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deff fn [24]
3 years ago
9

Pleaseee helpppp!!!!!!!!!!!!!!!!

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
5 0
The line g(x) has slope ...
  (change in y)/(change in x) = (-18 -(-20))/(1 - 0) = 2
so can be written in slope-intercept form as
  g(x) = 2x -20

The x-intercept of this line is at x=10.
  0 = 2x -20 . . . . the x-intercept is where g(x) = 0
  20 = 2x
  10 = x

The circle also intersects the x-axis at x=10, so that will be one point that is shared by the circle and g(x). A graph shows there is also another point of intersection, (6, -8).

Yes, the linear function g(x) will intersect the circle at 2 points with positive x-coordinates.

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What is the volume of the pyramid in the diagram?
vekshin1

Answer:

A

Step-by-step explanation:

7 0
3 years ago
Rhombus ABCD has a diagonal BD¯¯¯¯¯.
ELEN [110]

Answer:

Solution given:

m∠ADB=(4x−12)°

m∠CDB=(3x+6)°

m∠ADC =?

Since diagonal BD bisect the angle <ADC

so

m∠ADB= m∠ADC

(4x-12)°=(3x+6)°

4x-3x=6-12

x=12+6

x=18°

again.

<ADB=m∠ADB+ m∠ADC=4×18-12+3×18+6=120°

So

<u>the m∠</u><u>ADC</u><u> </u><u>=</u><u>1</u><u>2</u><u>0</u><u>°</u>

5 0
2 years ago
Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years o
Alik [6]

Answer:

There is a relationship between the age of a young adult and the type of movie preferred.

Step-by-step explanation:

In this case we need to test whether there is a significance relationship between the age of a young adult and the type of movie preferred.

The hypothesis can be defined as:

<em>H₀</em>: Age of a young adult and movie preference are independent.

<em>Hₐ</em>: Age of a young adult and movie preference are not independent.

The test statistic is given as follows:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}

Consider the table below.

The formula to compute the expected frequencies is:

E_{i}=\frac{\text{Row Total}\times \text{Column Total}}{\text{Total}}

The Chi-square test statistic value is:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=2.6013

The significance level of the test is, <em>α</em> = 0.05.

The degrees of freedom of the test is,

df = (r - 1)(c - 1)

   = (3 - 1)(3 - 1)

   = 2 × 2

   = 4

Compute the <em>p</em>-value as follows:

<em>p</em>-value = 0.6266

*Use a Chi square table.

As the <em>p-</em>value is more than the significance level the null hypothesis was failed to be rejected.

Thus, concluding that there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred.

5 0
3 years ago
A) Change 9 out of 50 to a percentage.​
Artist 52 [7]

Hey there! Your question’s answer would be 18%..

Ok so 9/50 would be 9% out of 50% which is also 100%. If you want to find 50% turn to 100%, multiply 50 with 2 to get 100.

So you do the same thing to 9%. 9 times 2 would be 18%.

Final Result: 9% out of 100% (whole)

6 0
2 years ago
Which quadratic equation has roots - 2 and 1/5 :
Sladkaya [172]

Answer:

5 {x}^{2}  \:  +  \: 8x \:  - 2 \:  =  \: 0

Step-by-step explanation:

sum \: of roots =  - 2 +  \frac{1}{5}  = - \frac{8}{5}  \\ product \: of \: roots =  - 2 \times  \frac{1}{5}  =  -  \frac{2}{5}  \\ from \: general \: equation \\ a {x}^{2}  + bx + c = 0 \\  {x}^{2}  +  \frac{8}{5} x  \: -   \frac{2}{5}  = 0 \\ 5 {x}^{2}   \:  +  \: 8x \:  - 2 \:  =  \: 0

7 0
3 years ago
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