1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mariarad [96]
4 years ago
13

Last 2 problems that were too difficult for me, please don't get mad at me for sending a lot.

Mathematics
1 answer:
Citrus2011 [14]4 years ago
6 0

Answer:

Question 1:  Slope = \frac{1}{3}  feet

Question 2:  Slope = 4

Step-by-step explanation:

Question 1:

The pitch of a roof is the inclination of that roof. The "slopiness" of the roof. Whether it is steep or not.

To know the pitch, we need to find the "RISE" over "RUN". That means the "height" from ground and the "length" from initial position.

The height is shown in the figure as 4 ft

The length is shown in the figure as 12 ft

The slope is the quotient of it.

Hence,

Slope = 4/12 = 1/3 feet

Question 2:

To find slope from table of points, we need 2 coordinate pairs in the form (x,y). Lets take the first two points.

(1,2)

and

(3,10)

The slope would be the change in y coordinates of both (2nd point y coordinate - 1st point y coordinate) DIVIDED by the change in x coordinates of both (2nd point x coordinate - 1st point x coordinate). So:

Change in y coordinates = 10 - 2 = 8

Change in x coordinates = 3 - 1 = 2

Thus,

Slope = change in y/change in x = 8/2 = 4

Slope = 4

You might be interested in
3/4 divided by 2/3 in simplest form
defon
9/8 because in dividing you multiply by the reciprocal so 3/4 x 3/2= 9/8
6 0
3 years ago
Read 2 more answers
Write a polynomial function of least degree with integral coefficients that has the given zeros. -5, 3i
Virty [35]

Solving for the polynomial function of least degree with integral coefficients whose zeros are -5, 3i

 

We have:
x = -5

Then x + 5 = 0

Therefore one of the factors of the polynomial function is (x + 5)


Also, we have:
x = 3i
Which can be rewritten as:
x = Sqrt(-9)
Square both sides of the equation:
x^2 = -9
x^2 + 9 = 0

Therefore one of the factors of the polynomial function is (x^2 + 9)


The polynomial function has factors: (x + 5)(x^2 + 9)
= x(x^2 + 9) + 5(x^2 + 9)

= x^3 + 9x + 5x^2 = 45

Therefore, x^3 + 5x^2 + 9x – 45 = 0

f(x) = x^3 + 5x^2 + 9x – 45

 

The polynomial function of least degree with integral coefficients that has the given zeros, -5, 3i is f(x) = x^3 + 5x^2 + 9x – 45

5 0
3 years ago
The shadow of a tree measures 25 feet from its base. The angle of elevation to the Sun is 31º How tall is the tree? Round your a
grigory [225]

Answer: 15 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side

Where α is the angle of elevation to the sun, , the opposite side (x) is the height of the tree, and the adjacent side is the length of the shadow.

Replacing with the values given:  

Tan 31 = x /25

Tan 31 (25) =x

x = 15 feet

Feel free to ask for more if needed or if you did not understand something.  

4 0
4 years ago
Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 +
7nadin3 [17]

In Step 6, the equation is ...

  -12 = x - 36

In step 7, the equation is ...

  -12 +36 = x -36 +36

Clearly, to get to step 7, 36 has been added to both sides of the equation.

Adding 36 to both sides of the equation is justified by ...

... C) Addition Property of Equality

_____

<em>More about the addition property of equality</em>

The addition property of equality says you can add the same value to both sides of an equation without changing the values of the variables that make the equation true. Here, x=24 makes the equation of step 6 true, and x=24 makes the equation of step 7 true.

7 0
4 years ago
What is the rule in the input/output table? A) add 4 B) subtract 4 C) divide by 2 D) multiply by 2 | inputs | 4 6 and 8 | output
MissTica

The rule in the input/out is D multiply by 2

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help with this problem
    8·1 answer
  • There is more to choosing a career than simply how much income it can provide. What are some other factors to consider when cont
    10·2 answers
  • Simplify and select the answer with the appropriate restrictions for the variables. (x+3)(x+7)/3x+21
    11·1 answer
  • What is the definition of function?
    5·2 answers
  • Find the product find the product
    5·2 answers
  • Can someone please help me
    8·2 answers
  • Write the sum of 18 + 27 as the product of their GCF and another sum <br><br> (PLEASE HELP)
    6·1 answer
  • PLEASE HELP ITS URGENT
    15·2 answers
  • The function h(t)= -16t2+ 8t+ 4 models the height of a ball over time as it bounces off the edge of a table.
    12·1 answer
  • A new fitness center opens with 120 members. Every month the fitness center increases the number of members by 40 members. How m
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!