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3 years ago

Factorise x^2+11x+18

Mathematics

2 answers:

VashaNatasha [74]3 years ago

7 0

Answer:

(x+9) (x+2)

Step-by-step explanation:

x^2+11x+18

x^2+9x+2x+18

x(x+9)+2(x+9)

(x+9) (x+2)

Semenov [28]3 years ago

4 0

Answer:

(x + 9)(x + 2 )

Step-by-step explanation:

Sum =11

Product = 18

Factors = 9 , 2

When you multiply (9*2 = 18) and when you add (9 +2 = 11).

x² + 11x + 18 = x² + 9x + 2x + (9*2)

=x(x + 9) + 2(x + 9)

= (x + 9)(x + 2 )

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Solutions for 2x^2+18x=20, worth a TON, please only 100% answers ! Thank u !

victus00 [196]

Answer:

The solution of the given quadratic equation is 1 and (-10).

Step-by-step explanation:

$2x^2+18x=20$

$x^2+9x=\frac{20}{2}$

$x^2+9x-10=0$

$ax^2+bx+c=0$

Solving equation by quadratic formula:

Here , a = 1,b = 9, c = (-10)

$D=b^2-4ac=(9)^2-4(1)(-10)=121$

$x=\frac{-b+{\sqrt{D}}}{2a}=\frac{(-9)+\sqrt{121}}{2(1)}=1$

$x=\frac{-b-{\sqrt{D}}}{2a}=\frac{(-9)-\sqrt{121}}{2(1)}=(-10)$

The solution of the given quadratic equation is 1 and (-10).

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3 years ago

We did it! We made it to the end! thanks for helping everyone!

Alecsey [184]

Answer:

12.058

Step-by-step explanation:

You steal one "count" from the 8, and move it to the 7 so you have 12.0587, instead of 12.0578. Then, you are able to take off the 7 from the back.

4 0

2 years ago

Read 2 more answers

Due in 1 hour, plz help

snow_lady [41]

Answer:

1. 12/1= rate of change

Step-by-step explanation:

1 mile= 30 seconds

(1,30)

6 miles= 1 1/2 minutes

6 miles=90seconds

(6,90)

Formula: y2-y1/x2-x1

90-30/6-1

60/5

12/1= rate of change

hope its right

3 0

2 years ago

Bill wants to rent a car.Rental Company A charges $35 per day plus $0.10 per mile driven.Rental Company B charges $25 per day pl

zlopas [31]

Answer:

m = 200 miles

Step-by-step explanation:

Rental Co. A: A(m) = $35 + ($0.10/mile)(m), where m is the number of miles driven

Rental Co. B: B(m) = $25 + ($0.15/mile)(m)

Set these two dollar amounts equal to each other and solve for m:

$25 + ($0.15/mile)m = $35 + ($0.10/mile)(m). Combine like terms, obtaining:

($0.05/mile)m = $10; then m = ($10) / ($0.05/mile), or 200 miles.

The price charged by the two companies would be the same when the car has been driven 200 miles.

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3 years ago

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WINSTONCH [101]

<h2>Answer and Explanation to questions 13,14,15</h2>

13) $\mathbf{\overline{XY}\cong\overline{CD}}$ as given in the question.

14) $\mathbf{\overline{XY}\cong\overline{YZ}}$ Since Y is the midpoint of XZ. So, Y will divide XZ in equal halves into XY and YZ.

15) $\mathbf{\overline{CD}\cong\overline{YZ}}$

$\because\overline{\textrm{XY}}\cong\overline{\textrm{CD}}$ and $\overline{\textrm{XY}}\cong\overline{\textrm{YZ}}$ . So, $\overline{\textrm{CD}}\cong\overline{\textrm{YZ}}$

<h2>Answer and Explanation to questions 16,17,18</h2>

∠3 is supplementary to ∠1 means: ∠3 + ∠1 = 180°

And, according to figure ∠1 + ∠2 = 180° as ∠1 and ∠2 form a straight line.

∠3 + ∠1 = 180° .............(i)

∠1 + ∠2 = 180° .............(ii)

subtracting equation (i) and (ii) will give ∠3 = ∠2 ..........(iii)

15) ∠3 is supplementary to ∠1 as given in the question

16) ∠2 is supplementary to ∠1 as shown be equation (ii)

18) ∠3 ≅ ∠2 as shown by equation (iii)

<h2>Answer and Explanation to questions 19</h2>

∠3 and ∠4 form a straight line. Therefore, ∠3 + ∠4 = 180° .......(i)

∠4 and ∠5 form a straight line. Therefore, ∠4 + ∠5 = 180° .......(ii)

subtracting equation (i) and (ii)

∠3 + ∠4 - (∠4 + ∠5) = 180°-(180°)

∠3 + ∠4 - ∠4 - ∠5 = 180°-180°

∠3 - ∠5 = 0

∴ ∠3 = ∠5 (Hence Proved)

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3 years ago