Find the x intercept of the line please! and thank you

x intercept at x = -64/3

Step-by-step explanation:

The values in this table are given:

x -38 -23 -8

y 40 30 20

y = ax + b

a is the gradient (or slope).

b = y intercept, which is the pint on the y-axis, where the x coordinate = 0.

a = (-23 - -38) / (40-30) = 15/10 = 3/2

Rewrite to solve for b, which means rewrite so it starts with b = ...

b = y - 3/2 * x

Substitute one point ( -8, 20 )

b = 20 - (3/2 * -8)

b = 20 - ( -12)

b = 20 + 12

b = 32

So now we have the formula for the line:

y = 3/2*x + 32

To find the x intercept, you need to substitute y = 0

0 = 3/2*x + 32

3/2*x = -32

multiply left and right of the = with 2/3 gives:

x = 2/3 * -32

x = -64/3

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: