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3 years ago

8. If the discriminant is positive, there will be ______ real solutions.

Mathematics

1 answer:

Deffense [45]3 years ago

6 0

Answer:

Step-by-step explanation:

The discriminant is the quantity under the radical in the quadratic formula ...

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[tex]

When that quantity is positive, the square root is real, and the formula gives two real values for x.

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Solve the linear equation: 3.4 + 2(9.7 – 4.8x) = 61.2 What are the possible steps involved in solving this equation? Check all t

Leno4ka [110]

The answers for the exercise shown above are the second option, the third option, the fifth option and the sixth option, which are:
2) Distribute 2 to 9.7 and −4.8x.
3) Combine 3.4 and 19.4.
5) Substract 22.8 from both sides.
6) Divide both sides by −9.6
The steps are shown below:
3.4+2(9.7-4.8x)=61.2
3.4+19.4-9.6x=61.2
22.8-9.6x=61.2
228-22.8-9.6x=61.2-22.8
-9.6x=38.4
-9.6x/-9.6=38.4/-9.6
x=-4

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3 years ago

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I need help with #11 - #14.

Aleonysh [2.5K]

Answer:

I can get you jump started a bit.

Step-by-step explanation:

So Each of those pairs of figures are Similar.

This means they have equal angle measures but different side lengths.

To find it, we have to make a Proportion:

Example: #11

$\frac{x+1}{3x+1} =\frac{8}{20}$

So let's solve the first one!

$24x+8=20x+20\\4x=12\\x=3$

Easy As Pie!

If you need more help, contact me! :)

Hope this Helps!

P.S. Stay Safe!

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3 years ago

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A long paper strip with a width of 5 cm is folded, as shown in the picture. Find the smallest possible area of the gray triangle

Stolb23 [73]

By using some logic and the formula of the triangle's area, we will find that the smallest possible area is 12.5 cm²

How to start thinking about the problem.

First of all, for the configuration of this paper strip, we can see that the base of the triangle will always be equal of the width of the paper. Thus, the smallest area will be only dependent of the height of the triangle.

Now, we need to analyze the picture to figure out how we can get the smallest height possible for that triangle.

What is the smallest height possible.

Doing this, we shall see that the smallest height possible is actually when the height equals the width itself, as it's shown in the attached image.

How to calculate the smallest area possible.

Thus, to calculate the smallest area, we just have to use the formula of the area of the triangle, which is $\frac{b\times h}{2}$ , where b is the base and h is the height.

As we previously found, for this question, the

base = height = width of the paper = 5cm

Now, we just have to calculate it with the formula

$Area = \frac{base \times height}{2} \\\\
\\
Area = \frac{5 \times 5}{2} \\
\\
Area = \frac{25}{2}\\
 \\
Area = 12.5 cm^{2}$

learn more about the area of the triangle here: brainly.com/question/15442893

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2 years ago

kevin and his father have collected 1,456 different coins over the years they have a coin album that holds 30 coins on a page if

Tems11 [23]

To get the answer, divide 1456 by 30
1456 / 30 = 48.53

Because there is leftover coins that cant fit a complete page, they would need one more page.
48 + 1 = 49

Kevin and his dad would need 49 pages to put all thr coins in the album.

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3 years ago

Soo uh who's good at math i mean really,if you plz tell me everything about it i just wanna get this over with

ivolga24 [154]

Answer:

Your not dumb you probably just don't learn as fast as other people tell me what u need help on and ill try to explain it to u : )

Step-by-step explanation:

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3 years ago

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