give the slope of a line perpendicular to the given line.

6x+3y=18

Answer:

1/5

Step-by-step explanation:

divide numerator and denominator by 9.

(Because that will go into both 9 and 45.)

9/45 = 1/5

Answer:

y = 5x - 11

Step-by-step explanation:

The equation is y = mx+b where m is the slope and b is the y intercept

y = 5x + b (now lets substitute the coordinate in to solve for b)

4 = 5(3) + b

4 = 15 +b

b = -11

y = 5x - 11

Answer:

∠Q = 63.4º, PQ = 2, QO = 4.47

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as the equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

Triangle POQ is a right angled triangle because ∠P = 90°. Also, ∠O = 26.6°.

Therefore in ΔPOQ: ∠P + ∠O + ∠Q = 180° (sum of angles in a triangle).

90 + 26.6 + ∠Q = 180

∠Q + 116.6 = 180

∠Q = 180 - 116

∠Q = 63.4°

We can find PQ and QO using sine rule. Sine rule for ΔPOQ is given as:

[tex]\frac{PO}{sin Q}= \frac{PQ}{sinO}= \frac{QO}{sin P}\\\\Finding\ PQ :\\\\\frac{PO}{sin Q}= \frac{PQ}{sinO}\\\\\frac{4}{sin(63.4)} =\frac{PQ}{sin(26.6)}\\\\PQ= \frac{4}{sin(63.4)} *sin(26.6)\\\\PQ = 2\\\\Also\ finding\ QO:\\\\\frac{PO}{sin Q}= \frac{QO}{sinP}\\\\\frac{4}{sin(63.4)} =\frac{QO}{sin(90)}\\\\QO=\frac{4}{sin(63.4)} *sin(90)\\\\QO = 4.47[/tex]

Answer:

$84.75

Step-by-step explanation:

Given that  she earns $9.75 per hour plus 10% of the parking fees that are  collected, her  income is of 2 folds; an hourly rate and an amount collected based rate.

If the shift is for 5 hours, her income based on

Hourly rate = 5 * $9.75

= $48.75

The amount collected based rate

= 10% * $360

= 10/100 * $360

= $36

Her total earnings will be

= $48.75 + $36

= $84.75

Answer:

x is 4 when y is 180

y is 540 when x is 12

Step-by-step explanation:

The ordered pair to complete the table is (4, 180), (8, 360), and (12, 540).

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

From the graph, at y = 180 miles, x = 4 hours

At x = 8 hours, y = 360 miles,

At x = 12 hours, y = 540 miles,

You can also calculate this by the concept of ratio,

8 / 360 = 12 / y

8y = 12 × 360

y = 4320 / 8

y = 540 miles

Therefore, the ordered pair to complete the table is (4, 180), (8, 360), and (12, 540).

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Answer:

Jenna has 6 and 4/5 cookies left.

Step-by-step explanation:

Jenna starts with 10 cookies. She eats 1, her brother eats 2, and her little sister eats 1/5. If you add up all the cookies they ate. that would be 3 1/5 cookies they ate. So, 6 and 4/5 cookies are left.

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Answer:

18

Step-by-step explanation:

The least common denominator is 3 because it's asking for the smallest denominator that the could have which is 3

Answer:

Step-by-step explanation7:

Answer:

the answer is 26

Step-by-step explanation:

hope that helped because 30-4

Answer:

0 1 2 3 4 6 8 12 24

Step-by-step explanation:

factors of 24

Answer:

See below

Step-by-step explanation:

Domains are the first values and range are the second values given in the brackets.

Domain = {10, - 2, 5, 3}

Range = {7, 4, 3, 10}

I the third bracket, at x = 5, y is 3.

So,

f(5) = 3

Answer:

ABC is similar to EDC and Angle A is congruent to angle C. Width of lake is 48

Step-by-step explanation:

Answer:

i believe it was a is congruent to E

Step-by-step explanation:

A part is the answer.

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9514 1404 393

Answer:

  2 miles 2 yards

Step-by-step explanation:

There are 1760 yards in a mile, so you are effectively performing the division ...

  (9185 380/1760) ÷ 4590

where the number in parentheses is a mixed number of miles.

You do this division the same way you do any mixed-number division. There are different possible methods you can use. One of them is to convert the mixed number to an improper fraction, then divide.

  9185 380/1760 = 9185 19/88 = (88·9185 +19)/88 = 808299/88

Then this is divided in the usual way:

  [tex]\dfrac{808299}{88}\div4590=\dfrac{808299}{88\cdot4590}=\dfrac{808299}{403920}=2\dfrac{459}{403920}=2\dfrac{1}{880}[/tex]

Finding the quotient and remainder is straightforward. Reducing the fraction involves finding common factors in the numerator and denominator. As it turns out, 459 is a factor of 403920, so the fraction reduces as shown.

Now, we need to convert 1/880 miles back to yards.

  ((1/880) mi) × (1760 yd/mi) = 2 yd

So, the quotient you seek is ...

  2 miles 2 yards

Answer:

Image provided.

Step-by-step explanation:

                                              Question 1)

Given

f(x) = -2x+17

g(x) = -5x-10

To determine

h(x) = f(x) – g(x)

Using the equation

h(x) = f(x) – g(x)

substitute f(x) = -2x+17 and g(x) = -5x-10

     =  -2x+17 - (-5x-10)

     = -2x+17 + 5x + 10

     = 3x + 27

Thus,

h(x) = 3x + 27

                                               Question 2)

Given

f(x) = 7x+6

g(x) = 6x+8

To determine

j(x) = f(x) + g(x)

Using the equation

j(x) = f(x) + g(x)

substitute f(x) = 7x+6 and g(x) = 6x+8

j(x) = 7x+6 + 6x+8

j(x) = 13x + 14      

Thus,

j(x) = 13x + 14      

Answer:

Step-by-step explanation:

Perimeter =100

the lengths of the sides are 5x+3x+30x+2x+10

5x+3x+30+2x+10=100

10x=100-40

10x=60

x=6

one side is 5x=30

one side 18+30=48

one side 2x+10=12+10=22

the longest side is 48

Longest side of triangle is 48 inches

Given information:

Perimeter of triangle = 100 inches

First side of triangle = 5x

Second side of triangle = 3x + 30

Third side of triangle = 2x + 10

Find:

Length in inches and longest side of the triangle

Computation:

Perimeter of triangle = Sum of all sides

So,

5x + (3x + 30) + (2x + 10) = 100

10x + 40 = 100

10x = 60

x = 10

So,

First side of triangle = 5x = 5(6)

First side of triangle = 30 inches

Second side of triangle = 3x + 30 = 3(6) + 30

Second side of triangle = 48 inches

Third side of triangle = 2x + 10 = 2(6) + 10

Third side of triangle = 22 inches

Longest side of triangle is 48 inches

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Answer:

3

Step-by-step explanation:

12 divided by 4 is 3. Therefor 1/4 of 12 is 3.

Answer:

3

Step-by-step explanation:

Do 12 times .25!

Hope this helps and have a great day!

Answer:

240

Step-by-step explanation:

9514 1404 393

Answer:

  $456,662

Step-by-step explanation:

The amount paid to Social Security is a maximum of ...

  6.2% × $106,800 = 6,621.60

If we want an equal amount paid to Medicare, we want ...

  1.45% × earnings = $6,621.60

  earnings = $6,621.60/0.0145 ≈ $456,662

Someone would have to earn $456,662 so that their Social Security and Medicare payments were equal.

Answer:

1. 5IN = 9 OUT

2. -3 IN= -7 OUT

3. 4 IN = 7 OUT

4. -9 IN = -20 OUT

Step-by-step explanation:

Answer: the answer is C 190

Step-by-step explanation:

i promise this is the answer

Answer:

when no one answers ur question

Step-by-step explanation

Answer:

2.5

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

f(1) = 1

Step-by-step explanation:

The value of f(1) simply means what is the corresponding output we would get for an input of 1.

This also implies that for what of y is x equal to 1?

From the graph, when x = 1, y = 1.

Thus:

f(1) = 1

Answer:

-6

Step-by-step explanation:

there is a negative so it's a negative number you add the equation you divide the answer by 2 then you get your answer.