give the equation of a line that goes through the point (-4,-1) and is parallel to the line -3x+5y=-10​

Step-by-step explanation:

1) the equation of the given line in the slope-interception form is:

y= 3/5 x -2;

the equation of the required line is

y=slope*x+i;

2) if the required line is parallel to the given one, it means, the value of its slope is the same, it means 3/5;

then the equation of the required line is

y=3/5*x+i;

3) if the point (-4;-1) belongs to the required line, then it is possible to substitute its coordinates into the equiation of the required line

-1= 3/5*(-4)+i;

4) it is possible to calculate the value of 'i':

i=7/5;

5) if slope=3/5, i=7/5, then the required equation of the line in slope-interception form is:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

96 39 cause 135 -96=39 im smart (i used a calculater)