Graph 2x+3y=6 using slope intercept form

H(x)=(x^2)+1 and K(x)=-(x^2)+4. If K(H)=0, what are the roots/solutions?

zubka84 [21]

$H(x)=(x^2)+1\ \ \ \ and\ \ \ \ K(x)=-(x^2)+4. \\\\K(H)=-(H^2)+4=-(x^2+1)^2+4=4-(x^2+1)^2=\\\\.\ \ \ =2^2-(x^2+1)^2=(2-x^2-1)(2+x^2+1)=(1-x^2)(3+x^2)=\\\\.\ \ \ =(1-x)(1+x)(x^2-3\cdot i^2)=(1-x)(1+x)(x- \sqrt{3} \cdot i)(x+ \sqrt{3} \cdot i)\\\\ K(H)=0\ \ \ \ \Leftrightarrow\ \ \ (1-x)(1+x)(x- \sqrt{3} \cdot i)(x+ \sqrt{3} \cdot i)=0\\\\x=1\ \ \ \ or\ \ \ \ x=-1\ \ \ \ or\ \ \ \ x=\sqrt{3} \cdot i\ \ \ \ or\ \ \ \ x=-\sqrt{3} \cdot i\\\\Ans.\ e.$

4 0

3 years ago

prove that the fast squaring trick for two-digit numbers ending in 5 works. the trick: if you have a 2-digit number that ends in

blondinia [14]

The procedure to squaring a two digit number is by multiplying the first number by a integer greater than the number and putting 25 beside it.

Finding the Square of a Value is a simple method. Multiply the specified integer by itself to determine the square number. The square term is always represented as an integer multiplied by two. For example, the square of 5 is 25 multiplied by 5, giving 5×5 = 5² = 25.

What if we want to calculate the square root of a two-digit number . It might be a little challenging. Ordinary multiplication cannot be used to compute the square of two-digit values. This article will show us how to calculate the precise square of such integers.

Simply multiply a single-digit number by itself to find its square. Furthermore, by memorizing the tables from 1 to 10.

We taught about two triangles and how to find the point of any base of a triangle given the other two sides using Pythagoras' theorem.

A right triangle has three sides: the hypotenuse, perpendicular, and base. Pythagoras' theorem states that

Hypotenuse² = Perpendicular² + Base².

to learn more about number visit:

brainly.com/question/17429689

#SPJ4

5 0

1 year ago

The population of the US is about 300 million people. there are approximately 2.2 x 10 to the 12th power U.S. dollars in existen

koban [17]

Answer:

$7,333.33 (approximately)

Step-by-step explanation:

First step: $10^{12}$ = 1,000,000,000,000

Second step: 2.2 x 1,000,000,000,000 = 2,200,000,000,000

Third step: 2,200,000,000,000 ÷ 300,000,000 = 7,333.333333333333

7 0

1 year ago

Find the x-intercept and y-intercept for this equation 6x –y = -12. Plz help!!

12345 [234]

Y intercept = (0,12)
x intercept = (-2,0)

3 0

3 years ago

A smaller triangle is four times smaller than a larger triangle. If the smaller triangle has a measurement of 27.1 mm for its lo

madam [21]

Answer:

D. 108.4 mm

Step-by-step explanation:

Since the larger triangle is 4 times of the small triangle...

27.1 x 4 = 108.4 mm

5 0

3 years ago