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Komok [63]
3 years ago
13

Find the equation of a line that is PERPENDICULAR to y = 1/3 x -2 & passes through the point ( 3, 2 ). (CHECK PIC FOR ANSWER

CHOICES)

Mathematics
1 answer:
densk [106]3 years ago
3 0

Answer:

The answer to your question is the letter b)    y = -3x + 11

Step-by-step explanation:

Data

Original line  y = 1/3x - 2

Point = (3, 2)

New line = ? (perpendicular)

Process

1.- Get the slope of the original line

The slope is the coefficient of the x in the line equation.

       y = 1/3x - 2

       slope = m = 1/3

2.- Find the slope of the new line

       new slope = -3  (because the lines are perpendicular)

3.- Find the equation of the new line

         y - y1 = m(x - x1)

 x1 = 3    y1 = 2

-Substitution

        y - 2 = -3(x - 3)

-Simplification

        y - 2 = -3x + 9

        y = -3x + 9 + 2

-Result

       y = -3x + 11

         

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3 0
3 years ago
The angle measurements in the diagram are represented by the following expressions
alexandr402 [8]

angle A = angle B corresponding angles

8x - 8 = 5x + 25

3x = 33

x = 11

angle B

5x + 25

55 + 25

80°

4 0
3 years ago
Find the value of x and y
Lesechka [4]

Answer:

x = 33, y = 17

Step-by-step explanation:

1) the sum of all the angles in any triangle is 180 degrees

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7 0
3 years ago
If you rotate a right triangle, what feature of the triangle changes?
Setler79 [48]

Answer:

The answer is D.

Step-by-step explanation:

The answer is D because if you rotate a right triangle it will still have the same sides, same shape, same everything except position. Like if I moved my B point 90 degrees, the triangle ABC altogether would stay the same, but my points have changed so instead of B' being in the same place as B, it would be in another quadrant or area that is not B.

6 0
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Read 2 more answers
Sally invested money into two different accounts at the same time. The system of inequalities represents the balance of each acc
ollegr [7]

Answer: The true statement is,

The rate at which the balance of Account A grows is greater than the rate at which the balance of Account B grows.

Step-by-step explanation:

Given inequalities that represents the amount in two different account,

Account A: y ≥ 1.13x+1000,

Account B: y ≥ 1.08x+1000,

Since, the amount of an investment represents by the linear equation,

y = ax + b

Where,

b = invested amount,

a = amount of interest per period,

x = number of periods,

Since, related equation of inequality y ≥ 1.13x+1000,

y = 1.13x+1000,

i.e invested amount = 1000, interest per year = 1.13,

Similarly, related equation of inequality y≥1.08x+1000,

y = 1.08x+1000,

i.e invested amount = 1000, interest per year = 1.08,

⇒ Sally initially invests same money into Account A than Account B

⇒ Sally invests a total of $2000 into the two accounts.

Now, 1.08 < 1.13

∵ interest ∝ rate × time,

Hence, the rate at which the balance of Account A grows is greater than the rate at which the balance of Account B grows.

7 0
3 years ago
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