what is the equation of the line x-3y = 18 in slope-intercept form ?

The rational number that equals to 2.8 (a decimal number that has repeating 8), from the options given, is twenty six over nine (26/9) because when converted to decimal it gives 2.89, which is closest to 2.8

The question is asking which rational number is equal to 2.8 where the bar over the number indicates that it is repeating. The dot over the 8 implies that the number is actually 2.8888..., where the 8 is repeated indefinitely. So we need to find which fraction out of your given options: twenty two over nine, twenty four over nine, twenty six over nine, twenty eight over nine, equals to this decimal number.

To convert these fractions to decimal form:

22/9 = 2.44,
24/9 = 2.67,
26/9 = 2.89,
28/9 = 3.11

By comparing these values, we can see that twenty six over nine (26/9) is the decimal equivalent to 2.8 as it gives us 2.89 which is closest to it.

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A = 180-110 = 70

 angle A is 70 degrees

Answer: 7 units

Step-by-step explanation: In this problem, the given numbers -3 and 4 represent the coordinates of the endpoints of a segment and we are asked to find the length of the segment.

To find the length of a segment, we take the greater endpoint coordinate minus the lesser endpoint coordinate.

In this case, the greater endpoint coordinate is 4 and the lesser endpoint coordinate is -3.

So, we have 4 - (-3) which can also be thought of as 4 + 3 which equals 7.

Therefore, the length of this segment is 7 units.

Let

x--------> the number

we know that

1) the phrase, "the sum of 14 and a number"

represent the expression --------> [tex](14+x)[/tex]

and

2) the complete phrase, "one fifth the sum of 14 and a number"

represent the expression --------> [tex]\frac{1}{5}(14+x)[/tex]

therefore

the answer is

[tex]\frac{1}{5}(14+x)[/tex]

There are a total of 360 degrees and a total of 24 hours, therefore there are 15 degrees per hour.

Location x is located at 45 degrees, so therefore the location after 1 hour must be at 60 degrees.

Answer:

D

Answer:

it is letter D

Step-by-step explanation:

its letter D when I was doing it, in go formative

The number of permutations of 6 items that can be selected from a group of 6 is; 120 ways.

List of permutations of items b,d and f is; bdf, bfd, dbf, dfb, fdb, fbd

The permutation required can be evaluated as follows;

= 6×5×4 = 120 ways.

The List of permutations of items b,d and f is;

Read more on permutation;

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I believe that this problem has the following choices:

It must be equal to BQ .
It must be wider than when he constructed the arc centered at point A.
It must be equal to AB .
It must be the same as when he constructed the arc centered at point A.

The correct answer is the last one:

It must be the same as when he constructed the arc centered at point A.

Answer:

The compass must be the same width as it was when he constructed the arc from point A.

Step-by-step explanation:

In order to construct a perpendicular line to a given line, we need to construct a point above and a point below the line such that the segment through them meets the line at a right angle.

When he constructed the arc from point A, it gave him one piece to creating these points.  An arc from point B, intersecting the arc from point A at two points, will give him the two points he needs.

In order for the arc from point B to intersect the arc from point A, however, the width of the compass must be the same as it was when he constructed the arc from point A.

2/20 = x/15

cross multiply

20x/30

x = 30/20 = 1.5

it will be 1.5 inches deep

2/20 = x/15

cross multiply

20x/30

x = 30/20 = 1.5

it will be 1.5 inches deep

Answer:

The answer is the second one for sure y=5/6x−3.

Step-by-step explanation:

The equation of the line is y = (5/6)x - 3 which is the correct answer would be option (B).

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

We have been given a line that has a slope of 5/6 and a y-intercept is -3.

Let the required line of the equation would be as

y = mx + c

Where m is the slope of the line

We have given the y-intercept is -3 which means the x-coordinates will be zero.

Substitute the value of x = 0 and y = -3 in the above equation to get c.

⇒ -3 = m(0) + c

⇒ -3 = c

The slope of the line m = 5/6 which is given in the question,

Substitute the value of m = 5/6 and c = -3 in the equation y = mx + c

⇒ y = (5/6)x - 3

Therefore, the equation of the line is y = (5/6)x - 3.

Learn more about the equation here:

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Final answer:

To find out the amount of silk remaining, we need to subtract the amount of silk used to make the kite from the total amount of silk Alex had before purchasing the packages. After performing the calculations, we find that Alex doesn't have any silk remaining.

Explanation:

To find out how much silk remains, we need to subtract the amount of silk used to make the kite from the total amount of silk Alex had before purchasing the packages. Let's first simplify the expressions:

Total silk Alex had = 3x + 1

Total silk purchased = (x^2 + 5x + 4) × (2x + 1)

Silk used for kite = 2x^3 + 8x^2 + 10x + 4

Now, substitute the given values of x:

Total silk Alex had = 3(1500) + 1 = 4501 yards

Total silk purchased = (1500^2 + 5*1500 + 4) * (2*1500 + 1) = 22537500 yards

Silk used for kite = 2(1500^3) + 8(1500^2) + 10(1500) + 4 = 53910002004 yards

Finally, subtract the silk used for the kite from the total silk Alex had:

Silk remaining = Total silk Alex had - Silk used for kite = 4501 - 53910002004 = -53910001403 yards

Since the result is negative, it means that Alex doesn't have any silk remaining.

To make this anion into a complete acid, then this must be added with Hydrogen ion H+. So the chemical equation looks like:

H+  +  SO3(2-)  -->  ?

Now to balance it:

H+  +  SO3(2-)  -->  H2SO3

Answer:

H2SO3

Answer:

H2SO3-

Step-by-step explanation:

The Venn diagram that illustrates the given conditional statement is:

                  Option: a

Cars are motor vehicles.

This means that all the cars are motor vehicles but converse need not be true.

i.e. all the motor vehicles cant be cars.

i.e. Cars are contained in Motor Vehicles.

Hence, the correct Venn diagram is:  Option: a

(  Option: b represent the statement

Some cars are  Motor vehicles and some motor vehicles are cars.

Option: c represent the statement

Motor vehicles are Cars.

Option: d represent the statement:

Some motor vehicles are cars and some cars are motor vehicles.)

the correct answer is

B)y2 – 5y = 750

C)750 – y(y – 5) = 0

E)(y + 25)(y – 30) = 0

I JUST took the test

Using π ≈ 3.14, the radius of a circle with circumference 28.3 m is approximately 4.5 meters.

Step 1:

Write down the formula for the circumference of a circle.

The formula for the circumference (C) of a circle is given by:

[tex]\[ C = 2 \pi r \][/tex]

Step 2:

Substitute the given value for the circumference into the formula.

Given [tex]\(C = 28.3\)[/tex] m, we use the approximation [tex]\(\pi \approx 3.14\)[/tex]:

[tex]\[ 28.3 = 2 \times 3.14 \times r \][/tex]

Step 3:

Solve for the radius (r).

Divide both sides of the equation by [tex]\(2 \times 3.14\)[/tex]:

[tex]\[ r = \frac{28.3}{2 \times 3.14} \][/tex]

Step 4:

Calculate the value of (r).

[tex]\[ r = \frac{28.3}{6.28} \][/tex]

[tex]\[ r \approx 4.5 \text{ m} \][/tex]

So, the radius of the circle with a circumference of 28.3 m, using the approximation [tex]\(\pi \approx 3.14\)[/tex], is approximately 4.5 meters.