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3 years ago

A quadradic polynomial has a degree of 2 true or false

Mathematics

1 answer:

nataly862011 [7]3 years ago

4 0

Answer: True

Step-by-step explanation:

We know that the quadratics polynomials have this form:

$f(x)=ax^2+bx+c$

You need to remember that the degree of a polynomial is given by its highest exponent.

You can observe in the quadratic polynomial $f(x)=ax^2+bx+c$ that the highest exponent is "2", which is the exponent of the term $ax^2$

Therefore, since the highest exponent is "2", you should conclude that the degree of the polynomial is 2.

Then, you can say that a quadradic polynomial has degree 2.

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A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

5 0

3 years ago

Determine whether the binomial is a factor of f(x).<br><br> f(x) = x3 + 11x2 + 24x - 36; x - 4

attashe74 [19]

If it is, then $f(4)$ would be equal $0$ .

$f(4)=4^3+11\cdot4^2+24\cdot4-36\\
f(4)=64+11\cdot16+96-36\\
f(4)=124+176\\
f(4)=300\not =0 \Rightarrow \text{ it isn't}$

8 0

3 years ago

Find the measure of the missing angles.<br> 62°<br> b\co

tiny-mole [99]

The measures of angles B and C are 118° and 62°, respectively.

<h3>What are the measures of two missing angles generated by the intersection of two lines?</h3>

A system of three angles is generated by two lines intersecting each other. In accordance with Euclidean geometry, angle C is opposite to the angle with measure 62° and angle B is supplementary to the same angle.

When two angles are opposite, then both have the same measure, and when two angles are supplementary, then the sum of their measures equals 180°. Therefore, the measures of angles B and C are 118° and 62°, respectively.

To learn more on angles: brainly.com/question/7116550

#SPJ1

8 0

2 years ago

Use the quadratic formula to solve x2 – 3x - 2 = 0.

r-ruslan [8.4K]

Answer:

x = 2 , 1

Step-by-step explanation:

6 0

3 years ago

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What will the sign be on the solution to this problem: (-3)(-4)(5)(6)(-7)<br><br> +<br> -

Korvikt [17]

Answer:

Step-by-step explanation:

becuase (-3)(-4) will give you a positive and when you mutipy it with the 5 and 6 you will still get postive but when you multiply with -7, you will get a negitive

4 0

3 years ago

Read 2 more answers