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adell [148]
3 years ago
5

How to find the gradient of line segment joining each pair of points?

Mathematics
1 answer:
yarga [219]3 years ago
6 0

Answer:

2

1/3

Step-by-step explanation:

A(xA, yA) = A (3,1)

B(xB,yB)=B(5,5)

the gradient=(yB-yA)/ (xB-xA)=(5-1)/(5-3)=4/2=2

C(4,7),D(10,9)

the gradient=(yD-yC)/(xD-xC)=(9-7)/(10-4)=2/6=1/3

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ch4aika [34]
No, she cannot afford the car. 
The total would be $176, and she only has $160.

Hope this helps!!
~Kiwi
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3 years ago
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A cleaning company charges a fixed amount for a house call and a second amount for each room it cleans. The total cost to clean
yanalaym [24]

Answer:

$110

Step-by-step explanation:

Let the fixed amount charged be f and the amount charged to clean a room be r.

To clean six rooms , the company would charge the following, the fixed amount for the call plus the amount charged per room multiplied by 6 which of course is 6r.

Writing this in equation form,

f + 6r = 250

In likewise manner, same applies for 8 rooms.

this gives f + 8r = 320

We now have 2 equations that we will need to solve simultaneously

f + 6r = 250........(i)

f + 8r = 320........(ii)

We subtract equation ii from I to yield

2r = 70, hence r = 70/2 = 35.

We now substitute this in equation 1

f + 6(35) = 250

f + 210 = 250

f = 250 - 210 = 40

Hence, we now know that the amount charged per call is $40 while the amount charged to clean a room is $35.

We now calculate the amount charged by the company to clean 2 rooms.

This is mathematically = f + 2r

40 + 2(35) = $110.

6 0
3 years ago
About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many would you expect to have a personal compu
Aleks04 [339]
This can be solved using a ratio. The ratio is: 13/20=x/60 this would then become 20x= 780  divide both sides by 20 and you get x=39. the answer is 39
5 0
3 years ago
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What is the standard form of the equation of the circle?
lisabon 2012 [21]
The standard form of the equation of a circle is:
(x - a) {}^{2}  + (y - b) {}^{2}  = r {}^{2}
Where the point (a,b) represents the centre and r is the radius. So, given your information, the equation will be:
{(x + 4)}^{2}  +  {(y + 3)}^{2}  = 25
4 0
3 years ago
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The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.
Degger [83]

Answer:

<h2><u><em>30x² − 23x − 14</em></u></h2>

Explanation:

  • Area = Length · Width

Length: (6x - 7)

Width: (5x + 2)

  • Create An Equation

(6x - 7) (5x + 2)

= (6x + −7)(5x + 2)

(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)

= 30x² + 12x − 35x − 14

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- PNW

7 0
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