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3 years ago

Given a discriminat of 36 how many solutions with the quadratic function have?

Mathematics

2 answers:

alexira [117]3 years ago

8 0

Answer:

Step-by-step explanation:

So!

If the d (discriminant)

d > 0 Then 2 solutions

d = 0 Then 1 solution

d < 0 Then none

36 > 0 so 2 solutions

Brrunno [24]3 years ago

7 0

Answer:

2 Rational Roots!

Step-by-step explanation:

If the discriminant or D

If D > 0 Then there are 2 solutions

If D = Positive Perfect Square then there are 2 Rational roots

If D = Positive Non Perfect Square then there are 2 Irational roots

If D = 0 Then there is 1 solution

If D < 0 Then there are no real roots or 2 complex roots

D or 36 > 0 and D is a perfect square so

2 Rational Roots!

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Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'

AleksandrR [38]

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

</span> $\dfrac{9}{10} = x + \dfrac{3}{5}$

$x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}$

$c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

6 0

3 years ago

Help asap thank you .

frosja888 [35]

Answer:

Step-by-step explanation:

count up 2 count right 1, 2/1

2/1 = 2

3 0

2 years ago

3) Consider a triangle with side lengths 5 and 13. What are the possibilities for the third side if the

mars1129 [50]

Answer:

find the square of both numbers

13²=169

5²=25

minus the square

169-25 to get 144

find the square root of 144

✓144=12 the third side is 12

7 0

2 years ago

Read 2 more answers

Helppppp what was Fátima’s error?

Gekata [30.6K]

Answer:

She applied the exponent -2 to 4(-2) instead of applying the exponent to just -2.

Step-by-step explanation:

i got my rerecord from my flash cards my teacher made of some answers

3 0

3 years ago

How does the figure help verify the triangle inequality theorem?

adelina 88 [10]

The figure description helps; Choice A; by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side.

<h3>What is the triangle inequality theorem?</h3>

The triangle inequalities theorem postulates that the sum of lengths of two sides of a triangle must be greater than the length of the third side.

On this note, it follows that the since the sum of sides given in the description 7 and 4 is less than 15, the segments cannot be used to form a triangle.