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irina [24]
2 years ago
5

write an equation for the line passing through the point (3,5) and perpendicular to the line y=-1/3x+5

Mathematics
1 answer:
jarptica [38.1K]2 years ago
4 0

Answer:

y= 3x -4

Step-by-step explanation:

The equation of a line can be written in the form of y=mx +c, where m is the slope and c is the y-intercept. This is also known as the slope-intercept form.

y =  -  \frac{1}{3} x + 5

Since the given equation is in the slope-intercept form, we can identify its slope from the coefficient of x.

Slope= -⅓

The product of the slopes of perpendicular lines is -1.

Slope of perpendicular line

=  - 1 \div ( -  \frac{1}{3} )

=  -  1 \times ( -  \frac{3}{1} )

= 3

Thus, the equation of the perpendicular line is given by:

y= 3x +c

Substitute a pair of coordinates that the line passes through to find the value of c.

When x= 3, y= 5,

5= 3(3) +c

5= 9 +c

<em>Minus 9 on both sides:</em>

c= 5 -9

c= -4

Hence, the equation of the perpendicular line is y= 3x -4.

Additional:

For more questions on equation of perpendicular lines, do check out the following!

  • brainly.com/question/2141803

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6 0
3 years ago
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Free_Kalibri [48]

Answer:

T(2, -7) = (4, -10)

Step-by-step explanation:

T(x, y) = (x + 2, y - 3)

T(2, -7) = (2 + 2, -7 - 3)

T(2, -7) = (4, -10)

3 0
3 years ago
Question 29 of 40<br> Find f(-2) for f(x) = 5.3*.
blsea [12.9K]

Answer:

A. \frac{5}{9}

Step-by-step explanation:

To find f(-2) in f(x)=5*3^x, plug in -2 into all the x values.

f(-2)=5*3^-2, you can use calculator to calculate 3^-2 which equals 0.1, forever 1's.

f(-2)=5*0.1=0.5  Forever 5's.

f(-2)=0.5 or \frac{5}{9}

Hope this helps!

If not, I am sorry.

4 0
2 years ago
Rich measured the height of a desk to be 80.7 cm. The actual height of the desk is 80 cm. What is Rich's percent error in this c
Hitman42 [59]

Answer:

0.9%

Step-by-step explanation:

We have been given that Rich measured the height of a desk to be 80.7 cm. The actual height of the desk is 80 cm.

We will use percentage error formula to solve our given problem.

\text{Percentage error}=\frac{\text{Experimental value-Actual value }}{\text{Actual actual}}\times 100

\text{Percentage error}=\frac{80.7-80}{80}\times 100

\text{Percentage error}=\frac{0.7}{80}\times 100

\text{Percentage error}=0.00875\times 100

\text{Percentage error}=0.875\approx 0.9

Therefore, Rich's percent error in calculation is 0.9%.

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3 years ago
Which one of the following English phrases translates to this algebraic expression? 3n - 15
zhenek [66]

Answer:

C

Step-by-step explanation:

It is stating that it is 15 less(-15) than the Product of 3 and some number(3n)

5 0
3 years ago
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