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2 years ago

Write an equation in slope-intercept form for the line that passes through (1,9) and (3,5).

Mathematics

2 answers:

kozerog [31]2 years ago

8 0

Answer:

The answer to your question is y = -2x + 11

Step-by-step explanation:

A (1, 9)

B (3, 5)

- Find the slope

$m = \frac{y2 - y1}{x2 - x1}$

$m = \frac{5 - 9}{3 - 1}$

$m = \frac{-4}{2}$

m = - 2

- Find the line equation

y - y1 = m (x - x1)

y - 5 = -2(x - 3)

y - 5 = -2x + 6

y = -2x + 6 + 5

y = -2x + 11

Shtirlitz [24]2 years ago

7 0

Answer: y=-2x+11

Find the slope by: y1-y2/x1-x2

Plug in the number so
9-5/1-3 = 4/-2 =-2

So the slope is -2
Y=-2x+b
9=-2(1) +b
9=-2+b
b=11

Answer:Y=-2x+11

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Company XYZ has 34 employees in the Finance Department, 45 technicians, and 32 in the Engineering Department. The HR Department

Crank

Answer:

66.7%

Step-by-step explanation:

The total number of complaints were:

5 + 3 + 7 = 15

The percent that came from either technicians or the Finance Department is:

(5 + 3) / 15 × 100% = 66.7%

7 0

2 years ago

Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr

drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

$AC^2= AB^2+BC^2$

$\Rightarrow (x+3)^2=x^2+8^2$

$\Rightarrow x^2+6x+9=x^2+64$

$\Rightarrow 6x=64-9=55$

$\Rightarrow x=55/6=9.17$ chi.

Hence, the height of the pole, $AB=x=9.17$ chi,

and the length of the rope, $x+3=9.17+3=12.17$ chi.

8 0

2 years ago

I NEED HELP NOW PLS<br><br> PLS THANK YOU PLS

Murrr4er [49]

Answer:

It's C

Step-by-step explanation:

It's C because when you find the least common denominator of 3 and 5 it's 15. So then you convert the fractions to get 6/15+5/15=11/15, which leaves 4/15 left.

4 0

2 years ago

Read 2 more answers

In a classroom of 28 students: 19 of the students have brown eyes 13 of the students wear glasses 7 of the students do not have

V125BC [204]

Total students = 28

Students with brown eyes = 19

students wear glasses = 13

Not brown eyes or no glasses = 7

Not brown eyes = 28 - 19 = 9

Not wearing glasses = 28 - 13 = 15

Not brown eyes and wearing glasses = 15 - 9 = 6

Brown eyes and wearing glasses = 13 - 6 = 7 <==== answer

7 0

2 years ago

Read 2 more answers

missy bought 4 bags of chocolates. each bag had 8 pieces of chocolate in it . after her kids ate 6 of the chocolate missy packed

Novay_Z [31]

Answer:

There will be 2 numbers of individual bags of chocolates left with Missy.

Step-by-step explanation:

Missy bought 4 bags of chocolates and there are 8 pieces of chocolates in each bag.

Therefore, there was a total (4× 8) = 32 chocolates.

Now, her kids ate 6 of the chocolates.

So, there remains (32 - 6) = 26 chocolates left.

If Missy packed the remaining chocolates into individual bags with 13 chocolates in each bag, then there will be $\frac{26}{13} =2$ numbers of individual bags of chocolates left with Missy. (Answer)

5 0

3 years ago