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Degger [83]
3 years ago
6

What is the slope of the line that passes through the points (-10, -8) and

Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer:

-4

Step-by-step explanation:

(x1,y1)=(-10, -8)

(x2,y2)=(-8, -16)

Slope=(y2-y1)/(x2-x1)=(-16+8)/(-8+10)=-8/2=-4

or,

If you take (x1,y1)=(-8, -16), (x2,y2)=(-10, -8)

Slope=(y2-y1)/(x2-x1)=(-8+16)/(-10+8)=8/-2=-4

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What is the value of 3 x 3 + 4 x 4?<br> 52<br> 25<br> 84<br> Option 4
natali 33 [55]
Ok so 3x3=9 and 4x4=16
So plus the two sums together
9+16=25
6 0
3 years ago
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Simplify the expression. x2 + x - 6 /x2 - 4 · x2 - 9/ x2 + 6x + 9
Agata [3.3K]

we are given

\frac{(x^2+x-6)}{(x^2-4)}*\frac{(x^2-9)}{(x^2+6x+9)}

step-1: Factor terms

x^2+x-6=(x+3)(x-2)

x^2+6x+9=(x+3)^2

x^2-4=(x-2)(x+2)

now, we can plug these values

and we get

=\frac{(x+3)(x-2)}{(x-2)(x+2)}*\frac{(x-3)(x+3)}{(x+3)^2}

step-2: Cancel common terms

we get

=\frac{(x+3)}{(x+2)}*\frac{(x-3)}{(x+3)}

we can again cancel numerator and denominator

and we get

=\frac{(x-3)}{(x+2)}.............Answer


7 0
4 years ago
A car travels at 49 km/hour how far does it travel in a 12 hour day​
marta [7]

Answer:   2.88 km.

Step-by-step explanation:

We will discuss here how to find the distance when speed and time are given.

When speed and time are given, the distance travelled is calculated by using the formula:

Distance = Speed × Time

The unit of time in speed should be the same as that of the given time.

Solved examples to calculate distance when speed and time are given:

1. How much distance will be covered in 5 hrs at a speed of 55 km per hour?

Solution:

Distance covered in 1 hour = 55 km.

We know, Distance = Speed × Time

Distance covered in 5 hrs = 55 × 5

                                  = 275 km.

Therefore, distance covered in 5 hrs = 275 km.

2. A bus travels at a speed of 45 km/hour. How far will it travel in 36 minutes?

Solution:

Speed = 45 km/hour

Time = 36 minutes

      = 36/60 Hour (Since we know, 1 hour = 60 minutes)

      = 3/5 hour

Distance = speed × time

           = 45 × (3/5) km

           = (45 × 3)/5 km

           = 27 km.

3. How much distance will be covered in 7 hrs at a speed of 62 km per hour?

Solution:

Distance covered in 1 hour = 62 km.

We know, Distance = Speed × Time

Distance covered in 7 hrs = 62 × 7

                                     = 434 km.

Therefore, distance covered in 7 hrs = 434 km.

4. Mike drives his car at a speed of 70 km per hour. How much distance will he cover in 3 hours 30 minutes?

Solution:

Speed of the car = 70 km/hr

Time taken         = 3 hours 30 minutes

                        = 3 ½ hours.

Distance covered in 1 hour = 70 km

Distance covered in 3 ½ hour = 70 × 3 ½ km

                                          = 70 × 7/2 km

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5. How much distance will be covered in 1 ½ hour at a speed of 32 m per minute?

Solution:

[1 ½ hr = (60 + 30) minutes = 90 minutes].

Distance covered in 1 minute = 32 metres.

Distance covered in 90 minutes = 32 × 90 = 2880 m.

We know, 1 m = 1/1000 km.

                     = 2880/1000 km.

                     = 2.88 km.

Hope this helps!

5 0
2 years ago
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stiv31 [10]
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4 0
3 years ago
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in 2015, the population of a small town in florida is 95. of the population increases 15% per year, approximately what will the
PIT_PIT [208]
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