Find the slope of the line passing through each of the following pairs of points and draw the graph of the line.
a
(4, 3), (2, 2)

Answer:   (^-^)    2

Step-by-step explanation:

2+7 is 9 you divided 18 by 9 which it is 2

Answer:

Maximum slope for hand-propelled wheelchair ramps should be 1" of rise to every 12" of length (4.8 degree angle; 8.3% grade).

Maximum slope for power chairs should be 1.5" rise to 12" length (7.1 degree angle; 12.5% grade).

Minimum width should be 36" (inside rails) - (48" is ideal).

The "deck" or surface of the ramp should be set down between a side-rail assembly such that there is about a 2" curb or lip along the edges of the ramp surface. Decking could consist of 1" X 6" pressure treated pine, (or 3/4" pressure treated plywood applied to a frame).

If possible, the end of the deck (where it meets the lower ground surface) should be beveled to provide a smooth transition from the ramp to level ground. Alternatively, a sheet of 10 Ga. steel at least 10" long and sized to fit the width of the ramp could be used to span the space between the deck surface and the walk or driveway surface at the end of the ramp. This piece should overlap the ramp deck by 2" and be fastened securely with 4 large countersunk flat-head wood screws.

A level platform of at least 5' X 5' should be at the top of ramp to allow for wheelchair maneuvering. If the entrance way opens outward, there should be 1' of surface area extending from the side of the door opening to allow motion to the side without backing the chair during door opening. This landing should not be considered part of the overall "run"/length of the ramp. Any turning point along the ramp needs a level landing. If the turn is a right angle (90 degrees), the landing should be a minimum of 5' by 4'. If a "switchback" of 180 degrees is constructed, the level landing should measure at least 5' X 8'. Ramps longer than 30' should provide a platform every 30' for purposes of safety and to create opportunity for rest

Step-by-step explanation:

The length of the ramp nearest to the hundredth will be 12.04 feet.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A wheelchair slope that is developed to rise 1 foot off the ground should expand 12 feet along the ground.

The length of the ramp will be given as,

H² = P² + B²

H² = 12² + 1²

H² = 144 + 1

Simplify the equation further, then we have

H² = 145

H = √145

H = 12.04 feet

The length of the slope closest to the 100th will be 12.04 feet.

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Answer:

you got it keep 4-6

Step-by-step explanation:

Answer:

C=550+121m

Step-by-step explanation:

M equals the number of months while C equals the cost

Answer:

24 is correct answer

Step-by-step explanation:

[tex]2 {x}^{2} - 5x + 6 \\ = 2 {( - 2)}^{2} - 5 \times ( - 2) + 6 \\ = 2 \times 4 + 10 + 6 \\ = 8 + 10 + 6 \\ = 24[/tex]

hope it helped you:)

Answer:

The answer is 50 degrees :)

Step-by-step explanation:

Answer: It will take Victor 16 months.

Step-by-step explanation:

He is saving for a used care which coast $8000 and saving $500 per month and we can represent that by the equation   500x = 8000 where x is the number of months.

500x = 8000  solve for x by dividing both sides by 500

x = 16

Answer:

18 months

Step-by-step explanation:

8000 divided by 500 = 18

Answer:

f(0) = 1

Step-by-step explanation:

The graph given to us shows that we have 2 values for y when x = 0. Since point (0, 0) is an open dot, it is not included in the function, meaning it is not usable. The other point, (0, 1), is a closed dot, so we can use that. Therefore, f(0) = 1.

Answer:

Step-by-step explanation:

When the x is -3, this is the equation. y = |-3| - 5.

The absolute value of -3, |-3| is 3 because that is how far away it is from 0.

So our equation is now this: y = 3-5. 3 - 5 is -2, so

y = -2

Let's do another one.

y = |1| - 5

The absolute value of 1, |1| is still 1 because that is how far away from 0 it is.

Our equation is now this. y = 1 - 5. 1 - 5 is -4, so

y = -4

Hope this helps!

Answer:

13/4

Step-by-step explanation:

Answer:

B. 0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1

Step-by-step explanation:

Took a test

Factoring and solving the equation, it is found that the zeroes are:

B. 0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1.

The function is:

[tex]f(x) = -x^5 + 9x^4 - 18x^3[/tex]

Simplifying by [tex]-x^3[/tex]:

[tex]f(x) = -x^3(x^2 - 9x + 18)[/tex]

The zeroes are the values of x for which:

[tex]f(x) = 0[/tex]

[tex]-x^3 = 0 \rightarrow x = 0[/tex]

0 has multiplicity 3.

And:

[tex]x^2 - 9x + 18 = 0[/tex]

Quadratic equation with [tex]a = 1, b = -9, c = 18[/tex].

[tex]\Delta = (-9)^{2} - 4(1)(18) = 9[/tex]

[tex]x_{1} = \frac{-(-9) + \sqrt{9}}{2(1)} = 6[/tex]

[tex]x_{2} = \frac{-(-9) - \sqrt{9}}{2(1)} = 3[/tex]  

6 and 3 with multiplicity 1, thus option B.

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Answer:

  6000 g

Step-by-step explanation:

In the metric system, 6 kg = 6000 g. (The prefix kilo- means 1000.)

__

In other units of measurement, 6 kg ≈ 13.2277357311 pounds. This is not an exact conversion.

Answer Distance Formula

The distance between points A and B or the length of segment AB is √242 units or 15.55 units.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is given that:

The line segment is AB.

The endpoints of segment AB are A (-7, 5) and B (4, -6)

We can use the distance formula to find the distance between points A and B or the length of the segment AB.

[tex]\rm AB=\sqrt{(4+7)^2+(-6-5)^2}[/tex]

AB = √242 units

Or

AB = 15.55 units

A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.

Thus, the distance between points A and B or the length of segment AB is √242 units or 15.55 units.

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Dustin need 8 ounces for each pot.

Given that Dustin is planting herbs, he starts with a 4-pound bag of soil and puts the same amount of soil in each pot.

We need to find how many ounces does he add to each pot.

So,

16 ounces = 1 pound.

Since, there are 4 pounds, we multiply 4 by 16 to get 64, which is the amount of oz of dirt Dustin will plant.

We then divide 64 by 8, to find out the amount of oz per pot.

Hence Dustin need 8 ounces for each pot.

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Answer:

all real numbers

Step-by-step explanation:

There are no radicals or fractions involved, so the domain is

Answer:

y = -2x + 1

Step-by-step explanation:

-2 is the slope and 1 is the y intercept :)

Answer:

1. 4x+3y+9

2. coeffiecent

   variable

   constant

3.

a.unlike

b.like

c.unlike

4.x=6

5. x=-12

Step-by-step explanation:

Answer:

3rd answer

Step-by-step explanation:

Answer: mean = 64.95

Step-by-step explanation:

According to the Empirical rule , 95% of the population lies with 2 standard deviations from the mean when data is normally distributed.

Given:  95% of all marigold flowers have a height between 10.9 cm and 119.0 cm.

If height is normally distributed , then

Mean - 2 standard deviation = 10.9    (i)

Mean + 2 standard deviation = 119.0    (ii)

Add (i) and (ii), we get

2 Mean = 10.9+119.0

⇒ 2 Mean = 129.9

⇒   Mean = 64.95  [divide both sides by 2]

So, mean = 64.95

Answer:

4.08

Step-by-step explanation:

26.08 +(-6)²*(3.4-8.9)÷9

parenthesis first

26.08+36*(-5.5)÷9

then multiplication

26.08-198÷9

division

26.08-22

addition or subtraction

4.08

the answer is A) 4.08

Answer: Option a.

Step-by-step explanation:

The data is:

The cost of mailing a letter is $0.37 for the first ounce.

$0.23 for each additional ounce or portion.

Then if we define the variable n, as the number of additional ounces, we can write this as:

F(n) = $0.37 + n*$0.27

This seems to be a linear relationship, but n only can take whole numbers, this means that if n is equal to 0.37, we should round it up (because we already have more than only one ounce).

Then we round up all the non-integers to the next integer.

for example, we round 1.45 to 2 and 1.876 to 2.

This means that F (1.45) = F(1.876) = F(2) = $0.37 + 2*$0.27

This is called a greastet integer function. then the correct option is a.

Answer:

Its B. Step Function, I just turned it in.

Step-by-step explanation:

Edge. 2020-21

Answer:

y=4x+30

In 7 months, the total cost will be $58.

Step-by-step explanation:

Since the monthly fee is 4, it's going to be the constant, or the slope. And 30 is a one time fee, so it's the y-intercept.

How many Months?

58-30=28

28/4=7

So in 7 months.

Answer:

7 months

Step-by-step explanation:

y =4x + 30

58 = 4x + 30

28 = 4x

x = 7

it will take 7 months.

Square are the same size all the way around, which means every side = x + 4

The perimeter of a square = 4 * side

the perimeter = 44 cm

Let's plug our values into the formula above.

44 cm = 4 * (x + 4)

Distribute the 4

44 cm = 4x + 16

Subtract 16 from both sides

28 cm = 4x

Divide both sides by 4

7 = x

Answer:

?

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

just subract 60 and 17

Answer:

m=11

Step-by-step explanation:

Add 17 from 60

then divide 77 by 7

equals 11.

Answer: -6.875

Step-by-step explanation:

Divide 55 by 8 and apply the negative sign.

Answer:

37x10^-4

Step-by-step explanation: