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n200080 [17]
3 years ago
14

Factorise : x^2+x-72 Step by Step​

Mathematics
2 answers:
Ksivusya [100]3 years ago
5 0

Answer:

              x² + x - 72 = (x + 9)(x - 8)

Step-by-step explanation:

x^2+x-72\quad \implies\quad a=1\,,\quad b=1\,,\quad c=-72\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-1\pm\sqrt{1^2-4\cdot1\cdot(-72)}}{2\cdot1}=\dfrac{-1\pm\sqrt{1+288}}{2}=\dfrac{17\pm\sqrt{289}}{2}\\\\x_1=\dfrac{-1-17}{2}=-9\quad,\qquad x_2=\dfrac{-1+17}{2}=8\\\\\\x^2+x-72=(x-(-9))(x-8)=(x+9)(x-8)

or:

     x² + x - 72 =

= x² + 9x - 8x - 72 =

= x(x + 9) - 8(x + 9) =

= (x + 9)(x - 8)

Ivan3 years ago
4 0

Answer:

(x + 9)(x - 8)

Step-by-step explanation:

f(x) = x^2 + x - 72

     = x^2 - 8x + 9x - 72

     = (x^2 - 8x) + (9x - 72)

     = x(x - 8) + 9(x - 8)

     = (x + 9)(x - 8)

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The angle of a triangle have a sum of how many degrees
11Alexandr11 [23.1K]

Answer:

The sum of the interior angles in a triangle is always 180. So, if two angles sum up to 136 degrees, the remaining angle must complement to 180, and it must be

180-136=44

degrees

Step-by-step explanation:

4 0
3 years ago
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What is the distance from 3, 5) to 4.-12)?​
enyata [817]

Answer:

Step-by-step explanation:

P1 = (3.5,5)  in the form  (x1,y1)

P2 = (3.5,-12) in the form (x2,y2)

dist = sqrt[ (x2 - x1)^2 + (y2-y1)^2 ]

dist = sqrt[ (3.5-3.5)^2 + (-12-5)^2 ]

dist = sqrt [ 0  -17^2]

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4 0
2 years ago
Xian plans to run 14 laps around a track, each lap is 400 yards which would make his run a total of 5600 yards. So far Xian has
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Step-by-step explanation:

because 4 laps is 1600+ the 80 which is a 1/5 of 400 causing it to be .2

6 0
2 years ago
PLS HELP! YOU WILL GET A GOOD DEED:*
nasty-shy [4]

Answer:

History test

Step-by-step explanation:

28 divided by 40 is 0.7 which equals 70 percent.

39 divided by 60 is 65 percent .

4 0
3 years ago
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Maria solved the equation. 4 (3 x minus 8) minus 4 = 24. 12 x minus 32 minus 4 = 24. 12 x minus 36 = 24. 12 x = 60. x = 5. What
Mrac [35]

Answer:

1. Distributive property.

2. Combining like terms.

3. Addition property of equality.

4. Division property of equality.

Step-by-step explanation:

- The Distributive property states that:

a(b+c)=ab+ac\\\\a(b-c)=ab-ab

- The Addition property of equality states that:

If\ a=b\ then\ a+c=b+c

- The Subtraction property of equality states that:

If\ a=b\ then\ a-c=b-c

- The Multiplication property of equality states that:

If\ a=b\ then\ a*c=b*c

- The Division property of equality states that:

If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}

Given the following equation:

4(3x-8)-4=24

We can identify that the methods Maria used to solve it and the order, are:

1. Distributive property:

(4)(3x)-(4)(8)-4=24\\\\12x-32-4=24

2. Combining (or adding) like terms:

12x-36=24

3. Addition property of equality, because she added 36 to both sides of the equation:

12x-36+36=24+36\\\\12x=60

4. Division property of equality, because she divided both sides of the equation by 12:

\frac{12x}{12}=\frac{60}{12}\\\\x=5

7 0
3 years ago
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