Mathematics, 04.12.2020 22:30 Shami7457

Please write the slope of the line below:
1
X
4
5
WN -

Answers: 1

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Answer from: Quest

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

$m=y/x=1/3$

the equation of the dashed line is

$y=(1/3)x$

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

$y> (1/3)x$

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

$m=(4-0)/(0-4)=-1$

the equation of the solid line is

$y=-x+4$

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

$y\leq-x+4$

step 3

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

Answer from: Quest

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = $\frac{-5-4}{3-0}$ = $\frac{-9}{3}$ = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

Answer from: Quest

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at ( h , k ) .

center: ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center: ( 3 , 1 ).

radius: 4

Answer from: Quest

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22 this is the first item in the sequence

d =6 this is how the sequence goes up

a) an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

a12 = 22+11*6

a12 = 22 +88

a12 = 110

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Please write the slope of the line below:
1
X
4
5
WN -...

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