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Advocard [28]
3 years ago
10

Please help for brainliest!

Mathematics
2 answers:
notka56 [123]3 years ago
6 0

Answer:

m = 1/2

Step-by-step explanation:

To find the slope, all you have to do is find the rise and divide it by the run. Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point.

You can pick any two points on the line. Let's say I choose (10, 5) and (20, 10).

Let's look at the y coordinates first. You have 5 and 10. To get from 5 to 10,  you have to go up 5 units. Your rise is 5. Let's look at the x coordinates now. To get from 10 to 20, you have to go up 10 units. Your run is 10.

As I said before, the slope is rise/run. In this case, we have 5/10, which can be simplified to 1/2. Your slope is 1/2.

Note that any two points on this would give you the same answer of 1/2 for this line. If I had picked (30, 15) and (70, 35), I would still get 1/2.

Hope this helped!

enyata [817]3 years ago
5 0

Answer:

\displaystyle \frac{1}{2}

Step-by-step explanation:

\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m

* [<em>70</em>, <em>35</em>] and [<em>80</em>, <em>40</em>] for instanse

\displaystyle \frac{-40 + 35}{-80 + 70} = \frac{-5}{-10} = \frac{1}{2}

I am joyous to assist you at any time.

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Samuel is preventing a boulder from rolling down a hill with a slope of 35°. If the boulder
Rashid [163]

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)

This weight has a direction that is vertical, pointing downwards.

Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

(90° - 35°)

(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2

This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.

3 0
3 years ago
Given a leading coefficient of 8, polynomial roots of 1 &amp; 2, and the known point on the graph (4,5). Write an equation that
m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

y=a(x-c_1)(x-c_2)...(x-c_n)

Where, a is a constant and c_1,c_2,...,c_n are the roots of the polynomial.

Polynomial roots are 1 and 2. So, (x-1) and (x-2) are the factors of the polynomial.

Let the third root of the polynomial by c, then (x-c) is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

y=8(x-1)(x-2)(x-c)

The graph passes through the point (4,5). Putting x=4,y=5, we get

5=8(4-1)(4-2)(4-c)

5=8(3)(2)(4-c)

5=48(4-c)

Divide both sides by 48.

\dfrac{5}{48}=4-c

c=4-\dfrac{5}{48}

c=\dfrac{192-5}{48}

c=\dfrac{187}{48}

Therefore, the 3rd root on the polynomial is \dfrac{187}{48}.

8 0
2 years ago
if a shape is a regular pentagon with five sides, which of the following must be true? Check all that apply
julsineya [31]

Answer:

A. It has reflectional symmetry

B. It is symmetrical

D. It has five lines of symmetry

Step-by-step explanation:

we know that

A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides

Every regular polygon has reflectional symmetry

Regular polygons are symmetrical

therefore

A. It has reflectional symmetry ------> Is true

B. It is symmetrical -----> Is true

C. It has exactly one line of symmetry ----> Is false

D. It has five lines of symmetry -----> Is true

4 0
3 years ago
Read 2 more answers
To solve the inequality 9x &gt;-4, the inequality sign must be reversed.
Anna35 [415]

Answer:

false

Step-by-step explanation:

you only need to reverse the sign when you are dividing by a negative number

7 0
3 years ago
Read 2 more answers
Find the length of the hypotenuse in the figure shown below.
slega [8]

Answer:

the answer is b.13 meters

Step-by-step explanation:

a²+b²=c²

3 0
2 years ago
Read 2 more answers
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