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2 years ago

I simply don’t understand. I need to simplify it

Mathematics

2 answers:

user100 [1]2 years ago

8 0

Answer: i - 60 ${5}^y^{5}$ $z^{8}$ $\sqrt{z}$

the two fives are supposed to be up y but i dont know how to put them

Step-by-step explanation:

joja [24]2 years ago

3 0

Answer:

- 5*12

Step-by-step explanation:

(-5) (12) X^8 Y^5 Z^8 sqrt Z

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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B2%7D-x-2%20%7D%7Bx-5%7D" id="TexFormula1" title="f(x) = \fra

Umnica [9.8K]

The given function is

$f(x)=\frac{x^2-x-2}{x-5}$

i) We factor the numerator to obtain;

$f(x)=\frac{(x-2)(x+1)}{x-5}$

The vertical asymptote is where the denominator is zero.

V.A: $x=5$

ii) The roots are the zeros of the numerator;

Roots:

$x^2-x-2=0$

$(x-2)(x+1)=0$

$x=2,x=-1$

iii) At y-intercept $x=0$ .

Put $x=0$ into the function and solve.

$f(0)=\frac{0^2-0-2}{0-5}$

$f(0)=\frac{-2}{-5}$

$f(0)=\frac{2}{5}$

Y-int: $\frac{2}{5}$

iv) Horizontal asymptote.

This is an improper rational function.

It has no horizontal asymptote.

v) Holes:

The given rational function has no common factors in both the numerator and the denominator.

Therefore the function has no holes.

6) For oblique Assymptote, we divide using lond division or synthetic division;

1 -1 -2

5| <u> 5 20</u>

1 4 18

The quotient is $x+4$

The oblique asymptote is

$y=x+4$

6 0

3 years ago

Which points are 4 units apart?

xz_007 [3.2K]

The points that are 4 units apart are B and D

<h3>Complete question</h3>

Which points are 4 units apart? On a coordinate plane, point A is at (-2, 4), point B is at (3, -6), point C is at (-1, 0), point D is at (3, -2).

B and C

C and D

A and C

B and D

<h3>How to determine the points?</h3>

To do this, we simply calculate the distance using the following equation

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2$

Using the given points, we have:

$BC = \sqrt{(3+ 1)^2 + (-6 -0)^2} = 7.2$

$CD = \sqrt{(-1 - 3)^2 + (0 +2)^2} = 4.5$

$AC = \sqrt{(-2 + 1)^2 + (4 -0)^2} = 4.1$

$BD = \sqrt{(3 - 3)^2 + (-6 +2)^2} = 4$

Hence, the points that are 4 units apart are B and D

Read more about distance at:brainly.com/question/15821277

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3 0

2 years ago

________ is a fundamental difference between the t statistic and a z-score

chubhunter [2.5K]

Answer:

Step-by-step explanation:

- The Z-score allows you to decide if your sample is different from the population mean. In order to use z, you must know four things:

The population mean.
The population standard deviation.
The sample mean.
The sample size.

- Usually in stats, you don’t know anything about a population, so instead of a Z score you use a T-Test with a T Statistic.

- The major difference between using a Z score and a T statistic is that you have to estimate the population standard deviation. The T test is also used if you have a small sample size (less than 30).

6 0

3 years ago

Two buildings are 12m apart on the same horizontal level. From the top of the taller building, the angle of depression of the bo

Ksenya-84 [330]

Answer:

4.61 m

Step-by-step explanation:

The angle of depression of the bottom of the shorter building from the top of the taller building = 48° equals the angle of elevation of the top of the taller building from the bottom of the shorter building

Using trig ratios

tan48° = H/d where H = height of taller building and d = their distance apart = 12 m

H = dtan48° = 12tan48° = 13.33 m

Also, the angle of elevation of the top of the shorter building from the bottom of the taller building is 36°

Using trig ratios

tan36° = h/d where h = height of shorter building

h =dtan36° = 12tan36° = 8.72 m

Now, the difference in height of the buildings is thus H - h = 13.33 m - 8.72 m = 4.61 m

4 0

3 years ago

In rectangle MATH, AT = 8 and TH = 12. Find the length of

castortr0y [4]

The question is not clear enough

7 0

3 years ago