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Xelga [282]
3 years ago
9

Factorise the following quadratic equations ​

Mathematics
2 answers:
vesna_86 [32]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

In 13 - 17

Consider the factors of the constant term which sum to give the coefficient of the x- term

13

x² - x - 42 = (x - 7)(x + 6)

15

x² + x - 6 = (x + 3)(x - 2)

17

x² - 27x + 50 = (x - 25)(x - 2)

19

r² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

r² - 25

= r² - 5² = (r - 5)(r + 5)

stich3 [128]3 years ago
4 0

1. (x+6)(x-7)

2. (x+3)(x-2)

3. (x-2)(x-25)

4. (x-5)(x+5)

I hope it helps

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A model of the Saturn V rocket has a scale of 1 inch = 12 feet. If the model rocket is 30 inches tall, how tall was the actual S
Basile [38]

Answer:

360 feets

Step-by-step explanation:

Given :

Scale : 1 inch = 12 feets

This means 1 inch on paper (model) represents 12 feets in real life

If the model height = 30 inches ;

The actual height of the Saturn V rocket will be :

1 inch = 12 feets

30 inch = x

x = (30 * 12)

x = 360 feets

Actual height = 360 feets

4 0
2 years ago
Solve the following for x:
taurus [48]

Step-by-step explanation:

2x(squared)+9x+9=—1

2x(squared)+9x+9+1=0

2x(squared)+9x+10=0

multiply the coefficient of x and 10=2x10=20

2x(squared)+9x+10=0

look for two numbers that when added gives 9and when multiplied gives 20

2x(squared)+5x+4x+10=0

(2x(squared)+5x)+(4x+10)=0

find the number and letters that are common in the equations

x(2x+5)+2(2x+5)=0

(x+2) (2x+5)=0

x+2=0

collect like terms

x=0-2

x=-2

2x+5=0

collect like terms

2x=0-5

2x=-5

divide both sides by 2

2x/2=-5/2

x=-5/2

so x=-2 and -5/2

3 0
2 years ago
Which statement regarding the interior and exterior angles of a triangle is true?
Elena L [17]
Sum of opp. interior angles = ext. angle
sum of all interior angle in a trangle = 180 deg

3 0
3 years ago
Enter the equation of the circle described below.<br><br> Center (3,-2), radius = 5
mart [117]
Apply the standard equation of a circle:

(x-h)²+(y-k)²=R²

== (x-3)²+(y+2)²=25
3 0
3 years ago
Read 2 more answers
What are the determinants for solving this linear system?<br> 5x + 3y = 17<br> −8x − 3y = 9
Ksivusya [100]
For this case we have the following system of equations:
 5x + 3y = 17
 -8x - 3y = 9
 We can rewrite the system like:
 Ax = b
 Where,
 A = [5   3; -8   -3]
 b = [17; 9]
 x = [x; y]
 The determinant of matrix A is given by:
 lAl = ((5) * (- 3)) - ((3) * (- 8))
 lAl = (-15) - (-24)
 lAl = -15 + 24
 lAl = 9
 Answer:
 
The determinant for solving this linear system is:
 
lAl = 9
3 0
2 years ago
Read 2 more answers
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