

Answer:

x=0 and x=2

Step-by-step explanation:

[tex]\frac{x}{5} = \frac{x^{2}}{4x+2}[/tex]

4x+2 can't equal 0, is 4x+2=0, then x=-1/2, none of the answers are -1/2 so none are extraneous

x=0 is a solution, but x=-2 isn't, x=2 works (i checked this by plugging the solutions into the equation

Answer:

(C) x = 0 and x = 2

Answer:

Step-by-step explanation:

1. Match the letters a, b, and c with their statement.

a = "We go to school on Memorial Day"

b = "Memorial Day is a holiday"

c = "We work on Memorial Day"

2. Underline the key words ( that have symbols)

We work on Memorial Day if and only if we go to school on Memorial Day.

We work on Memorial Day or Memorial Day is a holiday.

If we do not go to school on Memorial Day, then we work on Memorial Day.

Memorial Day is a holiday and we do not go to school on Memorial Day.

If we go to school on Memorial Day, then we work on Memorial Day.

3. Use the symbols and the letters.

We work on Memorial Day if and only if we go to school on Memorial Day.

                         c                           ⇔                             a

We work on Memorial Day or Memorial Day is a holiday.

                   c                         V                   b

If we do not go to school on Memorial Day, then we work on Memorial Day.

                            ~a                                           ⇒               c

Memorial Day is a holiday and we do not go to school on Memorial Day.

                       b                     ∧                        ~a

If we go to school on Memorial Day, then we work on Memorial Day.

                             a                                ⇒              c

Answer:

12

Step-by-step explanation:

25 is 1/4 of 100, so you do 3 x 4 and you would get 12! Hope this helps!

Answer:

12 players

Step-by-step explanation:

Multiply the 3 players that are sick by 4, as 25*4 is 100.

The amount of Moon we see changes over the month — lunar phases — because the Moon orbits Earth and Earth orbits the Sun. Everything is moving. During a lunar eclipse, Earth comes between the Sun and the Moon, blocking the sunlight falling on the Moon.

Answer:

Both 'The Moon is illuminated on one side by the Sun' and 'The Moon's position relative to Earth results in phases.'

Step-by-step explanation:
The Moon has phases because of its position relative to Earth, and also because it is only illuminated on one side by the Sun. As it rotates, some parts of the moon reflects the Sun's light, so it looks as if it's changing shape. The other parts that are blacked out is because it is not reflecting the Sun's light, not because of the Earth.

Answer:

-3/7

Step-by-step explanation:

Ty for points

Answer:

Put the number being divided over the dividend as a fraction.

Step-by-step explanation:

Answer:

Here are a few useful simplified division tips: If the dividend and divisor are both even numbers, try dividing them first by 2. For example, if you've got to divide 196/22, divide them by 2 first. When you have 98/11, you'll find it easier to figure out the rest of it with the smaller numbers.

Step-by-step explanation:

More Divide by Number Tricks

Divide by 1 - Anytime you divide by 1, the answer is the same as the dividend.

Divide by 2 - If the last digit in the number is even, then the entire number is divisible by 2.

Divide by 4 - If the last two digits divide by 4, then the entire number is divisible by 4.

Using the normal distribution and the central limit theorem, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability is the p-value of Z when X = 122, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{122 - 140}{3}[/tex]

[tex]Z = -6[/tex]

[tex]Z = -6[/tex] has a p-value of 0.

Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

A similar problem is given at https://brainly.com/question/24663213

if any doubt leave a comment

Answer:

1,748x7=12,236

Step-by-step explanation:

i think this is right...

Answer as an improper fraction = 10/3 inches

Answer as a mixed number = 3 & 1/3  inches

=============================================================

Explanation:

Multiply the two given values to get (2/3)*5 = (2/3)*(5/1) = 10/3

Optionally, you can convert that to a mixed number

10/3 = (9+1)/3 = (9/3) + (1/3) = 9 + (1/3) = 3 & 1/3

Answer:

it’s still 42 centimeters :3

Step-by-step explanation:

this is kind of a trick question. These are transformations that don’t change the shape‘s size such as rotations and translations. Dialations change the shapes size but because in this problem it’s on reflections and translations, you can easily say that the perimeter is still 42 centimeters.

hope this helped :3

:3 byeeeeeeeeeeee

Answer:

Slope: -1

Step-by-step explanation:

As the x values progress by one, the y values decrease by 1

slope = rise/run

rise = -1, run = 1

-1/1 = -1

Answer:

Step-by-step explanation:

Answer:

33 years old

Step-by-step explanation:

x = youngest sibling

y = oldest sibling

x + (x + 3) + (x + 3 + 3) = 90

3x + 9 = 90

3x = 81

x = 27

y = 27 + 3 + 3 = 33

Answer:

3/5

Step-by-step explanation:

1/2 ÷ 5/6 = 1/2 × 6/5 = 6/10 = 3/5

Answer:

18 divided by 2/9, or 18/(2/9) (Is this what the first option was meant to say?)

Step-by-step explanation:

18 inches is the amount of space that needs to be filled, or divided up into sections to see how many things can fit.

2/9 is the width of the thing that you need to see how many fit, meaning it's the thing you're dividing by.

Combined, this means your expression is 18 divided by 2/9, or 18/(2/9). I think this is what your first option was meant to say, because if it is what it says, then the first and second option would be the exact same wrong thing.

You DON'T multiply, because if you think about easy numbers, an inch thick book should have 18 fit, and a half-inch thick book should have double that fit. As you get a smaller book, the number that fit increase, which can't happen with multiplication.

You also don't start with 2/9 because that's the width of the book. You're not trying to see how many boxes can fit into each book; that'd be ridiculous.

Answer:

It's A.

Step-by-step explanation:

Answer: Estimate the length of each line segment in inches. Then  

measure it to the nearest —

1

2

— inch.

2.

Estimate: Actual:  

Estimate the length of each line segment. Then  

measure it to the nearest —

1

4

— inch.

3.

Estimate: Actual:  

4.

Estimate: Actual:  

Draw a line segment that has the given length.

5. 4 inches

6. 3—1

4

— inches

7. 4—

1

2

— inches

8. —3

4

— inch

9. Marta wants to make 4 necklaces that are the same  

length. She asks her friends to cut the string for the  

necklaces 15 paper clips long. Would all the  

lengths be the same? Explain your thinking.  

Answers will  

vary.

Answers will  

vary.

Answers will  

vary.

3 inches

2—

1

2

— inche

Step-by-step explanation:

Answer:

0.036 or 3.6%

Step-by-step explanation:

First you must set up the equation:

(|14.5 - 14|) / 14

0.5 / 14

0.036 x 100%

3.6%

Another Problem For Help With More Explanation:

Mathew goes to the store and gets 10 bananas, which he expects to be 4.1 pounds, however it turned out the actual weight was 3.9 pounds. What was the percent error of the measurement, to the neartest tenth of a percent?

So first you must take the 2 values you need out, which would be 4.1 pounds (the expected value) and 3.9 pounds (the actual value).

You then must set up the equation which is (|X-Y|)/Y.

X is the actual value, which would be 3.9 pounds and Y is the expected value, which would be 4.1.

You then plugin the numbers so you get (|3.9-4.1|) / 4.1.

Then follow PEMDAS, which would be the parantheses, so it would be |-0.2| / 4.1.

The absolute value of -0.2 is 0.2, since the absolute value makes it positive, no matter if it was already negative or positive.

You are then left with 0.2 / 4.1, which you then do the math for, with it equaling 0.048780.

You then do 0.048780 x 100%, to get the percent, which would be 4.8780%, however you would just need to round to the tenth of a percent, so it would be 4.9%. Hope this extra problem helps you understand the topic more! :}

Answer:

Step-by-step explanation:

Refer to attached

Find the y-intercept:

Find the x-intercepts:

We have vertices of the triangle at:

Base of the triangle is:

Height of triangle:

The area is:

Answer:

7.5 unite square

Step-by-step explanation:

someone already explained so i will just tell you the steps. I deeply apologize for the inconvieence, grammer mistakes, and lack of showing work.

step 1.

find the x- and y intercepts

step 2.

find the vertexes

step 3.

pug the points onto the cordiante plane

s

Answer:

x = 19

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 degrees

3x + 7 + 5x + x + 2 = 180 add like terms

9x + 9 = 180 subtract 9 from both sides

9x = 171 divide both sides by 9

x = 19 replace x with 19 in expressions to find the angle measures

There are 2 blue marbles.

Hope that helped:)

Answer:

Median - 4.5 , i think

Step-by-step explanation:

Answer:

The monthly amount of water used per household in a small community is normally distributed with mean 7,069 gallons and standard deviation 58 gallons. Find the three quartiles for the amount of water used.

Answer:

Her homework has 99 problems

Step-by-step explanation:

27÷3=9

9=1/11

11×9=99

now, if we take into account that a WHOLE is always one, and we can partition it in many ways, say 295/295 = 1, or 313/313 = 1, so the whole amount of homework is 1 fraction wise, thus

[tex]\begin{array}{ccll}amount&fraction\\\cline{1-2}27&\frac{3}{11}\\x&1\end{array}\implies \cfrac{27}{x}=\cfrac{\frac{3}{11}}{~~1~~}\implies \cfrac{27}{x}=\cfrac{3}{11}\implies 27\cdot 11=x\cdot 3\\\\\\297=3x\implies \cfrac{297}{3}=x\implies \boxed{99=x}[/tex]

Answer:

Step-by-step explanation:

1/2(13-5)+(4+8)^2

A. 148

B. 144

C. 20

D. 16

We must follow "PEMDAS" order of operations rules.  Anything inside parentheses must be done first, followed by exponentiation, multiplication and division, and finally additionl and subtraction.

1/2(13-5)+(4+8)^2 has three sets of parentheses enclosing mathematical expressions:  (1/2), (13 - 5) and (4 + 8).  These evaluate to:

                        1/2,       8,               12

and so we now have (1/2)(8) + (12)^2

Exponentiation is next.  We get:  (1/2)(8) + 144

Next is multiplication:                         4      + 144

Last is addition:                                       148

Answer A is correct:  148

8 x 9+4^2-(63/7)

is evaluated in the same way:

8 x 9+4^2-(9), followed by exponentiation:

8*9 + 16 - 9, followed by multiplication:

72 + 16 - 9 = 79 (Answer C)

Answer:

165 miles in 3 hours

Step-by-step explanation:

1 hour = 55 milles

3hours=?

(3*55)/1

= 165 miles

Hence, correct.