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Tema [17]
2 years ago
14

Find the slope of line

Mathematics
2 answers:
tamaranim1 [39]2 years ago
8 0

Just take the coordinates of both those red dots and use the slope formula: y2-y1 all divided by x2-x1. that should give you slope


zheka24 [161]2 years ago
3 0

The formula to find the slope of a line is\frac{y_{2}-y_{1}}{x_{2}-x_{1}}, in other words <em>the y coordinate of the second point minus the y coordinate of the first point over the x coordinate of the second point minus the x coordinate of the first point</em>.  


On this graph, the two points given are (-3,4) and (1,-2).  With this, we can determine x_{1} , x_{2} , y_{1} , and y_{2}

x_{1}=-3 \\ x_{2}=1\\ y_{1}=4\\ y_{2}=-2


Plug these values correctly into the slope formula, and you can find your answer.

\frac{-2-4}{1--3} =\frac{-6}{4} =\frac{-3}{2}


The slope of the line is-3/2.


Hope this helps!

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A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three int
Slav-nsk [51]
By definition we have to:
 Acute triangle - It is a triangle that has all acute angles. An acute angle is one whose degree of measurement is less than 90.
 Therefore, Charlene's definition is correct.
 Charlene said:
 triangle is a triangle whose three interior angles have measures less than 90 °
 Answer:
 C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.
4 0
2 years ago
8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
denpristay [2]

Answer:

38

Step-by-step explanation:

We can express the 8th term as x and the 12th term as y.

This would mean that 8x=12y

Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y

Now we can use this to substitute y with x in the first equation. This would give us:

8x=12(x-8)

Which we can expand and solve:

8x=12x-96

-4x=-96

Therefore x=24

This means the 8th term is 24 and the 12th term is 16 (24-8).

To test if this is correct we can do:

8x24=12x16

Which indeed are equal, both sides multiply to 192.

Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)

24+14=38.

The first term is 38.

Hope this helped!

3 0
2 years ago
If x2 = 30, what is the value of x?
Juli2301 [7.4K]
X^2 = 30
x = +5.48 and x = -5.48
3 0
2 years ago
A 3 kg toy car rests st the top of a 0.45 meter ramp. What is its gravitational potential energy?
salantis [7]
<span>gravitational potential energy : P
Gravity : g
Mass : m
height : h

P = mgh  = 3 x 9.8 x 0.45 = 13.23 Joule

Potential energy is work , from the known formula

W = Fd ( work = force x distance ) 

W = P ( in case of potential energy height change)

F is the force acting on the body in case of ideal ramp , the only force acting is the weight of the body

F = mg ( not just <m> as the force is mg (Newton) gravity effect)

d is the displacement in direction of force, as we have considered the force to be the weight not it's component in direction of the ramp , the change in displacement is the change in height so

d = h 

W = Fd = (F = mg) x (d = h) = mgh 

W = mgh = P


</span>

7 0
2 years ago
An employee who earned $550 a week working 35 hours had her pay increased by 5 percent. Later, her hours were reduced to 30 per
Taya2010 [7]

Answer:

  $495

Step-by-step explanation:

After the 5% raise, her weekly pay was ...

  $550 × 1.05 = $577.50

If she works 35 hours for that pay, her hourly rate is

  $577.50/35 = $16.50

Then, working 30 hours, her weekly pay will be ...

  30 × $16.50 = $495.00

3 0
2 years ago
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