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Marysya12 [62]
3 years ago
8

Work out m and c for the line: 2x + 3y +1=0 m=c =​

Mathematics
1 answer:
Sergio [31]3 years ago
4 0

Answer:

m = - \frac{2}{3} , c = - \frac{1}{3}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y + 1 = 0 ( subtract 2x + 1 from both sides )

3y = - 2x - 1 ( divide terms by 3 )

y = - \frac{2}{3} x - \frac{1}{3} ← in slope- intercept form

with m = - \frac{2}{3} and c = - \frac{1}{3}

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Step-by-step explanation:

3 0
3 years ago
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The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
Debora [2.8K]

Answer:

The width  of the rectangle is 14'8",  and the length is 33'4"

Step-by-step explanation:

We're given two pieces of information:

The length is eight more than twice the width:

l = 2w + 4

The perimeter is 96 feet:

p = 96

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

p = 2l + 2w

We can solve for w by plugging the other two values into the last:

p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}

Now we can find the length by plugging w into the first equation:

l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}

One third of  a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96

So we know our answer's correct

8 0
3 years ago
Find the area of the shape shown below​
GuDViN [60]

Answer: 42 units squared

Step-by-step explanation:

3x7=21

3x7=21 divided by 2 = 10.5 + 10.5 = 21 so,

21+21=42

Hope it helps

3 0
3 years ago
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I need the answer please
sergeinik [125]
Y=40 I believe this is the answer
4 0
3 years ago
What are the domain and range of the function f(x) = 3x + 5? domain: (negative infinity, infinity); range: (0, infinity) domain:
AlekseyPX

Answer:

Domain : (-∞,∞)  Range : (-∞,∞)

Step-by-step explanation:

Given:

f(x) = 3x+5

To find: Domain and Range of f(x)

Domain is the set of values that x can take.

Range is the set of values of y corresponding to the values of x in the domain.

Here x can take any value and the domain is the set of real numbers i.e (-∞,∞).

f(x) = 3x + 5

The graph of f(x) is a straight line that extends from -∞ to +∞ and hence the range is (-∞,∞).

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3 years ago
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