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Goshia [24]
3 years ago
12

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

Mathematics
2 answers:
evablogger [386]3 years ago
7 0
Answer:
The roots are -3+√6 and -3-√6

Explanation:
First, we would need to put the equation in standard form which is as follows:
ax² + bx + c = 0
This can be done as follows:
x² + 6x + 9 - 6 = 0
x² + 6x + 3 = 0

By comparison:
a = 1
b = 6
c = 3

Now, to get the roots, we will need to used the quadratic formula shown in the attached image.

By substitution, we would find that:
either x = -3 + √6
or x = -3 - √6

Hope this helps :)

mixas84 [53]3 years ago
4 0
The roots are letter A and B. 
You can solve it by using quadratic formula
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7 hours

Step-by-step explanation:

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Which combination of integers can be used to generate the Pythagorean triple (5,12,13)
Kitty [74]

Answer:

x=3 and y=2

Step-by-step explanation:

The pythagorean triples are generated by two integrers x and y that can be found by solving the following system of equations:

\left \{ {{x^{2}-y^{2}=5}\atop {2xy=12}} \atop {x^{2}+y^{2}=13}}\right.

Solve the system of equations, and we get that the solution is x=3 and y=2.

Therefore, the combination of integrers that ca be used to generate the pythagorea triple are: x=3 and y=2

3 0
3 years ago
Read 2 more answers
What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
lbvjy [14]

Answer:

The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)

Step-by-step explanation:

Focus: F=(3,1)=(xf, yf)→xf=3, yf=1

Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:

f(x)=[1 / (4p)] (x-h)^2+k

where Vertex: V=(h,k)

The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:

Vertex is the midpoint between (3,5) and (3,1):

h=(3+3)/2→h=6/2→h=3

k=(5+1)/2→k=6/2→k=3

Vertex: V=(h,k)→V=(3,3)

p=yf-k→p=1-3→p=-2

Replacing the values in the equation:

f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3

f(x)=[ 1 / (-8) ] (x-3)^2 + 3

f(x)= - (1/8) (x-3)^2 + 3

4 0
3 years ago
A and B are independent events if...
OlgaM077 [116]

Answer:

(C) The probability of buying bread and cheese is 0.12

Step-by-step explanation:

P(Event A) = 0.6

P(Event B) = 0.2

If Event A and Event B are independent,

Then P(Event A and Event B) = 0.6 x 0.2 = 0.12

7 0
3 years ago
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