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Stels [109]
3 years ago
12

X^2 - 51 = 14x

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

Step-by-step explanation:

x² - 14x - 51 = 0

(x² - 17x) + (3x - 51) = 0

x(x - 17) + 3(x - 17) = 0

(x + 3) (x - 17) = 0

x + 3 = 0 eq1

x = 0 - 3

x = -3

x - 17 = 0 eq1

x = 0 + 17

x = 17

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2.) Write the probability as a fraction in simplest form. P (consonant) *
ValentinkaMS [17]

Answer:

2/3

Step-by-step explanation:

There are 6 different letters and 4 of them are consonants, so:

4/6 simplify it by 2:

2/3

4 0
3 years ago
Read 2 more answers
In equilateral ΔABC, AD, BE, and CF are medians. If FO = 4, then AE = A) 4 B) 4 3 C) 8 D) 12
vampirchik [111]

Firstly, we need to draw triangle

we know that

O is a centroid

and centroid divides median into 2:1

so,

\frac{CO}{FO} =\frac{2}{1}

we have FO=4

so, we can plug it

\frac{CO}{4} =\frac{2}{1}

CO=8

now, we can find CF

CF=OC+FO

CF=8+4

CF=12

now, we can see triangle ACF is a right angled triangle

so, we can use pythagoras theorem

x^2=(\frac{x}{2} )^2+12^2

now, we can solve for x

\frac{3x^2}{4}=144

x^2=192

x=8\sqrt{3}

Since, it is equilateral triangle

so,

AC=x=8\sqrt{3}

we know that

E is a mid-point

so,

AE=\frac{AC}{2}

now, we can plug values

AE=\frac{8\sqrt{3}}{2}

AE=4\sqrt{3}................Answer


5 0
3 years ago
Read 2 more answers
Point e is between points d and f. If DE=x-4,EF=2x+5 and DF=4x-8, find x number 17 help please
Murljashka [212]
DF =DE + EF
4x-8 = x-4 + 2x+5 
4x - 8 = 3x + 1
4x - 3x = 1 + 8
x = 9

4 0
3 years ago
Read 2 more answers
Which set of numbers is included in the solution set of the compound inequality? {–7, 5, 18, 24, 32} {–9, 7, 15, 22, 26} {16, 17
Vesnalui [34]

Answer:

{-7,5,18,24,32}

Step-by-step explanation:

Let's verify all cases to determine the solution to the problem.

CASE A) we have

-9,7,15,22,26

The number 22 is not included in the solution set of the compound inequality.

CASE B) we have

-7,5,18,24,32

The number 22 is not included in the solution set of the compound inequality.

CASE C) we have

16,17,22,23,24

The number 22 is not included in the solution set of the compound inequality.

CASE D) we have

18,19,20,21,22

The numbers 19,20,21,22 are not included in the solution set of the compound inequality.

4 0
4 years ago
Read 2 more answers
Evaluate the expression -2cd if a = -8 b = 2 c = -5 d = 6
Elza [17]

Answer:

60

Step-by-step explanation:

Replace c and d with -5 and 6.

-2*-5*6

-2*-5=10

10*6=60

The expression is equal to 60.

-hope it helps

5 0
3 years ago
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