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Galina-37 [17]
4 years ago
11

Hey can you please help me posted picture of question :)

Mathematics
2 answers:
otez555 [7]4 years ago
4 0
Answer:
The solutions are -3 and -6

Explanation:
First we would need to put the equation in standard form which is:
ax² + bx + c = 0
This can be done as follows:
x² + 18 = -9x
x² + 9x + 18 = 0
By comparison, we would find that:
a = 1
b = 9
c = 18

Now, to get the roots, we would use the quadratic formula shown in the attached image.

By substitution, we would find that:
either x = \frac{-9+ \sqrt{(9)^2-4(1)(18)} }{2(1)} = -3

or x = \frac{-9- \sqrt{(9)^2-4(1)(18)} }{2(1)} = -6

Hope this helps :)

soldi70 [24.7K]4 years ago
4 0
The solutioms for the equation are a and b or -3 & -6
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three numbers are in an arithmetic progression. Their sum is 3 and the sum of their squares is 11. what are the three numbers
Vlad [161]

The three numbers are 12, 18 and 24

Arithmetic progression

Let the 3 number in arithmetic progression be:

a-d, d, a+d ...

If their sum is 3, then;

a-d+d+a+d = 3

2a + d = 3 ........... 1

If the sum of their squares is 11, then;

(a-d)² + d² + (a+d)² = 11

a²-2ad+d²+d²+a²+2ad+d²  11

2a²+3d² = 11 ....... 2

Solving the equations simultaneously, d = 6 and a = 12

First-term = 12

second term = 18

Thirs term = 24

Hence the three numbers are 12, 18 and 24

Hope this helps you!!!!!! :D

5 0
2 years ago
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Is -4 greater then or less then -5​
Annette [7]
-4 is greater than -5
5 0
3 years ago
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Please help me asap<br>​
mojhsa [17]

Answer C

Step-by-step explanation:

6 0
3 years ago
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Segments AB, EF, and CD intersect at point C, and angle ACD is a right angle. Find the value of g. Please help me
iogann1982 [59]

Answer:

37 degree

Step-by-step explanation:

AB = 180 it is a straight line

ACD = 90 degree

DE+ DCB are complimentary angles they add up to 90 they dont need to be next to each other.

DE = 53 deg

DCB = 90-53= 37 degree

g = 37 and F is its vertical angle as they share the same corner point and lay opposite each other and each have same angle 37 degree.

8 0
3 years ago
​A college student only saves quarters and dimes in her piggy bank. She empties out her piggy bank at the end of each month. Thi
Nadusha1986 [10]
For this case, the first thing we must do is define variables:
 x = number of quarters
 y = number of dimes
 We now write the system of equations:
 x + y = 28
 0.25x + 0.10y = 4.05
 Solving the system of equations we have:
 x = 8.33
 y = 19.66
 Rounding:
 x = 8
 y = 20
 Answer:
 
the college student has:
 
8 quarters
 
20 dimes
8 0
3 years ago
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