All categories

2 years ago

Work out m and c for the line: 3 y + 6 x = − 3

Mathematics

1 answer:

Usimov [2.4K]2 years ago

8 0

Answer:

m is -2 and c is -1

Step-by-step explanation:

• Let's first phrase out the general equation of a line

${ \rm{y = mx + c}}$

m is the slope
c is the y-intercept

[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

${ \rm{3y + 6x = - 3}}$

• let's make y the subject in order to make the equation in slope - intercept format.

→ remember to apply "subject making knowledge"

${ \rm{3y = - 3 - 6x}} \\ \\ { \rm{3y = - 6x - 3}} \\ \\ { \rm{ \frac{3y}{3} = \frac{ - 6x}{3} - \frac{3}{3} }} \\ \\ { \boxed{ \rm{y = - 2x - 1}}}$

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

${ \rm{m \: \dashrightarrow \: - 2}} \\ \\ { \rm{c \: \dashrightarrow \: - 1}}$

You might be interested in

Help me plz :)))))))

AnnZ [28]

nbjkisoe how w when

3 0

2 years ago

Write the equation in standard form. Identity the center and radius. x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

1 year ago

What is the range of possible sides for side x? The other two sides are 3.2 and 5.5

Alecsey [184]

Answer:

2.3 < x < 8.7

Step-by-step explanation:

Given 2 sides of a triangle then the 3rd side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

5.5 - 3.2 < x < 5.5 + 3.2

2.3 < x < 8.7

6 0

2 years ago

Chain complete 40% of her homework on Monday and 2/3 on Tuesday if she started her homework on Monday what fractional part of he

kotykmax [81]

Answer:

1/5

Step-by-step explanation:

For Monday

The fraction of homework Chain completed =

40% of her homework

= 40% = 40/100

= 2/5

For Tuesday

The amount of home work left =

= 1 - 2/5

3/5

The fraction of homework Chain completed on Tuesday = 2/3

= 2/3 Of 3/5

= 2/3 × 3/5

= 2/5

Let the total complete homework be represented by 1

Hence:

The Fractional part of her homework left for her to complete after Tuesday =

1 - (2/5 + 2/5)

Lowest common denominator is 5

= 1 - (2 + 2/5)

= 1 - (4 /5)

= 1/5

8 0

2 years ago

2) A big league pitching coach tries to limit his pitchers to 110

dem82 [27]

P is less than or equal to (<) 110-52 you want to use the < sign with a line under it. The minus 52 is because he has already thrown 52 out of his 110 and P is how many pitches he is alloted

8 0

2 years ago