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fredd [130]
2 years ago
15

Write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation. Pleas

e also tell me how you did this! Thank you so much!!
(3, 5); y=−3x+7
Mathematics
1 answer:
Anna71 [15]2 years ago
6 0

Answer:

y = \frac{1}{3}x + 4

Step-by-step explanation:

First, to figure out the equation of a line you must find the slope then plug in the coordinates.

In order to find the slope of the equation, you know that it is perpendicular to the equation y = -3x + 7.

Perpendicular slopes are basically reciprocals with opposite signs; you flip the number and give it the opposite symbol.

For example, the perpendicular slope of 2 would -1/2, because flipping the fraction 2/1 is 1/2 and the opposite sign of + would be -.

Therefore, the perpendicular slope of -3 would be 1/3, be 3/1 flipped upside down is 1/3 and the opposite sign of - is +.

Then you plug in the slope into the equation of a line along with the coordinate.

A line is y = mx + b

Since you found the slope, m = 1/3

They also give you the coordinate (3,5), meaning when x = 3, the y =5.

You plug everything into the equation to solve for b:

5 = (1/3)(3) + b

b = 5 - (1/3 * 3) = 5 - 1 = 4

Since you have values for m and b, the equation can now be constructed as

y = 1/3x + 4

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An independednt variable is a variable that doesnt need any support Dependent is where there is variable, but it depends on something else.

For example,

y=2x+1

y is dependent, becuase it depend on 2x+1

x is independent, beucase it doesnt need to depend on anything.

8 0
2 years ago
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Hans bought 3 CDs that were each the same price. Including sales tax, he paid a total of $53.40. Of that total, $3.60 was tax. W
Jet001 [13]

Answer:

$16.6

Step-by-step explanation:

x is the price of each CD before tax

so 3x + 3.60 = 53.40

3x = 53.40 - 3.60 = 49.80

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3 0
2 years ago
Ana can finish a certain job in 10 hours. Together, Ana and Nina can finish the same job in 3 hours. How many hours can Nina fin
Over [174]

Answer:   4.5 hours

<u>Step-by-step explanation:</u>

Ana: \dfrac{1}{10}\ \text{job per hour}\\\\Nina: \dfrac{1}{x}\ \text{job per hour}\\\\Together: \dfrac{1}{3}\ \text{job per hour}\\\\\\Ana + Nina = Together\\\dfrac{1}{10}\quad +\dfrac{1}{x}\quad =\quad \dfrac{1}{3}\\\\\\\dfrac{1}{10}(30x)+\dfrac{1}{x}(30x) =\dfrac{1}{3}(30x)\\\\\\\rightarrow\quad 3x+30=10x\\\\.\quad 3x+30=10x\\\underline{-3x\qquad \quad -3x\quad}\\.\qquad \quad 30=7x\\\\.\qquad \quad \dfrac{30}{7}=\dfrac{7x}{7}\\\\\\.\qquad \quad \dfrac{30}{7}=x

.\qquad \quad 4.5=x

5 0
2 years ago
Karin wants to use the distributive property to mentally find the value of 19 x 42+ 19x 58. Which expression can she use?
olasank [31]

Answer:

19(42 + 58)

Step-by-step explanation:

Assuming x = multiply, you are trying to solve the distributive property. Divide common factors from both terms (in this case 19).

~

7 0
3 years ago
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F(x) = 17 - 2x<br> Find f(a + 7)
Fudgin [204]

Answer:

-2a + 3

Step-by-step explanation:

We can substitute a + 7 for x:

f(a + 7) = 17 - 2(a+7) = 17 - 2a - 14 = -2a + 3

4 0
3 years ago
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