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vovikov84 [41]
3 years ago
8

Find an equation of the line that passes through the points (1 2) and perpendicular to the line 2y-x=4

Mathematics
1 answer:
Ratling [72]3 years ago
3 0
Steps to find the equation
1. Find the slope
2. Insert slope into the general equation
3. Find y-intercept
4. Insert -intercept into the equation found in step 2
And you get the equation of the line

----------------------------------------------------------------------------------------------
Find the slope
----------------------------------------------------------------------------------------------
2y - x = 4

----------------------------------------------------------------------------------------------
Rewrite into the form y = mx + c
----------------------------------------------------------------------------------------------
2y = x + 4
y = 1/2 x + 2

Slope = 1/2
Perpendicular slope = -2 (negative reciprocal)

----------------------------------------------------------------------------------------------
Insert slope into the equation
----------------------------------------------------------------------------------------------
y = mx + c
y = -2x + c

----------------------------------------------------------------------------------------------
Find y-intercept
----------------------------------------------------------------------------------------------
y = -2x + c
At point (1, 2)
2 = -2(1) + c
2 = -2 + c
c = 4

----------------------------------------------------------------------------------------------
Insert y-intercept into the equation y = -2x + c
----------------------------------------------------------------------------------------------
y = -2x + 4

----------------------------------------------------------------------------------------------
Answer: y = -2x + 4
----------------------------------------------------------------------------------------------
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The product of three and a number decreased by ten is thirteen
monitta

Answer:

3x - 10 = 13 would be the verbal expression where x = a number

Hope this helps!

5 0
3 years ago
Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore, and recorded number of pages in each textboo
jeka94

Answer:

y = -0.85 + 0.09x; $49.82

Step-by-step explanation:

1. Calculate Σx, Σy, Σxy, and Σx²  

The calculation is tedious but not difficult.

\begin{array}{rrrr}\mathbf{x} & \mathbf{y}  & \mathbf{xy} & \mathbf{x^{2}}\\526 & 52.08 & 27394.08 & 276676\\625& 59.00 & 36875.00 &390625\\589 & 56.12 & 33054.68 & 346921\\409 & 25.72 & 10519.48 & 167281\\489 & 34.12& 16684.68 & 293121\\500 & 53.00 & 26500.00 &250000\\906 & 76.48 & 71102.88 & 820836\\251 &26.08 & 6546.08 & 63001\\595 & 50.60 & 30107.00 & 354025\\719 & 68.52 & 49265.88 & 516961\\\mathbf{5609} & \mathbf{503.72} &\mathbf{308049.76} & \mathbf{3425447}\\\end{array}

2. Calculate the coefficients in the regression equation

a = \dfrac{\sum y \sum x^{2} - \sum x \sum xy}{n\sum x^{2}- \left (\sum x\right )^{2}} =  \dfrac{503.7 \times 3425447 - 5609 \times 308049.76}{10 \times 3425447- 5609^{2}}\\\\= \dfrac{1725466163 - 1727851103.84}{34254470 - 31460881} = -\dfrac{2384941}{2793589}= \mathbf{-0.8537}

b = \dfrac{n\sumx y  - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{3080498 - 2825365.48}{2793589} = \dfrac{255132}{2793589} = \mathbf{0.09133}

To two decimal places, the regression equation is

y = -0.85 + 0.09x

3. Prediction

If x = 563,

y = -0.85 + 0.09x = -0.85 + 0.09 × 563 = -0.85  + 50.67 = $49.82

(If we don't  round the regression equation to two decimal places, the predicted value is $50.56.)

 

4 0
3 years ago
______-8=9<br><br> Blank -8=9
Vanyuwa [196]
17, because 9 + 8 = 17.
17 - 8 equals 9
6 0
3 years ago
PLEASE ANSWER THIS
kotykmax [81]

Answer:

huh looks simple....it's unreactive because it's already stable

Step-by-step explanation:

it has eight electrons in the outer most energy level making it stable so it doesn't need to loose or gain electrons

6 0
3 years ago
Solve the following combination: <br><br>10C7
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The answer is one hundred and twenty
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