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Marizza181 [45]
3 years ago
12

Given the equation, (x - h )^2 = (y - k)^2 = r^2 , what are the coordinates of the center?

Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Step-by-step explanation:

(x - h)^2 + (y-k)^2 = r^2

The center = (h,k)

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Which of the following shows the division problem below in synthetic division form? 4x^2-13x+8 / x+5
Tju [1.3M]

Answer:

Dividing 4x^2 - 13x + 8  by x + 5 or x - (-5), in synthetic division form:

-5)        4          |       -13      |          8

           ↓               4 x (-5)     (-5) x (-33)  

           4                 -33               173

=> Quotient is 4x - 33 and remainder is 173

=> (4x^2  - 13x + 8)/(x + 5) = (4x - 33) + 173/(x + 5)

Hope this helps!

:)

5 0
3 years ago
An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m
SVETLANKA909090 [29]

Answer:

a) y=-6.254 x +75.064  

b) r =-0.932

The % of variation is given by the determination coefficient given by r^2 and on this case -0.932^2 =0.8687, so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y)     Interest Rate (X)

       22                               9.2

       20                               7.6

       10                                10.4

       45                                5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225  

And the slope would be:  

m=\frac{-91.225}{14.5875}=-6.254  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125  

\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25  

And we can find the intercept using this:  

b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064  

So the line would be given by:  

y=-6.254 x +75.064  

Part b

For this case we need to calculate the correlation coefficient given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937  

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by r^2 and on this case -0.932^2 =0.8687, so then the % of variation explained by the linear model is 86.87%.

6 0
3 years ago
Which ordered pair is a solution to the equation 2x - 4y = 18?
weqwewe [10]
(11,1) because if you plug in x and y this answer is the only one that gives you 18 in the end
5 0
4 years ago
Read 2 more answers
What is the equation of the line that passes through (6,4) and (4,1)
Murrr4er [49]

Answer:

y = 3/2*x - 5

Step-by-step explanation:

Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:

P1=(x1,y1) and P2=(x2,y2)

slope formula --->   m=(y2-y1)/(x2-x1)

Replacing the given points --->    m=(1-4)/(4-6) = 3/2

then replacing the slope value obtained:

y = 3/2*x + b

Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:

1 = 3/2*4 + b

1 = 6 + b

1 - 6 = b

-5 = b

therefore the line equation is:

y = 3/2*x - 5

3 0
3 years ago
How to write the number 1.39-1.14 in word form
9966 [12]
0.25 which is a quarter. 
3 0
3 years ago
Read 2 more answers
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