Which equation is the most accurate line of best fit for this scatter plot?

4x+2y=10 <br> X-y=13 <br> Write in (x,y)

Bad White [126]

Answer:

(x = 6, y = -7)

Step-by-step explanation:

Solve the following system:

{4 x + 2 y = 10 | (equation 1)

x - y = 13 | (equation 2)

Subtract 1/4 × (equation 1) from equation 2:

{4 x + 2 y = 10 | (equation 1)

0 x - (3 y)/2 = 21/2 | (equation 2)

Divide equation 1 by 2:

{2 x + y = 5 | (equation 1)

0 x - (3 y)/2 = 21/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 5 | (equation 1)

0 x - y = 7 | (equation 2)

Multiply equation 2 by -1:

{2 x + y = 5 | (equation 1)

0 x+y = -7 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 12 | (equation 1)

0 x+y = -7 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 6 | (equation 1)

0 x+y = -7 | (equation 2)

Collect results:

Answer: {x = 6 , y = -7

5 0

4 years ago

Point B is a point of tangency. Find the radius r of OC.

Bumek [7]

Answer:

r = 16 units

Step-by-step explanation:

From the figure attached,

AB is the tangent drawn from a point A to the circle C.

BC = r [Radius of the circle]

Length of AC = (18 + r)

AB = 30

By the property of a tangent drawn to a circle,

"Radius of a circle and tangent are perpendicular to each other"

AB ⊥ BC

By applying Pythagoras theorem in ΔABC,

AB² + BC² = AC²

(30)² + r² = (r + 18)²

900 + r² = r² + 36r + 324

36r = 900 - 324

r = $\frac{576}{36}$

r = 16 units

6 0

3 years ago

The next model of a sports car will cost 4.4% more that the current model. The current model costs $48,000, How much will the pr

podryga [215]

Answer:

$50,112. Increase is $2,112

Step-by-step explanation:

1st way. $48,000 x 1.044 = $50,112. 1.044 is the same thing as saying 104.4% of the total price in decimal form, which is what the new price would be when adding 4.4% to the 100% of the original price. To get the amount of increase just find the difference in the two. $50,112-$48,000 = $2,112

2nd way. $48,000 x .044. = $2,112 .044 is 4.4% in decimal form. So you found the increase here. Add the increase to the original price. $48,000 + $2,112 to get the new price of $50,112.

7 0

3 years ago

1<br>Prove that<br>1: sin/1-cot + cos/1-tan=cos+sin

Anit [1.1K]

Answer:

have:

$\frac{sin}{1-cot}+\frac{cos}{1-tan}\\\\=\frac{sin}{1-\frac{cos}{sin} }+\frac{cos}{1-\frac{sin}{cos} }\\\\=\frac{sin^{2} }{sin-cos}+\frac{cos^{2} }{cos-sin} \\\\=\frac{sin^{2} }{sin-cos}-\frac{cos^{2} }{cos-sin}\\\\=\frac{sin^{2}-cos^{2} }{sin - cos}\\\\=\frac{(sin-cos)(sin+cos)}{sin-cos}\\\\=sin+cos$

Step-by-step explanation:

4 0

3 years ago

The measure of position called the midquartile of a data set is found using the formula StartFraction Upper Q 1 plus Upper Q 3 O

irinina [24]

Answer:

35.25

Step-by-step explanation:

Give the data set:

23 37 49 34 35 41 40 26 32 22 38 42

We are expected to calculate the midquartile of the given data set.

22 23 26 32 34 35 37 38 40 41 42 49

First step is to find the lower quartile which comprises of

22 23 26 32 34 35

Here the Q1 is (26+32)/2 = 58/2= 29

Second step to find the upper quartile which comprises of

37 38 40 41 42 49

Here the Q3 is (40+41) /2 = 81/2 = 41.5

Then to find the midquartile which is (Q1+Q3) /2 where Q1 is 29 and Q3 is 41.5

= (29+41.5)/2

= (70.5) /2 = 35.25

8 0

3 years ago