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alina1380 [7]
3 years ago
13

Find the slope and y-intercept of the line. 12x + 2y = –60

Mathematics
1 answer:
Zanzabum3 years ago
8 0

Answer:

<h2>slope = -6, y-intercept = -30</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

<em>y = mx + b</em>

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the equation in a standard form (<em>Ax + By = C</em>).

Convert to the slope-intercept form:

<em>12x + 2y = -60</em><em>                  subtract </em><em>12x</em><em> from both sides</em>

<em>12x - 12x + 2y = -12x - 60</em><em> </em>

<em>2y = -12x - 60</em><em>          divide both sides by 2</em>

<em>2y/2 = -12x/2 - 60/2</em>

<em>y = -6x - 30 → m = -6, b = -30</em>

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If a width of a rectangle is 5 1/6 cm and its length is 2 2/7 cm what is its area?
azamat

Answer:

11.8095238095 or 11.81

Step-by-step explanation:

The way to figure out the area of a rectangle is by multiplying the width by the length. In your case, you would multiply 5 1/6 by 2 2/7 to get 11.8095238095 but we can always round it to 11.81. I hope this helps...

5 0
4 years ago
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What is the volume of the cylinder shown? (Use 3.14 for pi.)
Ber [7]

Answer:

14,836.5 in^3

Step-by-step explanation:

The volume of a cylinder is given by the equation (πr^2)h where r stands for radius and h stands for height

The radius of the cylinder is 15 in

The height of the cylinder is 21 in

Volume=15×15×21×π

=14836.5 in^3

4 0
3 years ago
Can u help me with thú one!? Thank you so much
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5 0
3 years ago
The estimated population of Los Angeles in 2019 was 3,979,576. Its area is 469 square miles. What is the population density of L
vladimir2022 [97]

Given that, the estimated population of Los Angeles in 2019 was 3,979,576 and its  area is 469 square miles, the population density of Los Angeles is  8486 people per square miles.

<h3>What is the population density of Los Angeles, in people per square mile?</h3>

Population density simply the measurement of population per unit area.

It is expressed as;

Population density = Number of people / Area

Given the data in question;

  • Number of people in Los Angeles N = 3,979,576 people
  • Area of Los Angeles A = 469 square miles
  • Population density = ?

We substitute the given values into the above equation.

Population density = Number of people / Area

Population density = 3,979,576 people / 469 square miles

Population density = 8485.23667 ≈ 8486 people per square miles

Given that, the estimated population of Los Angeles in 2019 was 3,979,576 and its  area is 469 square miles, the population density of Los Angeles is  8486 people per square miles.

Learn more about population density here: brainly.com/question/1581160

#SPJ1

4 0
2 years ago
A van travels at a constant speed of x km/hr over a distance of 45km/hr. If the van increases its speed by 4km/h, it will be abl
harkovskaia [24]
Speed = Distance/Time. Let speed be V, distance D and time T

a)Given: D₁ =45km, V₁=x km/h 
V₁=D₁/T
V₁=45/T OR T= 45/V₁

b) Given : D₂ =48 km and V₂ = V₁ + 4 km/h
V₂ = 48/T, but V₂ = V₁+4, then:

V₁+4 = 48/T OR  T=48/(V₁+4). Since Time is same, then we can write:
45/V₁ =48/(V₁+4), solve for V₁:
45V₁ + 180 = 48V₁

3V₁ =180 and V₁ = x = 60 km/h
8 0
3 years ago
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