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2 years ago

Which of the following represents an equation in standard form for the line that passes through (3, −1) and (−5, −3).

Mathematics

1 answer:

kotegsom [21]2 years ago

6 0

Answer:

y = ¼x + (-7/4)

Step-by-step explanation:

find the gradient ( M)

M = y2- y1 ÷ x2-x1

M= -3 - (-1)÷(-5)-3 = ¼

find C in the equation (y=mx+c)

(use in y and x values provided)

now replace the values you find in the equation (y=Mx+C)

final answer is

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Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 it

uranmaximum [27]

<h2>Therefore the length of the living room = 24 ft</h2>

Step-by-step explanation:

Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is $\frac {5}{8}$ its length

Let ,the length of the living room is = x ft

Then width = $\frac {5}{8}x$ ft

Therefore the area of the living room = $x \times \frac {5}{8}x ft^2$

According to problem,

$x\times \frac {5}{8}x = 360$

⇔ $\frac{5}{8}x^2=360$

⇔ $x^2 = \frac{360\times 8}{5}$

⇔ $x^2 = 576$

⇔ $x=\sqrt{576}$

⇔ $x = 24$

Therefore the length of the living room = 24 ft

8 0

3 years ago

Read 2 more answers

Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))

iren2701 [21]

Answer:

369

Step-by-step explanation:

g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).

and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).

f(6) = 8×6 + 5 = 48 + 5 = 53

and now

g(53) = 7×53 - 2 = 371 - 2 = 369

to check we do the general functional substitution :

g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33

g(f(6)) = 56×6 + 33 = 336 + 33 = 369

correct

5 0

3 years ago

PLEASE HELP! WILL GIVE BRAINLIEST!!

Maslowich

Your answer is -6+3i.

6 0

3 years ago

Read 2 more answers

F. determine if (x + 3) is a factor of (x) = 2x3 + x2 –8x + 21 by using synthetic division. if so, find the other factors.

babymother [125]

Since its x + 3 we use -3

-3| 2 1 -8 21 (these are the # without the x)
___________________

-6 15 -21
-------------------------------
2 -5 7 0

Drag the 2 down, multiple it by -3 to get -6
1+(-6) = -5. -5 * -3 =15 . 15+(-8) = 7
7*-3 = -21. -21 +21 = 0
Since last # is 0 we have a factor.

factor is 2x^2 -5x -7 (we start with a power 1 less the original.)

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4 0

3 years ago

vlabodo [156]

The equation of the graphed line 2x + 3y = -6 written in standard form is, $\rm y= -\frac{2}{3}x -2$ and for line 2x + 3y = 6 will be, $\rm y = \frac{-2}{3}x+2$

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

a) 2x + 3y = -6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

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

To obtain the slope standard form, we rewrite. The obtained equation is in the form of the slope-intercept.

b) 2x + 3y = 6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

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

Hence, The equation of the graphed line 2x + 3y = -6 written in standard form is, $\rm y= -\frac{2}{3}x -2$

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

What is the equation of the graphed line written in standard form?

2x + 3y = -6, 2x + 3y = 6

Summary:

a. The equation of the graphed line 2x + 3y = -6 written in standard form is y= -2/3 x -2.

b. The equation of the graphed line 2x + 3y = 6 written in standard form is y= -2/3 x +2.

3 0

2 years ago