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LekaFEV [45]
1 year ago
11

Explain how to use the discriminant to determine the number and type of roots of a quadratic equation.

Mathematics
1 answer:
baherus [9]1 year ago
8 0

The general form of the quadratic equation is :

ax^2+bx+c=0

The discriminant is :

D=b^2-4\cdot a\cdot c

And the general solution is :

x=\frac{-b\pm\sqrt[]{D}}{2\cdot a}

So, there are 3 situations for D

1. D = 0

So, the roots of a quadratic equation are two similar roots

2. D > 0

so, roots of a quadratic equation are two different roots

3. D < 0

so, roots of a quadratic equation are not real, two comlex roots

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I WILL AWARD BRAINLIEST TO THE FIRST PERSON TO ANSWER HONESTLY
ruslelena [56]

Answer:

1,3,5

Step-by-step explanation:

Your first answer is correct,the third one too,and your fifth too.

Hope this helps:)

Pls mark brainlist

3 0
3 years ago
The table shows the maximum and minimum depths of two submarines. Find the range of depths for each submarine. Then determine wh
JulsSmile [24]

Answer:

Range A = 386ft

Range B = 427ft

B has the larger range.

Explanation:

To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.

Sub A:

-146ft - (-532ft) = 386 ft

Sub B:

-194ft - (-621ft) = 427 ft

Submarine B has a larger range.

7 0
3 years ago
The ratio of the measures of the angles of a triangle is 3:4:8 what are the measures of the angles?
evablogger [386]

Answer:

36 and 48 and 96

Step-by-step explanation:

add 3+4+8=15

all of the angles in a triangle have to add up to 180

so 180÷15=12

now for this ratio, each part will equal 12

so we have to multiply each of the parts by 12

3×12=36

4×12=48

8×12=96

those are the measures of the angles

you can add them up again and see that they equal 180

you can try dividing and you will see that they also equal the ratio

5 0
3 years ago
Rename 476,000 thousands
lozanna [386]

Answer:

Four hundred seventy six thousand

Step-by-step explanation:

I think this is what you mean. If not, let me know. Thank you:))

5 0
3 years ago
Read 2 more answers
What radius of a circle is required to inscribe a regular hexagon with an area of 210.44 cm2 and an apothem of 7.794 cm
alekssr [168]
We know that

[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
</span>210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²

[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm

the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm

<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
8 0
3 years ago
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