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2 years ago

14

What is the solution of the equation (x -- 5)2 + 3(x - 5) + 9 = 0? Use u substitution and the quadratic formula to solve

1 answer:

Westkost [7]2 years ago

6 0

Answer:

so what I found is x= 16/5

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In order to unload clay easily, the body of a dump truck must be elevated to at least 45°. The body of a dump truck that is 12 f

olga nikolaevna [1]

Assume that the angle is at the rear of the truck bed, and that the length of the truck bed is 12'. Then:

opp side
tan theta = --------------
adj side

becomes:
8 ft
tan theta = --------- = 2/3 = approx. 0.667
12 ft

Then tan theta = 2/3, and arctan (2/3) = 0.589 radian, or 33.7 degrees.

This is less than 45 deg, so the answer is NO, the clay will not pour out easily.

7 0

2 years ago

3.5(x + 2) - 6.5 - 2.5(x - 4)

Inga [223]

Your right...........

4 0

2 years ago

What is the slope of the line that goes through the points (-4, 5) and (6, 2)?

muminat

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Answer: $\textsf{-3/10}$

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Given: $\textsf{Points (-4, 5) and (6, 2)}$

Find: $\textsf{Slope of the line that goes between the points}$

Solution: In order to determine the slope of a line we need to follow the slope formula to determine it. Just plug in the values and simplify.

<u>Plug in the values</u>

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{2 - 5}{6 - (-4)}$

<u>Simplify the expression</u>

$m = \frac{-3}{6 + 4}$

$m = -\frac{3}{10}$

Using those two points we were able to determine that the slope of the line that goes through the points is -3/10.

8 0

1 year ago

Consider the following recursively defined sequence a1 = 2 an = an-1 – 3 for n >= 2 In this question, we will prove that an =

Rudiy27

Answer with Step-by-step explanation:

We are given that

$a_1=2$

$a_n=a_{n-1}-3$ for $for [tex]n\geq2$

We have to prove that $a_n=-3n+5$ for all n equal and greater than 1

proof: Let P(n)= $a_n=-3n+5$ for all n equals to and greater than 1

We prove that for all n there exists Z,if n greater and equals to zero

Base case : The base case is n=1

Substitute n=1 then we get

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

This is true for n=1

Induction step : suppose that P(n) is true for n=k where k greater than 1

Then P(k)=-3k+5

Now, we shall prove that for n=k+1, P(n) is true for n=k+1

P(k+1)=-3(k+1)+5

P(k+1)=-3k-3+5=-3k+5-3

$P(k+1)=a_k-3$

$a_{k+1}=a_k-3$

We are given that $a_n=a_{n-1}-3$ for n equal to and greater than 2

Therefore, P(n) is true for n=k+1

Hence, P(n)=-3n+5 for all n equal and greater than 1

3 0

2 years ago

The Tunnel of Fear ride climbs straight up to its peak 505050 meters above the ground. Then, it drops 656565 meters into an unde

ale4655 [162]

Answer:

Okay I'm not sure this is correct, but I would like to try.

I think the answer is -15.

Step-by-step explanation:

I'm not to good at doing these problems, what I did was do 50 - 65 = ?

and I got -15.

I hope I helped! :)

7 0

2 years ago