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[tex]m=\frac{y2-y1}{x2-x1}\\ m=\frac{3-8}{9-(-5)}\\\\ m=\frac{-5}{9+5}\\\\ m=\frac{-5}{14}\\\\ m=-\frac{5}{14}\\[/tex]

Therefore, the slope of the line is m = -5/14

Given parameters:

Recommend wheelchari ramp slope  = [tex]\frac{1}{12}[/tex]  

Rise of the new wheel chair ramp  = 22 inches

Horizontal length  = 24feet

Unknown:

Is the ramp steeper than the recommended  = ?

Slope is the ratio of rise to the horizontal distance covered

 Mathematically;

                 Slope = [tex]\frac{Rise}{horizontal distance}[/tex]

Slope of the wheel chair ramp;

                covert 24 feet to inches;

        1 foot = 12 inches

        24 feet  = 24 x `12  = 288inches

Slope  = [tex]\frac{22}{288 }[/tex]   = [tex]\frac{11}{144}[/tex]

The two slopes being compared are;

               [tex]\frac{1}{12}[/tex]  and [tex]\frac{11}{144}[/tex]

The steeper of the first one 1/12. It has a higher slope compared to the second one.

Using the concept of slope, it is found that since the ramp has a lower slope than [tex]\frac{1}{12} = 0.0833[/tex], it is not steeper than the recommended.

The slope is given by the vertical change divided by the horizontal change, that is:

[tex]m = \frac{\Delta_y}{\Delta_x}[/tex]

In this problem, it rises 22 inches over a horizontal length of 24 feet, hence:

[tex]\Delta_y = 22[/tex]

[tex]\Delta_x = 24(12) = 288[/tex]

Hence, the slope is:

[tex]m = \frac{\Delta_y}{\Delta_x} = \frac{22}{288} = 0.0764[/tex]

Which is less than the threshold of [tex]\frac{1}{12} = 0.0833[/tex], hence it is not steeper than the recommended.

A similar problem is given at https://brainly.com/question/16900875

Answer:

Step-by-step explanation:

Minutes is the x axis, and Distance is the y axis.

At 1 minute it looks like Cassie ran much less than 20 yards and Hector ran much further than 20 yards, so Hector started running faster.

Looking at the y axis at 100yards, it looks like Cassie finished at exactly  5 minutes, but Hector only made it to 80 yards. So Cassie won because it was a 100-yrd race.

You can see Hector stopped and rested for 1 minute once he reached 60-yrds. He stopped after 2 minutes.

Answer:

he is correct and smart

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. a whole number greater than one that has exactly two positive factors: one and itself

B. a whole number greater than one that has more than two positive factors

C. a prime number that divides evenly into a given number

D. the largest number that divides evenly into two or more given numbers

E. a number that divides evenly into a given number

Answer:

a-3

b-1

c-2

d-4

e-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function

This is quadratic function  

It reaches the maximum value at vertex, which is calculated by the formula:

Substituting values

y-value of same point is

So maximum height is 294.3 ft

The equation we have is:

[tex]y = { - 16x}^{2 } + 119x + 73[/tex]

This is equation of a parabola that opens down.

To find the maximum point or the maximum height, we need to find the vertex of the parabola.

First, let's define variables:

A will be the coefficient of the x squared.

b is the coefficient of the x and

C is the independent term:

[tex]a = - 16 \\ b = 119 \\ c = 73[/tex]

The vertex of will have the following x coordinate:

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

Substituting the values of a and b:

[tex]x = - \frac{119}{2( - 16)} [/tex]

Solving the operations:

[tex]x = - \frac{119}{ - 32 } \\ x = 3.71875[/tex]

The next step is to substitute this x value into our equation to find the maximum height y:

[tex]y = { - 16x}^{2} + 119x + 73 \\ \\ substituting \: x = 3.71875 \\ \\ y = - 16(3.71875)^{2} + 119(3.71875) + 73[/tex]

Solving the operations:

[tex]y = - 16(13.8291) + 442.49555 + 73 \\ \\ y = 294.23[/tex]

Rounding to the nearest tenth (1 decimal place)

y=294.2

Answer: 294.2 feet.

Answer:

1.50

Step-by-step explanation:

if you look at the placemend of the points when 3 was on the y 2 was on the x. When 1 is on the x the y is 1.5. Sorry if I’m too late

Answer:

The slope is 1

The y-intercept is 2

Step-by-step explanation:

Hope this helps, mind giving me the brainliest? :)

Answer:

You h

Step-by-step explanat

1 is the slope, and 2 is the y intercept. TRUST ME.

Answer:

(f + g)(-2) = 2

Step-by-step explanation:

Step 1: Define

f(x) = 5 - x

g(x) = 2x - 1

Step 2: Find (f + g)(x)

(f + g)(x) = 5 - x + 2x - 1

(f + g)(x) = x + 4

Step 3: Find (f + g)(-2)

(f + g)(-2) = -2 + 4

(f + g)(-2) = 2

Answer:

-1/30

Step-by-step explanation:

This should be correct because I plugged it into a calculator

Answer:

Exact Form:

x=17/2

Decimal Form:

x=8.5

Mixed Number Form:

x=8 1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps :)

Answer:

I'll just answer all three for you. Part A: y=5x+0 Part B: $32.50. Part C: 9 hours and 30 minutes.

Step-by-step explanation:

Part A: The $5 is the independent variable, because it adds every hour. So the equation is y=5x+0, because hse starts with no money at the begginning.

Part B: 5x6.5=32.50.

Part C: 5x9.5=47.50

Answer:

[tex]\theta=25.84^\circ[/tex]

Step-by-step explanation:

Pendulum

The length of the pendulum is 0.4 m or 40 cm. When swinging, it reaches the top height of 4 cm from the bottom. The geometric construction of this situation is shown in the image below.

The right triangle is formed by the length of the pendulum (40 cm), its horizontal displacement, and the vertical height projected by the pendulum.

This last distance is calculated subtracting the total length of the pendulum and the vertical displacement reached in its higher position.

We need to calculate the angle θ, for which we'll use the cosine since we know the adjacent leg and the hypotenuse:

[tex]\displaystyle \cos\theta=\frac{36}{40}=0.9[/tex]

The angle is

[tex]\theta=\cos^{-1}(0.9)=25.84^\circ[/tex]

[tex]\boxed{\theta=25.84^\circ}[/tex]

Answer:

take it step by step

Step-by-step explanation:

good luck

Answer:

It 12 units!!!!

Step-by-step explanation:

-8+8=0

0+4=4

8+4=12!!!

gl ;)

Answer:

The answer is fifteen because 24 divided by 8 is 3 and 5 x 3 is 15

Step-by-step explanation:

Given that the scale of the drawing is

1cm = 25 m

also given that Shawna's trampoline is 3m

on drawing it will be

1cm-----25m

xcm----3m  

cross multiply we have              

x=3/25

x=0.12cm

Also given that  Shawna's garden has the dimensions of 1cm by 1cm

the actual area would be 25m*25m

area= 625m^2

Answer:

The sum of the marked angles = Total angles on the 4 straight lines – Sum of the interior angles of the quadrilateral. Sum of interior angles of polygon of 4 sides = (4 – 2) *1800 =3600

Hence, sum of the marked angles = 4 * 180° – 360° = 720° – 360° = 360°

Step-by-step explanation:

Hope it helps

Answer:

812.04

Step-by-step explanation:

Answer:

812whdbniyqwteyw9q08uehb

Step-by-step explanation:

idkfu

Answer: d

Step-by-step explanation:

Using the linear equation y=mx+b, you are given m (the slope) and b (the y-intercept). m=2 and b=-8. Therefore, y=2x-8

Answer:

$117.36

Step-by-step explanation:

The room is 3 by 2 inches, so to convert this to feet you need to multiply both by 2. This is because the scale is one inch equals two feet.

3 x 2 = 6

2 x 2 = 4

The room is 6 by 4 feet. Find the Area of the room by multiplying these two numbers together

6 x 4 = 24

The room is 24 ft^2. If the carpet costs $4.89 per square foot, just multiply the cost by the area of the room.

24 x 4.89 = 117.36

The cost to carpet the room is $117.36

Answer:

I want to say it is you last option (8, -1)

Step-by-step explanation:

if y = 8

your equation would be

8 = -4x + 4 i combined like terns which would be 8 and 4 so do the opposite  of addition which is subtraction 8 - 4 is 4 then do the same to the 4 to cancel it out so 4 = -4x   so i would think it has to be -1

I want to help i am very sorry if it is wrong i hope this helps.

Answer: Operations properties

Step-by-step explanation:

Operations properties are a series of properties, rules, or laws associated with mathematical operations and equality.

There are 4 operations properties namely: Commutative(applies to addition), Associative (also applies to addition), Distributive (applies to addition and multiplication) and Identity (applies to addition and multiplication).

Answer:

x= -16

Step-by-step explanation:

distribute -2

-2 * 2x =-4x

-2 * 5 = -10

-4x - 10 -3 = -3 (x-1)

distribute -3

-3 * x = -3x

-3 * -1 = 3

-4x - 10 -3 = -3x + 3

combine like terms

-4x -13 = -3x + 3

-4x + 3x = -x

3 + 13 = 16

-x = 16

divide by -1

x = -16

Answer:

x = -16

Step-by-step explanation:

-2(2x + 5) - 3 = -3(x - 1)

-4x - 10 - 3 = -3x + 3

-4x - 13 = -3x + 3

-x = 16

x = -16   <--- This is the answer

Hope this helps!

Answer:

1/3125

Step-by-step explanation:

5^-2-3

=5^-5

=

1/5^5

= 1/3125

Answer:

Step-by-step explanation:

Y=-2/3x-2

I cant truly graph it but the coordinates would be (0,-2) (3,-4) (6,-6) (9,-8)

Answer:

A

Step-by-step explanation:

O = 26.6

P is a right angle so:

P = 90

angles PQO = 180

To determine Q: triangle total - (P + O)

180 - (90 + 26.6)

180 - 116.6 = 63.4

Q = 63.4

To determine side lengths: a^2 + b^2 = c^2

4^2 + b^2 = c^2

*Variable c is always hypotenuse*

Need more information so find either b or c through SOH, CAH, TOA

SOH: sine = opposite/hypotenuse

CAH: cos = adjacent/hypotenuse

TOA: tan = opposite/adjacent

tan26.6/1 = b/4

Cross multiply

1 × b = 4 × tan26.6

b = 4tan26.6

b = 2.003050791

b is about 2

b = PQ

PQ = 2

Plug b value into pythagorean theorm

4^2 + 2^2 = c^2

16 + 4 = c^2

20 = c^2

square root of 20 = square root of c^2

4.47213.... = c

c is about 4.47

c = QO

Answer:

Step-by-step explanation:

∠Q = 180 - 90 - 26.6

∠Q = 63.4°

side PQ

use opp. = tanФ (adj.)

PQ = tan(26.6) x 4

PQ = 2

side QO

use Pythagorean

PQ² = PO² + PQ²

PQ² = 4² + 2²

PQ = [tex]\sqrt{16 + 4}[/tex]

PQ = 4.47

Answer:

12 divided by m

Step-by-step explanation: