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spayn [35]
2 years ago
15

fine the equation of the line that goes through the point (2,-9) that is parallel to the line with equation y=-3/4x

Mathematics
1 answer:
Andre45 [30]2 years ago
8 0

Answer:

y=6x

Step-by-step explanation:

g=-9/2

c=0

y=-9/2x

3/4x*-9/2

y=6x

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I NEED URGENT ASSISTANCE
Nata [24]

Answer:

<em>8 C sometimes</em>

<em>9 64x^8 y^11</em>

<em>10 c 1.28r^2/ t^9</em>

Step-by-step explanation:

<u>Algebraic Operations </u>

Some basic rules must be fresh in our minds when trying to simplify complex algebraic expressions. For example, the power rule respect to the product or quotient:

\displaystyle \left(\frac{x^n.y^m}{z^p}\right)^q= \frac{x^{qn}.y^{qm}}{z^{qp}}

\displaystyle \frac{x^n.x^q}{x^p}= x^{n+q-p}

\displaystyle x^{-n}=\frac{1}{x^n}

Let's face the questions at hand

8. A number is raised to a negative exponent is negative?

Following the expressions recalled above, let's pick the expression

\displaystyle 3^{-2}=\frac{1}{3^2}=\frac{1}{9}

This is a negative power resulting in a positive number

Now we pick

\displaystyle (-2)^{-3}=\frac{1}{(-2)^3}=-\frac{1}{8}

This time, the negative power leads to a negative result, so it doesn't matter the sign of exponent to determine the sign of the result

<em>Answer: C sometimes </em>

9 simplify(4xy^2)^3(xy)^5

(4xy^2)^3(xy)^5=4^3x^3(y^2)^3x^5y^5

=64x^3y^6x^5y^5

=64x^8y^{11}

10 simplify(2t^-3)^3(0.4r)^2

(2t^{-3})^3(0.4r)^2=2^3(t^{-3})^30.4^2r^2

=8t^{-9} 0.16 r^2

=1.28t^{-9} r^2

\displaystyle \frac{1.28 r^2}{t^9}

7 0
3 years ago
Which equation is a linear function?
Sonja [21]

Answer:

the equation in letter D is a linear function.

6 0
3 years ago
If 33% of the members of Sweetheart Union sign petitions to decertify the union, the National Labor Relations Board will call an
Elis [28]

Answer:

There is no need to call for election.

Step-by-Step Explanation

Surveys are based on probability or statistics. It serves as a standard tool for experimental research in marketing, social sciences and official data statistics.

Since 8 out of 40 members of the Sweetheart Union will sign the petition, the percentage of those who will sign the petition is calculated below:

\frac{8}{40}*100=20\%

Based on the sample survey, only 20 percent of the members will sign the petition. Since, in the sample, the number of those who will sign is less than 33%, the union should be told that there is no need for the National Labor Relations Board to call for the election.

5 0
3 years ago
Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long will it take him to rake 5 ba
kicyunya [14]

Answer:

26 minutes and 40 seconds

Step-by-step explanation:

5 0
3 years ago
What is the value of x?<br> (9x - 3)<br> (6x)<br> 48°<br> Enter your answer in the box.<br> X=
Dima020 [189]

Answer:  x = 9

Step-by-step explanation:

The sum of three interior angles of a triangle is 180°.

(9x - 3)  + (6x)  + 48° = 180°

9x - 3 + 6x + 48 = 180

15x + 45 = 180

15x = 135

x = 9

6 0
2 years ago
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