Refer to the figure to answer the question.

Mathematics

1 answer:

tresset_1 [31]3 years ago

7 0

Answer:

It's HG

Step-by-step explanation:

The line of intersection is where they cross, and this line is the line HG

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Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real

hoa [83]

Answer: $0=2x^2-7x-9\\0=4x^2-3x-1\\0=x^2-2x-8$

Step-by-step explanation:

We know that the standard quadratic equation is ax^2+bx+c=0

Let's compare all the given equation to it and , find discriminant.

1. a=2, b= -7, c=-9

$b^2-4ac=(-7)^2-4(2)(-9)=49+72>0$

So it has 2 real number solutions.

2. a=1, b=-4, c=4

$b^2-4ac=(-4)^2-4(1)(4)=16-16=0$

So it has only 1 real number solution.

3. a=4, b=-3, c=-1

$b^2-4ac=(-3)^2-4(4)(-1)=9+16=25>0$

So it has 2 real number solutions.

4. a=1, b=-2, c=-8

$b^2-4ac=(-2)^2-4(1)(-8)=4+32=36>0$

So it has 2 real number solutions.

5. a=3, b=5, c=3

$b^2-4ac=(5)^2-4(3)(3)=25-36=-9$

Thus it does not has real solutions.

5 0

3 years ago

Read 2 more answers

Use the relationship between the side lengths and the angles opposite those sides. What are the smallest and largest angles of △

DENIUS [597]

Let us take a random triangle we call $\Delta LMN$ for a better understanding of the solution provided here.

A diagram of the $\Delta LMN$ is attached here.

The rule to be applied here is the relationship between the side lengths of a triangle and the angles opposite those sides. This relationship states that:

In a triangle, the shortest side is always opposite the smallest interior angle and the longest side is always opposite the largest interior angle.

Let us verify this using the diagram attached.

As per the diagram, the smallest interior angle is $\angle L$ and the side opposite to it, $MN=24$ has the smallest side just as the relationship had suggested.

Likewise, the largest interior angle is $\angle N=108^0$ and the side opposite to it, LM=45.7 is the longest side just as the relationship had suggested.