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3 years ago

Consider the polynomial 16x2 – 1.

Mathematics

2 answers:

Phoenix [80]3 years ago

7 0

This is the difference of two squares. If can be simplicied to this

(4x+1)(4x-1)

marin [14]3 years ago

7 0

16x^2-1=0
16x^2=1
x^2=1/16
x=1/4

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What are the key features of a graph of a quadratic equation with only complex solutions

dybincka [34]

Answer:

If D< 0, the roots of the quadratic equation will b complex.

Step-by-step explanation:

Let $ax^{2} + bx + c =0$ is the given quadratic equation.

So, if the Discriminant (D) = $b^{2} - 4ac < 0$ , the the equation will have only complex solutions.

Complex roots are represented in the form of $(x \pm iy)$

1. x represents the X axis (real) co ordinate,

y represents the Y axis (imaginary) coordinate

2. Also, the graph of the with equation D < 0 NEVER CROSSES the X - axis, as there are no real roots of the equation, only complex roots.

3. Here. roots are always identical but are opposite in signs. Such pair or roots with opposite sign are called CONJUGATE PAIRS.

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3 years ago

If you place a 26-foot ladder against the top of a 10-foot building, how many feet will the bottom of the ladder be from the bot

True [87]

Answer:

24 foot

Step-by-step explanation:

We are given that

Length of ladder=26 foot

Height of building=10 foot

We have to find the distance between the bottom of ladder and the bottom of building.

Pythagorus theorem:

$(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2$

We have hypotenuse =AC=26 foot

Perpendicular side =AB=10 foot

Base=BC

Substitute the values in the given formula

$(26)^2=(10)^2+(BC)^2$

$676=100+(BC)^2$

$(BC)^2=676-100=576$

$BC=\sqrt{576}=24$ (Take positive because length is always positive)

BC=24 foot

Hence, the bottom of the ladder will be 24 foot from the bottom of the building.

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3 years ago

In 1980 (before the era of in-vitro fertilization), there were 3,612,258 births in the United States (according to the U.S. Cens

scoray [572]

Answer:

There was a 1.93% probability of having multiples (twins or more) in 1980.

Step-by-step explanation:

There were 3,612,258 births in the US in 1980.

Of those,

68339 + 1337 = 69676 were multiplies.

What was the probability of having multiples (twins or more) in 1980?

$P = \frac{69676}{3612258} = 0.0193$

There was a 1.93% probability of having multiples (twins or more) in 1980.

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3 years ago

4. To draw graph of 4x+ 5y = 19, Find y when a=1 (A) 4 (B 3 62 D2-3

babymother [125]

There’s no a in the the equation

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3 years ago

BC = Round your answer to the nearest hundredth. ? C B 50° 7 А

umka21 [38]

Answer:

The answer is 8.34

U have to use the SOH CAH TOA method

In this case I used tan

so,

tan 50= BC/7

solve for BC= 7* tan 50= 8.34

6 0

2 years ago