Determine which of the lines, if any, are parallel or perpendicular. Explain.

Line a: -x+2y=3

Line b: -6x=3y-1

Line c: 4x-8y=5

Answer:

[tex]10 {w}^{2} - 31w + 15 \\ \\ 10 {w}^{2} - 6w - 25w + 15 \\ \\ 2w(5w - 3) - 5(5w - 3) \\ \\ (2w - 5)(5w - 3)[/tex]

# be careful #

7:5 mean that to every 7 men there is 5 woman.

There are 54 women working for the company.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The ratio of men to women working for the company is 7:5, which means that for every 7 men, there are 5 women.

We can express this as a fraction by writing 7/7 as 1 and 5/7 as 5/7, so the ratio becomes 1:5/7.

This fraction can be rewritten as 7/7:35/7, and since the two fractions have the same denominator, we can say that the ratio is equal to 7:35.

Since there are 192 total employees, and the ratio of men to women is 7:35, we can set up the following proportion:

7/35 = x/192

We can solve this proportion by cross-multiplying:

7/35 × 192 = x

This simplifies to:

x = 54

Therefore, the company hired 54 female employees.

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Answer: Most of the time, we're going to have to look at the graph of the function to determine its range. Examples. • Example 1 g(x) = 6x − 2. 3x − 4. (4).

5 pages

Step-by-step explanation:

hope this helps

The given graph is  a one-to-one function

A relation is a function if it has only One y-value for each x-value.

A function is said to be one-one if corresponding to each x we get a distinct y-value.

i.e. No two x have the same y-value.

Also it can be seen from the graph when any horizontal line is drawn parallel to the x-axis then the line intersect the curve atmost once.

it passes the horizontal line test.

Many-to-one function is a function is many to one when many x-values are mapped to same y-value.

Clearly from the graph we see that the graph is a one-to-one function.

Hence, the given graph is  a one-to-one function

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Answer:

y=3x-10

Step-by-step explanation:

A line parallel to another line has the same slope.

Therefore, we can create the equation y=3x+b.

Substituting (4,2) into y=3x+b,

2=3(4)+b

2=12+b

-10=b

y=3x-10

Therefore, the equation of the line parallel to y=3x-8 which passes through the point (4,2) is y=3x-10

Answer:

y = 3x - 10

Step-by-step explanation:

Equation: y = 3x + b

Point: (4, 2)

y = 3x + b

2 = 3 (4) + b

2 = 12 + b

b = -10

y = 3x - 10

We are given –

We are asked to find volume of the given cylinder.

Let the radius be "r".Then according to the question,it’s given –

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf Curved\: surface\: area _{(Cylinder)}= 2\pi r h }[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 2\pi r h = 24 \pi[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 2\cancel{\pi} rh = 24 \cancel{\pi}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r =\dfrac{24}{2h}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \dfrac{24}{2\times 4}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \dfrac{24}{8}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \cancel{\dfrac{24}{8}}[/tex]

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf r = 3 \: cm}[/tex]

Now, Let's find volume of cylinder

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf V_{(Cylinder)} = \pi {r}^{2}h}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 3^2\times 4 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 9 \times 4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 36[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf V_{(Cylinder)} = 36 \pi \: cm^3}[/tex]

Step-by-step explanation:

Given :-

to find :-

Solution :-

Lateral surface area of cylinder = 2πrh

24π cm = 2πrh

Cancelling π on both the sides ,

24/2h = r

putting the value of h i.e, 4 cm

24/2×4 cm = r

3 cm = radius

Now volume of Cylinder = πr²h

putting all the values ,

Volume = 3.14 × 3² × 4 cm³

Volume = 113.04 cm³

Answer:

Cube root of 27 in radical form: ∛27???

Step-by-step explanation:

hope this helps

Answer:

D. 14

Step-by-step explanation:

These triangles are something called a scale factor. A scale factor means when you multiply any side by that factor, you get the side of the other triangle. It is an exact copy of the triangle from before, just bigger or smaller, also known as set to scale. Here we can do 7/6 to find the scale factor (which is 1.16666666667), and multiply that factor by 12 to get 14.

Answer:

6

Step-by-step explanation:

slope is rise/run

to get from -1 to 5 is 6 points

y axis to 1 is 1 point

6/1=6

Answer:

=> 5m+3(m-3)+7=2m-1

=> 5m+3m-9+7 = 2m-1

=> 8m-2 = 2m-1

=> 8m-2m = -1+2

=> 6m = 1

=> m = 1/6

Answer:

[tex]25[/tex]% of 96 = 24

Step-by-step explanation:

?% of 96 = 24

[tex]\frac{x}{100} =\frac{24}{96}[/tex]

[tex]x =\frac{24*100}{96}[/tex]

[tex]x = 25[/tex]%

Answer:

I believe your answer is 9

Step-by-step explanation:

The way I found this answer was by assuming that triangle CDE was expanded to get triangle FGH. So I divided 18/4 and got the answer 4.5, which means that the triangle was expanded by a factor of 4.5. So I then multiplied the similar side to HG by 4.5 which was side ED. This got me with 4.5 x 2 and I got the answer 9.

Hope this helps! :)

There is only one value for x that makes [tex](x+4)^2=0[/tex]

Given the vertex form of the function expressed as:

[tex]f(x) = -(x+4)^2+5[/tex]

If the function f(x) = 5

[tex]5 = -(x+4)^2+5[/tex]

Subtract 5 from both sides

[tex]5 = -(x+4)^2+5\\-(x+4)^2= 5-5\\-(x+4)^2=0\\[/tex]

Hence there is only one value for x that makes [tex](x+4)^2=0[/tex]

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Answer:

2. Distributive Property

4. Division Property of Equality

Step-by-step explanation:

2. The reason is Distributive Property since Raya distributed 2.5 to each term in the parentheses:

2.5(6.25x)+2.5(0.5)=11 --> 15.625x+1.25=11

4. The reason is Division Property of Equality since Raya divided both sides by 15.625.

A more in depth version of 3-4:

15.625x+1.25-1.25=11-1.25

               15.625x=9.75

Divide both sides by 15.625 (division property of equality since she is dividing the same number from both sides of the equation)

                           x=0.624

Answer:

geotheral

Step-by-step explanation:

Answer:

Cos of B = 36 / 38.884

Step-by-step explanation:

To find the cos of b you need the hypotenuse

(a)^2 + (b)^2 = (c)2

(36)^2 + (15)^2 = 1521

1521 squared is 38.884

Hypotenuse side goes on bottom and adjacent side on top

Cos of B = 36 / 38.884

Answer: x=-56/3 (the second answer)

Answer:

42 inches

Step-by-step explanation:

Let x represent the length of the shorter piece then...

2x=28

Divide both sides by 2

x=14

The shorter one is 14 inches long and the longer one is 28 inches long. Now, we add these two numbers to find the original length of the lumber.

14in+28in=42 inches

Answer:

➢ The income effect describes the relationship between an increase in real income and demand for a good. The result of the income effect for a normal good is discernible to that of an inferior good in that a positive income change causes a consumer to buy more of a normal good, but less of an inferior good.

[tex]Into \: your Arms[/tex]

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Given, m<7 = 108°

To find, m<3

Since both the given angles are on the same side of transversal, thus there sum is 180°

Thus, m<7 + m<3 = 180°

108° + m<3 = 180°

m<3 = 180° - 108°

m<3 = 72°

Hope this helps :)

Organizing the problem:

Which THREE expressions are equivalent to:

(x + 6) + (x + 6) + (x + 6) + (x + 6)

O 4(x + 6)

0 2 (x + 12)

2 + 12 + 22

12 3a + 6 + 1 = 6

тиб 42 = 24

Out of these selections, i can only tell that number one is correct, number two isn't, and i can't tell for the rest. Please organize the question more clearly.

--Hunter

Answer:

0.171 m

Step-by-step explanation:

First, let's determine how many mm of track he has in total...

74mm+97mm=171 mm

Now, we can set up a unit converter to convert mm to m (note that 1 mm is [tex]10^{-3{[/tex] m)...

[tex]171mm(\frac{10^{-3}m}{1mm})[/tex]

The "mm" cancels out...

[tex]171*10^{-3}m=0.171m[/tex]

Answer:

Step-by-step explanation:

74 +  97 = 171 mm

Length of the train track = 171 mm = 171÷ 1000 = 0.171 m

Answer: 1716/25 or 16 68/25

Step-by-step explanation:

Formula: 1/2 x height x (a+b)

Answer:

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

Answer:

Sample Response/Explanation: A system consisting of lines that do not intersect will have no solution. Lines will not intersect if they have the same slope, but different y-intercepts. Parallel lines have the same slope, which means they will never intersect.

Step-by-step explanation:

Answer:

  x = 4

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the remote interior angles.

  18x +5 = (46) +(-1 +8x)

  10x = 40 . . . . . . . . . . . . . subtract (5+8x) from both sides, simplify

  x = 4 . . . . . . divide by 10

__

Additional comment

The exterior angle is (18)(4) +5 = 77°. The marked unknown interior angle is -1+(8)(4) = 31°. The sum of the two remote interior angles is 46°+31° = 77°. The unmarked interior angle is 180°-77° = 103°.

Answer:

andrew can drive 20 miles for every 1 gallon of gas

Step-by-step explanation:

Answer:

Step-by-step explanation:

yeah you got it