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enyata [817]
3 years ago
13

Use the discriminant to determine the nature of the roots of the following questions

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
6 0

Answer:

the function has two distinct real roots.

Step-by-step explanation:

D=b²-4ac    

D<0 No real roots

D=0 One real root

D>0 Two distinct real root.

    (-5)²-4*1*-3

    25+12

    37

Since D is > than 0, the function has two distinct real roots.

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A triangle, ABC, has side lengths of 15 in, 28 in and 17 in
ikadub [295]

Answer:

17/28

if you're solving for cosine

Step-by-step explanation:

3 0
3 years ago
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Find the length of the missing side. Leave your answer in simplest radical form.
lozanna [386]

Answer:

The other side is 7.48 yards.

Step-by-step explanation:

Given that,

Hypotenuse = 15 yards

One leg = 13 yards

We need to find the length of the other leg. We can use the Pythagoras theorem to find it such that,

H^2=b^2+h^2

Where

h is other leg

Put all the values,

h=\sqrt{H^2-b^2} \\\\h=\sqrt{(15)^2-(13)^2} \\\\h=7.48\ yd

So, the other side is 7.48 yards.

6 0
3 years ago
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 31 ft long and 20 ft wide. If
forsale [732]
<h3>Answer:</h3>

133 ft

<h3>Step-by-step explanation:</h3>

Given in the question,

length of the rectangle = 31 ft

width of the rectangle= 20 ft

diameter of semicircle = 20 ft

radius of semicircle = 20/2 ft = 10 ft

<h3>Formula to use:</h3>

perimeter of rectangle + perimeter of semicircle

perimeter of rectangle = 2(l+w)

perimeter of semicircle = 1/2(2πr)

<h3>Plug values in the formula above</h3>

2(31 + 20) + 3.14(10)

133.4 ft

≈ 133 ft

8 0
3 years ago
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denis23 [38]

Answer:

1/144

step explanation:

(-1/12)^2 is -1/12 multiplied by itself twice. When multiplying fractions you can multiply straight across. When two negatives are multiplied together it makes a positive, so the answer is 1/144.

4 0
2 years ago
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Is this correct? pls be sure of yourself. if you arent, pls check
Elza [17]

Answer:

Yes It Is.

Step-by-step explanation:

8 0
3 years ago
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