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4vir4ik [10]
3 years ago
14

A curb is 4 inches high. The ramp from the sidewalk yo the street follows the same guidelines as other Ramos (no more than 4.8 d

egrees, so a 1:12 ratio of vertical to horizontal). What is the horizontal distance for a ramp with a 4 inch vertical distance?
​
Mathematics
1 answer:
Effectus [21]3 years ago
4 0

Answer:

<h2>48 inches.</h2>

Step-by-step explanation:

Givens

  • The height of a curb is 4 inches. So, the ramp has a height of 4 inches.
  • The ratio between vertical and horizontal distance of the ramp is 1:12.

Accoriding to the given ration, one unit of vertical distance is equivalent to 12 units of horizontal distance. So, the horizontal distance is

h=12(4 \ in)=48 \ in

Therefore, the horizontal distance is 48 inches.

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Find the​ fourth-degree polynomial function with zeros 4​, -4, 4i ​, and -4i . Write the function in factored form.
Iteru [2.4K]

Given:

A fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i .

To find:

The fourth-degree polynomial  function in factored form.

Solution:

The factor for of nth degree polynomial is:

P(x)=(x-a_1)(x-a_2)...(x-a_n)

Where, a_1,a_2,...,a_n are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i. So, the factor form of given polynomial is:

P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))

P(x)=(x-4)(x+4)(x-4i)(x+4i)

P(x)=(x-4)(x+4)(x^2-(4i)^2)           [\because a^2-b^2=(a-b)(a+b)]

On further simplification, we get

P(x)=(x-4)(x+4)(x^2-4^2i^2)

P(x)=(x-4)(x+4)(x^2+16)                [\because i^2=-1]

Therefore, the required fourth degree polynomial is P(x)=(x-4)(x+4)(x^2+16).

6 0
2 years ago
Hello everyone I need help with this worksheet it's ten problems answer the ones you know for me please it's homework.
Fed [463]

Answer:

1. Slope = -4/5

2. Slope = 2/3

3. Slope = 0

4. Slope = 3/-4

5. Slope = 7/-12

6. Slope = 1/2

7. Slope = -2/0 --> Undefined

8. Slope = 3/-2

9. Slope = 5/-4

10. Slope = 4/3

Step-by-step explanation:

Ok so I'm assuming that you want the slope for all the two points. Basically, the formula for slope is rise/run, or y2-y1/x2-x1. Solve using that. For example, for number 1, it would be:

10-2/1-11 = 8/-10 = -4/5

5 0
2 years ago
What are the solutions to<br> f (x) = x2 + 5x – 24
maxonik [38]
Answer: d/dx (f(x)) = 2x + 5
Ok done. Thank to me :>

6 0
3 years ago
CAN SOMEONE PLZ HELP ME
cestrela7 [59]

Answer:

the first one

4*10^12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write 171 miles in 3 hours as a unit rate
rewona [7]
171 ÷ 3 = 57

So, that means it's 57 mph
7 0
3 years ago
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