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polet [3.4K]
3 years ago
8

What is the slope of a line parallel to the line whose equation is x-3y=-27 Fully reduce your answer​

Mathematics
1 answer:
Alex17521 [72]3 years ago
3 0

Answer:

<h3>1/3</h3>

Step-by-step explanation:

Note that any line parallel to the given line will have the same slope as the line given.

Given the equation of the line expressed as x - 3y =-27

Rewrite in standard form y = mx+c where m is the slope

x - 3y =-27

-3y = -x -27

Multiply  through by -11

3y = x+27

Divide through by 3

y = 1/3 x + 9

Since the slope of the line is 1/3, hence the slope of a line parallel to the line is also 1/3

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Every 30 min the tank fills up to 40 gallons
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3 years ago
Use the Distributive Property to write each expression as an equivalent algebraic expression. (7 + a)3 Question 4 options: 3(7a)
AysviL [449]

Answer:

(B)21+3a

Step-by-step explanation:

An expression is said to be distributive when:

(a+b)c=a \cdot c+b \cdot c

Given the algebraic expression: (7 + a)3

Applying the distributive property

(7 + a)3 = 7 \cdot 3+a \cdot 3\\=21+3a

An equivalent expression is 21+3a.

The correct option is B

5 0
4 years ago
Which ordered pairs are in the solution set of the system of linear inequalities?
never [62]

Options:

(2, 2), (3, 1), (4, 2)

(2, 2), (3, –1), (4, 1)

(2, 2), (1, –2), (0, 2)

(2, 2), (1, 2), (2, 0)

Answer:

A. (2, 2), (3, 1), (4, 2)  

Step-by-step explanation:

Given

y > -\frac{1}{3}x + 2

y < 2x + 3

Required

Solve for x and y

To solve this, we make use of graphical method (see attachment for graph)

All points that lie on the shaded region are true for the inequality

Next, we plot each of the given options on the graph

A. (2, 2), (3, 1), (4, 2)

All 3 points lie on the shaded region.

<em>Hence, (a) is true</em>

8 0
3 years ago
What is the slope for the function y=2x^2+2 at the point x= 3?
Katarina [22]
1) We have to calculate the first derivative:
y=2x²+2
y´=4x

2) the slope at the point x=3; will be f´(3);
f´(3)=4(3)=12

answer: the slope will be 12.

3 0
3 years ago
Find the equation of this line.<br> [?]<br> x + [ ]<br> y
Leona [35]

Step-by-step explanation:

In a equation of a line

y=mx+c

Let's take two points from the graph (0,1) and (4,3)

Slope=m= (3-1/4-0)= 2/4=1/2

C= 1

y=½x+1

8 0
3 years ago
Read 2 more answers
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