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Rus_ich [418]
3 years ago
9

which of the following is the equation of a line with a slope of -5/9 and passing through the point (9,6)

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0
Given the slope and a point on the line, use the point-slope formula for the equation of a straight line.

y-6 = (-5/9)(x-9)

This can be put into other forms.  For example, 

             Multiplying all terms by 9 results in   9y - 54 = -5(x-9) = -5x + 45

             Solving for y:  9y - 54 = -5x + 45
                                          +54 =        +54
                                      ---------------------------
                                         9y = -5x + 99

Then y = (-5/9)x + 11.
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3 years ago
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25.
bulgar [2K]

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem, we have that:

  • The angle is of 45º.
  • The vertical distance is the height of h.
  • The horizontal distance is of 3m.

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

\tan{\theta} = \frac{2}{3}

\theta = \arctan{\left(\frac{2}{3}\right)}

\theta = 33.69^\circ

More can be learned about the slope concept at brainly.com/question/18090623

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8 0
1 year ago
Solve -2 = 5p + 3p -8 – 6p
Shalnov [3]

Answer:

P=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2=5p+3p−8−6p

−2=5p+3p+−8+−6p

−2=(5p+3p+−6p)+(−8)(Combine Like Terms)

−2=2p+−8

−2=2p−8

Step 2: Flip the equation.

2p−8=−2

Step 3: Add 8 to both sides.

2p−8+8=−2+8

2p=6

Step 4: Divide both sides by 2.

2p2=62

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3 0
2 years ago
How do i solve this​
Sophie [7]

Step-by-step explanation:

You're given that ΔUVW is similar to ΔYZW.  The tricky part is identifying which sides in ΔUVW correspond to which sides in ΔYZW.

The triangles share point W, so visually rotate one triangle around W until the two triangles align.  That way, you can see that UW and ZW correspond to each other, and VW and YW correspond to each other.

Now you can find the scale:

VW / YW = 5/12

And you can write a proportion to find x:

UW / ZW = VW / YW

x / 64 = 5 / 12

x = 26 ⅔

5 0
3 years ago
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