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tankabanditka [31]
3 years ago
11

What is the slope of the line perpendicular to y=-3x+4?

Mathematics
1 answer:
inessss [21]3 years ago
7 0

The perpendicular line would have a slope of 1/3.

Perpendicular lines have opposite and reciprocal slopes.

To do the opposite, take the original slope (-3) and change the sign (3).

To do the reciprocal, take the slope we changed (3) and flip it as a fraction (1/3).

This gives us a new slope of 1/3.

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PLEASE HELP!
3241004551 [841]

The question is incomplete. Here is the complete question.

The salary of members of two governing bodies in 2008 was $167.2 thousand, and has increased by approximately $2 thousand per year since then. Complete parts (a) and (b).

(a) Complete the following table to help find an expression that stands for the the salary (in thousands of dollars) of members of the two governing bodies t years since 2008.

Number of years and salaries of members of the two governing bodies

------------------------------------------------------------------------------------------------

Years since 2008                   Salary (thousands of dollars)

------------------------------------------------------------------------------------------------

            0                                              (2._) + ___

            1                                               (2._) + ___

            2                                              (2._) + ___

            3                                              (2._) + ___

            4                                              (2._) + ___

             t                                              ________

----------------------------------------------------------------------------------------------------

(b) Evaluate the expression that is found in part (a) for t = 5. What does the result means in this situation?

Answer: (a) The blank space inside the parenthesis is the number of years and the 2nd blank space is the salary: $167.2 thousand.

The last blank space is 2.t + 167.2.

(b) The value for t = 5 is 177.2 thousand.

Step-by-step explanation: The table in (a) is the description of the salaries per year. After 2008, there is an increase of 2000 per year.

Assuming t is in years, the expression for the salaries per year will be:

s = 2.t + 167.2

For part (b), t = 5. Substitute it into the equation, it is:

s = 2.t + 167.2

s = 2.5 + 167.2

s = 177.2

This means that in <u>year</u> <u>5</u>, the salary will be $ 177.2 thousand.

4 0
3 years ago
How do I solve this?
xenn [34]
Don't you have the answer on their already
4 0
3 years ago
Given that (- 2, 7) is on the graph of f(x) , find the corresponding point for the function f(x + 4).
AveGali [126]

Answer:

\boxed{\ the \ corresponding\  point\  is \ (-6,7)\ }

Step-by-step explanation:

We know that f(-2)=7

x+4 = -2 <=> x = -6

so f(-6+4) = f(-2)=7

then the corresponding point is (-6,7)

3 0
2 years ago
A circle with center on (7,0) with a radius of 9.
Greeley [361]

Answer:

The answer to your question is   (x - 7)² + y² = 81

Step-by-step explanation:

Data

Center = (7, 0)

radius = 9

Process

To find the standard equation of a circle, just substitute the values of the center and the radius.

Standar equation of a circle

                     (x - h)²  +  (y - k)² = r²

-Identify the values of h and k

                     h = 7    k = 0   and r = 9

-Substitution

                    (x - 7)² + (y - 0)² = 9²

-Simplification

                  (x - 7)² + y² = 81

7 0
3 years ago
Question 2.
ipn [44]

Answer:

1) -0.669

2) -0.669

3) 0.669

Step-by-step explanation:

Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.

Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.

Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.

If theta=70:

1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.

2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.

3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.

3 0
3 years ago
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