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2 years ago

How many real solutions does the equation t^2+6t+9=0 have?

Mathematics

1 answer:

AlekseyPX2 years ago

3 0

Answer:

3.3

Step-by-step explanation:

Solving t2-6t+9 = 0 by the Quadratic Formula . This quadratic equation has one solution only. That's because adding zero is the same as subtracting zero.

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Write a equation of a hyperbola given the foci and the asymptotes

professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

$\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}$

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

$\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}$

The asymptote of n hyperbola is expressed as

$y=\pm\frac{a}{b}(x-h)+k$

Given that the asymptotes are

$y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x$

This implies that

$a=3,\text{ and b=4}$

To evaluate the value of h and k,

$undefined$

3 0

9 months ago

Find the indicated one-sided limit, if it exists:

finlep [7]

The main point which will immediately make it clear is that you have to plug in 2 for x so that you can find the linit. So, using this simple method you will get the <span>-1/4 answer. Hope you will agree with me and find this useful! Regards.</span>

8 0

2 years ago

What is the solution of the system? Use either the substitution method or the elimination method. 4x + 2y = 104x + 2y = 10 x − y

bixtya [17]

4x+2y=10 Equation 1
x-y=13 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=y+13
Substitute value of x in equation 1
4(y+13)+2y=10
4y+52+2y=10
6y+52=10
6y=-42
y=-7
Now substitute value of y in x=y+13
x=-7+13
x=6

Answer: (6,-7)

8 0

3 years ago

4 = 3x -x-4<br> I need steps to how to do this

vesna_86 [32]

Step-by-step explanation:

so first you combine like terms , 3x-x-4=4 turns into 4x-4=4 then u add 4 to both sides [inverse operations]

4x-4=4

+4 +4

--------------

4x= 8

----------

4. 4

×=2

then u use inverse operations. agian and divide 4 into 8 and you get 2 !! x = 2

4 0

2 years ago

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An artist creates a right prism whose bases are regular decagons. He wants to paint the lateral surfaces of the

Anton [14]

Answer:

triangle

Step-by-step explanation:

6 0

2 years ago