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devlian [24]
3 years ago
8

Expand & simplify (x+3) (x+6)

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

x^{2} +9x+18

Explanation:

x(x+6)+3(x+6)\\x^{2} +6x+3(x+6)\\x^{2} +6x+3x+18\\x^{2}+9x+18

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Please help 14 points !!
Marrrta [24]

Answer:

7

Step-by-step explanation:

7 0
3 years ago
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The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4. Work out the value of k.
BaLLatris [955]

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4.

Gradient is the slope

So the slope of the line joining the points A(3,-5) and B(6,k) is 4

Slope of line joining two points = \frac{y_2-y_1}{x_2-x_1}

A(3,-5) and B(6,k) are (x1,y1)  and (x2,y2)

slope = \frac{y_2-y_1}{x_2-x_1}

slope = \frac{k-(-5)}{6-3}=\frac{k+5)}{3}

We know slope =4

 \frac{k+5)}{3}=4

Cross multiply  and solve for k

k + 5 = 12

k = 7

The value of k = 7

7 0
3 years ago
One side of a triangle is 13 feet shorter than the second side. The third side is 1 feet longer than the second side. The perime
Papessa [141]

Answer:

let second side be x

then first side = x-13

third side= x+1

now

perimeter of triangle = 45

x-13+x+x+1=45

3x=57

x=19

first side = x-13= 19-13=6

third side= x+1=19+1=20

Step-by-step explanation:

4 0
3 years ago
It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petro
Simora [160]

The question is incomplete. Here is the complete question

It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petrol was saved by the end of year 2007 (I) find a fraction of the quantity of diesel saved to the quantity of petrol saved (ii) find the quantity of cng to the quantity of diesel saved

Answer:

(I) 11/70

(II) 1/10

Step-by-step explanation:

Metro trains contain 330,000 tons of CNG

3300 tons of diesel was saved

21000 tons of petrol was saved at the end of 2007

(I) The fraction of the quantity of diesel saved to the quantity of petrol saved can be calculated as follows

= 3300/21000

= 11/70

(II) The fraction of the quantity of CNG saved to the quantity of diesel can be calculated as follows

= 3300/33000

= 1/10

5 0
3 years ago
Which equation has roots at the end of -2 and 3
taurus [48]

Answer:

the answer is c

Step-by-step explanation:

4 0
4 years ago
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