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3 years ago

10

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of

the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline? answer is 3

2 answers:

harkovskaia [24]3 years ago

4 0

Let A(4,12) and B(6,18)

RATE OF CHANGE = m = (y₂ - y₁) / (x₂ - x₁) = (18-12)/ (6-4)

m= 6/2 or m = 3

schepotkina [342]3 years ago

4 0

Answer:

Rate of change of the ramp's incline is 3.

Step-by-step explanation:

Since the points on ramp F and G have the coordinates (4, 12) and (6, 18)

Now the slope of the ramp passing through two points will be the rate of change of the ramp's incline.

Slope = $\frac{y-y'}{x-x'}$

= $\frac{18-12}{6-4}$

= $\frac{6}{2}=3$

Therefore, rate of change of the ramp's incline is 3.

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Solve the following absolute value equations. Show the solution set and check your answers. |0.3-3/5k|-0.4=1.2

9966 [12]

Answer:

**The equation is not clear, so I have provided both options**

<h3><u>Option 1</u></h3>

$\left|0.3-\dfrac{3}{5}k\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5}k\right|=1.6$

<u>Solution 1</u>

$\implies 0.3-\dfrac{3}{5}k=1.6$

$\implies -\dfrac{3}{5}k=1.3$

$\implies k=-\dfrac{13}{6}$

<u>Solution 2</u>

$\implies -(0.3-\dfrac{3}{5}k)=1.6$

$\implies -0.3+\dfrac{3}{5}k=1.6$

$\implies \dfrac{3}{5}k=1.9$

$\implies k=\dfrac{19}{6}$

<h3><u>Option 2</u></h3>

$\left|0.3-\dfrac{3}{5k}\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5k}\right|=1.6$

<u>Solution 1</u>

$\implies 0.3-\dfrac{3}{5k}=1.6$

$\implies -\dfrac{3}{5k}=1.3$

$\implies -3=6.5k$

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<u>Solution 2</u>

$\implies -(0.3-\dfrac{3}{5k})=1.6$

$\implies -0.3+\dfrac{3}{5k}=1.6$

$\implies \dfrac{3}{5k}=1.9$

$\implies 3=9.5k$

$\implies k=\dfrac{6}{19}$

6 0

2 years ago

Use substitution to solve the system.<br> -5x + 3y = 19<br> x = 3y - 11

telo118 [61]

Answer:

x = -2

y = 3

Step-by-step explanation:

-5x + 3y = 19

x = 3y - 11

-5x + 3y = 19

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-15y + 55 + 3y = 19

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-12y + 55 = 19

-12y = 19 - 55

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y = -36/-12

<u>y = 3</u>

x = 3y - 11

x = 3(3) - 11

x = 9 - 11

<u>x = -2</u>

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Answer:

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luda_lava [24]

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Step-by-step explanation:

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Trava [24]

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Step-by-step explanation:

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