Find the equation of the line that is perpendicular to y=3y-x=7 and contains the point (2,-1).

Answer: D. 3x – y = 4

Step-by-step explanation: Standard form of a linear equation is of the form

ax+by =c.

We are given two points on the graph (2,2) and (0,-4).

Slope of the line: m =[tex]\frac{y_2-y_1}{x_2-x_1} =\frac{-4-2}{0-2} = \frac{-6}{-2} =3[/tex].

Applying point-slope form

y-y1 = m(x-x1)

y-2 = 3(x-2)

y-2 = 3x -6

Adding 2 on both sides, we get

y-2+2 = 3x -6+2

y = 3x - 4

Subtracting 3x from both sides, we get

y -3x = 3x-3x - 4

-3x + y= -4.

Multiplying whole equation by -1, we get

Answer:

Step-by-step explanation:

Answer:

The answer is 56.. hope I helped thanks and bye.

Jackie spent $39.15 on the dress.

-52, -37, 0, 23, 67

Any numbers would work as long as their in correct order, and 0 is the middle number. Remeber that with negatives, ordering is different!

Hi CaCahead23,

Question:

You have 2/4 of a pizza and you want to share it equally between 2 people. How much of the pizza does each person get?

Solution:

2/4 / 2 = 1/4

Answer:

Each person gets 1/4 of a pizza.

its kinda upside down

4.

In both cases divide the number of laps by the number of minutes to find the unit rate in laps per minute.

30 laps in 12 minutes: (30 laps)/(12 minutes) = 2.5 laps/minute

120 laps in 48 minutes: (120 laps)/(48 minutes) = 2.5 laps per minute

The rates are equivalent.

6.

I can't see the dimensions of the picture.

Do this:

Do these two divisions.

Divide the width by the length of the poster and of the picture.

Poster: (60 inches)/(100 inches) = 0.6

Picture: (width of picture)/(length of picture) = ?

If the second division also equals 0.6, then the ratios are equivalent.

The product is 3 because -3/4 * -4 is 3

midpoint = (2, 4 )

using the midpoint formula

midpoint = [ [tex]\frac{1}{2}[/tex] (1 + 3 ), [tex]\frac{1}{2}[/tex] (2 + 6 )] = (2, 4)

The midpoint of the line segment with given endpoints A(1,2) and B(3,6) can be found using the formula for a midpoint, which is ((x1+x2)/2, (y1+y2)/2). Substituting the coordinates of points A and B into this formula gives us the midpoint coordinates as (2,4). So the midpoint is (2,4).

The question is asking for the midpoint of the line segment with given endpoints A(1,2) and B(3,6). We can calculate this using the formula for the midpoint of a segment, which is ((x1+x2)/2, (y1+y2)/2). In this case:

Substituting these values into the formula gives us the midpoint = ((1+3)/2, (2+6)/2) = (2,4). Therefore, the coordinates of the midpoint of the segment with the given endpoints A(1,2) and B(3,6) are (2, 4).

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Ask if the numerator and denominator can be divided by the same number, which is called a common factor.

See if at least one number in the fraction is a prime number.

Simply just find the least common factor between the numerator and the denominator of the fraction, For example, 2/4, you know that between the two numbers, they both share the same common factor,  2, so divide 2 on the top and the bottom, and then your final  answer would be 1/2. However, if there seems to be no common factor between the numerator and the denominator for a fraction, do not simplify it any more. You cannot have a decimal as a numerator or a denominator. For example,  3/5 has no common factor so you do not have to simplify it as it is already at its most simplest form.

Hope you found this helpful:)

The answer is actually x ≥ -3/4

Y= vertical & x= horizontal

y=vertical and x=horizontal

Hope this helps ^_^

Let

x-------> the time

y-------> the altitude of a helicopter

Step 1

Find the slope of the line

we know that

the slope m of the line between two points is equal to

[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]

we have

[tex](x1,y1)=(0,10,000)\\(x2,y2)=(15,4,000)[/tex]

substitute in the formula

[tex]m=\frac{(4,000-10,000)}{(15-0)}[/tex]

[tex]m=\frac{(-6,000)}{(15)}[/tex]

[tex]m=-400\frac{feet}{minute}[/tex]

therefore

the answer is the option

The slope is [tex]-400[/tex] . This means that the helicopter descends [tex]400[/tex] ft each minute.

Answer:

-400

Step-by-step explanation:

Answer:

The cafeteria provides three meals per day.

Reason 1

Yes, they vary directly  

As number of days increases ,Total number of meals i.e

1st day ⇒ 3

2nd day⇒6

3 rd day⇒9

4th day⇒12

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

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

increases.

Total number of Meals = k×Number of days

But there is another possibility also

Reason 2

1 st day ⇒ 3

2nd day ⇒3

3rd day⇒ 3

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

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

As you can see from the above expression On each day number of meals is  

constant.

So we can say that ,

On each Day=Constant amount of meal=3

So, there is no Proportionality between Days and Meal.

Answer:

Volume of the empty space (outside pyramid) is 225 cm².

Step-by-step explanation:

Dimensions of the rectangular prism = 5cm × 5cm × 12cm

Volume of a triangle is represented by the expression,

[tex]V_{1}[/tex] = Length × Width × Height

   = 5×5×12

   = 300 cm²

A rectangular pyramid with half the height and same base of the prism, has been inserted inside the rectangular prism then,

Volume of pyramid is represented by the expression,

[tex]V_{2}=\frac{1}{3}(\text{Area of the base})\times (\text{Height})[/tex]

    = [tex]\frac{1}{3}(5\times 5)\times (6)[/tex]

    = 75 cm²

Therefor, volume of the space left in the blank prism

[tex]V_{1}-V_{2}=300-75[/tex]

            = 225 cm²

6 * 3 / sqrt9

Using PEMDAS, solve SQRT first.

6 * 3 / 3

Using PEMDAS, solve 6 * 3.

18 / 3

Solve.

6.

Your answer is 6.

Answer:

It's 5 for connexus students, I did it already.

Step-by-step explanation:

Because the 6 in the hundredths place is bigger than 5( the maximum) the tenths place will automatically round up to the next following number. The answer will be 146.6

Note the place values:

1 : hundred

6 : tens

7 : ones

.

4 : tenths

3 : hundredths

Look at the place value for 3. It is in the hundredths value, therefore, Hundredths is your answer

~Rise Above the Ordinary

How will the federal tax affect a gross biweekly pay of $740 for a single person claiming 1 exemption?

a.

It increases gross pay by $62.

b.

It decreases gross pay by $62.

c.

It increases gross pay by $65.

d.

It decreases gross pay by $65.

its d

Answer:

d

Step-by-step explanation:

Steps to Solve:

1.  634 / 2 = 317

2. 317 + 66 = 383

Answer:

A = $383

Notes:

Read the question, this problem is not that hard to solve!

Answer:

you still need the answer after all these years??? XD

Step-by-step explanation:

Hey, there! For this question, we can just start by plugging in the known values. [tex](f + g)(x)[/tex] can be rewritten as [tex](\frac{x}{2} - 3 + 3x^2 + x - 6)(x)[/tex].

Combine like terms: [tex](\frac{x}{2} + x - 3 - 6 + 3x^2)(x)[/tex]

If you add x to [tex]\frac{x}{2}[/tex], x will become [tex]\frac{2x}{2}[/tex], which means that x/2 + x = 3/2x.

--> [tex](\frac{3}{2}x - 9 + 3x^2)(x)[/tex]

If you rearrange this, then your answer will be option b. Hope this helps.

       f(x) = [tex]\frac{x}{2}[/tex] - 3

    + g(x) = 3x² + x - 6

f(x) + g(x) = 3x² + [tex]\frac{x}{2}[/tex] + x  -3 - 6

              = 3x² + [tex]\frac{3}{2}x[/tex] - 9

Answer: B

well 251 cannot go into 5 as a whole number because its way bigger than 5 so, it will be a decimal.

Your answer is

5/251 = 0.01992031872

[tex]2y > x-2\qquad|:2\\\\y > \dfrac{1}{2}x-1[/tex]

for < or > line is - - - - - - - -

for ≤ or ≥ line is _________

for < or ≤ shaded below the line

for > or ≥ shaded above the line

Therefore your answer is the third graph.

Answer:

Option C. is the correct option.

Step-by-step explanation:

The given inequality is 2y > x - 2

1). As we know on a graph > (greater than) sign reflects the shaded part above the line

and < (less than) tells about the shaded region below the line.

2). If there is a sign of equality ≥ or ≤ then the line is denoted by a solid line in the graph.

When signs are in the form of > or < only then line will be in the dotted form.

By these rules we can easily say shaded area above the dotted line represents the solution area of the inequality 2y > x - 2.

Therefore, option C is the answer.

Answer:

4

Step-by-step explanation:

with th information given we can express the equation:

[tex]2x-8=\frac{x}{2} -2[/tex]

where [tex]x[/tex] is the unknown number.

to clear for [tex]x[/tex] first we multiply the equation by 2, to eliminate the fraction:

[tex]2(2x-8=\frac{x}{2}-2 )\\4x-16=x-4[/tex]

moving all terms with [tex]x[/tex] to the left:

[tex]4x-x-16=-4\\3x-16=-4[/tex]

and adding +16 to each side:

[tex]3x-16+16=-4+16\\3x=12[/tex]

and finally, dividing by 3

[tex]x=\frac{12}{4} =4[/tex]

the number is 4.

Answer: There will be two different ways of doing so.

Step-by-step explanation:

Since we have given that

Total number of rocks =38

If we want to groups of 10 rocks or as single rocks then there are 2 different ways ;

Case I:

if we group into 10 rocks

there will be four sets in which Ist set contains 10 rocks

Second set contains 10 rocks

Third set contains 10 rocks

and Fourth set remains with 8 rocks only.

Case II:

if we group as single rocks .

There will be 38 sets .

Final answer:

The expanded form of the algebraic expression (2x + 1)(3x - 8) is 6x² - 13x - 8.

Explanation:

To expand the algebraic expression (2x + 1)(3x - 8), we'll use the distributive property, which states that a(b + c) = ab + ac. First, we multiply 2x by each term in the second parentheses (3x and -8), and then we multiply 1 by each term in the second parentheses. Let's do this step by step:

Now, we combine these terms:

6x² - 16x + 3x - 8

Simplify by combining like terms:

6x² - 13x - 8

Therefore, the expanded form of (2x + 1)(3x - 8) is 6x² - 13x - 8.