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eimsori [14]
3 years ago
12

Problem 4 9x + 27 y = 45 The slope of the equation is..

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer:

Slope = -1/3

Step-by-step explanation:

9x + 27y = 45

Let's rearrange

Following the equation of a line

y = mx + c

y - intercept point y

x - intercept point x

m - slope of the line

c - intercept of the line

9x + 27y = 45

27y = 45 - 9x

27y = -9x + 45

Divide both sides by 27 , to make the y the subject of the formula

27y/27 = ( -9x + 45)/27

y = ( -9x + 45)/27

y = mx + c

We have to separate, so as to get the slope and also the intercept

y = ( -9x + 45)/27

y = -9x/27 + 45/27

We can simply further

y = -x/3 + 5/3

Therefore, the slope of the equation is -1/3

The intercept is 5/3

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Answer:

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18. what is the midpoint of PQ P(-2, 2.5), Q(1.4, 4)​
scoray [572]

Mid point of the points PQ is (₋0.3 , 3.25)

Given points are:

P(₋2 , 2.5)

Q(1.4 , 4)

midpoint of PQ = ?

A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.

The midpoint calculation is the same as averaging two numbers. As a result, by adding any two integers together and dividing by two, you may find the midpoint between them.

Midpoint formula (x,y) = (x₁ ₊ x₂/2 , y₁ ₊ y₂/2)

we have two points:

P(₋2,2.5) = (x₁,y₁)

Q(1.4,4) = (x₂,y₂)

Midpoint = (₋2 ₊ 1.4/2 , 2.5₊4/2)

= (₋0.6/2 , 6.5/2)

= (₋0.3 , 3.25)

Hence we determined the midpoint of PQ as (₋0.3 , 3.25)

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The area of the face of a cube is 9 square centimeters. Use 9 of these cubes to make a rectangular prism. What is the volume of
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Answer:

243 cm^3

Step-by-step explanation:

The faces of a cube are squares.

A = s^2

s^2 = 9 cm^2

s = 3 cm

The side of the square is the edge of the cube and is 3 cm.

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The volume of one cube is 27 cm^3.

The volume of 9 cubes is 9 * 27 cm^3 = 243 cm^3

Answer: 243 cm^3

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